From 04e2bb29c7684975ad0d1c1eef8f3690991e0eeb Mon Sep 17 00:00:00 2001 From: xinxiao Date: Fri, 13 Mar 2026 11:24:41 +0800 Subject: [PATCH] init --- closeup.m | 1 + .../preprocess/EDFM_transFunction/Bpara.m | 17 + .../preprocess/EDFM_transFunction/Fpara.m | 14 + .../preprocess/EDFM_transFunction/anios.m | 4 + .../preprocess/EDFM_transFunction/finddg.m | 8 + .../preprocess/EDFM_transFunction/finddgAn.m | 15 + .../preprocess/EDFM_transFunction/findg.m | 7 + .../preprocess/EDFM_transFunction/findgAn.m | 16 + .../preprocess/EDFM_transFunction/transFunc.m | 35 + .../EDFM_transFunction/transFunc_aniso.m | 115 +++ .../EDFM_transFunction/transFuncdeltt.m | 29 + .../preprocess/EDFM_transFunction/transMF.m | 61 ++ core functions/preprocess/Ulit/ADI.m | 324 +++++++ core functions/preprocess/Ulit/ADtimestep.m | 6 + core functions/preprocess/Ulit/OperatorRS.m | 24 + core functions/preprocess/Ulit/dinterptable.m | 13 + core functions/preprocess/Ulit/fluidPVT.m | 17 + core 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算例6-油水两相流-直井注压裂水平井采/plot_3D_dis.m create mode 100644 算例7-油水两相流-不同裂缝制度不同/grid_discretization_SP_model.m create mode 100644 算例7-油水两相流-不同裂缝制度不同/main1.m create mode 100644 算例7-油水两相流-不同裂缝制度不同/oil_water_flow.m create mode 100644 算例7-油水两相流-不同裂缝制度不同/plotWellResponse.m diff --git a/closeup.m b/closeup.m new file mode 100644 index 0000000..2dc10c7 --- /dev/null +++ b/closeup.m @@ -0,0 +1 @@ + rmpath(genpath(pwd)) \ No newline at end of file diff --git a/core functions/preprocess/EDFM_transFunction/Bpara.m b/core functions/preprocess/EDFM_transFunction/Bpara.m new file mode 100644 index 0000000..332dba3 --- /dev/null +++ b/core functions/preprocess/EDFM_transFunction/Bpara.m @@ -0,0 +1,17 @@ +function BF = Bpara(xb, yb) +n = length(xb); +BF = zeros(n, 7); +BF(:,3) = xb; +BF(:,4) = yb; +for i = 1 : n + if i == n + ip = 1; + else + ip = i + 1; + end + BF(i,1) = (xb(i) + xb(ip)) / 2; + BF(i,2) = (yb(i) + yb(ip)) / 2; + BF(i,5) = ((xb(i) - xb(ip))^2 + (yb(i) - yb(ip))^2)^0.5; + BF(i,6) = (yb(ip) - yb(i)) / BF(i,5); + BF(i,7) = (xb(i) - xb(ip)) / BF(i,5); +end \ No newline at end of file diff --git a/core functions/preprocess/EDFM_transFunction/Fpara.m b/core functions/preprocess/EDFM_transFunction/Fpara.m new file mode 100644 index 0000000..ed624c1 --- /dev/null +++ b/core functions/preprocess/EDFM_transFunction/Fpara.m @@ -0,0 +1,14 @@ +function FF = Fpara(xf, yf) +nf = length(xf)/2; +FF = zeros(nf, 7); +for i = 1 : nf + i1 = 2 * i - 1; + i2 = 2 * i; + FF(i,3) = xf(i1); + FF(i,4) = yf(i1); + FF(i,1) = (xf(i1) + xf(i2)) / 2; + FF(i,2) = (yf(i1) + yf(i2)) / 2; + FF(i,5) = ((xf(i1) - xf(i2))^2 + (yf(i1) - yf(i2))^2)^0.5; + FF(i,6) = (yf(i2) - yf(i1)) / FF(i,5); + FF(i,7) = (xf(i1) - xf(i2)) / FF(i,5); +end \ No newline at end of file diff --git a/core functions/preprocess/EDFM_transFunction/anios.m b/core functions/preprocess/EDFM_transFunction/anios.m new file mode 100644 index 0000000..a3f24aa --- /dev/null +++ b/core functions/preprocess/EDFM_transFunction/anios.m @@ -0,0 +1,4 @@ +function [x1, y1, ka] = anios(kx, ky, x, y) +ka = (kx*ky)^0.5; +x1 = x*(ka/kx)^0.5; +y1 = y*(ka/ky)^0.5; \ No newline at end of file diff --git a/core functions/preprocess/EDFM_transFunction/finddg.m b/core functions/preprocess/EDFM_transFunction/finddg.m new file mode 100644 index 0000000..89788d8 --- /dev/null +++ b/core functions/preprocess/EDFM_transFunction/finddg.m @@ -0,0 +1,8 @@ +function dG = finddg(xs, ys, xk, yk, nkx, nky, lk) +% Function aims to solve the boundary integrals +dG = (lk / (2 * pi)) * quadgk(@(t)intdg(xs, ys, xk, yk, nkx, nky, lk, t), 0, 1); + +% intg.m +function y = intdg(xs, ys, xk, yk, nkx, nky, lk, t) +y = (nkx*(xk - xs) + nky*(yk - ys))... + ./((xk - t*lk*nky - xs).^2 + (yk + t*lk*nkx - ys).^2); \ No newline at end of file diff --git a/core functions/preprocess/EDFM_transFunction/finddgAn.m b/core functions/preprocess/EDFM_transFunction/finddgAn.m new file mode 100644 index 0000000..e177111 --- /dev/null +++ b/core functions/preprocess/EDFM_transFunction/finddgAn.m @@ -0,0 +1,15 @@ +function dG = finddgAn(xs, ys, xk, yk, nkx, nky, lk) +% Function aims to solve the boundary integrals +A = lk^2; +B = (-nky * (xk - xs) + nkx * (yk - ys)) * (2 * lk); +E = (xk - xs)^2 + (yk - ys)^2; +eps = 1e-9; +De = 4 * A * E - B^2; +if De <= eps + dG = 0; +else + dG = lk/pi * (nkx*(xk - xs)+nky*(yk - ys))/De^0.5 * ... + (atan((2*A+B)/De^0.5) - atan(B/De^0.5)); +end + + diff --git a/core functions/preprocess/EDFM_transFunction/findg.m b/core functions/preprocess/EDFM_transFunction/findg.m new file mode 100644 index 0000000..1dbf909 --- /dev/null +++ b/core functions/preprocess/EDFM_transFunction/findg.m @@ -0,0 +1,7 @@ +function G = findg(xs, ys, xk, yk, nkx, nky, lk) +% Function aims to solve the boundary integrals +G = (1 / (4 * pi)) * quadgk(@(t)intg(xs, ys, xk, yk, nkx, nky, lk, t), 0, 1); + +% intg.m +function y = intg(xs, ys, xk, yk, nkx, nky, lk, t) +y = log((xk - t*lk*nky - xs).^2 + (yk + t*lk*nkx - ys).^2); \ No newline at end of file diff --git a/core functions/preprocess/EDFM_transFunction/findgAn.m b/core functions/preprocess/EDFM_transFunction/findgAn.m new file mode 100644 index 0000000..91aa0cd --- /dev/null +++ b/core functions/preprocess/EDFM_transFunction/findgAn.m @@ -0,0 +1,16 @@ +function G = findgAn(xs, ys, xk, yk, nkx, nky, lk) +% Function aims to solve the boundary integrals +A = lk^2; +B = (-nky * (xk - xs) + nkx * (yk - ys)) * (2 * lk); +E = (xk - xs)^2 + (yk - ys)^2; +eps = 1e-9; +De = 4 * A * E - B^2; +if De <= eps + G = lk/2/pi * (log(lk/2) - 1); +else + G = 1/4/pi * (2*(log(lk) - 1) - B/2/A*log(abs(E/A))... + + (1 + B/2/A)*log(abs(1 + B/A + E/A)) + De^0.5/A... + *(atan((2*A + B)/De^0.5) - atan(B/De^0.5))); +end + + diff --git a/core functions/preprocess/EDFM_transFunction/transFunc.m b/core functions/preprocess/EDFM_transFunction/transFunc.m new file mode 100644 index 0000000..5605d2b --- /dev/null +++ b/core functions/preprocess/EDFM_transFunction/transFunc.m @@ -0,0 +1,35 @@ +function [qomf, qofm, qwmf, qwfm] = transFunc(r, krO, krW, BO, muO, BW, muW, po, pw) +%po,pwǶ +Ka = r.Ka; +M = r.M; +F2M = r.F2M; +MF_coef = r.MF_coef; +nfc = r.nfc;%ѷ쵥Ԫ +nc = r.nc; % 彻 +C = sparse((1 : nfc)' * [1 1], M, ones(nfc, 1) * [-1 1], nfc, nc); +grad = @(x) C * x; +faceUpstr = @(flag, x) faceUpstrb(flag, x, M, [nfc, nc]); +dpO = grad(po); +upc = (double(dpO)<=0); +mobO = faceUpstr(upc, krO./(BO.*muO)); +% qomf = Ka .* r.h .* mobO .* (MF_coef * po);%Ϊѷ쵥Ԫ +qomf = r.V(r.nmc+1:r.nc)./r.wf.*Ka' .* mobO .* (MF_coef * po);%ѷΪΪһʼõǴܶ +% qomf = r.V(r.nmc+1:r.nc).*Ka .* mobO .* (MF_coef * po); +% qomf = Ka .* mobO .* (MF_coef * po); +qofm = -F2M * qomf;%Ϊ +dpW = grad(pw); +upc = (double(dpW)<=0); +mobW = faceUpstr(upc, krW./(BW.*muW)); +% qwmf = Ka .* r.h .* mobW .* (MF_coef * pw); +qwmf = r.V(r.nmc+1:r.nc)./r.wf.*Ka' .* mobW .* (MF_coef * pw); +% qwmf = r.V(r.nmc+1:r.nc).*Ka .* mobW .* (MF_coef * pw); +% qwmf = Ka .* mobW .* (MF_coef * pw); +qwfm = -F2M * qwmf; + + +function xu = faceUpstrb(flag, x, N, sz) +flag = logical(flag); +upcell = N(:, 2); +upcell(flag) = N(flag, 1); +xu = sparse((1 : sz(1))', upcell, 1, sz(1), sz(2)) * x; + diff --git a/core functions/preprocess/EDFM_transFunction/transFunc_aniso.m b/core functions/preprocess/EDFM_transFunction/transFunc_aniso.m new file mode 100644 index 0000000..08d2de1 --- /dev/null +++ b/core functions/preprocess/EDFM_transFunction/transFunc_aniso.m @@ -0,0 +1,115 @@ +function [Ka, M, F2M , MF_coef,MF_deltt] = transFunc_aniso(nc,coordinates, nodes, connectmf,Ap,Apf , matrixvsfra,N,T , kx, ky,kz) +%[Ka, M, F2M , MF_coef,MF_deltt] = transFunc_aniso(nc,coordinates, nodes, connectmf,Ap,Apf ,Apmt,Apft, matrixvsfra,N,T , kx, ky,kz) +Ncell = size(connectmf, 1);%ѷ쵥ԪĻ +nmc=size(matrixvsfra,1); +nfc=nc-nmc; +I = zeros(1, 1); +J = zeros(1, 1); +M = zeros(1, 2); +Ka = zeros(1, 1); +cou = 0; +for i = 1 : Ncell + ie = connectmf{i,1};%ûı +% indxf = ConnecS{i, 3};%ûѷ쵥Ԫ/ +% order = reshape(ConnecS{i,2}',[],1);%ûаѷı +% xb = coordinates(nodes(ie,:),1);%û񶥵x +% yb = coordinates(nodes(ie,:),2);%û񶥵y +% xf = Linep(order,1);%ѷx +% yf = Linep(order,2);%ѷy +% ǸԣͽԱ +% ȱͬԵ +% [xb1, yb1, ka] = anios(kx(ie), ky(ie), xb, yb); +% [xf1, yf1, ~] = anios(kx(ie), ky(ie), xf, yf); +% BF = Bpara(xb1, yb1); +% FF = Fpara(xf1, yf1); +% [Ap, Apf] = transMF(BF, FF); + indxf=connectmf{i,2}; + Api=Ap{i,1}; Apfi=Apf{i,1}; + nlf = length(indxf);%ûаѷ쵥Ԫ + ind = ie;%ûı + indf = indxf + nmc;%ûѷ쵥Ԫncе + m1 = repmat(ind, nlf, 1); + f1 = repmat(indf, nlf, 1); + Il = zeros(nlf, 1+nlf); + Jl = [m1 f1]; + Vl = [Api Apfi]; + for j = 1 : nlf + cou = cou + 1; + Il(j,:) = indxf(j); + I(cou) = ie; + J(cou) = indxf(j);%ѷ쵥Ԫnfcе + ka=(kx(ie)*ky(ie)*kz(ie))^(1/3); + Ka(cou) = ka; + M(cou, 1) = connectmf{i,1}; + M(cou, 2) = indf(j); + end + Il = reshape(Il, [], 1); + Jl = reshape(Jl, [], 1); + Vl = reshape(Vl, [], 1); + if i == 1 + I2 = Il; + J2 = Jl; + V2 = Vl; + else + I2 = [I2; Il]; + J2 = [J2; Jl]; + V2 = [V2; Vl]; + end +end +V = ones(cou, 1); +F2M = sparse(I, J, V, nmc, nfc); +MF_coef = sparse(I2, J2, V2, nfc, nc); +% for i = 1 : Ncell +% ie = connectmf{i,1};%ûı +% indxf = ConnecS{i, 3};%ûѷ쵥Ԫ/ +% order = reshape(ConnecS{i,2}',[],1);%ûаѷı +% xb = coordinates(nodes(ie,:),1);%û񶥵x +% yb = coordinates(nodes(ie,:),2);%û񶥵y +% xf = Linep(order,1);%ѷx +% yf = Linep(order,2);%ѷy +% ǸԣͽԱ +% ȱͬԵ +% [xb1, yb1, ka] = anios(kx(ie), ky(ie), xb, yb); +% [xf1, yf1, ~] = anios(kx(ie), ky(ie), xf, yf); +% BF = Bpara(xb1, yb1); +% FF = Fpara(xf1, yf1); +% [Ap, Apf] = transMF(BF, FF); +% indxf=connectmf{i,2}; +% Apmti=Apmt{i,1}; Apfti=Apft{i,1}; +% nlf = length(indxf);%ûаѷ쵥Ԫ +% ind = ie;%ûı +% indf = indxf + nmc;%ûѷ쵥Ԫncе +% m1 = repmat(ind, nlf, 1); +% f1 = repmat(indf, nlf, 1); +% Il = zeros(nlf, 1+nlf); +% Jl = [m1 f1]; +% Vl = [Apmti Apfti]; +% for j = 1 : nlf +% cou = cou + 1; +% Il(j,:) = indxf(j); +% % I(cou) = ie; +% % J(cou) = indxf(j);%ѷ쵥Ԫnfcе +% % ka=(kx(ie)*ky(ie)*kz(ie))^(1/3); +% % Ka(cou) = ka; +% % M(cou, 1) = connectmf{i,1}; +% % M(cou, 2) = indf(j); +% end +% Il = reshape(Il, [], 1); +% Jl = reshape(Jl, [], 1); +% Vl = reshape(Vl, [], 1); +% if i == 1 +% I2 = Il; +% J2 = Jl; +% V2 = Vl; +% else +% I2 = [I2; Il]; +% J2 = [J2; Jl]; +% V2 = [V2; Vl]; +% end +% end +% % V = ones(cou, 1); +% % F2M = sparse(I, J, V, nmc, nfc); +% MF_deltt = sparse(I2, J2, V2, nfc, nc); +% end + + diff --git a/core functions/preprocess/EDFM_transFunction/transFuncdeltt.m b/core functions/preprocess/EDFM_transFunction/transFuncdeltt.m new file mode 100644 index 0000000..cdfb140 --- /dev/null +++ b/core functions/preprocess/EDFM_transFunction/transFuncdeltt.m @@ -0,0 +1,29 @@ +function [qomf, qofm] = transFuncdeltt(r, BO, muO, po,dt,pi) +%po,pwǶ +Ka = r.Ka; +M = r.M; +F2M = r.F2M; +MF_coef = r.MF_coef; +nfc = r.nfc;%ѷ쵥Ԫ +nc = r.nc; % 彻 +C = sparse((1 : nfc)' * [1 1], M, ones(nfc, 1) * [-1 1], nfc, nc); +grad = @(x) C * x; +faceUpstr = @(flag, x) faceUpstrb(flag, x, M, [nfc, nc]); +dpO = grad(po); +upc = (double(dpO)<=0); +mobO = faceUpstr(upc, 1./(BO.*muO)); +% qomf = Ka .* r.h .* mobO .* (MF_coef * po);%Ϊѷ쵥Ԫ +qomf = r.V(r.nmc+1:r.nc)./r.wf.*Ka' .* mobO .* (MF_coef * po)+1/dt*(r.cpor+0.1*r.co)*r.wf.*(r.MF_deltt*(po-pi));%ѷΪΪһʼõǴܶ +% qomf = r.V(r.nmc+1:r.nc)./r.wf.*(Ka' .* mobO .* (MF_coef * po)); +% qomf = r.V(r.nmc+1:r.nc).*Ka .* mobO .* (MF_coef * po); +% qomf = Ka' .* mobO .* (MF_coef * po); +qofm = -F2M * qomf;%Ϊ + + + +function xu = faceUpstrb(flag, x, N, sz) +flag = logical(flag); +upcell = N(:, 2); +upcell(flag) = N(flag, 1); +xu = sparse((1 : sz(1))', upcell, 1, sz(1), sz(2)) * x; + diff --git a/core functions/preprocess/EDFM_transFunction/transMF.m b/core functions/preprocess/EDFM_transFunction/transMF.m new file mode 100644 index 0000000..59716eb --- /dev/null +++ b/core functions/preprocess/EDFM_transFunction/transMF.m @@ -0,0 +1,61 @@ +function [Ap, Apf] = transMF(BF, FF) +[nb,~] = size(BF); +[nf,~] = size(FF); +Gb = zeros(nb); +dGb = zeros(nb); +Gmf = zeros(nb, nf); +Gf = zeros(nf, nb); +dGf = zeros(nf, nb); +Gff = zeros(nf); +xb = BF(:,1); +yb = BF(:,2); +xmk = BF(:,3); +ymk = BF(:,4); +lmk = BF(:,5); +nxmk = BF(:,6); +nymk = BF(:,7); +xf = FF(:,1); +yf = FF(:,2); +xfk = FF(:,3); +yfk = FF(:,4); +lfk = FF(:,5); +nxfk = FF(:,6); +nyfk = FF(:,7); +% boundary equation +for i = 1 : nb + for j = 1 : nb + if j == i + dGb(i, j) = 0.0; + Gb(i, j) = 1/(2*pi) * (log(lmk(j)/2) - 1.0); + else + Gb(i, j) = findg(xb(i), yb(i), xmk(j), ymk(j), nxmk(j), nymk(j), lmk(j)); + dGb(i, j) = finddg(xb(i), yb(i), xmk(j), ymk(j), nxmk(j), nymk(j), lmk(j)); + end + end + for j = 1 : nf + Gmf(i, j) = findg(xb(i), yb(i), xfk(j), yfk(j), nxfk(j), nyfk(j), lfk(j)); + end +end +dGb = dGb - 0.5 * eye(nb); +% fracture equation +for i = 1 : nf + for j = 1 : nb + Gf(i, j) = findg(xf(i), yf(i), xmk(j), ymk(j), nxmk(j), nymk(j), lmk(j)); + dGf(i, j) = finddg(xf(i), yf(i), xmk(j), ymk(j), nxmk(j), nymk(j), lmk(j)); + end + for j = 1 : nf + if i == j + Gff(i, j) = 1/(2*pi) * (log(lfk(j)/2) - 1.0); + else + Gff(i, j) = findg(xf(i), yf(i), xfk(j), yfk(j), nxfk(j), nyfk(j), lfk(j)); + end + end +end +Gbv = Gb^(-1); +Ap0 = dGf - Gf * Gbv * dGb; +Apf0 = Gf * Gbv * Gmf - Gff; +Apfv = Apf0^(-1); +Ap = Apfv * Ap0; +Ap = Ap * ones(nb,1); +Apf = -Apfv; + diff --git a/core functions/preprocess/Ulit/ADI.m b/core functions/preprocess/Ulit/ADI.m new file mode 100644 index 0000000..f7c2b25 --- /dev/null +++ b/core functions/preprocess/Ulit/ADI.m @@ -0,0 +1,324 @@ +classdef ADI + % ADI class: simple implementation of automatic differentiation for easy construction of jacobian matrices. + % + % SYNOPSIS: + % x = ADI(value, jacobian) + % + % PARAMETERS: + % value - The numerical value of the object + % + % jacobian - The Jacobian of the object. + % + % RETURNS: + % ADI object. + % + % COMMENTS: + % This class is typically instansiated for a set of different variables + % using initVariablesADI. The file contains a worked example demonstrating + % the usage for several variables. + % + % SEE ALSO: + % initVariablesADI + + %{ +Copyright 2009-2014 SINTEF ICT, Applied Mathematics. + +This file is part of The MATLAB Reservoir Simulation Toolbox (MRST). + +MRST is free software: you can redistribute it and/or modify +it under the terms of the GNU General Public License as published by +the Free Software Foundation, either version 3 of the License, or +(at your option) any later version. + +MRST is distributed in the hope that it will be useful, +but WITHOUT ANY WARRANTY; without even the implied warranty of +MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the +GNU General Public License for more details. + +You should have received a copy of the GNU General Public License +along with MRST. If not, see . + %} + + + properties + val %function value + jac %list of sparse jacobian matrices + end + + methods + function obj = ADI(a,b) + %ADI class constructor + if nargin == 0 % empty constructor + obj.val = []; + obj.jac = {}; + elseif nargin == 1 % + if isa(a, 'ADI') + obj = a; + else + error('Contructor requires 2 inputs') + end + elseif nargin == 2 % values + jacobians + obj.val = a; % value + if ~iscell(b) + b = {b}; + end + obj.jac = b; % jacobian or list of jacobians + else + error('Input to constructor not valid') + end + end + + %-------------------------------------------------------------------- + function h = numval(u) + h = numel(u.val); + end + + %-------------------------------------------------------------------- + function h = double(u) + h = u.val; + end + + %-------------------------------------------------------------------- + + function h = ge(u, v) + h = ge(double(u), double(v)); + end + + %-------------------------------------------------------------------- + + function h = gt(u, v) + h = gt(double(u), double(v)); + end + + %-------------------------------------------------------------------- + + function h = le(u, v) + h = le(double(u), double(v)); + end + + %-------------------------------------------------------------------- + + function h = lt(u, v) + h = lt(double(u), double(v)); + end + %-------------------------------------------------------------------- + + function h = uplus(u) + h = u; + end + + %-------------------------------------------------------------------- + + function h = uminus(u) + h = ADI(-u.val, uminusJac(u.jac)); + end + + %-------------------------------------------------------------------- + + % function h = plus(u,v) + % if ~isa(u,'ADI') %u is a vector/scalar + % h = ADI(u+v.val, v.jac); + % elseif ~isa(v,'ADI') %v is a vector/scalar + % h = ADI(u.val + v, u.jac); + % else + % h = ADI(u.val+v.val, plusJac(u.jac, v.jac) ); + % end + % end + + function h = plus(u,v) + if ~isa(u,'ADI') %u is a vector/scalar + if numel(u) <= numel(v.val) + h = ADI(u+v.val, v.jac); + elseif numel(v.val) == 1 + h = plus(u, repmat(v,[numel(u), 1])); + else + error('Vectors have different lengths') + end + elseif ~isa(v,'ADI') %v is a vector/scalar + if numel(v) <= numel(u.val) + h = ADI(u.val + v, u.jac); + elseif numel(u.val) == 1 + h = plus(repmat(u,[numel(v), 1]), v); + else + error('Vectors have different lengths') + end + else + if numel(u.val) == numel(v.val) + h = ADI(u.val+v.val, plusJac(u.jac, v.jac) ); + elseif numel(u.val) == 1 + h = plus(repmat(u, [numel(v.val), 1]), v); + elseif numel(v.val) == 1 + h = plus(u, repmat(v, [numel(u.val), 1])); + else + error('Vectors have different lengths') + end + end + end + + + %-------------------------------------------------------------------- + + function h = minus(u,v) + h = plus(u, uminus(v)); + end + + %-------------------------------------------------------------------- + + function h = mtimes(u,v)% '*' + if ~isa(u,'ADI') %u is a scalar/matrix + h = ADI(u*v.val, mtimesJac(u, v.jac)); + elseif ~isa(v,'ADI') %v is a scalar + h = mtimes(v,u); + else % special case where either u or v has single value + if numel(u.val) == 1 + h = times(repmat(u, [numel(v.val), 1]), v); + elseif numel(v.val) == 1 + h = times(u, repmat(v, [numel(u.val), 1])); + else + error('Operation not supported'); + end + end + end + + %-------------------------------------------------------------------- + + function h = times(u,v)% '.*' + if ~isa(u,'ADI') %u is a scalar/vector + if numel(u)==numel(v.val) + h = ADI(u.*v.val, lMultDiag(u, v.jac)); + else + h = mtimes(u,v); + end + elseif ~isa(v,'ADI') %v is a scalar/vector + h = times(v,u); + else + if numel(u.val)==numel(v.val) + h = ADI(u.val.*v.val, timesJac(u.val, v.val, u.jac, v.jac)); + elseif numel(v.val)==1||numel(u.val)==1 + h = mtimes(u,v); + else + error('Operation not supported'); + end + end + end + + %-------------------------------------------------------------------- + + function h = mrdivide(u,v)% '/' + if ~isa(v,'ADI') %v is a scalar + h = mtimes(u, 1/v); + else + error('Operation not supported'); + end + end + + %-------------------------------------------------------------------- + + function h = subsref(u,s) + switch s(1).type + case '.' + h = builtin('subsref',u,s); + case '()' + assert(numel(s(1).subs) == 1, ... + 'Expected single index, got %d', numel(s(1).subs)) + subs = s(1).subs{1}; + if ischar(s) && strcmp(subs, ':'), + h = u; + else + if islogical(subs), subs = find(subs); end + h = ADI(u.val(subs), subsrefJac(u.jac, subs)); + end + if numel(s) > 1 + % Recursively handle next operation + h = subsref(h, s(2:end)); + end + case '{}' + error('Operation not supported'); + end + end + + %-------------------------------------------------------------------- + + function h = power(u,v)% '.^' + h = ADI(u.val.^v, lMultDiag(v.*u.val.^(v-1), u.jac)); + end + + %-------------------------------------------------------------------- + + function h = rdivide(u,v)% './' + h = times(u, power(v, -1)); + end + + %-------------------------------------------------------------------- + + function h = exp(u) + eu = exp(u.val); + h = ADI(eu, lMultDiag(eu, u.jac)); + end + + %-------------------------------------------------------------------- + + function h = log(u) + logu = log(u.val); + h = ADI(logu, lMultDiag(1./u.val, u.jac)); + end + + %-------------------------------------------------------------------- + + function h = interptable(X, Y, u) + y = interptable(X, Y, u.val); + dydx = dinterptable(X, Y, u.val); + h = ADI(y,lMultDiag(dydx, u.jac)); + end + + %-------------------------------------------------------------------- + end +end + +%************************************************************************** +%-------- Helper functions involving Jacobians --------------------------- +%************************************************************************** +function J = uminusJac(J1) +J = cellfun(@uminus, J1, 'UniformOutput', false); +end + +function J = plusJac(J1, J2) +J = cellfun(@plus, J1, J2, 'UniformOutput', false); +end + +function J = mtimesJac(M, J1) +J = cell(1, numel(J1)); +for k = 1:numel(J) + J{k} = M*J1{k}; +end +end + +function J = lMultDiag(d, J1) +n = numel(d); +D = sparse((1:n)', (1:n)', d, n, n); +J = cell(1, numel(J1)); +for k = 1:numel(J) + J{k} = D*J1{k}; +end +end + +function J = timesJac(v1, v2, J1, J2) +n = numel(v1); +D1 = sparse((1:n)', (1:n)', v1, n, n); +D2 = sparse((1:n)', (1:n)', v2, n, n); +J = cell(1, numel(J1)); +for k = 1:numel(J) + J{k} = D1*J2{k} + D2*J1{k}; +end +end + +function J = subsrefJac(J1, subs) +J = cell(1, numel(J1)); +for k = 1:numel(J) + J{k} = J1{k}(subs,:); +end +end + +%-------------------------------------------------------------------------- +%-------------------------------------------------------------------------- +%-------------------------------------------------------------------------- diff --git a/core functions/preprocess/Ulit/ADtimestep.m b/core functions/preprocess/Ulit/ADtimestep.m new file mode 100644 index 0000000..de5c501 --- /dev/null +++ b/core functions/preprocess/Ulit/ADtimestep.m @@ -0,0 +1,6 @@ +function tm = ADtimestep(yitap, yitas, omega, dp, ds) +dp = abs(dp); +ds = abs(ds); +tm1 = (1 + omega) * yitap ./ (dp + omega * yitap); +tm2 = (1 + omega) * yitas ./ (ds + omega * yitas); +tm = min(min(tm1),min(tm2)); \ No newline at end of file diff --git a/core functions/preprocess/Ulit/OperatorRS.m b/core functions/preprocess/Ulit/OperatorRS.m new file mode 100644 index 0000000..d969174 --- /dev/null +++ b/core functions/preprocess/Ulit/OperatorRS.m @@ -0,0 +1,24 @@ +function os = OperatorRS(N, nex, nc) +% +%nex֮彻 +%nc +%N ÿһжӦ彻ĻʵԪ֮䡢ѷ쵥Ԫ֮ +% Avg of face property +M = sparse((1 : nex)' * [1 1], N, 0.5 * ones(nex, 2), nex, nc); +os.faceAvg = @(x) M * x; +% Harm of face property +M = sparse((1 : nex)' * [1 1], N, ones(nex, 2), nex, nc); +os.faceHarm = @(x) 1./ (M * (1 ./ x)); +% Div and grad +C = sparse((1 : nex)' * [1 1], N, ones(nex, 1) * [-1 1], nex, nc); +os.grad = @(x) C * x; +os.div = @(x) -C' * x; +% Upstream weighting +os.faceUpstr = @(flag, x) faceUpstr(flag, x, N, [nex, nc]); + +function xu = faceUpstr(flag, x, N, sz) +flag = logical(flag); +upcell = N(:, 2); +upcell(flag) = N(flag, 1); +xu = sparse((1 : sz(1))', upcell, 1, sz(1), sz(2)) * x; + diff --git a/core functions/preprocess/Ulit/dinterptable.m b/core functions/preprocess/Ulit/dinterptable.m new file mode 100644 index 0000000..9179021 --- /dev/null +++ b/core functions/preprocess/Ulit/dinterptable.m @@ -0,0 +1,13 @@ +function h = dinterptable(X, Y, u) +% n = length(X); +% DYDX = diff(Y) ./ diff(X); +% DYDX = DYDX([1, 1:end, end]); +% [~, b] = histc(u, [-inf;X;inf]); +% b = b - 1; +% b(b == 0) = 1; +% b(b == n) = n - 1; +% h = DYDX(b); +DYDX = diff(Y) ./ diff(X); +DYDX = DYDX([1, 1:end, end]); +[~, b] = histc(u, [-inf;X;inf]); +h = reshape(DYDX(b), [], 1); diff --git a/core functions/preprocess/Ulit/fluidPVT.m b/core functions/preprocess/Ulit/fluidPVT.m new file mode 100644 index 0000000..bb486da --- /dev/null +++ b/core functions/preprocess/Ulit/fluidPVT.m @@ -0,0 +1,17 @@ +function f = fluidPVT(Bopb, pb, co, Bwi, prw, cw, vwi, cvw, visopb, cvo, SW, KRO, KRW, PCOW, ifpcow, SWF, KROF, KRWF, PCOWF, rpt,Dosi, Dwsi, cs_data, csa_data, cb_data, cba_data) +f.Bw = @(p) Bw(p, Bwi, prw, cw); +f.Bo = @(p) Bo(p, Bopb, pb, co); +f.muw = @(p) muw(p, vwi, prw, cvw); +f.muo = @(p) muo(p, visopb, pb, cvo); +f.kro = @(sw) kro(sw, SW, KRO, SWF, KROF, rpt); +f.krw = @(sw) krw(sw, SW, KRW, SWF, KRWF, rpt); +f.pcow = @(sw) pcow(sw, SW, PCOW, SWF, PCOWF, rpt); +f.krow = @(sw) kro(sw, SWF, KROF); +f.krww = @(sw) krw(sw, SWF, KRWF); +f.pcoww = @(sw) pcow(sw, SWF, PCOWF); +f.cs_absorb = @(sw) cs_absorb_f(cs, cs_data, csa_data); +f.cb_absorb = @(sw) cb_absorb_f(cb, cb_data, cba_data); +f.ifpcow = ifpcow; +f.Dosi = Dosi; +f.Dwsi = Dwsi; + diff --git a/core functions/preprocess/Ulit/initialRS.m b/core functions/preprocess/Ulit/initialRS.m new file mode 100644 index 0000000..4a52916 --- /dev/null +++ b/core functions/preprocess/Ulit/initialRS.m @@ -0,0 +1,5 @@ +function state = initialRS(P, Sw, Cs, Cb) +state.p = P; +state.sw = Sw; +state.cs = Cs; +state.cb = Cb; diff --git a/core functions/preprocess/Ulit/intADI.m b/core functions/preprocess/Ulit/intADI.m new file mode 100644 index 0000000..1582d8f --- /dev/null +++ b/core functions/preprocess/Ulit/intADI.m @@ -0,0 +1,31 @@ +function [P, Sw, Cs, Cb] = intADI(p, sw, cs, cb) +n = length(p); +Jp = cell(1,4); +Jsw = cell(1,4); +Jcs = cell(1,4); +Jcb = cell(1,4); + +Jp{1} = sparse(1:n, 1:n, ones(n,1), n, n); +Jp{2} = sparse(n,n); +Jp{3} = sparse(n,n); +Jp{4} = sparse(n,n); + +Jsw{1} = sparse(n,n); +Jsw{2} = sparse(1:n, 1:n, ones(n,1), n, n); +Jsw{3} = sparse(n,n); +Jsw{4} = sparse(n,n); + +Jcs{1} = sparse(n,n); +Jcs{2} = sparse(n,n); +Jcs{3} = sparse(1:n, 1:n, ones(n,1), n, n); +Jcs{4} = sparse(n,n); + +Jcb{1} = sparse(n,n); +Jcb{2} = sparse(n,n); +Jcb{3} = sparse(n,n); +Jcb{4} = sparse(1:n, 1:n, ones(n,1), n, n); + +P = ADI(p, Jp); +Sw = ADI(sw, Jsw); +Cs = ADI(cs, Jcs); +Cb = ADI(cb, Jcb); \ No newline at end of file diff --git a/core functions/preprocess/Ulit/intADI2.m b/core functions/preprocess/Ulit/intADI2.m new file mode 100644 index 0000000..da11a07 --- /dev/null +++ b/core functions/preprocess/Ulit/intADI2.m @@ -0,0 +1,44 @@ +function [P, Sw, Cs, Cb, Pwf] = intADI2(p, sw, cs, cb, pwf) +n = length(p); +npwf = length(pwf); +Jp = cell(1,5); +Jsw = cell(1,5); +Jcs = cell(1,5); +Jcb = cell(1,5); +Jpwf = cell(1,5); + +Jp{1} = sparse(1:n, 1:n, ones(n,1), n, n); +Jp{2} = sparse(n,n); +Jp{3} = sparse(n,n); +Jp{4} = sparse(n,n); +Jp{5} = sparse(n,npwf); + +Jsw{1} = sparse(n,n); +Jsw{2} = sparse(1:n, 1:n, ones(n,1), n, n); +Jsw{3} = sparse(n,n); +Jsw{4} = sparse(n,n); +Jsw{5} = sparse(n,npwf); + +Jcs{1} = sparse(n,n); +Jcs{2} = sparse(n,n); +Jcs{3} = sparse(1:n, 1:n, ones(n,1), n, n); +Jcs{4} = sparse(n,n); +Jcs{5} = sparse(n,npwf); + +Jcb{1} = sparse(n,n); +Jcb{2} = sparse(n,n); +Jcb{3} = sparse(n,n); +Jcb{4} = sparse(1:n, 1:n, ones(n,1), n, n); +Jcb{5} = sparse(n,npwf); + +Jpwf{1} = sparse(npwf,n); +Jpwf{2} = sparse(npwf,n); +Jpwf{3} = sparse(npwf,n); +Jpwf{4} = sparse(npwf,n); +Jpwf{5} = sparse(1:npwf, 1:npwf, ones(npwf,1), npwf, npwf); + +P = ADI(p, Jp); +Sw = ADI(sw, Jsw); +Cs = ADI(cs, Jcs); +Cb = ADI(cb, Jcb); +Pwf = ADI(pwf, Jpwf); \ No newline at end of file diff --git a/core functions/preprocess/Ulit/intADIz.m b/core functions/preprocess/Ulit/intADIz.m new file mode 100644 index 0000000..cbbd1d9 --- /dev/null +++ b/core functions/preprocess/Ulit/intADIz.m @@ -0,0 +1,6 @@ +function [z] = intADIz(z) +n = length(z); +Jz = cell(1,2); +Jz{1} = sparse( n, n);%ѹ +Jz{2} = sparse(n,n);%ԱͶ +z = ADI(z, Jz); diff --git a/core functions/preprocess/Ulit/interptable.m b/core functions/preprocess/Ulit/interptable.m new file mode 100644 index 0000000..9b620f3 --- /dev/null +++ b/core functions/preprocess/Ulit/interptable.m @@ -0,0 +1,2 @@ +function h = interptable(X, Y, u) +h = interp1(X, Y, u, 'linear', 'extrap'); \ No newline at end of file diff --git a/core functions/preprocess/about_Well/WellEquation.m b/core functions/preprocess/about_Well/WellEquation.m new file mode 100644 index 0000000..26bbafd --- /dev/null +++ b/core functions/preprocess/about_Well/WellEquation.m @@ -0,0 +1,149 @@ +function [Awell, qwell] = WellEquation(r, f, p, sw, cs, cb, Wellc, Weladd, pwf, WelChg, well_schedules_k) +nWel = size(Wellc, 1);% +% Wellcpara: welltype(1) nperf(2) index(3) Tr(j)ans(4) protype(5) value(6) consTr(j)ain(7) Wellc(nWel, 6) +% welltype = 1 prod, welltype = 2 inj +% protype = 1 const flowrate, protype = 2 const pwf +nmatr = 4 * r.nc + Weladd;%϶Ϊδ֪ѹͶȺ;ѹ +nzw = 10 * nWel; +% Awell = spalloc(nmatr,nmatr,nzw); +Awell = spalloc(nmatr,nmatr,nzw); +qwell = spalloc(nmatr,1,nzw); +% Dimensionless_wellflow=[]; +if Weladd == 0 %%Ϊ0 + [p, sw, cs, cb] = intADI(p, sw, cs, cb); +else + [p, sw, cs, cb, pwf] = intADI2(p, sw, cs, cb, pwf); +end +BW = f.Bw(p); +muW = f.muw(p); +Nc = f.Nc(cs); +krW = f.krw(sw, Nc); +BG = f.Bg(p); +muG = f.mug(p); +krG = f.krrg(sw, Nc); +Ygt = krG ./ (muG .* BG); +Ywt = krW ./ (muW .* BW); +Ygj = krG ./ muG; +Ywj = krW ./ muW; +pcOW = 0; +if f.ifpcgl%Ϊ0ëΪ0 + pcOW = f.pcgl(sw); +end +pw = p - pcOW; +ipwf = 0; +for i = 1 : nWel + if strcmp(well_schedules_k{i,2},'open') + jperfall = Wellc{i,3};%þ׵Ԫ + if strcmp(well_schedules_k{i,3},'pro') % prod + if strcmp(well_schedules_k{i,4},'const_q') % const flowrate + ipwf = ipwf + 1; + Tr = Wellc{i,4}; + for j = 1 : Wellc{i,2} + jperf = jperfall(j); + Yo = Ygt(jperf); + Yw = Ywt(jperf); + qo = -Tr(j) .* Yo .*(p(jperf) - pwf(ipwf)); + qw = -Tr(j) .* Yw .*(pw(jperf) - pwf(ipwf)); + qcs = -Tr(j) .* cs(jperf).*Yw .*(pw(jperf) - pwf(ipwf)); + qcb = -Tr(j) .* cb(jperf).*Yw .*(pw(jperf) - pwf(ipwf)); + %ǰncˮ෽ + Awell(jperf, :) = [qw.jac{1} qw.jac{2} qw.jac{3} qw.jac{4} qw.jac{5}]; + qwell(jperf) = qw.val; + %ncˮ෽ + Awell(r.nc + jperf, :) = [qo.jac{1} qo.jac{2} qo.jac{3} qo.jac{4} qo.jac{5}]; + qwell(r.nc + jperf) = qo.val; + % + Awell(2*r.nc + jperf, :) = [qcs.jac{1} qcs.jac{2} qcs.jac{3} qcs.jac{4} qcs.jac{5}]; + qwell(2*r.nc + jperf) = qcs.val; + % + Awell(3*r.nc + jperf, :) = [qcb.jac{1} qcb.jac{2} qcb.jac{3} qcb.jac{4} qcb.jac{5}]; + qwell(3*r.nc + jperf) = qcb.val; + %Ѹþ׵IJ͡ˮۼ + % ڶ£Ϊʹܹڸһϴ󣬵¸÷MRߣҪλ + Awell(4*r.nc + ipwf, :) = Awell(4*r.nc + ipwf, :) + ... + [qw.jac{1} qw.jac{2} qw.jac{3} qw.jac{4} qw.jac{5}] + [qo.jac{1} qo.jac{2} qo.jac{3} qo.jac{4} qo.jac{5}]; + qwell(4*r.nc + ipwf) = qwell(4*r.nc + ipwf) + qw.val + qo.val; + end + qwell(4*r.nc + ipwf) = (qwell(4*r.nc + ipwf) + well_schedules_k{i,5}/86.4); + else % const pwf ѹ + if ~WelChg(i) + pwfc = well_schedules_k{i,5}; + else + pwfc = well_schedules_k{i,6}; + end + Tr = Wellc{i,4}; + for j = 1 : Wellc{i,2} + jperf = jperfall(j); + Yo = Ygt(jperf); + Yw = Ywt(jperf); + qo = -Tr(j) .* Yo .*(p(jperf) - pwfc); + qw = -Tr(j) .* Yw .*(pw(jperf) - pwfc); + qcs = -Tr(j) .* cs(jperf).*Yw .*(pw(jperf) - pwfc); + qcb = -Tr(j) .* cb(jperf).*Yw .*(pw(jperf) - pwfc); + % ˮ + Awell(jperf, 1 : 4 * r.nc) = [qw.jac{1} qw.jac{2} qw.jac{3} qw.jac{4}]; + qwell(jperf) = qw.val; + % + Awell(r.nc + jperf, 1 : 4 * r.nc) = [qo.jac{1} qo.jac{2} qo.jac{3} qo.jac{4}]; + qwell(r.nc + jperf) = qo.val; + % + Awell(2*r.nc + jperf, 1 : 4 * r.nc) = [qcs.jac{1} qcs.jac{2} qcs.jac{3} qcs.jac{4}]; + qwell(2*r.nc + jperf) = qcs.val; + % + Awell(3*r.nc + jperf, 1 : 4 * r.nc) = [qcb.jac{1} qcb.jac{2} qcb.jac{3} qcb.jac{4}]; + qwell(3*r.nc + jperf) = qcb.val; + end + end + else %ע뾮 + if strcmp(well_schedules_k{i,4},'const_q') % const flowrate + ipwf = ipwf + 1; + Tr = Wellc{i,4}; + for j = 1 : Wellc{i,2} + jperf = jperfall(j); + Yo = Ygj(jperf); + Yw = Ywj(jperf); + qw = -Tr(j) ./ BW(jperf) .* (Yo + Yw) .* (pw(jperf) - pwf(ipwf)); + qcs = qw*well_schedules_k{i,8}; + qcb = qw*well_schedules_k{i,10}; + % ˮ + Awell(jperf, :) = [qw.jac{1} qw.jac{2} qw.jac{3} qw.jac{4} qw.jac{5}]; + qwell(jperf) = qw.val; + % + Awell(2*r.nc + jperf, :) = [qcs.jac{1} qcs.jac{2} qcs.jac{3} qcs.jac{4} qcs.jac{5}]; + qwell(2*r.nc + jperf) = qcs.val; + % + Awell(3*r.nc + jperf, :) = [qcb.jac{1} qcb.jac{2} qcb.jac{3} qcb.jac{4} qcb.jac{5}]; + qwell(3*r.nc + jperf) = qcb.val; + % + Awell(4*r.nc + ipwf, :) = Awell(4*r.nc + ipwf, :) + ... + [qw.jac{1} qw.jac{2} qw.jac{3} qw.jac{4} qw.jac{5}]; + qwell(4*r.nc + ipwf) = qwell(4*r.nc + ipwf) + qw.val; + end + qwell(4*r.nc + ipwf) = qwell(4*r.nc + ipwf) - well_schedules_k{i,5}/86.4; + else %ѹע + if ~WelChg(i) + pwfc = well_schedules_k{i,5}; + else + pwfc = well_schedules_k{i,6}; + end + Tr = Wellc{i,4}; + for j = 1 : Wellc{i,2} + jperf = jperfall(j); + Yo = Ygj(jperf); + Yw = Ywj(jperf); + qw =- Tr(j) ./ BW(jperf) .* (Yo + Yw) .* (pw(jperf) - pwfc); + qcs = qw*well_schedules_k{i,8}; + qcb = qw*well_schedules_k{i,10}; + Awell(jperf, 1 : 4*r.nc) = [qw.jac{1} qw.jac{2} qw.jac{3} qw.jac{4}]; + qwell(jperf) = qw.val; + % + Awell(2*r.nc + jperf, 1 : 4*r.nc) = [qcs.jac{1} qcs.jac{2} qcs.jac{3} qcs.jac{4}]; + qwell(2*r.nc + jperf) = qcs.val; + % + Awell(3*r.nc + jperf, 1 : 4*r.nc) = [qcb.jac{1} qcb.jac{2} qcb.jac{3} qcb.jac{4}]; + qwell(3*r.nc + jperf) = qcb.val; + end + end + end + end +end diff --git a/core functions/preprocess/about_Well/calcTrans.m b/core functions/preprocess/about_Well/calcTrans.m new file mode 100644 index 0000000..a2471fb --- /dev/null +++ b/core functions/preprocess/about_Well/calcTrans.m @@ -0,0 +1,58 @@ +function Wellc0 = calcTrans(r, Wellc0) +% Wellcpara: welltype(1) nperf(2) index(3) rw/WI(4) protype(5) value(6) +% constraints(7) skin(8) Wellc(nWel, 6) +% welltype = 1 prod, welltype = 2 inj water, welltype = 3 inj gas +% protype = 1 const flowrate, protype = 2 const pwf +% ˴̼׶ijߴ +nwel = size(Wellc0, 1);% +for i = 1 : nwel + perf = Wellc0{i, 3};%׵ + rw = Wellc0{i, 4};%뾶 + skin = Wellc0{i, 5};%Ƥ + nperf = length(perf);%׵ + WI = zeros(nperf,1);%ÿ׵Ӧָ + for j = 1 : nperf + ind = perf(j); + if ind <= r.nmc % ׵ڻ + kmx = r.kx(ind); + kmy = r.ky(ind); + kmz = r.kz(ind); + dx = r.dxv(ind); + dy = r.dyv(ind); + dz = r.dzv(ind); + if Wellc0{i,6}==1%˵ֱ +% h = r.h; + ro = 0.28* (((kmy/kmx)^0.5*dx^2 + (kmx/kmy)^0.5*dy^2))^0.5... + / ((kmy/kmx)^0.25 + (kmx/kmy)^0.25);%ֱpeacemanʽеĵЧ뾶 + ka = (kmx*kmy*kmz)^(1/3);%ûЧ͸ + %cf=1,Ϊ俪ȵı + WI(j) = r.cf * 2 * 3.1415 * ka * dz / (log(ro / rw) + skin);%ָ + elseif Wellc0{i,6}==2%˵xˮƽ + ro = 0.28* (((kmz/kmy)^0.5*dy^2 + (kmy/kmz)^0.5*dz^2))^0.5... + / ((kmz/kmy)^0.25 + (kmy/kmz)^0.25);%ֱpeacemanʽеĵЧ뾶 + ka = (kmx*kmy*kmz)^(1/3);%ûЧ͸ + %cf=1,Ϊ俪ȵı + WI(j) = r.cf * 2 * 3.1415 * ka * dx / (log(ro / rw) + skin);%ָ + elseif Wellc0{i,6}==3%˵yˮƽ + ro = 0.28* (((kmz/kmx)^0.5*dx^2 + (kmx/kmz)^0.5*dz^2))^0.5... + / ((kmz/kmx)^0.25 + (kmx/kmz)^0.25); + ka = (kmx*kmy*kmz)^(1/3); + %cf=1,Ϊ俪ȵı + WI(j) = r.cf * 2 * 3.1415 * ka * dy / (log(ro / rw) + skin);%ָ + end + else % ˵Ƕѹˮƽ, ׵ѷ쵥Ԫ + I = ind - r.nmc;%׶Ϊѷ쵥ԪǶѹˮƽ + kf = r.kf(I); + wf = r.wf(I); + area=r.fcff{1,8}(I); +% lf = r.lf(I); +% h = r.h; +% h=1;lf=2; + %˴޸Ϊѷ쵥Ԫη0.14 + ro = 0.14 * (2*area)^0.5; +% ro = 0.14 * (10^2+10^2)^0.5; + WI(j) = r.cf * 2 * 3.1415 * kf * wf / (log(ro / rw) + skin); + end + end + Wellc0{i, 4} = WI;%뾶滻Ϊָ +end diff --git a/core functions/preprocess/about_Well/calcWellequation.m b/core functions/preprocess/about_Well/calcWellequation.m new file mode 100644 index 0000000..ca8c648 --- /dev/null +++ b/core functions/preprocess/about_Well/calcWellequation.m @@ -0,0 +1,100 @@ +function [Wellpara, WelChg, Weladd] = calcWellequation(Weladd, Wellc, WelChg, well_schedules_k, nc, qwell, state) +%WeladdʾWellcʾ +% Wellcpara: welltype(1) nperf(2) index(3) Tr(j)ans(4) protype(5) value(6) consTr(j)ain(7) Wellc(nWel, 6) +% welltype = 1 prod, welltype = 2 inj +% protype = 1 const flowrate, protype = 2 const pwf +nWel = size(Wellc, 1);% +Wellpara = cell(1, nWel); +if Weladd > 0 %ڶ + pwf = state.pwf; +end +ipwf = 0; +for i = 1 : nWel + if strcmp(well_schedules_k{i,2},'open') + qot = 0; + qwt = 0; + jperfall = Wellc{i,3}; + if strcmp(well_schedules_k{i,3},'pro') % prod + if strcmp(well_schedules_k{i,4},'const_q') % const flowrate + ipwf = ipwf + 1; + for j = 1 : Wellc{i,2} + jperf = jperfall(j); + %Ͳ޵ڸ׵֮ + qwt = qwt + qwell(jperf); + qot = qot + qwell(nc + jperf); + end + if well_schedules_k{i,5} ~= 0 + Wellpara{1,i}.wellname = Wellc{i,1}; + Wellpara{1,i}.qw = abs(qwt)*86.4; + Wellpara{1,i}.qo = abs(qot)*86.4; + Wellpara{1,i}.pwf = pwf(ipwf); + else + Wellpara{1,i}.wellname = Wellc{i,1}; + Wellpara{1,i}.qw = 0; + Wellpara{1,i}.qo = 0; + Wellpara{1,i}.pwf = pwf(ipwf); + end + % if pwf(ipwf)<= Wellc{i,7} %ѹƣܴ + % WelChg(i) = 1; + % Weladd = Weladd - 1; + % else + % WelChg(i) = 0; + % end + else % const pwf + if ~WelChg(i) + Wellpara{1,i}.pwf = well_schedules_k{i,5}; + else + Wellpara{1,i}.pwf = well_schedules_k{i,6}; + end + for j = 1 : Wellc{i,2} + jperf = jperfall(j); + qwt = qwt + qwell(jperf); + qot = qot + qwell(nc + jperf); + end + Wellpara{1,i}.wellname = Wellc{i,1}; + Wellpara{1,i}.qw = abs(qwt)*86.4; + Wellpara{1,i}.qo = abs(qot)*86.4; + end + else %ע뾮 + if strcmp(well_schedules_k{i,4},'const_q') % const flowrate + ipwf = ipwf + 1; + for j = 1 : Wellc{i,2} + jperf = jperfall(j); + qwt = qwt + qwell(jperf); + qot = qot + qwell(nc + jperf); + end + if well_schedules_k{i,5} ~= 0 + Wellpara{1,i}.wellname = Wellc{i,1}; + Wellpara{1,i}.qw = abs(qwt)*86.4; + Wellpara{1,i}.qo = abs(qot)*86.4; + Wellpara{1,i}.pwf = pwf(ipwf); + else + Wellpara{1,i}.wellname = Wellc{i,1}; + Wellpara{1,i}.qw = 0; + Wellpara{1,i}.qo = 0; + Wellpara{1,i}.pwf = pwf(ipwf); + end + % if pwf(ipwf) >= Wellc{i,7} %ѹ򾮵ܸ + % WelChg(i) = 1; + % Weladd = Weladd - 1; + % else + % WelChg(i) = 0; + % end + else + if ~WelChg(i) + Wellpara{1,i}.pwf = well_schedules_k{i,5}; + else + Wellpara{1,i}.pwf = well_schedules_k{i,6}; + end + for j = 1 : Wellc{i,2} + jperf = jperfall(j); + qwt = qwt + qwell(jperf); + qot = qot + qwell(nc + jperf); + end + Wellpara{1,i}.wellname = Wellc{i,1}; + Wellpara{1,i}.qw = abs(qwt)*86.4; + Wellpara{1,i}.qo = abs(qot)*86.4; + end + end + end +end diff --git a/core functions/preprocess/about_Well/findWelloc.m b/core functions/preprocess/about_Well/findWelloc.m new file mode 100644 index 0000000..bbaf7c8 --- /dev/null +++ b/core functions/preprocess/about_Well/findWelloc.m @@ -0,0 +1,32 @@ +function perfnum = findWelloc(r, welloc) +% Linep = r.Linep; +% Fracp = r.Fracp; +corevsfra=r.fcff{1,4};%ѷ쵥Ԫ +% corevsfra = r.cell_mid_coordinates; +nfc = size(corevsfra,1); +% x = zeros(nfc, 1); +% y = zeros(nfc, 1); +% z = zeros(nfc, 1); +% for i = 1 : nf +% x = Linep(Fracp(i,:), 1); +% y = Linep(Fracp(i,:), 2); +% %ȳ˹ѷ +% xp(i) = mean(x); +% yp(i) = mean(y); +% end + x = corevsfra(:, 1); + y = corevsfra(:, 2); + z = corevsfra(:, 3); + % z = 5; + +Nperf = size(welloc, 1); +perfnum = zeros(1, Nperf); +for i = 1 : Nperf + xw = welloc(i, 1); + yw = welloc(i, 2); + zw = welloc(i,3); + rp = (xw - x).^2 + (yw - y).^2+(zw-z).^2; + [~,I] = min(rp); + perfnum(i) = I + r.nmc; + % perfnum(i) = I; +end \ No newline at end of file diff --git a/core functions/preprocess/about_Well/initalSchedule.m b/core functions/preprocess/about_Well/initalSchedule.m new file mode 100644 index 0000000..2af2409 --- /dev/null +++ b/core functions/preprocess/about_Well/initalSchedule.m @@ -0,0 +1,51 @@ +function [Weladd, pwf] = initalSchedule(p, sw, Wellc, f) +nWel = size(Wellc, 1);% +Weladd = 0; +pwf = zeros(1); +BW = f.Bw(p); +muW = f.muw(p); +krW = f.krw(sw); +BG = f.Bg(p); +muG = f.mug(p); +krG = f.krrg(sw); +Ygt = krG ./ (muG .* BG);%mu +Ygj = krG ./ muG; +Ywt = krW ./ (muW .* BW);%mu +Ywj = krW ./ muW; + +for i = 1 : nWel + if Wellc{i,1} == 1 && Wellc{i,5} == 1%þ + Weladd = Weladd + 1; + nper = Wellc{i,2}; %þ + jperf = zeros(nper,1); + Trans = zeros(nper,1); + Tnp = 0; + Tn = 0; + for j = 1 : nper + jperf(j) = Wellc{i,3}(j);%׵ڻѷ쵥Ԫȫе + Tr = Wellc{i,4}(j);%׵Ӧָȱȣ + Trans(j) = Tr * Ygt(jperf(j));%ָ + Tnp = Tnp + Trans(j)*p(jperf(j)); + Tn = Tn + Trans(j); + end + pwf(Weladd) = (Tnp - Wellc{i,6}/86.4) / Tn;%˵Ͳ޵ѹΪһֵ + elseif Wellc{i,1} == 2 && Wellc{i,5} == 1%ע뾮㶨ע + Weladd = Weladd + 1; + nper = Wellc{i,2}; + jperf = zeros(nper,1); + Trans = zeros(nper,1); + Tnp = 0; + Tn = 0; + for j = 1 : nper + jperf(j) = Wellc{i,3}(j); + Tr = Wellc{i,4}(j); + Trans(j) = Tr / BW(jperf(j)) * (Ygj(jperf(j)) + Ywj(jperf(j)));%ע뷽 + Tnp = Tnp + Trans(j)*p(jperf(j)); + Tn = Tn + Trans(j); + end + pwf(Weladd) = (Tnp + Wellc{i,6}/86.4) / Tn;%÷ + else + continue + end +end +pwf = pwf'; \ No newline at end of file diff --git a/core functions/preprocess/about_Well/wellperf.m b/core functions/preprocess/about_Well/wellperf.m new file mode 100644 index 0000000..f3ba1ab --- /dev/null +++ b/core functions/preprocess/about_Well/wellperf.m @@ -0,0 +1,8 @@ +function welloc = wellperf(well, fracp) +n = size(fracp,1)/2; +welloc = zeros(n, 2); +for i = 1 : n + [xi,yi] = polyxpoly([fracp(2*i-1,1) fracp(2*i,1)],[fracp(2*i-1,2) fracp(2*i,2)],[well(1,1) well(2,1)],[well(1,2) well(2,2)]); + welloc(i,1) = xi; + welloc(i,2) = yi; +end \ No newline at end of file diff --git a/core functions/preprocess/about_equation/eqsOW_MB.m b/core functions/preprocess/about_equation/eqsOW_MB.m new file mode 100644 index 0000000..dbbfd9e --- /dev/null +++ b/core functions/preprocess/about_equation/eqsOW_MB.m @@ -0,0 +1,96 @@ +function [eqs, qomf, qofm, qwmf, qwfm, Awell, qwell] = eqsOW_MB(state, state0, dt, r, f, os, Wellc, Weladd, pwf, WelChg) + +p = state.p; +sw = state.sw; +p0 = state0.p; +sw0 = state0.sw; +[p, sw] = intADI(p, sw); + +% zϵλ +% ڵȷ仯ʱܶҲᷢ仯˲ܼ򵥵ôѹ +%λzд +z=r.z; +z = intADIz(z); +% Dosiǵ²õܶȣDwsiǵ²õˮܶ + +% Water Props +BW = f.Bw(p); +muW = f.muw(p); +krW = f.krw(sw); +pcOW = 0; +if f.ifpcow + pcOW = f.pcow(sw); +end +pw = p - pcOW; +dpW = os.grad(pw); +dzw=1e-6*9.8*f.Dwsi*os.grad(z./BW); %ˮλݶ +upc = (double(dpW+dzw)<=0); +mobW = os.faceUpstr(upc, krW) .* os.faceAvg(1./(BW.*muW)); +bWvW = -r.T .* mobW .* dpW; + +% Oil Props +BO = f.Bo(p); +muO = f.muo(p); +krO = f.kro(sw); +dpO = os.grad(p); +dzo=1e-6*9.8*f.Dosi*os.grad(z./BO); %λݶ +upc = (double(dpO+dzo)<=0); +mobO = os.faceUpstr(upc, krO) .* os.faceAvg(1./(BO.*muO)); +bOvO = -r.T .* mobO .* dpO; + +% zϵλ +% ڵȷ仯ʱܶҲᷢ仯˲ܼ򵥵ôѹ +%λzд +z=r.z; +z = intADIz(z); +% Dosiǵ²õܶȣDwsiǵ²õˮܶ +dzo=1e-6*9.8*f.Dosi*os.grad(z./BO); %λݶ +dzw=1e-6*9.8*f.Dwsi*os.grad(z./BW); %ˮλݶ +% dzo=0.01*os.grad(z./BO); %λݶ +% dzw=0.01*os.grad(z./BW); %ˮλݶ +bOvO = -r.T .* mobO .* (dpO+dzo); +bWvW=-r.T .* mobW .* (dpW+dzw); + +% transfer function (OW) +[qomf, qofm, qwmf, qwfm] = transFunc(r, krO, krW, BO, muO, BW, muW, p, pw); +qomf=qomf*dt; +qofm=qofm*dt; +qwmf=qwmf*dt; +qwfm=qwfm*dt; +% well equation +[Awell, qwell] = WellEquation(r, f, p.val, sw.val, Wellc, Weladd, pwf, WelChg); +Awell=Awell*dt; +qwell=qwell*dt; +% Accumulation term +PV = r.V .* r.por(p); +PV0 = r.V .* r.por(p0); +Ar_w = 1/dt .* (PV .* (sw ./ BW) - PV0 .* (sw0 ./ f.Bw(p0))); +Ar_o = 1/dt .* (PV .* ((1 - sw) ./ BO) - PV0 .* ((1 - sw0) ./ f.Bo(p0))); + +% Water Equation +eqs{1} = (-os.div(bWvW) - Ar_w)*dt; +% eqs{1} = -os.div(bWvW) - Ar_w; +% Oil Equation +eqs{2} = (-os.div(bOvO) - Ar_o)*dt; +% eqs{2} = -os.div(bOvO) - Ar_o; + + +% Rw = Ar_w.val - qwell(1 : r.nc); +% Ro = Ar_o.val - qwell(r.nc+1 : 2*r.nc); +% PVv = PV.val; +% % PV_all = sum(PVv); +% Bwa = mean(BW.val); +% Boa = mean(BO.val); + +% MBw = abs(Bwa * dt * (sum(Rw)/PV_all)); +% MBo = abs(Boa * dt * (sum(Ro)/PV_all)); + + + + + + + + + + diff --git a/core functions/preprocess/about_equation/eqsOW_MB_2014.asv b/core functions/preprocess/about_equation/eqsOW_MB_2014.asv new file mode 100644 index 0000000..5c30f88 --- /dev/null +++ b/core functions/preprocess/about_equation/eqsOW_MB_2014.asv @@ -0,0 +1,189 @@ +function [eqs, Awell, qwell,PVv, Bga, Bwa] = eqsOW_MB_2014(state, state0, dt, r, f, os, Wellc, Weladd, pwf, WelChg, well_schedules_k) + +p = state.p; +sw = state.sw; +cs = state.cs; +cb = state.cb; +p0 = state0.p; +sw0 = state0.sw; +cs0 = state0.cs; +cb0 = state0.cb; +[p, sw, cs, cb] = intADI(p, sw, cs, cb); + +% z方向上的位势 +% 由于当深度发生变化时，流体的密度也会发生变化，因此不能简单得处理成折算压力的情况计算 +%对位势z进行处理 +z=r.z; +z = intADIz(z); +% Dosi是地面标况下测得的油相密度，Dwsi是地面标况下测得的水相密度 + +% % % % 应力敏感系数 +% % % exp_paramter_1 = -0.04; +% % % reference_pressure = 20; +% % % stress_factor = exp(exp_paramter_1*(p-reference_pressure)); +Nc0 = f.Nc(cs0); +Nc = f.Nc(cs); +% Water Props +BW = f.Bw(p); +muW = f.muw(p); +krW = f.krw(sw, Nc); +pcOW = 0; +if f.ifpcgl + pcOW = f.pcgl(sw); +end +pw = p - pcOW+f.chemistry_potential; +dpW = os.grad(pw); +% dzw=1e-6*9.8*f.Dwsi*os.grad(z./BW); %水相位势梯度 +dzw=0; +dpW = dpW+dzw; +upc = (double(dpW)<=0);%一定要是折算压力！ +mobW = os.faceUpstr(upc, krW) .* os.faceAvg(1./(BW.*muW)); +% mobW = os.faceUpstr(upc, krW) .* os.faceAvg(1./(BW.*muW)) .* os.faceAvg(stress_factor); +% 针对启动压力梯度的平滑处理 +if f.p_grad_threshold ~= 0 + pcOW0 = f.pcgl(sw0); + pw0 = p0 - pcOW0+f.chemistry_potential; + dpW0 = os.grad(pw0); + dzw0=0; + dpW0 = dpW0+dzw0; + pW_grad = r.T.*dpW0./r.flowArea; + ratio = smooth_relu_stable(pW_grad, f.p_grad_threshold); +else + ratio = 1; +end +bWvW = -r.T .* mobW .* (dpW).*ratio; + + +% 孔隙度 +pore = r.por(p); +% 表活剂 +mobW_s = os.faceUpstr(upc, krW.*cs) .* os.faceAvg(1./(BW.*muW)); +bWvW_s = -r.T .* mobW_s .* dpW; +dcs = os.grad(cs); +upc_s = (double(dcs)<=0); +mobW_s_diff = os.faceUpstr(upc_s, pore.*sw) .* os.faceAvg(1./(BW)); +diff_s = -r.T_diff .*mobW_s_diff .* dcs; + +% 盐 +mobW_b = os.faceUpstr(upc, krW.*cb) .* os.faceAvg(1./(BW.*muW)); +bWvW_b = -r.T .* mobW_b .* dpW; +dcb = os.grad(cb); +upc_b = (double(dcb)<=0); +mobW_b_diff = os.faceUpstr(upc_b, pore.*sw) .* os.faceAvg(1./(BW)); +diff_b = -r.T_diff.*mobW_b_diff.*dcb; + +% gas Props +BG = f.Bg(p); +muG = f.mug(p); +krG = f.krrg(sw, Nc); +dpG = os.grad(p); +% dzg=1e-6*9.8*f.Dgsi*os.grad(z./BG); %油相位势梯度 +dzg=0; +dpG = dpG+dzg; +upc = (double(dpG)<=0);%一定要是折算压力，否则出错！ +mgbG = os.faceUpstr(upc, krG) .* os.faceAvg(1./(BG.*muG)); +% mobO = os.faceUpstr(upc, krO) .* os.faceAvg(1./(BO.*muO)).* os.faceAvg(stress_factor); +% 针对启动压力梯度的平滑处理 +if f.p_grad_threshold ~= 0 + dp0 = os.grad(p0); + dzg0=0; + dp0 = dp0+dzg0; + pG_grad = r.T.*dpG./r.flowArea; + pG_grad_new = smooth_relu_stable(pG_grad, f.p_grad_threshold); + bGvG = -r.matrixflag.*f.gas_prop.Kn_modified_factor.* mgbG.* pG_grad_new.*r.flowArea ... + -(1-r.matrixflag).* mgbG.* pG_grad_new.*r.flowArea; % Knudsen 扩散影响 +else + bGvG = -r.matrixflag.*f.gas_prop.Kn_modified_factor.*r.T .* mgbG .* dpG ... + -(1-r.matrixflag).*r.T .* mgbG .* dpG; % Knudsen 扩散影响 +end + +% 非达西流发生仅发生在裂缝网格内 +% Forchheimer_factor = 1/(1+kf/mug*beta*density_g*v_gf) +BG0 = f.Bg(p0);muG0 = f.mug(p0);krG0 = f.krrg(sw0,Nc0);dpG0 = os.grad(p0); +dzg0=0; +upc0 = (double(dpG0+dzg0)<=0);%一定要是折算压力，否则出错！ +mgbG0 = os.faceUpstr(upc0, krG0) .* os.faceAvg(1./(BG0.*muG0)); +% mobO = os.faceUpstr(upc, krO) .* os.faceAvg(1./(BO.*muO)).* os.faceAvg(stress_factor); +v_gf = -(1-r.matrixflag).*r.T .* mgbG0 .* dpG0./r.flowArea; +density_g = f.Dgsi./BG0; +Forchheimer_factor = 1./(1+(1-r.matrixflag).*r.perm./os.faceAvg(muG0).*f.gas_prop.beta_non_Darcy_flow.*os.faceAvg(density_g).*abs(v_gf)); + +% 分别有基质系统的应力敏感系数 和 裂缝系统的应力敏感系数 +stress_factor = r.matrixflag.*exp(f.gas_prop.stress_factor_matrix*(os.faceAvg(p0)-f.gas_prop.stress_factor_ref_pressure))... + +(1-r.matrixflag).*exp(f.gas_prop.stress_factor_fracture*(os.faceAvg(p0)-f.gas_prop.stress_factor_ref_pressure)); + +% 采用简单的叠加处理 +bWvW = bWvW.*stress_factor.*Forchheimer_factor; +bGvG = bGvG.*stress_factor.*Forchheimer_factor; +% z方向上的位势 +% 由于当深度发生变化时，流体的密度也会发生变化，因此不能简单得处理成折算压力的情况计算 +%对位势z进行处理 +% z=r.z; +% z = intADIz(z); +% Dosi是地面标况下测得的油相密度，Dwsi是地面标况下测得的水相密度 +% dzo=0.01*os.grad(z./BO); %油相位势梯度 +% dzw=0.01*os.grad(z./BW); %水相位势梯度 +% bOvO = -r.T .* mobO .* (dpO+dzo); +% bWvW=-r.T .* mobW .* (dpW+dzw); + +% transfer function (OW) +% [qomf, qofm, qwmf, qwfm] = transFunc(r, krO, krW, BO, muO, BW, muW, p, pw); + +% well equation +[Awell, qwell] = WellEquation(r, f, p.val, sw.val, cs.val, cb.val, Wellc, Weladd, pwf, WelChg, well_schedules_k); +% Awell=dt*Awell; +% qwell=dt*qwell; + +% langmuir 等温吸附 +V_CH4=r.rpt.*r.V.*(1-r.por(p)).*r.rock_density.*f.gas_prop.VL.*p/f.gas_prop.PL./(1+p/f.gas_prop.PL); +V_CH4_0=r.rpt.*r.V.*(1-r.por(p)).*r.rock_density.*f.gas_prop.VL.*p0/f.gas_prop.PL./(1+p0/f.gas_prop.PL); + +% Accumulation term +PV = r.V .* r.por(p); +PV0 = r.V .* r.por(p0); +RV = r.V .* (1-r.por(p)); +RV0 = r.V .* (1-r.por(p0)); +Ar_w = 1/dt*(PV .* (sw ./ BW) - PV0 .* (sw0 ./ f.Bw(p0))); +Ar_g = 1/dt*(PV .* ((1 - sw) ./ BG) - PV0 .* ((1 - sw0) ./ f.Bg(p0)) + (V_CH4-V_CH4_0)); +Ar_w_s = 1/dt*(PV .* (sw.*cs./ BW) - PV0 .* (sw0.*cs./ f.Bw(p0))+... + r.rock_density*(RV.*f.cs_absorb(cs)-RV0.*f.cs_absorb(cs0))); +Ar_w_b = 1/dt*(PV .* (sw.*cb./ BW) - PV0 .* (sw0.*cb0./ f.Bw(p0))+... + r.rock_density*(RV.*f.cb_absorb(cb)-RV0.*f.cb_absorb(cb0))); +% Water Equation +eqs{1} = (-os.div(bWvW) - Ar_w); +% 使基质考虑重力，裂缝不考虑重力 +% eqs{1} = (-os.div(-r.T .* mobW .* dpW)-r.rpt.*os.div(-r.T .* mobW .* dzw) - Ar_w)*dt; +% eqs{1} = (-os.div(-r.T .* mobW .* dpW) - Ar_w)*dt; +% eqs{1} = -os.div(bWvW) - Ar_w; +% Oil Equation +eqs{2} = (-os.div(bGvG) - Ar_g); +% eqs{2} = (-os.div(-r.T .* mobO .* dpO)-r.rpt.*os.div(-r.T .* mobO .* dzo) - Ar_o)*dt; +% eqs{2} = (-os.div(-r.T .* mobO .* dpO) - Ar_o)*dt; +eqs{3} = (-os.div(bWvW_s+diff_s) - Ar_w_s); +eqs{4} = (-os.div(bWvW_b+diff_b) - Ar_w_b); +% +PVv = PV.val; +Bwa = BW.val; +Bga = BG.val; +% eqs{2} = -os.div(bOvO) - Ar_o; + + +% Rw = Ar_w.val - qwell(1 : r.nc); +% Ro = Ar_o.val - qwell(r.nc+1 : 2*r.nc); +% PVv = PV.val; +% % PV_all = sum(PVv); +% Bwa = mean(BW.val); +% Boa = mean(BO.val); + +% MBw = abs(Bwa * dt * (sum(Rw)/PV_all)); +% MBo = abs(Boa * dt * (sum(Ro)/PV_all)); + + + + + + + + + + diff --git a/core functions/preprocess/about_equation/eqsOW_MB_2014.m b/core functions/preprocess/about_equation/eqsOW_MB_2014.m new file mode 100644 index 0000000..0f16415 --- /dev/null +++ b/core functions/preprocess/about_equation/eqsOW_MB_2014.m @@ -0,0 +1,187 @@ +function [eqs, Awell, qwell,PVv, Bga, Bwa] = eqsOW_MB_2014(state, state0, dt, r, f, os, Wellc, Weladd, pwf, WelChg, well_schedules_k) + +p = state.p; +sw = state.sw; +cs = state.cs; +cb = state.cb; +p0 = state0.p; +sw0 = state0.sw; +cs0 = state0.cs; +cb0 = state0.cb; +[p, sw, cs, cb] = intADI(p, sw, cs, cb); + +% zϵλ +% ڵȷ仯ʱܶҲᷢ仯˲ܼ򵥵ôѹ +%λzд +z=r.z; +z = intADIz(z); +% Dosiǵ²õܶȣDwsiǵ²õˮܶ + +% % % % Ӧϵ +% % % exp_paramter_1 = -0.04; +% % % reference_pressure = 20; +% % % stress_factor = exp(exp_paramter_1*(p-reference_pressure)); +Nc0 = f.Nc(cs0); +Nc = f.Nc(cs); +% Water Props +BW = f.Bw(p); +muW = f.muw(p); +krW = f.krw(sw, Nc); +pcOW = 0; +if f.ifpcgl + pcOW = f.pcgl(sw); +end +pw = p - pcOW +f.chemistry_cof*log(cb0); +dpW = os.grad(pw); +% dzw=1e-6*9.8*f.Dwsi*os.grad(z./BW); %ˮλݶ +dzw=0; +dpW = dpW+dzw; +upc = (double(dpW)<=0);%һҪѹ +mobW = os.faceUpstr(upc, krW) .* os.faceAvg(1./(BW.*muW)); +% mobW = os.faceUpstr(upc, krW) .* os.faceAvg(1./(BW.*muW)) .* os.faceAvg(stress_factor); +% ѹݶȵƽ +if f.p_grad_threshold ~= 0 + pcOW0 = f.pcgl(sw0); + pw0 = p0 - pcOW0+f.chemistry_cof*log(cb0); + dpW0 = os.grad(pw0); + dzw0=0; + dpW0 = dpW0+dzw0; + pW_grad0 = r.T_diff./r.flowArea.*dpW0; + ratioW = smooth_relu_stable(pW_grad0, f.p_grad_threshold); +else + ratioW = 1; +end +bWvW = -r.T .* mobW .* (dpW).*ratioW; + +% ϶ +pore = r.por(p); +% +mobW_s = os.faceUpstr(upc, krW.*cs) .* os.faceAvg(1./(BW.*muW)); +bWvW_s = -r.T .* mobW_s .* dpW; +dcs = os.grad(cs); +upc_s = (double(dcs)<=0); +mobW_s_diff = os.faceUpstr(upc_s, pore.*sw) .* os.faceAvg(1./(BW)); +diff_s = -r.T_diff .*mobW_s_diff .* dcs; + +% +mobW_b = os.faceUpstr(upc, krW.*cb) .* os.faceAvg(1./(BW.*muW)); +bWvW_b = -r.T .* mobW_b .* dpW; +dcb = os.grad(cb); +upc_b = (double(dcb)<=0); +mobW_b_diff = os.faceUpstr(upc_b, pore.*sw) .* os.faceAvg(1./(BW)); +diff_b = -r.T_diff.*mobW_b_diff.*dcb; + +% gas Props +BG = f.Bg(p); +muG = f.mug(p); +krG = f.krrg(sw, Nc); +dpG = os.grad(p); +% dzg=1e-6*9.8*f.Dgsi*os.grad(z./BG); %λݶ +dzg=0; +dpG = dpG+dzg; +upc = (double(dpG)<=0);%һҪѹ +mgbG = os.faceUpstr(upc, krG) .* os.faceAvg(1./(BG.*muG)); +% mobO = os.faceUpstr(upc, krO) .* os.faceAvg(1./(BO.*muO)).* os.faceAvg(stress_factor); +% ѹݶȵƽ +if f.p_grad_threshold ~= 0 + dpG0 = os.grad(p0); + dzg0=0; + dpG0 = dpG0+dzg0; + pG_grad0 = r.T_diff./r.flowArea.*dpG0; + ratioG = smooth_relu_stable(pG_grad0, f.p_grad_threshold); +else + ratioG = 1; +end +% Knudsen ɢӰ +bGvG = -r.matrixflag.*f.gas_prop.Kn_modified_factor.*r.T .* mgbG .* dpG.*ratioG ... + -(1-r.matrixflag).*r.T .* mgbG .* dpG.*ratioG; +% Ǵѷ +% Forchheimer_factor = 1/(1+kf/mug*beta*density_g*v_gf) +BG0 = f.Bg(p0);muG0 = f.mug(p0);krG0 = f.krrg(sw0,Nc0);dpG0 = os.grad(p0); +dzg0=0; +upc0 = (double(dpG0+dzg0)<=0);%һҪѹ +mgbG0 = os.faceUpstr(upc0, krG0) .* os.faceAvg(1./(BG0.*muG0)); +% mobO = os.faceUpstr(upc, krO) .* os.faceAvg(1./(BO.*muO)).* os.faceAvg(stress_factor); +v_gf = -(1-r.matrixflag).*r.T .* mgbG0 .* dpG0./r.flowArea; +density_g = f.Dgsi./BG0; +Forchheimer_factor = 1./(1+(1-r.matrixflag).*r.perm./os.faceAvg(muG0).*f.gas_prop.beta_non_Darcy_flow.*os.faceAvg(density_g).*abs(v_gf)); + +% ֱлϵͳӦϵ ѷϵͳӦϵ +stress_factor = r.matrixflag.*exp(r.stress_factor_matrix*(os.faceAvg(p0)-r.stress_factor_ref_pressure))... + +(1-r.matrixflag).*exp(r.stress_factor_fracture*(os.faceAvg(p0)-r.stress_factor_ref_pressure)); + +% ü򵥵ĵӴ +bWvW = bWvW.*stress_factor.*Forchheimer_factor; +bGvG = bGvG.*stress_factor.*Forchheimer_factor; +% zϵλ +% ڵȷ仯ʱܶҲᷢ仯˲ܼ򵥵ôѹ +%λzд +% z=r.z; +% z = intADIz(z); +% Dosiǵ²õܶȣDwsiǵ²õˮܶ +% dzo=0.01*os.grad(z./BO); %λݶ +% dzw=0.01*os.grad(z./BW); %ˮλݶ +% bOvO = -r.T .* mobO .* (dpO+dzo); +% bWvW=-r.T .* mobW .* (dpW+dzw); + +% transfer function (OW) +% [qomf, qofm, qwmf, qwfm] = transFunc(r, krO, krW, BO, muO, BW, muW, p, pw); + +% well equation +[Awell, qwell] = WellEquation(r, f, p.val, sw.val, cs.val, cb.val, Wellc, Weladd, pwf, WelChg, well_schedules_k); +% Awell=dt*Awell; +% qwell=dt*qwell; + +% langmuir +V_CH4=r.rpt.*r.V.*(1-r.por(p)).*r.rock_density.*f.gas_prop.VL.*p/f.gas_prop.PL./(1+p/f.gas_prop.PL); +V_CH4_0=r.rpt.*r.V.*(1-r.por(p)).*r.rock_density.*f.gas_prop.VL.*p0/f.gas_prop.PL./(1+p0/f.gas_prop.PL); + +% Accumulation term +PV = r.V .* r.por(p); +PV0 = r.V .* r.por(p0); +RV = r.V .* (1-r.por(p)); +RV0 = r.V .* (1-r.por(p0)); +Ar_w = 1/dt*(PV .* (sw ./ BW) - PV0 .* (sw0 ./ f.Bw(p0))); +Ar_g = 1/dt*(PV .* ((1 - sw) ./ BG) - PV0 .* ((1 - sw0) ./ f.Bg(p0)) + (V_CH4-V_CH4_0)); +Ar_w_s = 1/dt*(PV .* (sw.*cs./ BW) - PV0 .* (sw0.*cs./ f.Bw(p0))+... + r.rock_density*(RV.*f.cs_absorb(cs)-RV0.*f.cs_absorb(cs0))); +Ar_w_b = 1/dt*(PV .* (sw.*cb./ BW) - PV0 .* (sw0.*cb0./ f.Bw(p0))+... + r.rock_density*(RV.*f.cb_absorb(cb)-RV0.*f.cb_absorb(cb0))); +% Water Equation +eqs{1} = (-os.div(bWvW) - Ar_w); +% ʹʿѷ첻 +% eqs{1} = (-os.div(-r.T .* mobW .* dpW)-r.rpt.*os.div(-r.T .* mobW .* dzw) - Ar_w)*dt; +% eqs{1} = (-os.div(-r.T .* mobW .* dpW) - Ar_w)*dt; +% eqs{1} = -os.div(bWvW) - Ar_w; +% Oil Equation +eqs{2} = (-os.div(bGvG) - Ar_g); +% eqs{2} = (-os.div(-r.T .* mobO .* dpO)-r.rpt.*os.div(-r.T .* mobO .* dzo) - Ar_o)*dt; +% eqs{2} = (-os.div(-r.T .* mobO .* dpO) - Ar_o)*dt; +eqs{3} = (-os.div(bWvW_s+diff_s) - Ar_w_s); +eqs{4} = (-os.div(bWvW_b+diff_b) - Ar_w_b); +% +PVv = PV.val; +Bwa = BW.val; +Bga = BG.val; +% eqs{2} = -os.div(bOvO) - Ar_o; + + +% Rw = Ar_w.val - qwell(1 : r.nc); +% Ro = Ar_o.val - qwell(r.nc+1 : 2*r.nc); +% PVv = PV.val; +% % PV_all = sum(PVv); +% Bwa = mean(BW.val); +% Boa = mean(BO.val); + +% MBw = abs(Bwa * dt * (sum(Rw)/PV_all)); +% MBo = abs(Boa * dt * (sum(Ro)/PV_all)); + + + + + + + + + + diff --git a/core functions/preprocess/about_equation/equa_process.m b/core functions/preprocess/about_equation/equa_process.m new file mode 100644 index 0000000..68306d3 --- /dev/null +++ b/core functions/preprocess/about_equation/equa_process.m @@ -0,0 +1,56 @@ +function [eqs, qomf, qofm, qwmf, qwfm, Awell, qwell] = equa_process(state, state0, dt, r, f, os, Wellc, Weladd, pwf, WelChg) +p = state.p; +sw = state.sw; +p0 = state0.p; +sw0 = state0.sw; +[p, sw] = intADI(p, sw); + +% Water Props +BW = f.Bw(p);%زˮϵ +muW = f.muw(p);%زˮճ +krW = f.krw(sw);%زˮ͸ +pcOW = 0;%Ĭifpcow=0ĬϺë +if f.ifpcow + pcOW = f.pcow(sw); +end +pw = p - pcOW;%ˮѹ +dpW = os.grad(pw);%ˮѹݶ +upc = (double(dpW)<=0);%Ϊӭʽflag +mobW = os.faceUpstr(upc, krW) .* os.faceAvg(1./(BW.*muW));%ӭʽ +bWvW = -r.T .* mobW .* dpW;%ϵ**ѹ + +% Oil Props +BO = f.Bo(p);%ϵ +muO = f.muo(p);%ճ +krO = f.kro(sw);%͸ +dpO = os.grad(p);%ѹݶ +upc = (double(dpO)<=0);%ӭʽflag +mobO = os.faceUpstr(upc, krO) .* os.faceAvg(1./(BO.*muO));% +bOvO = -r.T .* mobO .* dpO; + +% zϵλ +% ڵȷ仯ʱܶҲᷢ仯˲ܼ򵥵ôѹ +%λzд +z=r.z; +z = intADIz(z); +% Dosiǵ²õܶȣDwsiǵ²õˮܶ +dzo=f.Dosi*os.grad(z./BO); %λݶ +dzw=f.Dwsi*os.grad(z./BW); %ˮλݶ + + +% transfer function (OW) +[qomf, qofm, qwmf, qwfm] = transFunc(r, krO, krW, BO, muO, BW, muW, p, pw); + +% well equation +[Awell, qwell] = WellEquation(r, f, p.val, sw.val, Wellc, Weladd, pwf, WelChg); + +% Ϊzȡʷѹݶȼλݶ +% Water Equation +eqs{1} = -os.div(bWvW+dzo) - r.V/dt .* (r.por(p) .* (sw ./ BW) - r.por(p0) .* (sw0 ./ f.Bw(p0))); + +% Oil Equation +eqs{2} = -os.div(bOvO+dzw) - r.V/dt .* (r.por(p) .* ((1 - sw) ./ BO) - r.por(p0) .* ((1 - sw0) ./ f.Bo(p0))); + + +end + diff --git a/core functions/preprocess/about_grid/GenerateNode_final.m b/core functions/preprocess/about_grid/GenerateNode_final.m new file mode 100644 index 0000000..6f5a818 --- /dev/null +++ b/core functions/preprocess/about_grid/GenerateNode_final.m @@ -0,0 +1,96 @@ +function [coordinates, nodes, nP, nE, dxv, dyv,dzv,zm,vm,xrao,yrao,zrao,cell_mid_coordinates] = GenerateNode_final(dx, dy,dz ,nx,ny,nz,NTG) +% coordinates xy cordinateÿڵx,y +% nodes connectionÿӦİ˸ڵ +% nP numbers of pointڵ +% nE numbers of element +nP = (nx + 1) * (ny + 1)*(nz+1);%ڵ +nE = nx * ny*nz;% +% dx=dx*ones(nx,1);%˴ΪʱЭ +% dy=dy*ones(nx,1); +% dz=dz*ones(nx,1); +dxv = zeros(nE, 1);%ÿxϳߴ +dyv = zeros(nE, 1);%ÿyϳߴ +dzv = zeros(nE, 1); +zm=zeros(nE, 1);%ȣƽΪ׼õĸ߶ȣֵΪ +xm=zeros(nE, 1); +ym=zeros(nE, 1); +%ÿxy򸳳ߴ +vm=zeros(nE, 1);% +for k=1:nz + for i = 1 : nx + for j = 1 : ny + dxv(i+(j-1)*nx+nx*ny*(k-1)) = dx(i); + dyv(i+(j-1)*nx+nx*ny*(k-1)) = dy(j); + dzv(i+(j-1)*nx+nx*ny*(k-1))= dz(k); + vm(i+(j-1)*nx+nx*ny*(k-1))=dx(i)*dy(j)*dz(k)*NTG(i+(j-1)*nx+nx*ny*(k-1)); + + end + end +end +coordinates = zeros(nP, 3);%ʼÿڵx,y +nodes = zeros(nE, 8);%ʼÿӦİ˸ڵľ +%ÿڵ +x0 = zeros(nx+1,1); +y0 = zeros(ny+1,1); +z0=zeros(nz+1,1); +sumx = 0; +sumy = 0; +sumz=0; +for i = 1 : nx + sumx = sumx+dx(i); + x0(i+1) = sumx; +end +for i = 1 : ny + sumy = sumy+dy(i); + y0(i+1) = sumy; +end +for i = 1 : nz + sumz = sumz+dz(i); + z0(i+1) = sumz; +end +for k=1:nz+1 +for j = 1 : ny + 1 + for i = 1 : nx + 1 + coordinates(i + (j - 1) * (nx + 1)+(nx+1)*(ny+1)*(k-1), 1) = x0(i);%(i,jڵx긳ֵ + coordinates(i + (j - 1) * (nx + 1)+(nx+1)*(ny+1)*(k-1), 2) = y0(j);%(i,jڵy긳ֵ + coordinates(i + (j - 1) * (nx + 1)+(nx+1)*(ny+1)*(k-1), 3) = z0(k); + end +end +end +%ÿİ˸(ڵ㣩ӦĽڵ +for k=1:nz +for j = 1 : ny + for i = 1 : nx + nodes(i + (j - 1) * nx+nx*ny*(k-1), 1) = i + (j - 1) * (nx + 1)+(k-1)*(nx+1)*(ny+1); + nodes(i + (j - 1) * nx+nx*ny*(k-1), 2) = nodes(i + (j - 1) * nx+nx*ny*(k-1), 1) + 1; + nodes(i + (j - 1) * nx+nx*ny*(k-1), 3) = nodes(i + (j - 1) * nx+nx*ny*(k-1), 1) + nx + 1; + nodes(i + (j - 1) * nx+nx*ny*(k-1), 4) = nodes(i + (j - 1) * nx+nx*ny*(k-1), 1) + nx + 2; + nodes(i + (j - 1) * nx+nx*ny*(k-1), 5) = nodes(i + (j - 1) * nx+nx*ny*(k-1), 1)+(nx+1)*(ny+1); + nodes(i + (j - 1) * nx+nx*ny*(k-1), 6) = nodes(i + (j - 1) * nx+nx*ny*(k-1), 5) + 1; + nodes(i + (j - 1) * nx+nx*ny*(k-1), 7) = nodes(i + (j - 1) * nx+nx*ny*(k-1), 5) + nx + 1; + nodes(i + (j - 1) * nx+nx*ny*(k-1), 8) = nodes(i + (j - 1) * nx+nx*ny*(k-1), 5) + nx + 2; + zm(i+(j-1)*nx+nx*ny*(k-1))=sum(coordinates(nodes(i + (j - 1) * nx+nx*ny*(k-1), :),3))/8; + xm(i+(j-1)*nx+nx*ny*(k-1))=sum(coordinates(nodes(i + (j - 1) * nx+nx*ny*(k-1), :),1))/8; + ym(i+(j-1)*nx+nx*ny*(k-1))=sum(coordinates(nodes(i + (j - 1) * nx+nx*ny*(k-1), :),2))/8; + end +end +end + +cell_mid_coordinates = [xm,ym,zm]; + +xrao=[0]; +for i=1:nx + xxiang=sum(dx(1,1:i)); + xrao=[xrao xxiang]; +end +yrao=[0]; +for i=1:ny + yxiang=sum(dy(1,1:i)); + yrao=[yrao yxiang]; +end +zrao=[0]; +for i=1:nz + zxiang=sum(dz(1,1:i)); + zrao=[zrao zxiang]; +end +end \ No newline at end of file diff --git a/core functions/preprocess/about_grid/GridProplpr.m b/core functions/preprocess/about_grid/GridProplpr.m new file mode 100644 index 0000000..09cdaa0 --- /dev/null +++ b/core functions/preprocess/about_grid/GridProplpr.m @@ -0,0 +1,175 @@ +function r = GridProplpr(nx, ny, nz, dx, dy, dz , kx, ky, kz, nf,f, Kf, Wf, pori, prpor, cpor, Porf, prporf, cporf, cf, ca) +%% 㡢洢 +r.nx = nx; +r.ny = ny; +r.nz = nz; +r.dx = dx; +r.dy = dy; +r.dz = dz; +r.kx = kx; +r.ky = ky; +r.kz = kz; +r.Kf = Kf;%ѷӦ͸ʣѷ쵥Ԫ +r.Wf = Wf;%ѷӦķѷ쵥Ԫ +r.cf = cf; +r.ca = ca; +% r.h = h; +% [coordinates, nodes, ~, nmc, Dxv, Dyv] = GenerateNode_final(Dx, Dy, nx, ny); +[coordinates, nodes, nP, nE, dxv, dyv,dzv,zm,vm] = GenerateNode_final(dx, dy,dz ,nx,ny,nz); +r.coordinates = coordinates; +r.nodes = nodes; +nmc=nE; +r.nmc =nmc; +r.dxv = dxv; +r.dyv = dyv; +r.dzv = dyv; +r.vm=vm; + +%% ѷ +%% ؼʼ +m=size(f,1);nf=m/5;%ѷ +r.nf=nf; +%d3intersection=-1000*ones(1000,3);%-1000ʶ +raopoint=cell(m,2);%Ԫ洢ÿѷߵĽ㣬 +%һάʽd3intersection +%ڶѷʽanothersection +pointvsregion=cell(m,3);%Ԫ洢interareaĽnumofmesh, numvspoint,numofregion +fracrossfra=cell(m,m-1);%жѷ֮ +fratmaxfra=zeros(m,m-1);%жѷ֮佻ֵ߲ +fratminfra=zeros(m,m-1);%жѷ֮佻߲Сֵ +fracturemesh=cell(nf,1);%ÿһһѷϵʷ +% [Linep, ConnecS, Fracp, ~, FracConf2] = Edfm_preprocess_final(coordinates, nodes, Lines, NF); +% r.Linep = Linep; +% r.ConnecS = ConnecS; +% r.Fracp = Fracp; +% r.FracConf2 = FracConf2; +%% ѷཻ +for i=1:nf + raopoint{i,1}= intersectionsolve(f((5*i-4):(5*i),:),dx,dy,dz,nx,ny,nz ); + raopoint{i,2}= anosection( f((5*i-4):(5*i),:),raopoint{i,1} ); + [ pointvsregion{i,1},pointvsregion{i,2} ,pointvsregion{i,3}] = interarea( raopoint{i,1},dx,dy,dz,nx,ny,nz ); +end +%% ѷཻ֮ +for i=1:nf + for j=1:nf + [ cross,tmax,tmin ]=frac_cross_frac( f((5*i-4):(5*i),:),f((5*j-4):(5*j),:) ); + fracrossfra{i,j}=cross;fratmaxfra(i,j)=tmax;fratminfra(i,j)=tmin; + end +end +%% ѷ챻ѷֲཻ֮,ƶάѷƽϵϵֲ +figure(1); +for i=1:nf + d3intersection=raopoint{i,1};anothersection=raopoint{i,2}; + [ mesh ] = frac_mat_mesh( d3intersection,anothersection,pointvsregion{i,2},pointvsregion{i,1} ); + for j=1:nf +[ mesh,d3intersection,anothersection ]= frac_frac_mesh(mesh,f(5*i-4,:),f(5*i-3,:),f(5*i-2,:),fracrossfra{i,j},fratmaxfra(i,j),fratminfra(i,j),d3intersection,anothersection,pointvsregion{i,2},pointvsregion{i,1} ); + end + raopoint{i,1}=d3intersection;raopoint{i,2}=anothersection;%ԭѷĽ㲻ϸ¼ѷѷĽ + fracturemesh{i,1}=mesh;subplot(nf,1,i);plotmesh2D(mesh,raopoint{i,2}); +end + +%% ά񣨻񣩼ѷֲ +%figure(2) +%network3D(dx,dy,dz,nx,ny,nz ); +%hold on; + figure(2); +for i=1:nf +plotmesh3D( fracturemesh{i,1},raopoint{i,1} );hold on; +end +hold off; +%% ȷѷż㴫ϵ +[ matrixvsfra,connectmf,fracnumber,fracstart,corevsfra,connect_infrac, N,T,zf,fcinff,vf,porf,fcff ] = connections( fracturemesh,pointvsregion,raopoint,f,nf,nx,ny,nz,kx,ky,kz,Kf,Wf,Porf,dxv,dyv,dzv ); +nfc=size(fracnumber,1); +nex=size(T,1); +r.nfc=nfc; +nc=nfc+nmc; +r.nc=nc;%ѷ쵥Ԫ +r.nex=nex;%彻 +kf=Kf(fcinff); +wf=Wf(fcinff); +r.kf=kf;%ѷ쵥ԪӦ͸ +r.wf=wf;%ѷ쵥ԪӦķ +r.N=N; +r.T=T; +r.vf=vf; +r.V=[vm;vf]; +r.porf=porf; +r.fcff=fcff; +%% 㴫ϵ +% dxvector=ones(1,nx);dyvector=ones(1,ny);dzvector=ones(1,nz); +% [ transmatrix,transfracture ] = trans(dxvector,dyvector,dzvector ,nx,ny,nz,nf,fracnumber,lengthvsfra,disvsfra,fracstart,connect_infrac,corevsfra,matrixvsfra,raopoint,f ); +%% ѷ֮ϵ +% [ channelfrac ] = cuanliu( matrixvsfra,fracstart,fracnumber,raopoint,f,nodes,coordinates,nf );%Gf +% [ G ] = cuanliumatrix(dx,dy,dz );%G +[ G,Gfm,Gff,Gf,Ap,Apf ]=lpr(dx,dy,dz,matrixvsfra,connectmf,fracstart,fracnumber,raopoint,f,nodes,coordinates,nf,corevsfra ); +%% +[Ka, M, F2M , MF_coef] = transFunc_aniso(nc,coordinates, nodes, connectmf,Ap,Apf, matrixvsfra,N,T,kx, ky,kz); +r.Ka = Ka; +r.M = M; +r.F2M = F2M; +r.MF_coef = MF_coef; +%% ȣƽΪ׼õĸ߶ȣֵΪ +z=[zm;zf]; +r.z=z; + +% nfc = length(Fracp); +% r.nfc = nfc; +% [kf, wf, porf] = FracProp(Kf, Wf, Porf, ConnecS); +% r.kf = kf; +% r.wf = wf; +% [Nff, Vf, lf] = FracConnec(Linep, Fracp, FracConf2, kf, wf, h); +% r.lf = lf; +% [nff, ~] = size(Nff); +% nc = nmc + nfc; +% r.nc = nc; + rpt = [ones(nmc, 1); zeros(nfc, 1)]; + r.rpt = rpt; + r.Porf = Porf; + pori = [pori; porf]; +r.pori = pori; +r.por = @(p)por(p, prpor, pori, cpor, prporf, cporf, r.rpt); +% nmf = 2 * nx * ny - nx - ny; +% r.nf = nmf + nff; +% N = zeros(nmf, 2); +% T = zeros(nmf, 1); +% c = 0; +% for j = 1 : ny +% for i = 1 : nx - 1 +% c = c + 1; +% index = i + (j - 1) * nx; +% indexn = index + 1; +% N(c, :) = [index, index + 1;]; +% T(c) = 2 * Dyv(index)*h*Kx(index)*Kx(indexn)/(Kx(index)*Dxv(indexn) + Kx(indexn)*Dxv(index)); +% end +% end +% for i = 1 : nx +% for j = 1 : ny - 1 +% c = c + 1; +% index = i + (j - 1) * nx; +% indexn = index + nx; +% N(c, :) = [index, index + nx]; +% T(c) = 2 * Dxv(index)*h*Ky(index)*Ky(indexn)/(Ky(index)*Dyv(indexn) + Ky(indexn)*Dyv(index)); +% end +% end +% r.N = [N; Nff(:, 1:2)+nmc]; +% r.T = [T; Nff(:, 3)]; +% r.cf = cf; +% r.ca = ca; +% r.Kx = Kx; +% r.Ky = Ky; +% r.Kf = Kf; +% r.Wf = Wf; +% r.Porf = Porf; +% r.lf = lf; +% Vm = Dxv .* Dyv .* h; +% r.V = [Vm; Vf]; +% pori = [pori; porf]; +% r.pori = pori; +% rpt = [ones(nmc, 1); zeros(nfc, 1)]; +% r.rpt = rpt; +% r.por = @(p)por(p, prpor, pori, cpor, prporf, cporf, r.rpt); +% [Ka, M, F2M , MF_coef] = transFunc_aniso(coordinates, nodes, Linep, ConnecS, nmc, nfc, nc, Kx, Ky); +% r.Ka = Ka; +% r.M = M; +% r.F2M = F2M; +% r.MF_coef = MF_coef; diff --git a/core functions/preprocess/about_grid/LGR3D.m b/core functions/preprocess/about_grid/LGR3D.m new file mode 100644 index 0000000..05927ea --- /dev/null +++ b/core functions/preprocess/about_grid/LGR3D.m @@ -0,0 +1,7 @@ +function [ output_args ] = LGR3D( input_args ) +%LGR3D ˴ʾйش˺ժҪ +% ˴ʾϸ˵ + + +end + diff --git a/core functions/preprocess/about_grid/anosection.m b/core functions/preprocess/about_grid/anosection.m new file mode 100644 index 0000000..1b25df0 --- /dev/null +++ b/core functions/preprocess/about_grid/anosection.m @@ -0,0 +1,28 @@ +function [ anothersection ] = anosection( fracture,d3intersection ) +%ΪdelaunayѷƽЧøѷƽ +%ѷƽϵάŷϿռתΪѷϵIJ꣬ɼȷѷ״ +%ȡ +%ʾ[ anothersection ] = anothersection([0.5,0,0],[1,1,0],[0,0,1],d3intersection ) +t0=fracture(1,:);t1=fracture(2,:);t2=fracture(3,:); +A=[t1(1),t2(1); + t1(2),t2(2); + t1(3),t2(3)]; +n=size(d3intersection,1); +b=[t0(1);t0(2);t0(3)]; +B=d3intersection'-repmat(b,1,n); +C=A\B; +m=size(C,2); +% for i=1:1:m +% if((C(1,i)>umax)||(C(1,i)vmax)||(C(2,i)2)||((size(raoflag,2)<2))) continue;%Ϊ͹ΣֻҪѷĹԪ2йߣ + %2ͬѷΪǣһǰΣìܣ֤ϣСûйеı + else if (a==b) continue; %˵ѷ쵥ԪͬһУ˲Ӧڴ + else + raoconnect(p,q)=k;q=q+1; + length=norm(d3intersection(raoflag(1),:)-d3intersection(raoflag(2),:));%ѷ쵥Ԫ߳ + rao1k=corevsfra(k,:)-d3intersection(raoflag(1),:); + rao1j=corevsfra(j,:)-d3intersection(raoflag(1),:); + rao2=d3intersection(raoflag(1),:)-d3intersection(raoflag(2),:); + %ֱѷ쵥Ԫĵߵľ + disk=norm(cross(rao1k',rao2'))/norm(rao2); + disj=norm(cross(rao1j',rao2'))/norm(rao2); + tran1=kf(i)*wf(i)*length/disk; + tran2=kf(i)*wf(i)*length/disj; +% hartran=length/(disk+disj);%ȡƽ + hartran=tran1*tran2/(tran1+tran2); + Nff=[Nff; j,k]; + Tff=[Tff;hartran]; + %ÿѷĵÿߵľ + end + end + p=p+1; + end + connect_infrac{i,1}=raoconnect; + end +end +Nff(1,:)=[]; %ȥһе +Tff(1,:)=[]; +%% ͬһеѷ쵥Ԫʼ +nmc=size(matrixvsfra,1); +Nmff=zeros(1,2); +Tmff=zeros(1,1); +for i=1:nmc + if(norm(matrixvsfra(i,:))~=0) + indice=find(matrixvsfra(i,:)~=0); + n=size(indice,2); + if (n>1) %ʱҪȡļ㷨 +% lengthvsfra(matrixvsfra(i,indice))./disvsfra(matrixvsfra(i,indice)) + for j=1:n-1 + for k=j:n + Nmff=[Nmff;matrixvsfra(i,indice(j)), matrixvsfra(i,indice(k))]; + % ʱļ㷽ʽÿѷƽڸûеѷ쵥Ԫƽ + fc1=matrixvsfra(i,indice(j)); fc2=matrixvsfra(i,indice(k)); + allfc=matrixvsfra(i,1:n); sumtran=sum(fcff{1,7}(allfc)); + Tmff=[Tmff; fcff{1,7}(fc1)*fcff{1,7}(fc2)/sumtran]; + end + end + end + end +end +Nmff(1,:)=[]; %ȥͷ +Tmff(1,:)=[]; +% N = [N; Nmff+nmc]; +% T = [T; Tmff]; + +%% ϵ +nmc=nx * ny*nz;%Ŀ +nfc=size(fracnumber,1);%ѷ쵥ԪĿ +rpt = [ones(nmc, 1); zeros(nfc, 1)]; +% r.rpt = rpt; +nmm = (nx-1)*ny*nz+(ny-1)*nx*nz+(nz-1)*nx*ny;%nmmǻ֮彻 +% r.nf = nmm + nff;%nffѷ쵥Ԫ֮彻 +Kx=kx.*ones(nmc,1); +Ky=ky.*ones(nmc,1); +Kz=kz.*ones(nmc,1); +N = zeros(nmm, 2);%洢֮彻 +T = zeros(nmm, 1);%洢ӦNĴϵ +c = 0; +for k= 1 : nz +for j = 1 : ny + for i = 1 : nx - 1 + c = c + 1; + index = i + (j - 1) * nx + (k - 1) * nx * ny; + indexn = index + 1; + N(c, :) = [index, indexn]; + T(c) = 2 * dzv(index)*dyv(index)*Kx(index)*Kx(indexn)/(Kx(index)*dxv(indexn) + Kx(indexn)*dxv(index)); + end +end +end + +for k= 1 : nz +for i = 1 : nx + for j = 1 : ny - 1 + c = c + 1; + index = i + (j - 1) * nx + (k - 1) * nx * ny; + indexn = index + nx; + N(c, :) = [index, indexn]; + T(c) = 2 * dzv(index)*dxv(index)*Ky(index)*Ky(indexn)/(Ky(index)*dyv(indexn) + Ky(indexn)*dyv(index)); + end +end +end + +for i = 1 : nx +for j = 1 : ny + for k= 1: nz-1 + c = c + 1; + index = i + (j - 1) * nx + (k - 1) * nx * ny; + indexn = index + nx * ny; + N(c, :) = [index, index + nx*ny]; + T(c) = 2 * dxv(index)*dyv(index)*Kz(index)*Kz(indexn)/(Kz(index)*dzv(indexn) + Kz(indexn)*dzv(index)); + end +end +end +%% 2014ķΪƵʽ +syms x y z; +Ninterflow=[]; +Tinterflow=[]; +for i=1:nx*ny*nz % + for j=1:10 + if matrixvsfra(i,j)~=0 %this matrix cell contains a fracture cell + Ninterflow=[Ninterflow;i,matrixvsfra(i,j)+nmc]; + kcell=(kx(i)*ky(i)*kz(i))^(1/3); + Knnc=2*kcell*Kf(matrixvsfra(i,j))/(kcell+Kf(matrixvsfra(i,j))); + Annc=areavsfra(matrixvsfra(i,j)); + fracore=corevsfra(matrixvsfra(i,j)); + matnodes=nodes(i,:); + verco=coord(matnodes,:);norvec=normalvec(matrixvsfra(i,j),:); + matcore=mean(verco);d0=matcore-fracore; + dn=(x+d0(1))*norvec(1)+(y+d0(2))*norvec(2)+(z+d0(3))*norvec(3); +% dn=abs(dn);%ӰֵЧ + dn=sqrt(dn^2); + dn=matlabFunction(dn); + if norvec(1)~=0 && norvec(2)~=0 && norvec(3)~=0 + Dn=integral3(dn,-dxv(i)/2,dxv(i)/2,-dyv(i)/2,dyv(i)/2,-dzv(i)/2,dzv(i)/2)/(dxv(i)*dyv(i)*dzv(i)); + else if norvec(1)~=0 && norvec(2)~=0 + Dn=dzv(i)*integral2(dn,-dxv(i)/2,dxv(i)/2,-dyv(i)/2,dyv(i)/2)/(dxv(i)*dyv(i)*dzv(i)); + else if norvec(1)~=0 && norvec(3)~=0 + Dn=dyv(i)*integral2(dn,-dxv(i)/2,dxv(i)/2,-dzv(i)/2,dzv(i)/2)/(dxv(i)*dyv(i)*dzv(i)); + else if norvec(2)~=0 && norvec(3)~=0 + Dn=dxv(i)*integral2(dn,-dyv(i)/2,dyv(i)/2,-dzv(i)/2,dzv(i)/2)/(dxv(i)*dyv(i)*dzv(i)); + else if norvec(1)~=0 + Dn=dyv(i)*dzv(i)*integral(dn,-dxv(i)/2,dxv(i)/2); + else if norvec(2)~=0 + + raoT=Knnc*Annc/Dn; + Tinterflow=[Tinterflow;raoT]; + end + end +end + +%% ľֱ +N = [N; Nmff+nmc; Nff+nmc;Ninterflow]; +T = [T; Tmff; Tff;Tinterflow]; +nex=size(N,1); +end diff --git a/core functions/preprocess/about_grid/connections.m b/core functions/preprocess/about_grid/connections.m new file mode 100644 index 0000000..bdc3bb4 --- /dev/null +++ b/core functions/preprocess/about_grid/connections.m @@ -0,0 +1,247 @@ +function [ matrixvsfra,connectmf,fracnumber,fracstart,corevsfra,connect_infrac,N,T,zf,fcinff,vf,porf,fcff] = connections( fracturemesh,pointvsregion,raopoint,f,nf,nx,ny,nz,kx,ky,kz,kf,wf,Porf,dxv,dyv,dzv ) +% úԸѷţ洢ӹϵʣǰĹؼ +% ͬڶάǶʽɢѷģͣάģУѷǶάƽ棬֮ӹϵӣ +%ܼ򵥵ôӻжڣѷزڣڣѷȴһ +%ԭȥȷconnectionsȡ· +%һ:xinkȥк󣬰θijѷţͬʱ洢ѷڵĻ +%ڶ:洢ÿѷ߽磬߽糤ȣĵ꣬ĵ㵽߽ľ룬Ϊ׼ +%:ѷ˳򣬰ձ߽ͬı߽磬ѷڵ +%matrixvsfraаѷŵ +%fracnumberűʾѷţݱʾĵ +%areavsfraűʾѷţݱʾѷ +%ÿһߣȻ˳򷴹һ +%lengthvsfraűʾѷţݱʾѷĸ߳ +%corevsfraűʾѷţݱʾѷ +%disvsfraűʾѷţݱʾѷĵߵľ +matrixvsfra=zeros(nx*ny*nz,10);%Ϊ˼ٸþĴСʵһУһ㲻г10ѷ +fracnumber=zeros(1000,20);%ʵѷһ㲻ᳬ1000Ҳɸʵı +%m=size(xink,1); +rownum=zeros(nf,1); +for i=1:nf +rownum(i)=size(fracturemesh{i,1},1); +end +%% ѷһţӸӦĻ +q=1; +fracstart=zeros(nf+1,1);%ʾܱУÿѷʼĺ +for j=1:nf + fracstart(j)=q; + numofmesh=pointvsregion{j,1}; +for i=1:1:rownum(j) + if(norm(fracturemesh{j,1}(i,:))~=0) + raoindice=size(fracturemesh{j,1}(i,:),2); + fracnumber(q,1:raoindice)=fracturemesh{j,1}(i,:);%qǸѷ +% m=floor((i+(2^nf)-1)/(2^nf)); +% indice=find(matrixvsfra(numofmesh(m),:)~=0); + indice=find(matrixvsfra(numofmesh(i),:)~=0); + if (size(indice,2)==0) xiang=1; + else + rao=max(indice'); + xiang=rao(1)+1; + end + matrixvsfra(numofmesh(i),xiang)=q;%ѷŸӦĻ + q=q+1; + end +end +end +fracstart(nf+1)=q;%ѷ+1 +fracnumber(q:1000,:)=[]; + + +%% ѷ쵥ԪĻɸѡ,д +m=size(matrixvsfra,1); +connectmf=cell(1,4); +% for i=1:m +% if (norm(matrixvsfra(i,:))~=0) +% ConnecS = cell(1,4); +cc = 0; +cl = 1; +for i = 1 : m + %ɸѡѷĻ +% if ~isempty(matrixvsfra(i,:)) + if (norm(matrixvsfra(i,:)))~=0 + cc = cc + 1; + %洢û + connectmf{cc,1} = i; + %Щѷ/ѷ쵥Ԫ˳ + A=matrixvsfra(i,:); + A(A==0)=[]; + connectmf{cc,2} =A; +end +end + +%% һѷѷ߽ȵ +% edgevsfra=cell(nf,1); +areavsfra=zeros(q-1,1);%q-1ѷ +lengthvsfra=zeros(q-1,10); +corevsfra=zeros(q-1,3); +disvsfra=zeros(q-1,10); +tran=zeros(q-1,10); +avtran=zeros(q-1,1);%ѷƽںļ򻯼 +fcinff=zeros(q-1,1);%ʾѷ쵥Ԫڵѷ +zf=zeros(q-1,1);%ѷ쵥Ԫ߶ȣ±Ϊ׼ +vf=zeros(q-1,1);%ѷ쵥Ԫ +porf=zeros(q-1,1);%ѷ쵥ԪĿ϶ +for i=1:1:q-1 %ѷв + if(norm(fracnumber(i,:))==0) break; + else + for k=2:(nf+1) + if(i2)||((size(raoflag,2)<2))) continue;%Ϊ͹ΣֻҪѷĹԪ2йߣ + %2ͬѷΪǣһǰΣìܣ֤ϣСûйеı + else if (a==b) continue; %˵ѷ쵥ԪͬһУ˲Ӧڴ + else + raoconnect(p,q)=k;q=q+1; + length=norm(d3intersection(raoflag(1),:)-d3intersection(raoflag(2),:));%ѷ쵥Ԫ߳ + rao1k=corevsfra(k,:)-d3intersection(raoflag(1),:); + rao1j=corevsfra(j,:)-d3intersection(raoflag(1),:); + rao2=d3intersection(raoflag(1),:)-d3intersection(raoflag(2),:); + %ֱѷ쵥Ԫĵߵľ + disk=norm(cross(rao1k',rao2'))/norm(rao2); + disj=norm(cross(rao1j',rao2'))/norm(rao2); + tran1=kf(i)*wf(i)*length/disk; + tran2=kf(i)*wf(i)*length/disj; +% hartran=length/(disk+disj);%ȡƽ + hartran=tran1*tran2/(tran1+tran2); + Nff=[Nff; j,k]; + Tff=[Tff;hartran]; + %ÿѷĵÿߵľ + end + end + p=p+1; + end + connect_infrac{i,1}=raoconnect; + end +end +Nff(1,:)=[]; %ȥһе +Tff(1,:)=[]; +%% ͬһеѷ쵥Ԫʼ +nmc=size(matrixvsfra,1); +Nmff=zeros(1,2); +Tmff=zeros(1,1); +for i=1:nmc + if(norm(matrixvsfra(i,:))~=0) + indice=find(matrixvsfra(i,:)~=0); + n=size(indice,2); + if (n>1) %ʱҪȡļ㷨 +% lengthvsfra(matrixvsfra(i,indice))./disvsfra(matrixvsfra(i,indice)) + for j=1:n-1 + for k=j:n + Nmff=[Nmff;matrixvsfra(i,indice(j)), matrixvsfra(i,indice(k))]; + % ʱļ㷽ʽÿѷƽڸûеѷ쵥Ԫƽ + fc1=matrixvsfra(i,indice(j)); fc2=matrixvsfra(i,indice(k)); + allfc=matrixvsfra(i,1:n); sumtran=sum(fcff{1,7}(allfc)); + Tmff=[Tmff; fcff{1,7}(fc1)*fcff{1,7}(fc2)/sumtran]; + end + end + end + end +end +Nmff(1,:)=[]; %ȥͷ +Tmff(1,:)=[]; +% N = [N; Nmff+nmc]; +% T = [T; Tmff]; + +%% ϵ +nmc=nx * ny*nz;%Ŀ +nfc=size(fracnumber,1);%ѷ쵥ԪĿ +rpt = [ones(nmc, 1); zeros(nfc, 1)]; +% r.rpt = rpt; +nmm = (nx-1)*ny*nz+(ny-1)*nx*nz+(nz-1)*nx*ny;%nmmǻ֮彻 +% r.nf = nmm + nff;%nffѷ쵥Ԫ֮彻 +Kx=kx.*ones(nmc,1); +Ky=ky.*ones(nmc,1); +Kz=kz.*ones(nmc,1); +N = zeros(nmm, 2);%洢֮彻 +T = zeros(nmm, 1);%洢ӦNĴϵ +c = 0; +for k= 1 : nz +for j = 1 : ny + for i = 1 : nx - 1 + c = c + 1; + index = i + (j - 1) * nx + (k - 1) * nx * ny; + indexn = index + 1; + N(c, :) = [index, indexn]; + T(c) = 2 * dzv(index)*dyv(index)*Kx(index)*Kx(indexn)/(Kx(index)*dxv(indexn) + Kx(indexn)*dxv(index)); + end +end +end + +for k= 1 : nz +for i = 1 : nx + for j = 1 : ny - 1 + c = c + 1; + index = i + (j - 1) * nx + (k - 1) * nx * ny; + indexn = index + nx; + N(c, :) = [index, indexn]; + T(c) = 2 * dzv(index)*dxv(index)*Ky(index)*Ky(indexn)/(Ky(index)*dyv(indexn) + Ky(indexn)*dyv(index)); + end +end +end + +for i = 1 : nx +for j = 1 : ny + for k= 1: nz-1 + c = c + 1; + index = i + (j - 1) * nx + (k - 1) * nx * ny; + indexn = index + nx * ny; + N(c, :) = [index, index + nx*ny]; + T(c) = 2 * dxv(index)*dyv(index)*Kz(index)*Kz(indexn)/(Kz(index)*dzv(indexn) + Kz(indexn)*dzv(index)); + end +end +end + +%% ľֱ +N = [N; Nmff+nmc; Nff+nmc]; +T = [T; Tmff; Tff]; +nex=size(N,1); +end diff --git a/core functions/preprocess/about_grid/connections_2014.m b/core functions/preprocess/about_grid/connections_2014.m new file mode 100644 index 0000000..757da1e --- /dev/null +++ b/core functions/preprocess/about_grid/connections_2014.m @@ -0,0 +1,529 @@ +function [ matrixvsfra,connectmf,fracnumber,fracstart,corevsfra,connect_infrac,N,T,zf,fcinff,vf,porf,fcff,T_convection,mat_frac,cell_divided_by_fracture_flag, flowArea, perm, matrixflag,T_diff] = connections_2014( fracturemesh,pointvsregion,raopoint,f,nf,nx,ny,nz,kx,ky,kz,pori,kf,wf,Porf,dxv,dyv,dzv,coord,nodes,NTG,addflag,invalid_grids ) +% úԸѷţ洢ӹϵʣǰĹؼ +% ͬڶάǶʽɢѷģͣάģУѷǶάƽ棬֮ӹϵӣ +%ܼ򵥵ôӻжڣѷزڣڣѷȴһ +%ԭȥȷconnectionsȡ· +%һ:xinkȥк󣬰θijѷţͬʱ洢ѷڵĻ +%ڶ:洢ÿѷ߽磬߽糤ȣĵ꣬ĵ㵽߽ľ룬Ϊ׼ +%:ѷ˳򣬰ձ߽ͬı߽磬ѷڵ +%matrixvsfraаѷŵ +%fracnumberűʾѷţݱʾĵ +%areavsfraűʾѷţݱʾѷ +%ÿһߣȻ˳򷴹һ +%lengthvsfraűʾѷţݱʾѷĸ߳ +%corevsfraűʾѷţݱʾѷ +%disvsfraűʾѷţݱʾѷĵߵľ +matrixvsfra=zeros(nx*ny*nz,10);%Ϊ˼ٸþĴСʵһУһ㲻г10ѷ +fracnumber=zeros(1000,20);%ʵѷһ㲻ᳬ1000Ҳɸʵı +%m=size(xink,1); +rownum=zeros(nf,1); +for i=1:nf + rownum(i)=size(fracturemesh{i,1},1); +end +%% ѷһţӸӦĻ +q=1; +fracstart=zeros(nf+1,1);%ʾܱУÿѷʼĺ +for j=1:nf + fracstart(j)=q; + numofmesh=pointvsregion{j,1}; + for i=1:1:rownum(j) + if(norm(fracturemesh{j,1}(i,:))~=0) + raoindice=size(fracturemesh{j,1}(i,:),2); + fracnumber(q,1:raoindice)=fracturemesh{j,1}(i,:);%qǸѷ + % m=floor((i+(2^nf)-1)/(2^nf)); + m=floor((i+(2^addflag(j)-1))/(2^addflag(j))); + indice=find(matrixvsfra(numofmesh(m),:)~=0); + % indice=find(matrixvsfra(numofmesh(i),:)~=0); + if (size(indice,2)==0) xiang=1; + else + rao=max(indice'); + xiang=rao(1)+1; + end + matrixvsfra(numofmesh(m),xiang)=q;%ѷŸӦĻ + q=q+1; + end + end +end +fracstart(nf+1)=q;%ѷ+1 +fracnumber(q:1000,:)=[]; + +%% ѷ쵥ԪĻɸѡ,д +m=size(matrixvsfra,1); +mat_frac=[]; +connectmf=cell(1,4); +% for i=1:m +% if (norm(matrixvsfra(i,:))~=0) +% ConnecS = cell(1,4); +cc = 0; +cl = 1; +for i = 1 : m + %ɸѡѷĻ + % if ~isempty(matrixvsfra(i,:)) + if (norm(matrixvsfra(i,:)))~=0 + cc = cc + 1; + %洢û + connectmf{cc,1} = i; + mat_frac=[mat_frac;i]; + %Щѷ/ѷ쵥Ԫ˳ + A=matrixvsfra(i,:); + A(A==0)=[]; + connectmf{cc,2} =A; + end +end + +%% һѷѷ߽ȵ +% edgevsfra=cell(nf,1); +% Kffl=funtion_data.Kffl; +% Dffl=funtion_data.Dffl; +% kffl=zeros(q-1,1); +% dffl=zeros(q-1,1); +normalvec=zeros(q-1,3);%unit +areavsfra=zeros(q-1,1);%q-1ѷ +lengthvsfra=zeros(q-1,10); +Kf=zeros(q-1,1);%ѷ͸ +Wf=zeros(q-1,1);%ѷ쵥Ԫ +corevsfra=zeros(q-1,3); +disvsfra=zeros(q-1,10); +tran=zeros(q-1,10); +tran_no_perm=zeros(q-1,10); +avtran=zeros(q-1,1);%ѷƽںļ򻯼 +ave_disvsfra=zeros(q-1,1); +fcinff=zeros(q-1,1);%ʾѷ쵥Ԫڵѷ +zf=zeros(q-1,1);%ѷ쵥Ԫ߶ȣ±Ϊ׼ +vf=zeros(q-1,1);%ѷ쵥Ԫ +porf=zeros(q-1,1);%ѷ쵥ԪĿ϶ +avfracFaceArea = zeros(q-1,1); +for i=1:1:q-1 %ѷв + if(norm(fracnumber(i,:))==0) break; + else + for k=2:(nf+1) + if(i0 + for i=1:(q-1) + [dogindex,~]=find(deindex==i); + if length(dogindex)~=0 + newnum(i)=0; + else + [catindex,~]=find(deindex2)||((size(raoflag,2)<2))) continue;%Ϊ͹ΣֻҪѷĹԪ2йߣ + %2ͬѷΪǣһǰΣìܣ֤ϣСûйеı + else if (a==b) continue; %˵ѷ쵥ԪͬһУ˲Ӧڴ + else + raoconnect(p,q)=k;q=q+1; + lengthcat=norm(d3intersection(raoflag(1),:)-d3intersection(raoflag(2),:));%ѷ쵥Ԫ߳ + rao1k=corevsfra(k,:)-d3intersection(raoflag(1),:); + rao1j=corevsfra(j,:)-d3intersection(raoflag(1),:); + rao2=d3intersection(raoflag(1),:)-d3intersection(raoflag(2),:); + %ֱѷ쵥Ԫĵߵľ + disk=norm(cross(rao1k',rao2'))/norm(rao2); + disj=norm(cross(rao1j',rao2'))/norm(rao2); + if kf(i)==0 + hartran=0;hartran_convection=0; + kij = 0; + else + tran1=kf(i)*wf(i)*lengthcat/disk; + tran2=kf(i)*wf(i)*lengthcat/disj; + % hartran=length/(disk+disj);%ȡƽ + hartran=tran1*tran2/(tran1+tran2); + tran1_diff=wf(i)*lengthcat/disk; + tran2_diff=wf(i)*lengthcat/disj; + % hartran=length/(disk+disj);%ȡƽ + hartran_diff=tran1_diff*tran2_diff/(tran1_diff+tran2_diff); + % k_harmony= kf(i); + hartran_convection=kf(i)/(disk+disj)^2; + kij = 2*(Kf(j)^(-1)+Kf(k)^(-1))^(-1); + end + Nff=[Nff; j,k]; + Tff=[Tff;hartran]; + Tff_diff=[Tff_diff;hartran_diff]; + Tff_convection=[Tff_convection;hartran_convection]; + perm_ff = [perm_ff; kij]; + flowArea_ff = [flowArea_ff; wf(i)*lengthcat]; + %ÿѷĵÿߵľ + end + end + p=p+1; + end + connect_infrac{i,1}=raoconnect; + end +end +Nff(1,:)=[]; %ȥһе +Tff(1,:)=[]; +Tff_convection(1,:)=[]; +Tff_diff(1,:)=[]; +perm_ff(1,:)=[]; +flowArea_ff(1,:)=[]; +%% ͬһеѷ쵥Ԫʼ +nmc=size(matrixvsfra,1); +Nmff=zeros(1,2); +Tmff=zeros(1,1); +Tmff_diff=zeros(1,1); +Tmff_convection=zeros(1,1); +perm_mff=zeros(1,1); +flowArea_mff=zeros(1,1); +for i=1:nmc + if(norm(matrixvsfra(i,:))~=0) + indice=find(matrixvsfra(i,:)~=0); + n=size(indice,2); + if (n>1) %ʱҪȡļ㷨 + % lengthvsfra(matrixvsfra(i,indice))./disvsfra(matrixvsfra(i,indice)) + for j=1:n-1 + for k=(j+1):n + Nmff=[Nmff;matrixvsfra(i,indice(j)), matrixvsfra(i,indice(k))]; + % ʱļ㷽ʽÿѷƽڸûеѷ쵥Ԫƽ + fc1=matrixvsfra(i,indice(j)); fc2=matrixvsfra(i,indice(k)); + allfc=matrixvsfra(i,1:n); sumtran=sum(fcff{1,7}(allfc));sumtran_no_perm=sum(fcff{1,9}(allfc)); + if sumtran==0 + Tmff=[Tmff; 0];Tmff_convection=[Tmff_convection;0]; + Tmff_diff=[Tmff_diff;0]; + perm_mff=[perm_mff;0];flowArea_mff=[flowArea_mff;(avfracFaceArea(fc1)+avfracFaceArea(fc2))/2]; + else + Tmff=[Tmff; fcff{1,7}(fc1)*fcff{1,7}(fc2)/sumtran]; + Tmff_diff=[Tmff_diff;fcff{1,9}(fc1)*fcff{1,9}(fc2)/sumtran_no_perm]; + perm_mff=[perm_mff;(Kf(fc1)^(-1)+Kf(fc2)^(-1))^(-1)]; + flowArea_mff=[flowArea_mff;(avfracFaceArea(fc1)+avfracFaceArea(fc2))/2]; + end + end + end + end + end +end +Nmff(1,:)=[]; %ȥͷ +Tmff(1,:)=[]; +% Tmff =Tmff*0; +Tmff_convection(1,:)=[]; +Tmff_diff(1,:)=[]; +perm_mff(1,:)=[]; +flowArea_mff(1,:)=[]; +% N = [N; Nmff+nmc]; +% T = [T; Tmff]; + +%% ϵ +nmc= nx * ny*nz;%Ŀ +nfc=size(fracnumber,1);%ѷ쵥ԪĿ +rpt = [ones(nmc, 1); zeros(nfc, 1)]; +% r.rpt = rpt; +nmm = (nx-1)*ny*nz+(ny-1)*nx*nz+(nz-1)*nx*ny;%nmmǻ֮彻 +% r.nf = nmm + nff;%nffѷ쵥Ԫ֮彻 +Kx=kx.*ones(nmc,1); +Ky=ky.*ones(nmc,1); +Kz=kz.*ones(nmc,1); +N = zeros(nmm, 2);%洢֮彻 +T = zeros(nmm, 1);%洢ӦNĴϵ +T_convection = zeros(nmm, 1); +T_diff = zeros(nmm, 1); +perm = zeros(nmm, 1); +flowArea = zeros(nmm, 1); +c = 0; +for k= 1 : nz + for j = 1 : ny + for i = 1 : nx - 1 + c = c + 1; + index = i + (j - 1) * nx + (k - 1) * nx * ny; + indexn = index + 1; + N(c, :) = [index, indexn]; + T(c) = 2 * dzv(index)*dyv(index)*Kx(index)*Kx(indexn)*NTG(index)*NTG(indexn)/(Kx(index)*dxv(indexn)*NTG(index) + Kx(indexn)*dxv(index)*NTG(indexn)); + T_convection(c) = 2/(1/Kx(index)+1/Kx(indexn))/(dxv(indexn)+dxv(index)); + perm(c)=2*Kx(index)*Kx(indexn)/(Kx(index) + Kx(indexn)); + T_diff(c)=dzv(index)*dyv(index)/(2/(1/dxv(indexn)+1/dxv(index))); + flowArea(c)=dzv(index)*dyv(index); + end + end +end + +for k= 1 : nz + for i = 1 : nx + for j = 1 : ny - 1 + c = c + 1; + index = i + (j - 1) * nx + (k - 1) * nx * ny; + indexn = index + nx; + N(c, :) = [index, indexn]; + T(c) = 2 * dzv(index)*dxv(index)*Ky(index)*Ky(indexn)/(Ky(index)*dyv(indexn) + Ky(indexn)*dyv(index)); + T_convection(c) = 2/(1/Ky(index)+1/Ky(indexn))/(dyv(indexn)+dyv(index)); + perm(c)=2*Ky(index)*Ky(indexn)/(Ky(index) + Ky(indexn)); + T_diff(c)=dzv(index)*dxv(index)/(2/(1/dyv(indexn)+1/dyv(index))); + flowArea(c)=dzv(index)*dxv(index); + end + end +end + +for i = 1 : nx + for j = 1 : ny + for k= 1: nz-1 + c = c + 1; + index = i + (j - 1) * nx + (k - 1) * nx * ny; + indexn = index + nx * ny; + N(c, :) = [index, index + nx*ny]; + T(c) = 2 * dxv(index)*dyv(index)*Kz(index)*Kz(indexn)/(Kz(index)*dzv(indexn) + Kz(indexn)*dzv(index)); + T_convection(c) = 2/(1/Kz(index)+1/Kz(indexn))/(dzv(indexn)+dzv(index)); + perm(c)=2*Kz(index)*Kz(indexn)/(Kz(index) + Kz(indexn)); + T_diff(c)=dxv(index)*dyv(index)/(2/(1/dzv(indexn)+1/dzv(index))); + flowArea(c)=dxv(index)*dyv(index); + end + end +end +%% 2014ķΪƵʽ +syms x y z; +Ninterflow=[]; +Tinterflow=[]; +Tinterflow_convection=[]; +Tinterflow_diff=[]; +cell_divided_by_fracture_flag = []; +perm_interflow=[]; +flowArea_interflow=[]; +for i=1:nx*ny*nz % + flag = 0; + for j=1:10 + if matrixvsfra(i,j)~=0 %this matrix cell contains a fracture cell + flag = flag + 1; + Ninterflow=[Ninterflow;i,matrixvsfra(i,j)+nmc]; + kcell=(kx(i)*ky(i)*kz(i))^(1/3); + % kcell = sqrt(10*100)*1e-3; + Knnc=kcell*Kf(matrixvsfra(i,j))/(kcell+Kf(matrixvsfra(i,j))); + Annc=areavsfra(matrixvsfra(i,j)); + fracore=corevsfra(matrixvsfra(i,j),:); + matnodes=nodes(i,:); + verco=coord(matnodes,:);norvec=normalvec(matrixvsfra(i,j),:); + matcore=mean(verco);d0=matcore-fracore; + dn=(x+d0(1))*norvec(1)+(y+d0(2))*norvec(2)+(z+d0(3))*norvec(3); + % dn=abs(dn);%ӰֵЧ + dn=sqrt(dn^2); + dn=matlabFunction(dn); + if norvec(1)~=0 && norvec(2)~=0 && norvec(3)~=0 + Dn=integral3(dn,-dxv(i)/2,dxv(i)/2,-dyv(i)/2,dyv(i)/2,-dzv(i)*NTG(i)/2,dzv(i)*NTG(i)/2)/(dxv(i)*dyv(i)*dzv(i)*NTG(i)); + else if norvec(1)~=0 && norvec(2)~=0 + Dn=dzv(i)*NTG(i)*integral2(dn,-dxv(i)/2,dxv(i)/2,-dyv(i)/2,dyv(i)/2)/(dxv(i)*dyv(i)*dzv(i)*NTG(i)); + else if norvec(1)~=0 && norvec(3)~=0 + Dn=dyv(i)*integral2(dn,-dxv(i)/2,dxv(i)/2,-dzv(i)*NTG(i)/2,dzv(i)*NTG(i)/2)/(dxv(i)*dyv(i)*dzv(i)*NTG(i)); + else if norvec(2)~=0 && norvec(3)~=0 + Dn=dxv(i)*integral2(dn,-dyv(i)/2,dyv(i)/2,-dzv(i)*NTG(i)/2,dzv(i)*NTG(i)/2)/(dxv(i)*dyv(i)*dzv(i)*NTG(i)); + else if norvec(1)~=0 + Dn=dyv(i)*dzv(i)*NTG(i)*integral(dn,-dxv(i)/2,dxv(i)/2)/(dxv(i)*dyv(i)*dzv(i)*NTG(i)); + else if norvec(2)~=0 + Dn=dxv(i)*dzv(i)*NTG(i)*integral(dn,-dyv(i)/2,dyv(i)/2)/(dxv(i)*dyv(i)*dzv(i)*NTG(i)); + else if norvec(3)~=0 + Dn=dxv(i)*dyv(i)*integral(dn,-dzv(i)*NTG(i)/2,dzv(i)*NTG(i)/2)/(dxv(i)*dyv(i)*dzv(i)*NTG(i)); + end + end + end + end + end + end + end + % raoT=Knnc*Annc/Dn; + % raoT_convection=2*Knnc/Dn^2; + % Tinterflow=[Tinterflow;raoT]; + % Tinterflow_convection=[Tinterflow_convection;raoT_convection]; + raoT1 = 2*kcell*Annc/Dn; + raoT2 = Kf(matrixvsfra(i,j))*Annc/(Wf(matrixvsfra(i,j))/2); + raoT = (raoT1^-1+raoT2^-1)^-1; + Tinterflow=[Tinterflow;raoT]; + raoT1_conv = kcell/Dn^2; + raoT2_conv = Kf(matrixvsfra(i,j))/(Wf(matrixvsfra(i,j))/2)^2; + raoT_convection = (raoT1_conv^-1+raoT2_conv^-1)^-1; + Tinterflow_convection=[Tinterflow_convection;raoT_convection]; + Tinterflow_diff=[Tinterflow_diff;((2*Annc/Dn)^-1+(Annc/(Wf(matrixvsfra(i,j))/2))^-1)^-1;]; + perm_mf_this = kcell*Kf(matrixvsfra(i,j))/(kcell+Kf(matrixvsfra(i,j))); + perm_interflow = [perm_interflow; perm_mf_this]; + flowArea_interflow = [flowArea_interflow; Annc]; + end + end + if flag >0 + cell_divided_by_fracture_flag = [cell_divided_by_fracture_flag; i]; + end +end +%% 2014ķΪƵʽ +% syms x y z; +% Ninterflow=[]; +% Tinterflow=[]; +% for i=1:nx*ny*nz % +% for j=1:10 +% if matrixvsfra(i,j)~=0 %this matrix cell contains a fracture cell +% Ninterflow=[Ninterflow;i,matrixvsfra(i,j)+nmc]; +% kcell=(kx(i)*ky(i)*kz(i))^(1/3); +% K1=Kf(matrixvsfra(i,j));d1=Wf(matrixvsfra(i,j)); +% K2=kffl(matrixvsfra(i,j));d2=dffl(matrixvsfra(i,j)); +% Annc=2*areavsfra(matrixvsfra(i,j)); +% fracore=corevsfra(matrixvsfra(i,j),:); +% matnodes=nodes(i,:); +% verco=coord(matnodes,:);norvec=normalvec(matrixvsfra(i,j),:); +% matcore=mean(verco);d0=matcore-fracore; +% dn=(x+d0(1))*norvec(1)+(y+d0(2))*norvec(2)+(z+d0(3))*norvec(3); +% % dn=abs(dn);%ӰֵЧ +% dn=sqrt(dn^2); +% dn=matlabFunction(dn); +% if norvec(1)~=0 && norvec(2)~=0 && norvec(3)~=0 +% Dn=integral3(dn,-dxv(i)/2,dxv(i)/2,-dyv(i)/2,dyv(i)/2,-dzv(i)*NTG(i)/2,dzv(i)*NTG(i)/2)/(dxv(i)*dyv(i)*dzv(i)*NTG(i)); +% else if norvec(1)~=0 && norvec(2)~=0 +% Dn=dzv(i)*NTG(i)*integral2(dn,-dxv(i)/2,dxv(i)/2,-dyv(i)/2,dyv(i)/2)/(dxv(i)*dyv(i)*dzv(i)*NTG(i)); +% else if norvec(1)~=0 && norvec(3)~=0 +% Dn=dyv(i)*integral2(dn,-dxv(i)/2,dxv(i)/2,-dzv(i)*NTG(i)/2,dzv(i)*NTG(i)/2)/(dxv(i)*dyv(i)*dzv(i)*NTG(i)); +% else if norvec(2)~=0 && norvec(3)~=0 +% Dn=dxv(i)*integral2(dn,-dyv(i)/2,dyv(i)/2,-dzv(i)*NTG(i)/2,dzv(i)*NTG(i)/2)/(dxv(i)*dyv(i)*dzv(i)*NTG(i)); +% else if norvec(1)~=0 +% Dn=dyv(i)*dzv(i)*NTG(i)*integral(dn,-dxv(i)/2,dxv(i)/2)/(dxv(i)*dyv(i)*dzv(i)*NTG(i)); +% else if norvec(2)~=0 +% Dn=dxv(i)*dzv(i)*NTG(i)*integral(dn,-dyv(i)/2,dyv(i)/2)/(dxv(i)*dyv(i)*dzv(i)*NTG(i)); +% else if norvec(3)~=0 +% Dn=dxv(i)*dyv(i)*integral(dn,-dzv(i)*NTG(i)/2,dzv(i)*NTG(i)/2)/(dxv(i)*dyv(i)*dzv(i)*NTG(i)); +% end +% end +% end +% end +% end +% end +% end +% raoT=((Kcell*Annc/(Dn-d2))^(-1)+(K2*Annc/d2)^(-1)+(K1*Annc/d1)^(-1))^(-1); +% Tinterflow=[Tinterflow;raoT]; +% end +% end +% end + +%% ľֱ +matrixflag = [ones(size(T,1),1); zeros(size(Tmff,1),1); zeros(size(Tff,1),1); ones(size(Tinterflow,1),1);]; +N = [N; Nmff+nmc; Nff+nmc;Ninterflow;]; +T = [T; Tmff; Tff;Tinterflow;]; +T_convection = [T_convection;Tmff_convection; Tff_convection;Tinterflow_convection;]; +T_diff = [T_diff;Tmff_diff; Tff_diff;Tinterflow_diff;]; +perm = [perm; perm_mff; perm_ff;perm_interflow; ]; +flowArea = [flowArea; flowArea_mff; flowArea_ff;flowArea_interflow;]; +% +% deleted_rows = []; +% for i = 1:size(N,1) +% if ismember(N(i,1),invalid_grids) || ismember(N(i,2),invalid_grids) +% deleted_rows = [deleted_rows; i]; +% end +% end +% N(deleted_rows,:) = []; +% T(deleted_rows,:) = 0; +% T_convection(deleted_rows,:) = 0; +% T_diff(deleted_rows,:) = 0; +% perm(deleted_rows,:) = 0; +% flowArea(deleted_rows,:) = 0; +% nex=size(N,1); +%% תCMGECLIPSEм +% [ Data_for_ECLIPSE ] = pEDFM_to_CMG_horizontalFractureWell(dxv,dyv,dzv,kx,ky,kz,pori,Kf,Wf,vf,porf,N,T); +% [ Data_for_ECLIPSE ] = pEDFM_to_CMG_horizontalFractureWell_net_pay(dxv,dyv,dzv,kx,ky,kz,pori,Kf,Wf,vf,porf,N,T); +end diff --git a/core functions/preprocess/about_grid/connections_PEDFM.m b/core functions/preprocess/about_grid/connections_PEDFM.m new file mode 100644 index 0000000..dd6d2ad --- /dev/null +++ b/core functions/preprocess/about_grid/connections_PEDFM.m @@ -0,0 +1,701 @@ +function [ matrixvsfra,connectmf,fracnumber,fracstart,corevsfra,connect_infrac,N,T,zf,fcinff,vf,porf,fcff] = connections_PEDFM( fracturemesh,pointvsregion,raopoint,f,nf,nx,ny,nz,kx,ky,kz,kf,wf,Porf,dxv,dyv,dzv,coord,nodes,NTG,addflag ) +% úԸѷţ洢ӹϵʣǰĹؼ +% ͬڶάǶʽɢѷģͣάģУѷǶάƽ棬֮ӹϵӣ +%ܼ򵥵ôӻжڣѷزڣڣѷȴһ +%ԭȥȷconnectionsȡ· +%һ:xinkȥк󣬰θijѷţͬʱ洢ѷڵĻ +%ڶ:洢ÿѷ߽磬߽糤ȣĵ꣬ĵ㵽߽ľ룬Ϊ׼ +%:ѷ˳򣬰ձ߽ͬı߽磬ѷڵ +%matrixvsfraаѷŵ +%fracnumberűʾѷţݱʾĵ +%areavsfraűʾѷţݱʾѷ +%ÿһߣȻ˳򷴹һ +%lengthvsfraűʾѷţݱʾѷĸ߳ +%corevsfraűʾѷţݱʾѷ +%disvsfraűʾѷţݱʾѷĵߵľ +matrixvsfra=zeros(nx*ny*nz,10);%Ϊ˼ٸþĴСʵһУһ㲻г10ѷ +fracnumber=zeros(1000,20);%ʵѷһ㲻ᳬ1000Ҳɸʵı +%m=size(xink,1); +rownum=zeros(nf,1); +for i=1:nf +rownum(i)=size(fracturemesh{i,1},1); +end +%% ѷһţӸӦĻ +q=1; +fracstart=zeros(nf+1,1);%ʾܱУÿѷʼĺ +for j=1:nf + fracstart(j)=q; + numofmesh=pointvsregion{j,1}; +for i=1:1:rownum(j) + if(norm(fracturemesh{j,1}(i,:))~=0) + raoindice=size(fracturemesh{j,1}(i,:),2); + fracnumber(q,1:raoindice)=fracturemesh{j,1}(i,:);%qǸѷ + m=floor((i+(2^addflag(j)-1))/(2^addflag(j))); + indice=find(matrixvsfra(numofmesh(m),:)~=0); +% indice=find(matrixvsfra(numofmesh(i),:)~=0); + if (size(indice,2)==0) xiang=1; + else + rao=max(indice'); + xiang=rao(1)+1; + end + matrixvsfra(numofmesh(m),xiang)=q;%ѷŸӦĻ + q=q+1; + end +end +end +fracstart(nf+1)=q;%ѷ+1 +fracnumber(q:1000,:)=[]; + + +%% ѷ쵥ԪĻɸѡ,д +m=size(matrixvsfra,1); +connectmf=cell(1,4); +% for i=1:m +% if (norm(matrixvsfra(i,:))~=0) +% ConnecS = cell(1,4); +cc = 0; +cl = 1; +for i = 1 : m + %ɸѡѷĻ +% if ~isempty(matrixvsfra(i,:)) + if (norm(matrixvsfra(i,:)))~=0 + cc = cc + 1; + %洢û + connectmf{cc,1} = i; + %Щѷ/ѷ쵥Ԫ˳ + A=matrixvsfra(i,:); + A(A==0)=[]; + connectmf{cc,2} =A; +end +end + +%% һѷѷ߽ȵ +% edgevsfra=cell(nf,1); +normalvec=zeros(q-1,3);%unit +areavsfra=zeros(q-1,1);%q-1ѷ +lengthvsfra=zeros(q-1,10); +Kf=zeros(q-1,10);%ѷ͸ +Wf=zeros(q-1,10);%ѷ쵥Ԫ +corevsfra=zeros(q-1,3); +disvsfra=zeros(q-1,10); +tran=zeros(q-1,10); +avtran=zeros(q-1,1);%ѷƽںļ򻯼 +fcinff=zeros(q-1,1);%ʾѷ쵥Ԫڵѷ +zf=zeros(q-1,1);%ѷ쵥Ԫ߶ȣ±Ϊ׼ +vf=zeros(q-1,1);%ѷ쵥Ԫ +porf=zeros(q-1,1);%ѷ쵥ԪĿ϶ +for i=1:1:q-1 %ѷв + if(norm(fracnumber(i,:))==0) break; + else + for k=2:(nf+1) + if(i0 +for i=1:(q-1) + [dogindex,~]=find(deindex==i); + if length(dogindex)~=0 + newnum(i)=0; + else + [catindex,~]=find(deindex2)||((size(raoflag,2)<2))) continue;%Ϊ͹ΣֻҪѷĹԪ2йߣ + %2ͬѷΪǣһǰΣìܣ֤ϣСûйеı + else if (a==b) continue; %˵ѷ쵥ԪͬһУ˲Ӧڴ + else + raoconnect(p,q)=k;q=q+1; + lengthcat=norm(d3intersection(raoflag(1),:)-d3intersection(raoflag(2),:));%ѷ쵥Ԫ߳ + rao1k=corevsfra(k,:)-d3intersection(raoflag(1),:); + rao1j=corevsfra(j,:)-d3intersection(raoflag(1),:); + rao2=d3intersection(raoflag(1),:)-d3intersection(raoflag(2),:); + %ֱѷ쵥Ԫĵߵľ + disk=norm(cross(rao1k',rao2'))/norm(rao2); + disj=norm(cross(rao1j',rao2'))/norm(rao2); + if Kf(j)==0 || Kf(k)==0 + hartran=0; + else + tran1=Kf(j)*wf(i)*lengthcat/disk; + tran2=Kf(k)*wf(i)*lengthcat/disj; +% hartran=length/(disk+disj);%ȡƽһ + hartran=tran1*tran2/(tran1+tran2); + end + Nff=[Nff; j,k]; + Tff=[Tff;hartran]; + %ÿѷĵÿߵľ + end + end + p=p+1; + end + connect_infrac{i,1}=raoconnect; + end +end +Nff(1,:)=[]; %ȥһе +Tff(1,:)=[]; +%% ͬһеѷ쵥Ԫʼ +nmc=size(matrixvsfra,1); +Nmff=zeros(1,2); +Tmff=zeros(1,1); +for i=1:nmc + if(norm(matrixvsfra(i,:))~=0) + indice=find(matrixvsfra(i,:)~=0); + n=size(indice,2); + if (n>1) %ʱҪȡļ㷨 +% lengthvsfra(matrixvsfra(i,indice))./disvsfra(matrixvsfra(i,indice)) + for j=1:n-1 + for k=(j+1):n + Nmff=[Nmff;matrixvsfra(i,indice(j)), matrixvsfra(i,indice(k))]; + % ʱļ㷽ʽÿѷƽڸûеѷ쵥Ԫƽ + fc1=matrixvsfra(i,indice(j)); fc2=matrixvsfra(i,indice(k)); + allfc=matrixvsfra(i,1:n); sumtran=sum(fcff{1,7}(allfc)); + if sumtran==0 Tmff=[Tmff; 0]; + else + Tmff=[Tmff; fcff{1,7}(fc1)*fcff{1,7}(fc2)/sumtran]; + end + end + end + end + end +end +Nmff(1,:)=[]; %ȥͷ +Tmff(1,:)=[]; +% N = [N; Nmff+nmc]; +% T = [T; Tmff]; + +%% ϵ +nmc=nx * ny*nz;%Ŀ +nfc=size(fracnumber,1);%ѷ쵥ԪĿ +rpt = [ones(nmc, 1); zeros(nfc, 1)]; +% r.rpt = rpt; +nmm = (nx-1)*ny*nz+(ny-1)*nx*nz+(nz-1)*nx*ny;%nmmǻ֮彻 +% r.nf = nmm + nff;%nffѷ쵥Ԫ֮彻 +S_ex=zeros(nmm,1);% 彻 + +Kx=kx.*ones(nmc,1); +Ky=ky.*ones(nmc,1); +Kz=kz.*ones(nmc,1); +N = zeros(nmm, 2);%洢֮彻 +T = zeros(nmm, 1);%洢ӦNĴϵ +c = 0; +for k= 1 : nz +for j = 1 : ny + for i = 1 : nx - 1 + c = c + 1; + index = i + (j - 1) * nx + (k - 1) * nx * ny; + indexn = index + 1; + N(c, :) = [index, indexn]; + T(c) = 2 * dzv(index)*dyv(index)*Kx(index)*Kx(indexn)*NTG(index)*NTG(indexn)/(Kx(index)*dxv(indexn)*NTG(index) + Kx(indexn)*dxv(index)*NTG(indexn)); +% 2 * dzv(index)*dyv(index)*Kx(index)*Kx(indexn)/(Kx(index)*dxv(indexn) + Kx(indexn)*dxv(index)); + S_ex(c)=dzv(index)*dyv(index); + end +end +end + +for k= 1 : nz +for i = 1 : nx + for j = 1 : ny - 1 + c = c + 1; + index = i + (j - 1) * nx + (k - 1) * nx * ny; + indexn = index + nx; + N(c, :) = [index, indexn]; + T(c) = 2 * dzv(index)*dxv(index)*Ky(index)*Ky(indexn)/(Ky(index)*dyv(indexn) + Ky(indexn)*dyv(index)); + S_ex(c)=dzv(index)*dxv(index); + end +end +end + +for i = 1 : nx +for j = 1 : ny + for k= 1: nz-1 + c = c + 1; + index = i + (j - 1) * nx + (k - 1) * nx * ny; + indexn = index + nx * ny; + N(c, :) = [index, index + nx*ny]; + T(c) = 2 * dxv(index)*dyv(index)*Kz(index)*Kz(indexn)/(Kz(index)*dzv(indexn) + Kz(indexn)*dzv(index)); + S_ex(c)=dxv(index)*dyv(index); + end +end +end + + + + +%% 2014ķΪƵʽ +syms x y z; +Ninterflow=[]; +Tinterflow=[]; +for i=1:nx*ny*nz % + for j=1:10 + if matrixvsfra(i,j)~=0 %this matrix cell contains a fracture cell + Ninterflow=[Ninterflow;i,matrixvsfra(i,j)+nmc]; + kcell=(kx(i)*ky(i)*kz(i))^(1/3); + Knnc=kcell*Kf(matrixvsfra(i,j))/(kcell+Kf(matrixvsfra(i,j))); + Annc=areavsfra(matrixvsfra(i,j));% ˴ԭʼǶʽһԭʼ + fracore=corevsfra(matrixvsfra(i,j),:); + matnodes=nodes(i,:); + verco=coord(matnodes,:);norvec=normalvec(matrixvsfra(i,j),:); + matcore=mean(verco);d0=matcore-fracore; + dn=(x+d0(1))*norvec(1)+(y+d0(2))*norvec(2)+(z+d0(3))*norvec(3); +% dn=abs(dn);%ӰֵЧ + dn=sqrt(dn^2); + dn=matlabFunction(dn); + if norvec(1)~=0 && norvec(2)~=0 && norvec(3)~=0 + Dn=integral3(dn,-dxv(i)/2,dxv(i)/2,-dyv(i)/2,dyv(i)/2,-dzv(i)*NTG(i)/2,dzv(i)*NTG(i)/2)/(dxv(i)*dyv(i)*dzv(i)*NTG(i)); + else if norvec(1)~=0 && norvec(2)~=0 + Dn=dzv(i)*NTG(i)*integral2(dn,-dxv(i)/2,dxv(i)/2,-dyv(i)/2,dyv(i)/2)/(dxv(i)*dyv(i)*dzv(i)*NTG(i)); + else if norvec(1)~=0 && norvec(3)~=0 + Dn=dyv(i)*integral2(dn,-dxv(i)/2,dxv(i)/2,-dzv(i)*NTG(i)/2,dzv(i)*NTG(i)/2)/(dxv(i)*dyv(i)*dzv(i)*NTG(i)); + else if norvec(2)~=0 && norvec(3)~=0 + Dn=dxv(i)*integral2(dn,-dyv(i)/2,dyv(i)/2,-dzv(i)*NTG(i)/2,dzv(i)*NTG(i)/2)/(dxv(i)*dyv(i)*dzv(i)*NTG(i)); + else if norvec(1)~=0 + Dn=dyv(i)*dzv(i)*NTG(i)*integral(dn,-dxv(i)/2,dxv(i)/2)/(dxv(i)*dyv(i)*dzv(i)*NTG(i)); + else if norvec(2)~=0 + Dn=dxv(i)*dzv(i)*NTG(i)*integral(dn,-dyv(i)/2,dyv(i)/2)/(dxv(i)*dyv(i)*dzv(i)*NTG(i)); + else if norvec(3)~=0 + Dn=dxv(i)*dyv(i)*integral(dn,-dzv(i)*NTG(i)/2,dzv(i)*NTG(i)/2)/(dxv(i)*dyv(i)*dzv(i)*NTG(i)); + end + end + end + end + end + end + end + % Ϊ޸ +% Dn=0.9; +% Dn=2.5; + Dn=dxv(i)/2; + raoT=Knnc*Annc/Dn; + Tinterflow=[Tinterflow;raoT]; + end + end +end + +%% ͶӰǶʽ +nmc = size(matrixvsfra,1); +%彻ϵѷ쵥ԪͶӰ֮ +S_p=zeros(nmm,1); +% ΪͶӰ¼ӵF-M connections +Nmf_projection=[]; +Tmf_projection=[]; +for i=1:nmc + matnodes=nodes(i,:); + dx_grid=dxv(i); + dy_grid=dyv(i); + dz_grid=dzv(i); + grid_core=mean(coord(matnodes,:));%û + if(norm(matrixvsfra(i,:))~=0) + indice=find(matrixvsfra(i,:)~=0); + n=size(indice,2); + if (n>=1) %Ƚn=1ʱ + selected_face=zeros(1,3); + the_frac_cells=matrixvsfra(i,indice);%ѷ쵥Ԫ + for haihaihai = 1:length(the_frac_cells) + the_frac_cell = the_frac_cells(haihaihai); + which_frac=fcff{1,2}(the_frac_cell,1);%ѷ쵥Ԫڵѷ + core_frac_cell=fcff{1,4}(the_frac_cell,1:3);%ѷ쵥Ԫ + area_frac_cell=fcff{1,8}(the_frac_cell,1);%ѷ쵥Ԫ + rao_struct=[i,the_frac_cell+nmc]; + pos_rao=find_row(rao_struct,Ninterflow); + D_value=core_frac_cell-grid_core;% OF + vector_1=f(5*which_frac-3,:); + vector_2=f(5*which_frac-2,:); + n_vector_1=cross(vector_1,vector_2); + n_vector_2=-cross(vector_1,vector_2); + if (dot(n_vector_1,D_value))>=0 + n_vector=n_vector_1; + else + n_vector=n_vector_2; + end + %ѷ淨 + % xͶӰ + area_frac_cell_x=abs(area_frac_cell*dot([1,0,0],n_vector)/norm(n_vector)); + area_frac_cell_y=abs(area_frac_cell*dot([0,1,0],n_vector)/norm(n_vector)); + area_frac_cell_z=abs(area_frac_cell*dot([0,0,1],n_vector)/norm(n_vector)); +% %% Ϊvalid case޸ +% area_frac_cell_x=10*10; +% area_frac_cell_y=10*10; +% area_frac_cell_z=10*10; + %ѷط΢СƽƣʱٰվԭжϣԱ֤õ + new_core=core_frac_cell+1e-4*n_vector; + % ѷ쵥Ԫڻĵʸ + %x direction + D_value_new=new_core-grid_core; + if D_value_new(1)<=0 + selected_face(1)=3;nei_grid_x=i-1; + else selected_face(1)=4; nei_grid_x=i+1; + end +%% ----------------------% ΪʵpEDFMΪӴ-------------------------------------- + % ΪʵpEDFMΪӴ +% selected_face(1)=4; nei_grid_x=i+1; +%% ----------------------% Ϊ--------------------------------------------------------------- + struc_x=[i,nei_grid_x]; + pos=find_row(struc_x,N); + if size(pos,1)==1 %˵ҪĴϵ + S_p(pos)=S_p(pos)+area_frac_cell_x; + kcell=(kx(i)*ky(i)*kz(i))^(1/3);%͸ + knei=(kx(nei_grid_x)*ky(nei_grid_x)*kz(nei_grid_x))^(1/3);%Ǹ͸ + added_matnodes=nodes(nei_grid_x,:); + nei_grid_core=mean(coord(added_matnodes,:));%û +% Knnc=2*kcell*Kf(the_frac_cell)/(kcell+Kf(the_frac_cell));%ƽ +% dis_added=norm(nei_grid_core-core_frac_cell); +% T_added=Knnc*area_frac_cell_x/dis_added; + % һַʽ㼸 +% dis_added=norm(nei_grid_core-core_frac_cell); + dis_added=abs(sum((nei_grid_core-core_frac_cell).*[1,0,0],2)); + if Kf(the_frac_cell)==0 + T_added=0; + else + % ѷ쵥Ԫ + Geof=Kf(the_frac_cell)*area_frac_cell/(Wf(the_frac_cell)/2); + % ڻѷ쵥Ԫ + Geofnei=knei*area_frac_cell_x/dis_added; + % ûѷ쵥Ԫ + Geofcell=Tinterflow(pos_rao,1); + T_added=1/(1/Geofnei+1/Geof); +% T_added=1/(1/Geofnei+1/Geofcell+1/Geof); +% T_added=1/(1/Geofcell+1/Geof); +% T_added=0;% +% T_added=0;% +% T_added=0.0039604;% + end + Nmf_projection=[Nmf_projection;nei_grid_x,the_frac_cell+nmc]; + Tmf_projection=[Tmf_projection;T_added]; + end + + %y direction + if D_value_new(2)<=0 + selected_face(2)=2;nei_grid_y=i-nx; + else selected_face(2)=5;nei_grid_y=i+nx; + end +%% ----------------------% ΪʵpEDFMΪӴ-------------------------------------- + % ΪʵpEDFMΪӴ +% selected_face(2)=5; nei_grid_y=i+nx; +%% ----------------------% Ϊ--------------------------------------------------------------- + struc_y=[i,nei_grid_y]; + pos=find_row(struc_y,N); + if size(pos,1)==1 %˵ҪĴϵ + S_p(pos)=S_p(pos)+area_frac_cell_y; + kcell=(kx(i)*ky(i)*kz(i))^(1/3);%͸ + knei=(kx(nei_grid_y)*ky(nei_grid_y)*kz(nei_grid_y))^(1/3);%Ǹ͸ + added_matnodes=nodes(nei_grid_y,:); + nei_grid_core=mean(coord(added_matnodes,:));%û +% Knnc=2*kcell*Kf(the_frac_cell)/(kcell+Kf(the_frac_cell));%ƽ +% dis_added=norm(nei_grid_core-core_frac_cell); +% T_added=Knnc*area_frac_cell_y/dis_added; + % һַʽ㼸 + dis_added=norm(nei_grid_core-core_frac_cell); + if Kf(the_frac_cell)==0 + T_added=0; + else + % ѷ쵥Ԫ + Geof=Kf(the_frac_cell)*area_frac_cell/(Wf(the_frac_cell)/2); + % ڻѷ쵥Ԫ + Geofnei=knei*area_frac_cell_y/dis_added; + % ûѷ쵥Ԫ + Geofcell=Tinterflow(pos_rao,1); + + T_added=1/(1/Geofnei+1/Geofcell+1/Geof); +% T_added=0;% +% T_added=0.002;% +% T_added=0.0039604;% + end + Nmf_projection=[Nmf_projection;nei_grid_y,the_frac_cell+nmc]; + Tmf_projection=[Tmf_projection;T_added]; + end + + + % z direction + if D_value_new(3)<=0 + selected_face(3)=1;nei_grid_z=i-nx*ny; + else selected_face(3)=6;nei_grid_z=i+nx*ny; + end +%% ----------------------% ΪʵpEDFMΪӴ-------------------------------------- + % ΪʵpEDFMΪӴ + selected_face(3)=6;nei_grid_z=i+nx*ny; +%% ----------------------% Ϊ--------------------------------------------------------------- +% nei_grid_z=i-nx*ny; + struc_z=[i,nei_grid_z]; + pos=find_row(struc_z,N); + if size(pos,1)==1 %˵ҪĴϵ + S_p(pos)=S_p(pos)+area_frac_cell_z; + kcell=(kx(i)*ky(i)*kz(i))^(1/3);%͸ + knei=(kx(nei_grid_z)*ky(nei_grid_z)*kz(nei_grid_z))^(1/3);%Ǹ͸ + added_matnodes=nodes(nei_grid_z,:); + nei_grid_core=mean(coord(added_matnodes,:));%û +% Knnc=2*kcell*Kf(the_frac_cell)/(kcell+Kf(the_frac_cell));%ƽ +% dis_added=norm(nei_grid_core-core_frac_cell); +% T_added=Knnc*area_frac_cell_z/dis_added; + % һַʽ㼸 + dis_added=norm(nei_grid_core-core_frac_cell); + if Kf(the_frac_cell)==0 + T_added=0; + else + % ѷ쵥Ԫ + Geof=Kf(the_frac_cell)*area_frac_cell/(Wf(the_frac_cell)/2); + % ڻѷ쵥Ԫ + Geofnei=knei*area_frac_cell_z/dis_added; + % ûѷ쵥Ԫ + Geofcell=Tinterflow(pos_rao,1); + + T_added=1/(1/Geofnei+1/Geofcell+1/Geof); +% T_added=0;% +% T_added=0.0;% +% T_added=0.0039604;% + end + Nmf_projection=[Nmf_projection;nei_grid_z,the_frac_cell+nmc]; + Tmf_projection=[Tmf_projection;T_added]; + end +% %% ӵ +% if D_value_new(1)>0 +% selected_face(1)=3;nei_grid_x=i-1; +% else selected_face(1)=4; nei_grid_x=i+1; +% end +% struc_x=[i,nei_grid_x]; +% pos=find_row(struc_x,N); +% if size(pos,1)==1 %˵ҪĴϵ +% S_p(pos)=S_p(pos)+area_frac_cell_x; +% kcell=(kx(i)*ky(i)*kz(i))^(1/3);%͸ +% knei=(kx(nei_grid_x)*ky(nei_grid_x)*kz(nei_grid_x))^(1/3);%Ǹ͸ +% added_matnodes=nodes(nei_grid_x,:); +% nei_grid_core=mean(coord(added_matnodes,:));%û +% % Knnc=2*kcell*Kf(the_frac_cell)/(kcell+Kf(the_frac_cell));%ƽ +% % dis_added=norm(nei_grid_core-core_frac_cell); +% % T_added=Knnc*area_frac_cell_x/dis_added; +% % һַʽ㼸 +% dis_added=norm(nei_grid_core-core_frac_cell); +% if Kf(the_frac_cell)==0 +% T_added=0; +% else +% % ѷ쵥Ԫ +% Geof=Kf(the_frac_cell)*area_frac_cell/(Wf(the_frac_cell)/2); +% % ڻѷ쵥Ԫ +% Geofnei=knei*area_frac_cell_x/dis_added; +% % ûѷ쵥Ԫ +% Geofcell=Tinterflow(pos_rao,1); +% +% T_added=1/(1/Geofnei+1/Geofcell+1/Geof); +% % T_added=0;% +% % T_added=0;% +% % T_added=0.0039604;% +% end +% Nmf_projection=[Nmf_projection;nei_grid_x,the_frac_cell+nmc]; +% Tmf_projection=[Tmf_projection;T_added]; +% end +% +% %y direction +% if D_value_new(2)>0 +% selected_face(1)=2;nei_grid_y=i-nx; +% else selected_face(1)=5;nei_grid_y=i+nx; +% end +% struc_y=[i,nei_grid_y]; +% pos=find_row(struc_y,N); +% if size(pos,1)==1 %˵ҪĴϵ +% S_p(pos)=S_p(pos)+area_frac_cell_y; +% kcell=(kx(i)*ky(i)*kz(i))^(1/3);%͸ +% knei=(kx(nei_grid_y)*ky(nei_grid_y)*kz(nei_grid_y))^(1/3);%Ǹ͸ +% added_matnodes=nodes(nei_grid_y,:); +% nei_grid_core=mean(coord(added_matnodes,:));%û +% % Knnc=2*kcell*Kf(the_frac_cell)/(kcell+Kf(the_frac_cell));%ƽ +% % dis_added=norm(nei_grid_core-core_frac_cell); +% % T_added=Knnc*area_frac_cell_y/dis_added; +% % һַʽ㼸 +% dis_added=norm(nei_grid_core-core_frac_cell); +% if Kf(the_frac_cell)==0 +% T_added=0; +% else +% % ѷ쵥Ԫ +% Geof=Kf(the_frac_cell)*area_frac_cell/(Wf(the_frac_cell)/2); +% % ڻѷ쵥Ԫ +% Geofnei=knei*area_frac_cell_y/dis_added; +% % ûѷ쵥Ԫ +% Geofcell=Tinterflow(pos_rao,1); +% +% T_added=1/(1/Geofnei+1/Geofcell+1/Geof); +% % T_added=0;% +% % T_added=0.002;% +% % T_added=0.0039604;% +% end +% Nmf_projection=[Nmf_projection;nei_grid_y,the_frac_cell+nmc]; +% Tmf_projection=[Tmf_projection;T_added]; +% end +% +% +% % z direction +% if D_value_new(3)>0 +% selected_face(1)=1;nei_grid_z=i-nx*ny; +% else selected_face(1)=6;nei_grid_z=i+nx*ny; +% end +% % nei_grid_z=i-nx*ny; +% struc_z=[i,nei_grid_z]; +% pos=find_row(struc_z,N); +% if size(pos,1)==1 %˵ҪĴϵ +% S_p(pos)=S_p(pos)+area_frac_cell_z; +% kcell=(kx(i)*ky(i)*kz(i))^(1/3);%͸ +% knei=(kx(nei_grid_z)*ky(nei_grid_z)*kz(nei_grid_z))^(1/3);%Ǹ͸ +% added_matnodes=nodes(nei_grid_z,:); +% nei_grid_core=mean(coord(added_matnodes,:));%û +% % Knnc=2*kcell*Kf(the_frac_cell)/(kcell+Kf(the_frac_cell));%ƽ +% % dis_added=norm(nei_grid_core-core_frac_cell); +% % T_added=Knnc*area_frac_cell_z/dis_added; +% % һַʽ㼸 +% dis_added=norm(nei_grid_core-core_frac_cell); +% if Kf(the_frac_cell)==0 +% T_added=0; +% else +% % ѷ쵥Ԫ +% Geof=Kf(the_frac_cell)*area_frac_cell/(Wf(the_frac_cell)/2); +% % ڻѷ쵥Ԫ +% Geofnei=knei*area_frac_cell_z/dis_added; +% % ûѷ쵥Ԫ +% Geofcell=Tinterflow(pos_rao,1); +% +% T_added=1/(1/Geofnei+1/Geofcell+1/Geof); +% % T_added=0;% +% % T_added=0.0;% +% % T_added=0.0039604;% +% end +% Nmf_projection=[Nmf_projection;nei_grid_z,the_frac_cell+nmc]; +% Tmf_projection=[Tmf_projection;T_added]; +% end + + + end + end + end +end +%% ӵĸĽ +im_N=[]; +im_T=[]; +% q=length(Kf)+1; +% for i=1:(q-1)/2%q-1ѷ쵥Ԫ +% for j=(q-1)/2+1:(q-1) +% if abs(corevsfra(j,1)-corevsfra(i,1))<=1e-2 +% im_N=[im_N;i+nmc,j+nmc]; +% % im_T=[im_T;0]; +% im_T=[im_T;0.0039604]; +% % im_T=[im_T;(((Kf(i))^(-1)+(1e-3)^(-1)+(1e-3)^(-1)+(Kf(j))^(-1))/4)^(-1)*2*2/0.4]; +% % +% end +% end +% end +%% ͶӰ䴫 +for i=1:nmm + % Ϊֵûס + if (S_ex(i)-S_p(i))/S_ex(i)<=1e-2 + T(i)=0; + else + T(i)= T(i)*(S_ex(i)-S_p(i))/S_ex(i); + end +end +%% ľֱ +N = [N; Nmff+nmc; Nff+nmc;Ninterflow;Nmf_projection;im_N]; +T = [T; Tmff; Tff;Tinterflow;Tmf_projection;im_T]; +% N = [N; Nmff+nmc; Nff+nmc;Ninterflow;Nmf_projection]; +% T = [T; Tmff; Tff;Tinterflow;Tmf_projection]; +nex=size(N,1); +end diff --git a/core functions/preprocess/about_grid/connections_unstructured_EDFM.m b/core functions/preprocess/about_grid/connections_unstructured_EDFM.m new file mode 100644 index 0000000..3b4cebb --- /dev/null +++ b/core functions/preprocess/about_grid/connections_unstructured_EDFM.m @@ -0,0 +1,495 @@ +function [ matrixvsfra,connectmf,fracnumber,fracstart,corevsfra,connect_infrac,N,T,zf,fcinff,vf,porf,fcff,T_convection,mat_frac,number_of_adding,cell_divided_by_fracture_flag] = connections_unstructured_EDFM( fracturemesh,pointvsregion,raopoint,f,nf,nx,ny,nz,kx,ky,kz,kf,wf,Porf,dxv,dyv,dzv,coord,nodes,NTG,addflag ) +% úԸѷţ洢ӹϵʣǰĹؼ +% ͬڶάǶʽɢѷģͣάģУѷǶάƽ棬֮ӹϵӣ +%ܼ򵥵ôӻжڣѷزڣڣѷȴһ +%ԭȥȷconnectionsȡ· +%һ:xinkȥк󣬰θijѷţͬʱ洢ѷڵĻ +%ڶ:洢ÿѷ߽磬߽糤ȣĵ꣬ĵ㵽߽ľ룬Ϊ׼ +%:ѷ˳򣬰ձ߽ͬı߽磬ѷڵ +%matrixvsfraаѷŵ +%fracnumberűʾѷţݱʾĵ +%areavsfraűʾѷţݱʾѷ +%ÿһߣȻ˳򷴹һ +%lengthvsfraűʾѷţݱʾѷĸ߳ +%corevsfraűʾѷţݱʾѷ +%disvsfraűʾѷţݱʾѷĵߵľ +matrixvsfra=zeros(nx*ny*nz,10);%Ϊ˼ٸþĴСʵһУһ㲻г10ѷ +fracnumber=zeros(1000,20);%ʵѷһ㲻ᳬ1000Ҳɸʵı +%m=size(xink,1); +rownum=zeros(nf,1); +for i=1:nf +rownum(i)=size(fracturemesh{i,1},1); +end +%% ѷһţӸӦĻ +q=1; +fracstart=zeros(nf+1,1);%ʾܱУÿѷʼĺ +for j=1:nf + fracstart(j)=q; + numofmesh=pointvsregion{j,1}; +for i=1:1:rownum(j) + if(norm(fracturemesh{j,1}(i,:))~=0) + raoindice=size(fracturemesh{j,1}(i,:),2); + fracnumber(q,1:raoindice)=fracturemesh{j,1}(i,:);%qǸѷ +% m=floor((i+(2^nf)-1)/(2^nf)); + m=floor((i+(2^addflag(j)-1))/(2^addflag(j))); + indice=find(matrixvsfra(numofmesh(m),:)~=0); +% indice=find(matrixvsfra(numofmesh(i),:)~=0); + if (size(indice,2)==0) xiang=1; + else + rao=max(indice'); + xiang=rao(1)+1; + end + matrixvsfra(numofmesh(m),xiang)=q;%ѷŸӦĻ + q=q+1; + end +end +end +fracstart(nf+1)=q;%ѷ+1 +fracnumber(q:1000,:)=[]; + + +%% ѷ쵥ԪĻɸѡ,д +m=size(matrixvsfra,1); +mat_frac=[]; +connectmf=cell(1,4); +% for i=1:m +% if (norm(matrixvsfra(i,:))~=0) +% ConnecS = cell(1,4); +cc = 0; +cl = 1; +for i = 1 : m + %ɸѡѷĻ +% if ~isempty(matrixvsfra(i,:)) + if (norm(matrixvsfra(i,:)))~=0 + cc = cc + 1; + %洢û + connectmf{cc,1} = i; + mat_frac=[mat_frac;i]; + %Щѷ/ѷ쵥Ԫ˳ + A=matrixvsfra(i,:); + A(A==0)=[]; + connectmf{cc,2} =A; +end +end + +%% һѷѷ߽ȵ +% edgevsfra=cell(nf,1); +% Kffl=funtion_data.Kffl; +% Dffl=funtion_data.Dffl; +% kffl=zeros(q-1,1); +% dffl=zeros(q-1,1); +normalvec=zeros(q-1,3);%unit +areavsfra=zeros(q-1,1);%q-1ѷ +lengthvsfra=zeros(q-1,10); +Kf=zeros(q-1,10);%ѷ͸ +corevsfra=zeros(q-1,3); +disvsfra=zeros(q-1,10); +tran=zeros(q-1,10); +avtran=zeros(q-1,1);%ѷƽںļ򻯼 +ave_disvsfra=zeros(q-1,1); +fcinff=zeros(q-1,1);%ʾѷ쵥Ԫڵѷ +zf=zeros(q-1,1);%ѷ쵥Ԫ߶ȣ±Ϊ׼ +vf=zeros(q-1,1);%ѷ쵥Ԫ +porf=zeros(q-1,1);%ѷ쵥ԪĿ϶ +for i=1:1:q-1 %ѷв + if(norm(fracnumber(i,:))==0) break; + else + for k=2:(nf+1) + if(i0 +for i=1:(q-1) + [dogindex,~]=find(deindex==i); + if length(dogindex)~=0 + newnum(i)=0; + else + [catindex,~]=find(deindex2)||((size(raoflag,2)<2))) continue;%Ϊ͹ΣֻҪѷĹԪ2йߣ + %2ͬѷΪǣһǰΣìܣ֤ϣСûйеı + else if (a==b) continue; %˵ѷ쵥ԪͬһУ˲Ӧڴ + else + raoconnect(p,q)=k;q=q+1; + lengthcat=norm(d3intersection(raoflag(1),:)-d3intersection(raoflag(2),:));%ѷ쵥Ԫ߳ + rao1k=corevsfra(k,:)-d3intersection(raoflag(1),:); + rao1j=corevsfra(j,:)-d3intersection(raoflag(1),:); + rao2=d3intersection(raoflag(1),:)-d3intersection(raoflag(2),:); + %ֱѷ쵥Ԫĵߵľ + disk=norm(cross(rao1k',rao2'))/norm(rao2); + disj=norm(cross(rao1j',rao2'))/norm(rao2); + if kf(i)==0 hartran=0;hartran_convection=0; + else + tran1=kf(i)*wf(i)*lengthcat/disk; + tran2=kf(i)*wf(i)*lengthcat/disj; +% hartran=length/(disk+disj);%ȡƽ + hartran=tran1*tran2/(tran1+tran2); + k_harmony= kf(i); + hartran_convection=kf(i)/(disk+disj)^2; + end + Nff=[Nff; j,k]; + Tff=[Tff;hartran]; + Tff_convection=[Tff_convection;hartran_convection]; + %ÿѷĵÿߵľ + end + end + p=p+1; + end + connect_infrac{i,1}=raoconnect; + end +end +Nff(1,:)=[]; %ȥһе +Tff(1,:)=[]; +Tff_convection(1,:)=[]; +%% ͬһеѷ쵥Ԫʼ +nmc=size(matrixvsfra,1); +Nmff=zeros(1,2); +Tmff=zeros(1,1); +Tmff_convection=zeros(1,1); +for i=1:nmc + if(norm(matrixvsfra(i,:))~=0) + indice=find(matrixvsfra(i,:)~=0); + n=size(indice,2); + if (n>1) %ʱҪȡļ㷨 +% lengthvsfra(matrixvsfra(i,indice))./disvsfra(matrixvsfra(i,indice)) + for j=1:n-1 + for k=(j+1):n + Nmff=[Nmff;matrixvsfra(i,indice(j)), matrixvsfra(i,indice(k))]; + % ʱļ㷽ʽÿѷƽڸûеѷ쵥Ԫƽ + fc1=matrixvsfra(i,indice(j)); fc2=matrixvsfra(i,indice(k)); + allfc=matrixvsfra(i,1:n); sumtran=sum(fcff{1,7}(allfc)); + if sumtran==0 Tmff=[Tmff; 0];Tmff_convection=[Tmff_convection;0]; + else + Tmff=[Tmff; fcff{1,7}(fc1)*fcff{1,7}(fc2)/sumtran]; + end + end + end + end + end +end +Nmff(1,:)=[]; %ȥͷ +Tmff(1,:)=[]; +Tmff_convection(1,:)=[]; +% N = [N; Nmff+nmc]; +% T = [T; Tmff]; + +%% ϵ +nmc=nx * ny*nz;%Ŀ +nfc=size(fracnumber,1);%ѷ쵥ԪĿ +rpt = [ones(nmc, 1); zeros(nfc, 1)]; +% r.rpt = rpt; +nmm = (nx-1)*ny*nz+(ny-1)*nx*nz+(nz-1)*nx*ny;%nmmǻ֮彻 +% r.nf = nmm + nff;%nffѷ쵥Ԫ֮彻 +Kx=kx.*ones(nmc,1); +Ky=ky.*ones(nmc,1); +Kz=kz.*ones(nmc,1); +N = zeros(nmm, 2);%洢֮彻 +T = zeros(nmm, 1);%洢ӦNĴϵ +T_convection = zeros(nmm, 1); +c = 0; +for k= 1 : nz +for j = 1 : ny + for i = 1 : nx - 1 + c = c + 1; + index = i + (j - 1) * nx + (k - 1) * nx * ny; + indexn = index + 1; + N(c, :) = [index, indexn]; + T(c) = 2 * dzv(index)*dyv(index)*Kx(index)*Kx(indexn)*NTG(index)*NTG(indexn)/(Kx(index)*dxv(indexn)*NTG(index) + Kx(indexn)*dxv(index)*NTG(indexn)); + T_convection(c) = 2/(1/Kx(index)+1/Kx(indexn))/(dxv(indexn)+dxv(index)); + end +end +end + +for k= 1 : nz +for i = 1 : nx + for j = 1 : ny - 1 + c = c + 1; + index = i + (j - 1) * nx + (k - 1) * nx * ny; + indexn = index + nx; + N(c, :) = [index, indexn]; + T(c) = 2 * dzv(index)*dxv(index)*Ky(index)*Ky(indexn)/(Ky(index)*dyv(indexn) + Ky(indexn)*dyv(index)); + T_convection(c) = 2/(1/Ky(index)+1/Ky(indexn))/(dyv(indexn)+dyv(index)); + end +end +end + +for i = 1 : nx +for j = 1 : ny + for k= 1: nz-1 + c = c + 1; + index = i + (j - 1) * nx + (k - 1) * nx * ny; + indexn = index + nx * ny; + N(c, :) = [index, index + nx*ny]; + T(c) = 2 * dxv(index)*dyv(index)*Kz(index)*Kz(indexn)/(Kz(index)*dzv(indexn) + Kz(indexn)*dzv(index)); + T_convection(c) = 2/(1/Kz(index)+1/Kz(indexn))/(dzv(indexn)+dzv(index)); + end +end +end +%% 2014ķΪƵʽ +syms x y z; +Ninterflow=[]; +Tinterflow=[]; +Tinterflow_convection=[]; +matrix_cells_containing_fracture_cells = []; +for i=1:nx*ny*nz % + for j=1:10 + if matrixvsfra(i,j)~=0 %this matrix cell contains a fracture cell + matrix_cells_containing_fracture_cells = [matrix_cells_containing_fracture_cells; i]; + Ninterflow=[Ninterflow;i,matrixvsfra(i,j)+nmc]; + kcell=(kx(i)*ky(i)*kz(i))^(1/3); + Knnc=kcell*Kf(matrixvsfra(i,j))/(kcell+Kf(matrixvsfra(i,j))); + Annc=2*areavsfra(matrixvsfra(i,j)); + fracore=corevsfra(matrixvsfra(i,j),:); + matnodes=nodes(i,:); + verco=coord(matnodes,:);norvec=normalvec(matrixvsfra(i,j),:); + matcore=mean(verco);d0=matcore-fracore; + dn=(x+d0(1))*norvec(1)+(y+d0(2))*norvec(2)+(z+d0(3))*norvec(3); +% dn=abs(dn);%ӰֵЧ + dn=sqrt(dn^2); + dn=matlabFunction(dn); + if norvec(1)~=0 && norvec(2)~=0 && norvec(3)~=0 + Dn=integral3(dn,-dxv(i)/2,dxv(i)/2,-dyv(i)/2,dyv(i)/2,-dzv(i)*NTG(i)/2,dzv(i)*NTG(i)/2)/(dxv(i)*dyv(i)*dzv(i)*NTG(i)); + else if norvec(1)~=0 && norvec(2)~=0 + Dn=dzv(i)*NTG(i)*integral2(dn,-dxv(i)/2,dxv(i)/2,-dyv(i)/2,dyv(i)/2)/(dxv(i)*dyv(i)*dzv(i)*NTG(i)); + else if norvec(1)~=0 && norvec(3)~=0 + Dn=dyv(i)*integral2(dn,-dxv(i)/2,dxv(i)/2,-dzv(i)*NTG(i)/2,dzv(i)*NTG(i)/2)/(dxv(i)*dyv(i)*dzv(i)*NTG(i)); + else if norvec(2)~=0 && norvec(3)~=0 + Dn=dxv(i)*integral2(dn,-dyv(i)/2,dyv(i)/2,-dzv(i)*NTG(i)/2,dzv(i)*NTG(i)/2)/(dxv(i)*dyv(i)*dzv(i)*NTG(i)); + else if norvec(1)~=0 + Dn=dyv(i)*dzv(i)*NTG(i)*integral(dn,-dxv(i)/2,dxv(i)/2)/(dxv(i)*dyv(i)*dzv(i)*NTG(i)); + else if norvec(2)~=0 + Dn=dxv(i)*dzv(i)*NTG(i)*integral(dn,-dyv(i)/2,dyv(i)/2)/(dxv(i)*dyv(i)*dzv(i)*NTG(i)); + else if norvec(3)~=0 + Dn=dxv(i)*dyv(i)*integral(dn,-dzv(i)*NTG(i)/2,dzv(i)*NTG(i)/2)/(dxv(i)*dyv(i)*dzv(i)*NTG(i)); + end + end + end + end + end + end + end + raoT=Knnc*Annc/Dn; + raoT_convection=2*Knnc/Dn^2; + Tinterflow=[Tinterflow;raoT]; + Tinterflow_convection=[Tinterflow_convection;raoT_convection]; + end + end +end +%% ⴦˴δͨûдһչ +nfc=size(fracnumber,1); +the_added_matrix_cells = []; +nmc=nx * ny*nz; +the_added_mf_connec = []; +the_added_mf_T = []; +number_of_adding = 0; +cell_divided_by_fracture_flag = matrix_cells_containing_fracture_cells; +for i = 1:size(matrix_cells_containing_fracture_cells,1) + the_matrix_cell = matrix_cells_containing_fracture_cells(i,1); + number_of_adding = number_of_adding+1; + the_new_cell = number_of_adding+nmc; + the_added_matrix_cells = [the_added_matrix_cells; the_new_cell]; + % m-m + for j = 1:size(N,1) + if N(j,1) == the_matrix_cell + if N(j,2) == the_matrix_cell+1 + N(j,1) = the_new_cell; T(j) = ... + ((Kx(the_matrix_cell)*dzv(the_matrix_cell)*dyv(the_matrix_cell)/(dxv(the_matrix_cell)/3))^(-1)+(Kx(the_matrix_cell+1)*dzv(the_matrix_cell+1)*dyv(the_matrix_cell+1)/(dxv(the_matrix_cell+1)/2))^(-1))^(-1); + end + if N(j,2) == the_matrix_cell-nx + N(j,1) = the_new_cell; T(j) = ... + ((Ky(the_matrix_cell)*dzv(the_matrix_cell)*dxv(the_matrix_cell)/(dyv(the_matrix_cell)/3))^(-1)+(Ky(the_matrix_cell-n)*dzv(the_matrix_cell-n)*dxv(the_matrix_cell-n)/(dxv(the_matrix_cell-n)/2))^(-1))^(-1); + end + end + if N(j,2) == the_matrix_cell + if N(j,1) == the_matrix_cell+1 + N(j,2) = the_new_cell; T(j) = ... + ((Kx(the_matrix_cell)*dzv(the_matrix_cell)*dyv(the_matrix_cell)/(dxv(the_matrix_cell)/3))^(-1)+(Kx(the_matrix_cell+1)*dzv(the_matrix_cell+1)*dyv(the_matrix_cell+1)/(dxv(the_matrix_cell+1)/2))^(-1))^(-1); + end + if N(j,1) == the_matrix_cell-nx + N(j,2) = the_new_cell; T(j) = ... + ((Ky(the_matrix_cell)*dzv(the_matrix_cell)*dxv(the_matrix_cell)/(dyv(the_matrix_cell)/3))^(-1)+(Ky(the_matrix_cell-n)*dzv(the_matrix_cell-n)*dxv(the_matrix_cell-n)/(dxv(the_matrix_cell-n)/2))^(-1))^(-1); + end + end + end +end +Ninterflow(:,2) = Ninterflow(:,2)+ number_of_adding; +ori_nmc = nmc; +nmc = ori_nmc +number_of_adding; +% m-f +number_of_adding = 0; +for i = 1:size(matrix_cells_containing_fracture_cells,1) + the_matrix_cell = matrix_cells_containing_fracture_cells(i,1); + number_of_adding = number_of_adding+1; + the_new_cell = number_of_adding+ori_nmc; +for j = 1:size(Ninterflow,1) + if Ninterflow(j,1) == the_matrix_cell + the_added_mf_connec = [the_added_mf_connec;the_new_cell,Ninterflow(j,2)]; + the_added_mf_T = [the_added_mf_T; Tinterflow(j)/2]; + Tinterflow(j) = Tinterflow(j)/2; + end +end +end +Ninterflow = [Ninterflow; the_added_mf_connec]; +Tinterflow = [Tinterflow; the_added_mf_T]; +%% 2014ķΪƵʽ +% syms x y z; +% Ninterflow=[]; +% Tinterflow=[]; +% for i=1:nx*ny*nz % +% for j=1:10 +% if matrixvsfra(i,j)~=0 %this matrix cell contains a fracture cell +% Ninterflow=[Ninterflow;i,matrixvsfra(i,j)+nmc]; +% kcell=(kx(i)*ky(i)*kz(i))^(1/3); +% K1=Kf(matrixvsfra(i,j));d1=Wf(matrixvsfra(i,j)); +% K2=kffl(matrixvsfra(i,j));d2=dffl(matrixvsfra(i,j)); +% Annc=2*areavsfra(matrixvsfra(i,j)); +% fracore=corevsfra(matrixvsfra(i,j),:); +% matnodes=nodes(i,:); +% verco=coord(matnodes,:);norvec=normalvec(matrixvsfra(i,j),:); +% matcore=mean(verco);d0=matcore-fracore; +% dn=(x+d0(1))*norvec(1)+(y+d0(2))*norvec(2)+(z+d0(3))*norvec(3); +% % dn=abs(dn);%ӰֵЧ +% dn=sqrt(dn^2); +% dn=matlabFunction(dn); +% if norvec(1)~=0 && norvec(2)~=0 && norvec(3)~=0 +% Dn=integral3(dn,-dxv(i)/2,dxv(i)/2,-dyv(i)/2,dyv(i)/2,-dzv(i)*NTG(i)/2,dzv(i)*NTG(i)/2)/(dxv(i)*dyv(i)*dzv(i)*NTG(i)); +% else if norvec(1)~=0 && norvec(2)~=0 +% Dn=dzv(i)*NTG(i)*integral2(dn,-dxv(i)/2,dxv(i)/2,-dyv(i)/2,dyv(i)/2)/(dxv(i)*dyv(i)*dzv(i)*NTG(i)); +% else if norvec(1)~=0 && norvec(3)~=0 +% Dn=dyv(i)*integral2(dn,-dxv(i)/2,dxv(i)/2,-dzv(i)*NTG(i)/2,dzv(i)*NTG(i)/2)/(dxv(i)*dyv(i)*dzv(i)*NTG(i)); +% else if norvec(2)~=0 && norvec(3)~=0 +% Dn=dxv(i)*integral2(dn,-dyv(i)/2,dyv(i)/2,-dzv(i)*NTG(i)/2,dzv(i)*NTG(i)/2)/(dxv(i)*dyv(i)*dzv(i)*NTG(i)); +% else if norvec(1)~=0 +% Dn=dyv(i)*dzv(i)*NTG(i)*integral(dn,-dxv(i)/2,dxv(i)/2)/(dxv(i)*dyv(i)*dzv(i)*NTG(i)); +% else if norvec(2)~=0 +% Dn=dxv(i)*dzv(i)*NTG(i)*integral(dn,-dyv(i)/2,dyv(i)/2)/(dxv(i)*dyv(i)*dzv(i)*NTG(i)); +% else if norvec(3)~=0 +% Dn=dxv(i)*dyv(i)*integral(dn,-dzv(i)*NTG(i)/2,dzv(i)*NTG(i)/2)/(dxv(i)*dyv(i)*dzv(i)*NTG(i)); +% end +% end +% end +% end +% end +% end +% end +% raoT=((Kcell*Annc/(Dn-d2))^(-1)+(K2*Annc/d2)^(-1)+(K1*Annc/d1)^(-1))^(-1); +% Tinterflow=[Tinterflow;raoT]; +% end +% end +% end + +%% ľֱ +N = [N; Nmff+nmc; Nff+nmc;Ninterflow;]; +T = [T; Tmff; Tff;Tinterflow;]; +T_convection = [T_convection;Tmff_convection; Tff_convection;Tinterflow_convection;]; +nex=size(N,1); +end diff --git a/core functions/preprocess/about_grid/frac_cross_frac.m b/core functions/preprocess/about_grid/frac_cross_frac.m new file mode 100644 index 0000000..8d204eb --- /dev/null +++ b/core functions/preprocess/about_grid/frac_cross_frac.m @@ -0,0 +1,185 @@ +function [ crossp,tmax,tmin ] = frac_cross_frac( f1,f2 ) +%f1,f2ѷ죬fʾ5*3ǰÿһбʾһзֱķΧ +%ԾηΪÿѷΪһ飬[a0;a1;a2;umin,umax,vmin,vmax],ͷ죬Ԫ洢аMATLABfunction +%ѷѷཻһ߶Σֻཻһ㣬Ϊѷ޴ +%ཻ߶εķ̲ףΪѷ״ĶòȼѰཻ㣨x1,y1,z1),x2,y2,z2) +%ȷ߶ֱߵIJ̣r=x1,y1,z1)+t*x2-x1,y2-y1,z2-z1),ֻȷtķΧ +%ʹtڽϴΧڵȼõֱӦѷIJȡֵжǷѷ״õIJΧڣǣȷ˸ཻ߶εľλá +%[ cross,tmax,tmin ] = frac_cross_frac( [0.5,0,0;1,1,0;0,0,1;0,6,0;0,7,0],[5,0,0;-1,1,0;0,0,1;0,6,0;0,5,0] ) +a0=f1(1,:);a1=f1(2,:);a2=f1(3,:); +u1min=f1(4,1);u1max=f1(4,2);v1min=f1(5,1);v1max=f1(5,2); +b0=f2(1,:);b1=f2(2,:);b2=f2(3,:); +u2min=f2(4,1);u2max=f2(4,2);v2min=f2(5,1);v2max=f2(5,2); +n=1; +crossp=[]; +tmax=0;tmin=0; +n1=cross(a1,a2);%һѷ淨 +n2=cross(b1,b2);%ڶѷ淨 +flag=0;% 0ʾb1ֱн㣬1ʾb1û +if (norm(f1-f2)~=0) && (norm(cross(n1,n2))~=0) %ȷڽ +% ֱb1,b2ֱȥ󽻵㣬֮ǰжϸֱǷѷƽУʱ޽ +%b1ֱ: r=u2*b1+b0; +%ѷ: r=a0+u1*a1+v1*a2; i.e., a0+u1*a1+v1*a2=u2*b1+b0 u1*a1+v1*a2-u2*b1=b0-a0 obtain three +%closed linear equations +coe=[a1(1) a2(1) -b1(1); + a1(2) a2(2) -b1(2); + a1(3) a2(3) -b1(3);]; +bv=[b0(1)-a0(1);b0(2)-a0(2);b0(3)-a0(3);]; +if abs(det(coe))<=1e-8 %޽ +else + solution1=coe\bv; + crossp=[crossp;a0+solution1(1)*a1+solution1(2)*a2;]; + n=n+1; +%b1ֱb2ƽһ: r=u2*b1+b2+b0; +%ѷ: r=a0+u1*a1+v1*a2; i.e., a0+u1*a1+v1*a2=u2*b1+b0 u1*a1+v1*a2-u2*b1=b0-a0 obtain three +%closed linear equations +bv=[b2(1)+b0(1)-a0(1);b2(2)+b0(2)-a0(2);b2(3)+b0(3)-a0(3);]; +solution2=coe\bv; +crossp=[crossp;a0+solution2(1)*a1+solution2(2)*a2;]; +n=n+1; +end +end + + +%b2ֱ: r=u2*b2+b0; +coe=[a1(1) a2(1) -b2(1); + a1(2) a2(2) -b2(2); + a1(3) a2(3) -b2(3);]; +bv=[b0(1)-a0(1);b0(2)-a0(2);b0(3)-a0(3);]; +if abs(det(coe))<=1e-8 %޽ +else + flag=1; + solution1=coe\bv; + crossp=[crossp;a0+solution1(1)*a1+solution1(2)*a2;]; + n=n+1; + %b2ֱb1ƽһ: r=u2*b2+b1+b0; + bv=[b1(1)+b0(1)-a0(1);b1(2)+b0(2)-a0(2);b1(3)+b0(3)-a0(3);]; + solution2=coe\bv; + crossp=[crossp;a0+solution2(1)*a1+solution2(2)*a2;]; + n=n+1; +end + +if (n<3) crossp=zeros(2,3);tmax=0;tmin=0; +else + crossp=crossp(1:2,:); +vertex_1=[a0+u1min*a1+v1min*a2; +a0+u1min*a1+v1max*a2; +a0+u1max*a1+v1max*a2; +a0+u1max*a1+v1min*a2; +a0+u1min*a1+v1min*a2;]; +vertex_2=[b0+u2min*b1+v2min*b2; +b0+u2min*b1+v2max*b2; +b0+u2max*b1+v2max*b2; +b0+u2max*b1+v2min*b2; +b0+u2min*b1+v2min*b2;]; + +% ýѷĽ +t1=[];%ѷ1ʱtȡֵ +t2=[];%ѷ2ʱtȡֵ +%% ѷ1ϼ +for i=1:4 + k1=vertex_1(i+1,:)-vertex_1(i,:);%͹߶б + k2=crossp(2,:)-crossp(1,:); +% if (((dot(k1,k2)/ norm(k1) / norm(k2))==1)||((dot(k1,k2)/ norm(k1) / norm(k2))==-1))%߿϶ + if (abs(abs(dot(k1,k2)/ norm(k1) / norm(k2))-1)<=1e-3)%߿϶ + continue; + else + A=[crossp(2,1)-crossp(1,1),vertex_1(i,1)-vertex_1(i+1,1); + crossp(2,2)-crossp(1,2),vertex_1(i,2)-vertex_1(i+1,2); + crossp(2,3)-crossp(1,3),vertex_1(i,3)-vertex_1(i+1,3);]; + b=[vertex_1(i,1)-crossp(1,1); + vertex_1(i,2)-crossp(1,2); + vertex_1(i,3)-crossp(1,3)]; + if abs(det(A'*A))<1e-8 + end + para=A\b; +% if((para(2)>=0.999)||(para(2)<0)||(para(1)>tmax)||(para(1)=0.999)||(para(2)<0) continue;%ȡ߶Σ߶˵㣬Ҳ˵㣬ɴ + % ʾȷѷ߽ + else + t1=[t1;para(1)]; + end + end +end + +%% ѷ2ϵļ +for i=1:4 + k1=vertex_2(i+1,:)-vertex_2(i,:);%͹߶б + k2=crossp(2,:)-crossp(1,:); +% if (((dot(k1,k2)/ norm(k1) / norm(k2))==1)||((dot(k1,k2)/ norm(k1) / norm(k2))==-1))%߿϶ + if (abs(abs(dot(k1,k2)/ norm(k1) / norm(k2))-1)<=1e-3)%߿϶ + continue; + else + A=[crossp(2,1)-crossp(1,1),vertex_2(i,1)-vertex_2(i+1,1); + crossp(2,2)-crossp(1,2),vertex_2(i,2)-vertex_2(i+1,2); + crossp(2,3)-crossp(1,3),vertex_2(i,3)-vertex_2(i+1,3);]; + b=[vertex_2(i,1)-crossp(1,1); + vertex_2(i,2)-crossp(1,2); + vertex_2(i,3)-crossp(1,3)]; + if abs(det(A'*A))<1e-8 + end + para=A\b; +% if((para(2)>=0.999)||(para(2)<0)||(para(1)>tmax)||(para(1)=0.999)||(para(2)<0) continue;%ȡ߶Σ߶˵㣬Ҳ˵㣬ɴ + % ʾȷѷ߽ + else + t2=[t2;para(1)]; + end + end +end + +if length(t1)>2 || length(t2)>2 + error('Dr Rao reminds you to check the existing error carefully'); +elseif length(t1)<2 || length(t2)<2 || max(t1)<=min(t2) || max(t2)<=min(t1) %޹߲ + crossp=zeros(2,3);tmax=0;tmin=0; +else + kitty=[t1;t2]; + kitty=sort(kitty); + tmin=kitty(2);tmax=kitty(3); +end + + + + + +% if flag==0 %b1ֱ߼ѷϵIJȡֵΧ +% A1=[a1(1),a2(1); +% a1(2),a2(2); +% a1(3),a2(3)]; +% A2=[b1(1),b2(1); +% b1(2),b2(2); +% b1(3),b2(3)]; +% B1=crossp(1,:)-a0; +% B2=crossp(1,:)-b0; +% s1=A1\B1'; +% s2=A2\B2'; +% if((s1(1)>u1max)||(s1(1)v1max)||(s1(2)u2max)||(s2(1)v2max)||(s2(2)u1max)||(s1(1)v1max)||(s1(2)u2max)||(s2(1)v2max)||(s2(2)u1max)||(s1(1)v1max)||(s1(2)u2max)||(s2(1)v2max)||(s2(2)=1)||(para(2)<0)||(para(1)>tmax)||(para(1)raodu) raovector2(q)=mod(raovector2(q),raodu); + end + end + rao2=[f+crossnum(2),k(i,raovector2),f+crossnum(1),f+crossnum(2)]; + if(norm(anothersection(f+crossnum(1),:)-anothersection(indice(1),:))==0&&norm(anothersection(f+crossnum(2),:)==anothersection(indice(2),:))==0) + rao1=[indice(1),k(i,(indice(1)+1):1:indice(2)),indice(1)]; + rao2=[indice(2),k(i,raovector2),indice(2)]; + end + if(norm(anothersection(f+crossnum(1),:)-anothersection(indice(1),:))==0&&norm(anothersection(f+crossnum(2),:)-anothersection(indice(2),:))~=0) + rao1=[indice(1),k(i,(indice(1)+1):1:indice(2)),f+crossnum(2),indice(1)]; + rao2=[f+crossnum(2),k(i,raovector2),f+crossnum(2)]; + end + if(norm(anothersection(f+crossnum(1),:)-anothersection(indice(1),:))~=0&&norm(anothersection(f+crossnum(2),:)-anothersection(indice(2),:))==0) + rao1=[f+crossnum(1),k(i,(indice(1)+1):1:indice(2)),f+crossnum(1)]; + rao2=[indice(2),k(i,raovector2),f+crossnum(1),indice(2)]; + end + p=size(rao1,2);q=size(rao2,2); + xink(2*i-1,1:p)=rao1; xink(2*i,1:q)=rao2; + %raoindice=find(k(i)~=0); +% raodu=size(raodice,2)-1; +% rao1=indice(1):1:indice(2);rao1=[rao1,indice(1)]; +% rao2=indice(2):1:(indice(1)+raodu);rao2=[rao2,indice(2)]; +% rao2=mod(rao2,raodu); +% p=size(rao1,2);q=size(rao2,2); +% xink(2*i-1,1:p)=k(i,rao1); xink(2*i,1:q)=k(i,rao2); + end + end +end +%µѷʷxinkγɣxinkԪؼd3intersectionеʵʵĵ +% for i=1:1:2*n +% indice=find(xink(i,:)); +% if(size(indice,2)==0) continue; +% else +% point=xink(i,indice)'; +% u=anothersection(point,1); +% v=anothersection(point,2); +% dt=DelaunayTri(u,v); +% %triplot(d,anothersection(1,:),anothersection(2,:)); +% k1 = convexHull(dt);%k1ҳȼkһ +% plot(u,v, '.', 'markersize',10); hold on; +% plot(u,v, 'r'); +% end +% end +% hold off; +end +% meshrao=[]; +% n=size(xink,1); +% for i=1:n +% a=xink(i,:); +% if(norm(a)~=0) +% meshrao=[meshrao;a]; +% end +% end +% xink=meshrao; +% +%xink(i,1:7)=k(i,:); xink(i,10)=i; + + +end + + diff --git a/core functions/preprocess/about_grid/frac_frac_mesh_modified.m b/core functions/preprocess/about_grid/frac_frac_mesh_modified.m new file mode 100644 index 0000000..b69e51e --- /dev/null +++ b/core functions/preprocess/about_grid/frac_frac_mesh_modified.m @@ -0,0 +1,206 @@ +function [ xink,d3intersection,anothersection,add_flag ]= frac_frac_mesh_modified(xrao,yrao,zrao,k, t0,t1,t2,cross,tmax,tmin,d3intersection,anothersection,numvspoint,numofmesh ) +%FRA_FRA_MESH ˴ʾйش˺ժҪ +%ѷཻһѷɵ +%d3intersectionѷ߽x,y,zֵдţx,y,z +%anothersectionѷ߽ĸѷu,vֵдţһuڶv +%numvspointѷ߽ľбʾĻ˳ţ +%бʾÿаĽӦе +%numofmeshǰĻţһ +%crossʾȷһѷѷཻ߶ϵ㣬ÿһдһά +%tmaxʾཻ߶ȡֵ +%tminʾཻ߶ȡСֵ + +%һжÿĽ㹹ɵ͹ε˳ +%Ҫѷƽϸݲu,vȡֵdelaunaytriconvexhullõ +%ά꣬Щ㹲棬delaunaytri޷ +%% ѷѷ콻ӵѷƽʷֵ +%ѷѷཻ߲ûȫ͸һʱΪ񲻱ཻʷ +%һ洢ٴʷֵΪ10 +%ʼΪ2*size(k,1)ʹ㹻ռ +n=size(k,1); +z=size(k,2); +% xink=zeros(2*n,z+2); +% xink=sparse(2*n,z+2); +add_flag=0; +if(norm(cross)==0) %Ϊ˱ǰ +% for i=1:n +% xink(2*i-1,1:z)=k(i,:); +% end +xink=k; +else + add_flag=1; + xink=zeros(2*n,z+2); +% [WO,~]=find(cross(:,1)>max(xrao)); +% [dao,~]=find(cross(:,2)>max(yrao)); +% [di,~]=find(cross(:,3)>max(zrao)); +% [gai,~]=find(cross(:,1)=0.999)||(para(2)<0)||(para(1)>tmax)||(para(1)raodu) raovector2(q)=mod(raovector2(q),raodu); + end + end + rao2=[f+crossnum(2),k(i,raovector2),f+crossnum(1),f+crossnum(2)]; + if norm(anothersection(f+crossnum(1),:)-anothersection(k(i,(indice(1))),:))<=1e-5&&norm(anothersection(f+crossnum(2),:)-anothersection(k(i,(indice(2))),:))<=1e-5 + rao1=[k(i,indice(1)),k(i,(indice(1)+1):1:indice(2)),k(i,indice(1))]; + rao2=[k(i,indice(2)),k(i,raovector2),k(i,indice(2))]; + end + if norm(anothersection(f+crossnum(1),:)-anothersection(k(i,(indice(1))),:))<=1e-5 &&norm(anothersection(f+crossnum(2),:)-anothersection(k(i,(indice(2))),:))>=1e-5 + rao1=[k(i,indice(1)),k(i,(indice(1)+1):1:indice(2)),f+crossnum(2),k(i,indice(1))]; + rao2=[f+crossnum(2),k(i,raovector2),f+crossnum(2)]; + end + if(norm(anothersection(f+crossnum(1),:)-anothersection(k(i,(indice(1))),:))>=1e-5&&norm(anothersection(f+crossnum(2),:)-anothersection(k(i,(indice(2))),:))<=1e-5) + rao1=[f+crossnum(1),k(i,(indice(1)+1):1:indice(2)),f+crossnum(1)]; + rao2=[k(i,indice(2)),k(i,raovector2),f+crossnum(1),k(i,indice(2))]; + end + p=size(rao1,2);q=size(rao2,2); + xink(2*i-1,:)=zeros(1,z+2); + xink(2*i-1,1:p)=rao1; xink(2*i,1:q)=rao2; + %raoindice=find(k(i)~=0); +% raodu=size(raodice,2)-1; +% rao1=indice(1):1:indice(2);rao1=[rao1,indice(1)]; +% rao2=indice(2):1:(indice(1)+raodu);rao2=[rao2,indice(2)]; +% rao2=mod(rao2,raodu); +% p=size(rao1,2);q=size(rao2,2); +% xink(2*i-1,1:p)=k(i,rao1); xink(2*i,1:q)=k(i,rao2); + end + end +end + +%% ȥظĵ +% dai=size(xink,1); +% for i=1:dai +% hui=unique(xink(i,:)); +% xink(i,:)=zeros(1,z+2); +% if length(hui)>2 +% xink(i,1:length(hui))=hui;xink(i,1)=xink(i,length(hui)); +% end +% end + +%µѷʷxinkγɣxinkԪؼd3intersectionеʵʵĵ +% for i=1:1:2*n +% indice=find(xink(i,:)); +% if(size(indice,2)==0) continue; +% else +% point=xink(i,indice)'; +% u=anothersection(point,1); +% v=anothersection(point,2); +% dt=DelaunayTri(u,v); +% %triplot(d,anothersection(1,:),anothersection(2,:)); +% k1 = convexHull(dt);%k1ҳȼkһ +% plot(u,v, '.', 'markersize',10); hold on; +% plot(u,v, 'r'); +% end +% end +% hold off; + +% end +% xink=unique(xink, 'rows', 'stable'); +% d3intersection=unique(d3intersection, 'rows', 'stable'); +% anothersection=unique(anothersection, 'rows', 'stable'); +%xink(i,1:7)=k(i,:); xink(i,10)=i; + + +end + + diff --git a/core functions/preprocess/about_grid/frac_mat_mesh.m b/core functions/preprocess/about_grid/frac_mat_mesh.m new file mode 100644 index 0000000..82f8b7f --- /dev/null +++ b/core functions/preprocess/about_grid/frac_mat_mesh.m @@ -0,0 +1,31 @@ +function [ mesh] = frac_mat_mesh( d3intersection,anothersection,numvspoint,numofmesh ) +% ˺fracvsfracֶ +% Ϊ˼ѷཻĻ +%% ѷ߽ѷʷ +n=size(numvspoint,1); +mesh=zeros(n,7);%ÿ͹ε˳ΪҪγɱպϻ·1ȷ +for i=1:1:n +indice=find(numvspoint(i,:)~=0); +if(size(indice,2)<3) mesh(i,:)=[0,0,0,0,0,0,0]; continue; +end +point=numvspoint(i,indice)'; +u=anothersection(point,1); +v=anothersection(point,2); +dt=DelaunayTri(u,v); +%triplot(d,anothersection(1,:),anothersection(2,:)); +k1 = convexHull(dt);%k1ҳȼkһ +% plot(u,v, '.', 'markersize',10); hold on; +% plot(u(k1),v(k1), 'r'); +m=size(k1,1); +for j=1:1:m + mesh(i,j)=point(k1(j)); +end +% k1=k1'; +% m=size(k1,2); +% k(i,1:m)=k1; +%hold off; +end +%hold off + +end + diff --git a/core functions/preprocess/about_grid/fun1.m b/core functions/preprocess/about_grid/fun1.m new file mode 100644 index 0000000..8a8b790 --- /dev/null +++ b/core functions/preprocess/about_grid/fun1.m @@ -0,0 +1,114 @@ +function [ cf ] = fun1( anothersection,fracnumber,p0,f ) +%fracturenumberǸѷĵţanothersectionǸѷƽIJ +% ÿѷһȥֹظ +% fʾѷѷϢ +% facemidʾе + indice=find(fracnumber~=0); + m=size(indice,2); + newsection=fracnumber(1,1:(m-1)); + u=anothersection(newsection',1); + v=anothersection(newsection',2); +% ucore=mean(u);%ѷ쵥ԪĶӦu,vֵ +% vcore=mean(v); + dt=delaunayTriangulation(u,v); + n=size(dt,1); + cf=0; + for k=1:n + coordinate=anothersection(newsection(dt(k,:))',:);%dt(k,:)ֻnewsectionеţʾ + cf=triint( coordinate,f,p0 )+cf; + end + +end + + +function [ cf ] = triint( coordinate,f,p0 ) +%TRIINT ˴ʾйش˺ժҪ,fʾѷIJ5*3 +% ˴ʾϸ˵ +syms u v r s length m n; +t0=f(1,:); +t1=f(2,:); +t2=f(3,:); +x1=coordinate(1,1);y1=coordinate(1,2); +x2=coordinate(2,1);y2=coordinate(2,2); +x3=coordinate(3,1);y3=coordinate(3,2); +Jocbimatrix=[x1-x3,x2-x3; + y1-y3,y2-y3]; +J=abs(det(Jocbimatrix)); +if(J==0) cf=0; +else +A=[t1(1),t2(1); +t1(2),t2(2); +t1(3),t2(3)]; +p1=p0-t0; +p2=A\p1'; +% p2=(A'*p1')\(A'*A); +u0=p2(1);v0=p2(2); +tol=t1*u0+t2*v0+t0-p0; +if(norm(tol)==0)%˵õڸƽϣ +% length=sqrt((u-u0)^2*norm(t1)^2+(v-v0)^2*norm(t2)^2); +% g=-1/4/pi/length; +% g=subs(g,[u,v],[(x1-x3)*r+(x2-x3)*s+x3,(y1-y3)*r+(y2-y3)*s+y3]); +% g1=matlabFunction(g); +% f2=@(r,s)(r+s<=1); +% f1=@(r,s)(g1(r,s).*f2(r,s)); +% cf=J*norm(t1)*norm(t2)*integral2(f1,0,1,0,1,'Method','iterated','AbsTol',1e-8,'RelTol',1e-5); +%ЧڻʱlengthһСʹΪ +%ôǺģΪѷ챾;һȣҸûֱǿɻģⱣ֤СݶΪ0.01 +lx=u*t1(1)+v*t2(1)+t0(1)-p0(1); +ly=u*t1(2)+v*t2(2)+t0(2)-p0(2); +lz=u*t1(3)+v*t2(3)+t0(3)-p0(3); +length=sqrt(lx^2+ly^2+lz^2)+1e-6; +g=-1/(4*pi*length); +g=subs(g,[u,v],[(x1-x3)*r+(x2-x3)*s+x3,(y1-y3)*r+(y2-y3)*s+y3]); +g1=matlabFunction(g); +f=@(r,s)(g1(r,s)); +smax=@(r)1-r; +% % % f2=@(r,s)(r+s<=1); +% % % f=@(r,s)(g1(r,s).*f2(r,s)); +% length=sqrt(lx^2+ly^2+lz^2)+1e-6;%ȾбʵIJԭֿɻ£С +% g=-1/(4*pi*length); +% g1=matlabFunction(g); +% f2=@(u,v)(u+v<=1); +% f1=@(u,v)(g1(u,v).*f2(u,v)); +cf=J*norm(cross(t1,t2))*integral2(f,0,1,0,smax,'Method','iterated','AbsTol',1e-8,'RelTol',1e-5); +else% +lx=u*t1(1)+v*t2(1)+t0(1)-p0(1); +ly=u*t1(2)+v*t2(2)+t0(2)-p0(2); +lz=u*t1(3)+v*t2(3)+t0(3)-p0(3); +length=sqrt(lx^2+ly^2+lz^2)+1e-6; +g=-1/(4*pi*length); +g=subs(g,[u,v],[(x1-x3)*r+(x2-x3)*s+x3,(y1-y3)*r+(y2-y3)*s+y3]); +g1=matlabFunction(g); +% % % f2=@(r,s)(r+s<=1); +% % % f=@(r,s)(g1(r,s).*f2(r,s)); +f=@(r,s)(g1(r,s)); +smax=@(r)1-r; +% length=sqrt(lx^2+ly^2+lz^2)+1e-6; +% g=-1/(4*pi*length); +% g=subs(g,[u,v],[(x1-x3)*r+(x2-x3)*s+x3,(y1-y3)*r+(y2-y3)*s+y3]); +% g1=matlabFunction(g); +% f2=@(r,s)(r+s<=1); +% f=@(r,s)(g1(r,s).*f2(r,s)); +% cf=J*norm(t1)*norm(t2)*integral2(f,0,1,0,1,'Method','iterated','AbsTol',1e-8,'RelTol',1e-5); +% g1=matlabFunction(g); +% f2=@(u,v)(u+v<=1); +% f1=@(u,v)(g1(u,v).*f2(u,v)); +cf=J*norm(cross(t1,t2))*integral2(f,0,1,0,smax,'Method','iterated','AbsTol',1e-8,'RelTol',1e-5); +% g=@(r,s)(-1./(4.*pi.*sqrt((((x1-x3).*r+(x2-x3).*s+x3).*t1(1)+((y1-y3).*r+(y2-y3).*s+y3).*t2(1)+t0(1)-p0(1)).^2+... +% (((x1-x3).*r+(x2-x3).*s+x3).*t1(2)+((y1-y3).*r+(y2-y3).*s+y3).*t2(2)+t0(2)-p0(2)).^2+... +% (((x1-x3).*r+(x2-x3).*s+x3).*t1(3)+((y1-y3).*r+(y2-y3).*s+y3).*t2(3)+t0(3)-p0(3)).^2))); +% lx=u*t1(1)+v*t2(1)+t0(1)-p0(1); +% ly=u*t1(2)+v*t2(2)+t0(2)-p0(2); +% lz=u*t1(3)+v*t2(3)+t0(3)-p0(3); +% length=sqrt(lx^2+ly^2+lz^2); +% g=-1/(4*pi*length); +%g=subs(g,[u,v],[(x1-x3).*r+(x2-x3).*s+x3,(y1-y3).*r+(y2-y3).*s+y3]); +% g1=matlabFunction(g); +% f2=@(r,s)(r+s<=1); +% f=@(r,s)(g(r,s).*f2(r,s)); +% cf=J*norm(t1)*norm(t2)*integral2(f,0,1,0,1,'Method','iterated','AbsTol',1e-8,'RelTol',1e-5); +%cf=J*norm(t1)*norm(t2)*integral2(g1,0,1,0,1,'Method','iterated','AbsTol',1e-8,'RelTol',1e-5); +end +end +end + diff --git a/core functions/preprocess/about_grid/fun2.m b/core functions/preprocess/about_grid/fun2.m new file mode 100644 index 0000000..c0dbf08 --- /dev/null +++ b/core functions/preprocess/about_grid/fun2.m @@ -0,0 +1,84 @@ +function [ cf ] = fun2( anothersection,fracnumber,coreco,f ) +%fracturenumberǸѷĵţanothersectionǸѷƽIJ +% ÿѷһȥֹظ +% fʾѷѷϢ +% facemidʾе + indice=find(fracnumber~=0); + m=size(indice,2); + newsection=fracnumber(1,1:(m-1)); + u=anothersection(newsection',1); + v=anothersection(newsection',2); + dt=delaunayTriangulation(u,v); + n=size(dt,1); + cf=0; + for k=1:n + coordinate=anothersection(newsection(dt(k,:))',:);%dt(k,:)ֻnewsectionеţʾ + cf=triint1( coordinate,f,coreco )+cf; + end + +end + + +function [ cf ] = triint1( coordinate,f,coreco ) +%TRIINT ˴ʾйش˺ժҪ,fʾѷIJ5*3 +% ˴ʾϸ˵ +syms u v r s length; +t0=f(1,:); +t1=f(2,:); +t2=f(3,:); +x1=coordinate(1,1);y1=coordinate(1,2); +x2=coordinate(2,1);y2=coordinate(2,2); +x3=coordinate(3,1);y3=coordinate(3,2); +Jocbimatrix=[x1-x3,x2-x3; + y1-y3,y2-y3]; +J=abs(det(Jocbimatrix)); +if(J==0) cf=0; +else +A=[t1(1),t2(1); +t1(2),t2(2); +t1(3),t2(3)]; +p1=coreco-t0; +p2=A\p1'; +u0=p2(1);v0=p2(2); +tol=t1*u0+t2*v0+t0-coreco; +if(norm(tol)==0)%˵õڸƽϣ +% length=sqrt((u-u0)^2*norm(t1)^2+(v-v0)^2*norm(t2)^2)+1e-8; +lx=u*t1(1)+v*t2(1)+t0(1)-coreco(1); +ly=u*t1(2)+v*t2(2)+t0(2)-coreco(2); +lz=u*t1(3)+v*t2(3)+t0(3)-coreco(3); +length=sqrt(lx^2+ly^2+lz^2)+1e-8; +g=-1/4/pi/length; +g=subs(g,[u,v],[(x1-x3)*r+(x2-x3)*s+x3,(y1-y3)*r+(y2-y3)*s+y3]); +g1=matlabFunction(g); +% % % f2=@(r,s)(r+s<=1); +% % % f=@(r,s)(g1(r,s).*f2(r,s)); +f=@(r,s)(g1(r,s)); +smax=@(r)1-r; +cf=J*norm(cross(t1,t2))*integral2(f,0,1,0,smax,'Method','iterated','AbsTol',1e-8,'RelTol',1e-5); +% lx=u*t1(1)+v*t2(1)+t0(1)-p0(1); +% ly=u*t1(2)+v*t2(2)+t0(2)-p0(2); +% lz=u*t1(3)+v*t2(3)+t0(3)-p0(3); +% length=sqrt(lx^2+ly^2+lz^2)+0.01;%ȾбʵIJԭֿɻ£С +% g=-1/(4*pi*length); +% g1=matlabFunction(g); +% f2=@(u,v)(u+v<=1); +% f1=@(u,v)(g1(u,v).*f2(u,v)); +% cf=J*norm(t1)*norm(t2)*integral2(f1,0,1,0,1,'Method','iterated','AbsTol',1e-8,'RelTol',1e-5); +else% +lx=u*t1(1)+v*t2(1)+t0(1)-coreco(1); +ly=u*t1(2)+v*t2(2)+t0(2)-coreco(2); +lz=u*t1(3)+v*t2(3)+t0(3)-coreco(3); +length=sqrt(lx^2+ly^2+lz^2)+1e-8; +g=-1/(4*pi*length); +g=subs(g,[u,v],[(x1-x3)*r+(x2-x3)*s+x3,(y1-y3)*r+(y2-y3)*s+y3]); +g1=matlabFunction(g); +% % % f2=@(r,s)(r+s<=1); +% % % f=@(r,s)(g1(r,s).*f2(r,s)); +f=@(r,s)(g1(r,s)); +smax=@(r)1-r; +cf=J*norm(cross(t1,t2))*integral2(f,0,1,0,smax,'Method','iterated','AbsTol',1e-8,'RelTol',1e-5); +%cf=J*norm(t1)*norm(t2)*integral2(g1,0,1,0,1,'Method','iterated','AbsTol',1e-8,'RelTol',1e-5); +end +end +end + diff --git a/core functions/preprocess/about_grid/fun3.m b/core functions/preprocess/about_grid/fun3.m new file mode 100644 index 0000000..6bebfd9 --- /dev/null +++ b/core functions/preprocess/about_grid/fun3.m @@ -0,0 +1,67 @@ +function [ cf ] = fun3( anothersection,p0,fracnumber,coreco,f ) +%fracturenumberǸѷĵţanothersectionǸѷƽIJ +% ÿѷһȥֹظ +% fʾѷѷϢ +% facemidʾе +% indice=find(fracnumber~=0); +% m=size(indice,2); +% newsection=fracnumber(1,1:(m-1)); +% u=anothersection(newsection',1); +% v=anothersection(newsection',2); +% dt=delaunayTriangulation(u,v); +% n=size(dt,1); +% cf=0; +% for k=1:n +% coordinate=anothersection(newsection(dt(k,:))',:);%dt(k,:)ֻnewsectionеţʾ +% cf=triint1( coordinate,f,p0 )+cf; +% end + +%TRIINT ˴ʾйش˺ժҪ,fʾѷIJ5*3 +% ˴ʾϸ˵ +syms u v r s length; +t0=f(1,:); +t1=f(2,:); +t2=f(3,:); +x1=coordinate(1,1);y1=coordinate(1,2); +x2=coordinate(2,1);y2=coordinate(2,2); +x3=coordinate(3,1);y3=coordinate(3,2); +Jocbimatrix=[x1-x3,x2-x3; + y1-y3,y2-y3]; +J=abs(det(Jocbimatrix)); +if(J==0) cf=0; +else +A=[t1(1),t2(1); +t1(2),t2(2); +t1(3),t2(3)]; +p1=coreco-t0; +p2=p1'\A; +u0=p2(1);v0=p2(2); +tol=t1*u0+t2*v0+t0-p0; +if(norm(tol)==0)%˵õڸƽϣ +% length=sqrt((u-u0)^2*norm(t1)^2+(v-v0)^2*norm(t2)^2); +lx=u*t1(1)+v*t2(1)+t0(1)-p0(1); +ly=u*t1(2)+v*t2(2)+t0(2)-p0(2); +lz=u*t1(3)+v*t2(3)+t0(3)-p0(3); +length=sqrt(lx^2+ly^2+lz^2); +g=-1/4/pi/length; +g=subs(g,[u,v],[(x1-x3)*r+(x2-x3)*s+x3,(y1-y3)*r+(y2-y3)*s+y3]); +g1=matlabFunction(g); +f=@(r,s)(g1(r,s)); +smax=@(r)1-r; +cf=J*norm(cross(t1,t2))*integral2(f,0,1,0,smax,'Method','iterated','AbsTol',1e-8,'RelTol',1e-5); +else% +lx=u*t1(1)+v*t2(1)+t0(1)-p0(1); +ly=u*t1(2)+v*t2(2)+t0(2)-p0(2); +lz=u*t1(3)+v*t2(3)+t0(3)-p0(3); +length=sqrt(lx^2+ly^2+lz^2); +g=-1/(4*pi*length); +g=subs(g,[u,v],[(x1-x3)*r+(x2-x3)*s+x3,(y1-y3)*r+(y2-y3)*s+y3]); +g1=matlabFunction(g); +f=@(r,s)(g1(r,s)); +smax=@(r)1-r; +cf=J*norm(cross(t1,t2))*integral2(f,0,1,0,smax,'Method','iterated','AbsTol',1e-8,'RelTol',1e-5); +%cf=J*norm(t1)*norm(t2)*integral2(g1,0,1,0,1,'Method','iterated','AbsTol',1e-8,'RelTol',1e-5); +end +end +end + diff --git a/core functions/preprocess/about_grid/interarea.m b/core functions/preprocess/about_grid/interarea.m new file mode 100644 index 0000000..6b064d5 --- /dev/null +++ b/core functions/preprocess/about_grid/interarea.m @@ -0,0 +1,135 @@ +function [ numofmesh, numvspoint,numofregion] = interarea( d3intersection,dx,dy,dz,nx,ny,nz,xrao,yrao,zrao ) +%жϽڵ +%numofregionrow denotes pointcolumn denotes һ8˽m8о +%numvspointrow denotes the number of matrix meshcolumn denotes the pointཻ㣬˾6Ϊǣ浽Ļ +%[ numofmesh, numvspoint,numofregion] = interarea( d3intersection,1,1,1,10,10,10 ) +m=size(d3intersection,1); +numofregion=zeros(m,8);%жЩĸ +for i=1:m +% a1=floor(d3intersection(i,1)/dx); +% a2=mod(d3intersection(i,1),dx); +% b1=floor(d3intersection(i,2)/dy); +% b2=mod(d3intersection(i,2),dy); +% c1=floor(d3intersection(i,3)/dz); +% c2=mod(d3intersection(i,3),dz); + + +for zhang=1:nx+1 + if xrao(1,zhang)<=d3intersection(i,1) + a1=zhang-1; + a2=d3intersection(i,1)-xrao(1,zhang); + end +end +for zhang=1:ny+1 + if yrao(1,zhang)<=d3intersection(i,2) + b1=zhang-1; + b2=d3intersection(i,2)-yrao(1,zhang); + end +end +for zhang=1:nz+1 + if zrao(1,zhang)<=d3intersection(i,3) + c1=zhang-1; + c2=d3intersection(i,3)-zrao(1,zhang); + end +end + +numofregion(i,:)=[a1+b1*nx+c1*nx*ny,a1+1+b1*nx+c1*nx*ny,a1+(b1-1)*nx+c1*nx*ny,a1+1+(b1-1)*nx+c1*nx*ny,... + a1+(b1-1)*nx+(c1-1)*nx*ny,a1+1+(b1-1)*nx+(c1-1)*nx*ny,a1+b1*nx+(c1-1)*nx*ny,a1+1+b1*nx+(c1-1)*nx*ny]; +% ȡ0߽紦 +if((a1==0)&&(a2==0)) + numofregion(i,1)=0;numofregion(i,3)=0;numofregion(i,5)=0;numofregion(i,7)=0; +end +if((b1==0)&&(b2==0)) + numofregion(i,3)=0;numofregion(i,4)=0;numofregion(i,5)=0;numofregion(i,6)=0; +end +if((c1==0)&&(c2==0)) + numofregion(i,5)=0;numofregion(i,6)=0;numofregion(i,7)=0;numofregion(i,8)=0; +end +% ȡ߽紦 +if a1==nx + numofregion(i,2)=0;numofregion(i,4)=0;numofregion(i,6)=0;numofregion(i,8)=0; +end +if b1==ny + numofregion(i,1)=0;numofregion(i,2)=0;numofregion(i,7)=0;numofregion(i,8)=0; +end +% if c1==nz +% numofregion(i,1)=0;numofregion(i,2)=0;numofregion(i,3)=0;numofregion(i,4)=0; +% end +if(a2~=0) + numofregion(i,1)=0;numofregion(i,3)=0;numofregion(i,5)=0;numofregion(i,7)=0; +end +if(b2~=0) + numofregion(i,3)=0;numofregion(i,4)=0;numofregion(i,5)=0;numofregion(i,6)=0; +end +if(c2~=0) + numofregion(i,5)=0;numofregion(i,6)=0;numofregion(i,7)=0;numofregion(i,8)=0; +end +end +numofregion(numofregion>nx*ny*nz)=0;%ѻ񲻰޳Ϊһû +numofmesh=unique(numofregion);%Ļ + +%% ֻmeshȥ +record=[]; +n=size(numofmesh,1); +if(numofmesh(1)==0) + record=[record;1]; + for i=2:1:n + [I,J]= find(numofregion==numofmesh(i));%ص + k=size(I,1); + if(k<=2) record=[record;i]; + end + end +else + for i=1:1:n + [I,J]= find(numofregion==numofmesh(i)); + k=size(I,1); + if(k<=2) record=[record;k]; + end + end +end +numofmesh(record,:)=[]; + +%% +n=size(numofmesh,1); +if(numofmesh(1)==0) + numvspoint=zeros(n-1,6);%ӦĽ + for i=2:1:n + [I,J]= find(numofregion==numofmesh(i));%ص + k=size(I,1); + numvspoint(i-1,1:k)=I'; + end + numofmesh=numofmesh(2:n,:);%ѿͷ0ȥ +else + numvspoint=zeros(n,6); + for i=1:1:n + [I,J]= find(numofregion==numofmesh(i)); + k=size(I,1); + numvspoint(i,1:k)=I'; + end +end +numvspoint=sort(numvspoint,2); + +numvspoint=unique(numvspoint,'rows','stable'); + + + + +% if(a2==0) +% if(b2==0) +% if(c2==0) +% numofregion(i,:)=[a1+b1*nx+c1*nx*ny,a1+1+b1*nx+c1*nx*ny,a1+(b1-1)*nx+c1*nx*ny,a1+1+(b1-1)*nx+c1*nx*ny,... +% a1+(b1-1)*nx+(c1-1)*nx*ny,a1+1+(b1-1)*nx+(c1-1)*nx*ny,a1+b1*nx+(c1-1)*nx*ny,a1+1+b1*nx+(c1-1)*nx*ny]; +% else +% numofregion(i,:)=[a1+b1*nx+c1*nx*ny,a1+1+b1*nx+c1*nx*ny,a1+(b1-1)*nx+c1*nx*ny,a1+1+(b1-1)*nx+c1*nx*ny,... +% 0,0,0,0]; +% end +% else +% numofregion(i,:)=[a1+b1*nx+c1*nx*ny,a1+1+b1*nx+c1*nx*ny,... +% 0,0,0,0,0,0]; +% end +% else +% numofregion(i,:)=[a1+1+b1*nx+c1*nx*ny,... +% 0,0,0,0,0,0,0]; +% end +end + diff --git a/core functions/preprocess/about_grid/interflowmf.asv b/core functions/preprocess/about_grid/interflowmf.asv new file mode 100644 index 0000000..c5318c4 --- /dev/null +++ b/core functions/preprocess/about_grid/interflowmf.asv @@ -0,0 +1,303 @@ +function [ G,Gfm,Gff,Gf,Ap,Apf ] = interflowmf(dx,dy,dz,matrixvsfra,connectmf,fracstart,fracnumber,raopoint,f,nodes,coord,nf,corevsfra ) +%˺ڼڱ߽ԪнԴѡڻʱ +%йصϵ +%GƫGƫnGfm +%dx,dy,dzֱǰѷĸûijߴ +%ѡȡĵijxyƽϣҪԵһϵGcm +% G +m=size(connectmf,1);%ѷ쵥ԪĻ + +syms z y x; +%dx=1;dy=1;dz=1; +%r=sqrt((z-dz/2).^2+y.^2+(dx/2).^2); +%c11 +g=@(x,y)-1./((4.*pi).*sqrt(x.^2+y.^2)); +c11=integral2(g,-dx/2,dx/2,-dy/2,dy/2,'Method','iterated','AbsTol',1e-8,'RelTol',1e-5); +%c12 +g=@(x,z)-1./((4.*pi).*sqrt(x.^2+(-dy/2).^2+(z+dz./2).^2)); +c12=integral2(g,-dx/2,dx/2,-dz/2,dz/2,'Method','iterated','AbsTol',1e-8,'RelTol',1e-5); +%c13 +g=@(y,z)-1./((4.*pi).*sqrt(y.^2+(-dx/2).^2+(z+dz./2).^2)); +c13=integral2(g,-dy/2,dy/2,-dz/2,dz/2,'Method','iterated','AbsTol',1e-8,'RelTol',1e-5); +%c16 +g=@(x,y)-1./((4.*pi).*sqrt(x.^2+y.^2+dz.^2)); +c16=integral2(g,-dx/2,dx/2,-dy/2,dy/2,'Method','iterated','AbsTol',1e-8,'RelTol',1e-5); +%c21 +g=@(x,y)-1./((4.*pi).*sqrt(x.^2+(y+dy/2).^2+(-dz/2).^2)); +c21=integral2(g,-dx/2,dx/2,-dy/2,dy/2,'Method','iterated','AbsTol',1e-8,'RelTol',1e-5); +%c22 +g=@(x,z)-1./((4.*pi).*sqrt(x.^2+z.^2)); +c22=integral2(g,-dx/2,dx/2,-dz/2,dz/2,'Method','iterated','AbsTol',1e-8,'RelTol',1e-5); +%c23 +g=@(y,z)-1./((4.*pi).*sqrt((-dx/2).^2+(y+dy/2).^2+z.^2)); +c23=integral2(g,-dy/2,dy/2,-dz/2,dz/2,'Method','iterated','AbsTol',1e-8,'RelTol',1e-5); +%c25 +g=@(x,z)-1./((4.*pi).*sqrt(x.^2+dy.^2+z.^2)); +c25=integral2(g,-dx/2,dx/2,-dz/2,dz/2,'Method','iterated','AbsTol',1e-8,'RelTol',1e-5); +%c31 +g=@(x,y)-1./((4.*pi).*sqrt((x+dx/2).^2+y.^2+(-dz/2).^2)); +c31=integral2(g,-dx/2,dx/2,-dy/2,dy/2,'Method','iterated','AbsTol',1e-8,'RelTol',1e-5); +%c32 +g=@(x,z)-1./((4.*pi).*sqrt((x+dx/2).^2+(-dy/2).^2+z.^2)); +c32=integral2(g,-dx/2,dx/2,-dz/2,dz/2,'Method','iterated','AbsTol',1e-8,'RelTol',1e-5); +%c33 +g=@(y,z)-1./((4.*pi).*sqrt(y.^2+z.^2)); +c33=integral2(g,-dy/2,dy/2,-dz/2,dz/2,'Method','iterated','AbsTol',1e-8,'RelTol',1e-5); +%c34 +g=@(y,z)-1./((4.*pi).*sqrt(dx^2+y.^2+z.^2)); +c34=integral2(g,-dy/2,dy/2,-dz/2,dz/2,'Method','iterated','AbsTol',1e-8,'RelTol',1e-5); +%c41 +g=@(x,y)-1./((4.*pi).*sqrt((x-dx/2).^2+y.^2+(-dz/2).^2)); +c41=integral2(g,-dx/2,dx/2,-dy/2,dy/2,'Method','iterated','AbsTol',1e-8,'RelTol',1e-5); +%c42 +g=@(x,z)-1./((4.*pi).*sqrt((x-dx/2).^2+(-dy/2).^2+z.^2)); +c42=integral2(g,-dx/2,dx/2,-dz/2,dz/2,'Method','iterated','AbsTol',1e-8,'RelTol',1e-5); +%c51 +g=@(x,y)-1./((4.*pi).*sqrt(x.^2+(y-dy/2).^2+(-dz/2).^2)); +c51=integral2(g,-dx/2,dx/2,-dy/2,dy/2,'Method','iterated','AbsTol',1e-8,'RelTol',1e-5); +%c53 +g=@(x,y)-1./((4.*pi).*sqrt(x.^2+(y-dy/2).^2+(-dz/2).^2)); +c53=integral2(g,-dx/2,dx/2,-dy/2,dy/2,'Method','iterated','AbsTol',1e-8,'RelTol',1e-5); +%c62 +g=@(x,z)-1./((4.*pi).*sqrt(x.^2+(-dy/2).^2+(z-dz/2).^2)); +c62=integral2(g,-dx/2,dx/2,-dz/2,dz/2,'Method','iterated','AbsTol',1e-8,'RelTol',1e-5); +%c63 +g=@(y,z)-1./((4.*pi).*sqrt((-dx/2).^2+y.^2+(z-dz/2).^2)); +c63=integral2(g,-dy/2,dy/2,-dz/2,dz/2,'Method','iterated','AbsTol',1e-8,'RelTol',1e-5); +%G +G=[c11,c12,c13,c13,c12,c16; + c21,c22,c23,c23,c25,c21; + c31,c32,c33,c34,c32,c31; + c41,c42,c34,c33,c42,c41; + c51,c25,c53,c53,c22,c51; + c16,c62,c63,c63,c62,c11]; +%% dG +dG=zeros(6); +grad=cell{6,1}; +%Ϊ1Դr(0,0,-dz/2) +r1=@(x,y,z)-1./((4.*pi).*sqrt(x.^2+y.^2+(z+dz./2).^2)); +grad{1,1}=[diff(r1,x),diff(r1,y),diff(r1,z)]; +n1=[0,0,-1]; +%Ϊ2Դr(0,-dy/2,0) +r2=@(x,y,z)-1./((4.*pi).*sqrt(x.^2+(y+dy/2).^2+z.^2)); +grad{2,1}=[diff(r2,x),diff(r2,y),diff(r2,z)]; +n2=[0,-1,0]; +%Ϊ3Դr(-dx/2,0,0) +r3=@(x,y,z)-1./((4.*pi).*sqrt((x+dx/2).^2+y.^2+z.^2)); +grad{3,1}=[diff(r3,x),diff(r3,y),diff(r3,z)]; +n3=[-1,0,0]; +%Ϊ4Դr(dx/2,0,0) +r4=@(x,y,z)-1./((4.*pi).*sqrt((x-dx/2).^2+y.^2+z.^2)); +grad{4,1}=[diff(r4,x),diff(r4,y),diff(r4,z)]; +n4=[0,0,1]; +%Ϊ5Դr(0,dy/2,0) +r5=@(x,y,z)-1./((4.*pi).*sqrt(x.^2+(y-dy/2).^2+z.^2)); +grad{5,1}=[diff(r5,x),diff(r5,y),diff(r5,z)]; +n5=[0,1,0]; +%Ϊ6Դr(0,0,dz/2) +r6=@(x,y,z)-1./((4.*pi).*sqrt(x.^2+y.^2+(z-dz./2).^2)); +grad{6,1}=[diff(r6,x),diff(r6,y),diff(r6,z)]; +n6=[0,0,1]; +% +for i=1:6 + if j==1 + rao=grad{i,1}.*n1; + g=subs(rao,z,-dz/2); + if j~=i + g1=matlabFunction(g); + g2=@(x,y)g1(x,y); + dG(i,j)=integral2(g2,-dx/2,dx/2,-dy/2,dy/2,'Method','iterated','AbsTol',1e-8,'RelTol',1e-5); + end + end + if j==2 + rao=grad{i,1}.*n2; + g=subs(rao,y,-dy/2); + if j~=i + g1=matlabFunction(g); + g2=@(x,z)g1(x,z); + dG(i,j)=integral2(g2,-dx/2,dx/2,-dz/2,dz/2,'Method','iterated','AbsTol',1e-8,'RelTol',1e-5); + end + end + if j==3 + rao=grad{i,1}.*n3; + g=subs(rao,x,-dx/2); + if j~=i + g1=matlabFunction(g); + g2=@(y,z)g1(y,z); + dG(i,j)=integral2(g2,-dy/2,dy/2,-dz/2,dz/2,'Method','iterated','AbsTol',1e-8,'RelTol',1e-5); + end + end + if j==4 + rao=grad{i,1}.*n4; + g=subs(rao,x,dx/2); + if j~=i + g1=matlabFunction(g); + g2=@(y,z)g1(y,z); + dG(i,j)=integral2(g2,-dy/2,dy/2,-dz/2,dz/2,'Method','iterated','AbsTol',1e-8,'RelTol',1e-5); + end + end + if j==5 + rao=grad{i,1}.*n5; + g=subs(rao,y,dy/2); + if j~=i + g1=matlabFunction(g); + g2=@(x,z)g1(x,z); + dG(i,j)=integral2(g2,-dx/2,dx/2,-dz/2,dz/2,'Method','iterated','AbsTol',1e-8,'RelTol',1e-5); + end + end + if j==1 + rao=grad{i,1}.*n6; + g=subs(rao,z,dz/2); + if j~=i + g1=matlabFunction(g); + g2=@(x,y)g1(x,y); + dG(i,j)=integral2(g2,-dx/2,dx/2,-dy/2,dy/2,'Method','iterated','AbsTol',1e-8,'RelTol',1e-5); + end + end + dG=dG-2*pi/(4*pi)*eye(6); +% for i=1:6 +% for j=1:6 +% dG(i,j)=fun3 +% dG(i,i)=-2*pi/(4*pi); +% end +%% Gfm +% m=size(matrixvsfra,1); +% Gfm=cell(m,1); +Gfm=cell(m,1); +for i=1:m + indice=find(matrixvsfra(connectmf{i,1},:)~=0); + n=size(indice,2); + cf=zeros(6,n); +if(n>0)%Ļѷn=size(indice,2); + matnodes=nodes(connectmf{i,1},:); + matnodes=coord(matnodes,:); + p(1,:)=(matnodes(1,:)+matnodes(2,:)+matnodes(3,:)+matnodes(4,:))/4; + p(2,:)=(matnodes(1,:)+matnodes(2,:)+matnodes(5,:)+matnodes(6,:))/4; + p(3,:)=(matnodes(1,:)+matnodes(3,:)+matnodes(5,:)+matnodes(7,:))/4; + p(4,:)=(matnodes(2,:)+matnodes(4,:)+matnodes(6,:)+matnodes(8,:))/4; + p(5,:)=(matnodes(3,:)+matnodes(4,:)+matnodes(7,:)+matnodes(8,:))/4; + p(6,:)=(matnodes(5,:)+matnodes(6,:)+matnodes(7,:)+matnodes(8,:))/4; + for j=1:6 + for k=1:n + for r=2:(nf+1) + if(matrixvsfra(connectmf{i,1},k)0)%Ļѷn=size(indice,2); + for j=1:n + for k=1:n + for r=2:(nf+1) + if(matrixvsfra(connectmf{i,1},k)0)%Ļѷn=size(indice,2); + r=p(1,:)-corevsfra(matrixvsfra(connectmf{i,1},j),:); + end + dGf{i,1}=cf; +end +%% Gf +%corevsfraÿѷ +syms z y x; +m=size(matrixvsfra,1); +Gf=cell(m,1); +for i=1:m + indice=find(matrixvsfra(connectmf{i,1},:)~=0); + n=size(indice,2); + cf=zeros(n,6); +if(n>0)%Ļѷn=size(indice,2); + matnodes=nodes(connectmf{i,1},:); + matnodes=coord(matnodes,:); + p(1,:)=(matnodes(1,:)+matnodes(2,:)+matnodes(3,:)+matnodes(4,:))/4;%z + p(2,:)=(matnodes(1,:)+matnodes(2,:)+matnodes(5,:)+matnodes(6,:))/4;%y + p(3,:)=(matnodes(1,:)+matnodes(3,:)+matnodes(5,:)+matnodes(7,:))/4;%x + p(4,:)=(matnodes(2,:)+matnodes(4,:)+matnodes(6,:)+matnodes(8,:))/4;%x + p(5,:)=(matnodes(3,:)+matnodes(4,:)+matnodes(7,:)+matnodes(8,:))/4;%y + p(6,:)=(matnodes(5,:)+matnodes(6,:)+matnodes(7,:)+matnodes(8,:))/4;%z + for j=1:n + %for k=1:6%ʹѭ +% for r=2:(nf+1) +% if(matrixvsfra(i,j)0)%Ļѷn=size(indice,2); + matnodes=nodes(connectmf{i,1},:); + matnodes=coord(matnodes,:); + p(1,:)=(matnodes(1,:)+matnodes(2,:)+matnodes(3,:)+matnodes(4,:))/4; + p(2,:)=(matnodes(1,:)+matnodes(2,:)+matnodes(5,:)+matnodes(6,:))/4; + p(3,:)=(matnodes(1,:)+matnodes(3,:)+matnodes(5,:)+matnodes(7,:))/4; + p(4,:)=(matnodes(2,:)+matnodes(4,:)+matnodes(6,:)+matnodes(8,:))/4; + p(5,:)=(matnodes(3,:)+matnodes(4,:)+matnodes(7,:)+matnodes(8,:))/4; + p(6,:)=(matnodes(5,:)+matnodes(6,:)+matnodes(7,:)+matnodes(8,:))/4; + for j=1:6 + for k=1:n + for r=2:(nf+1) + if(matrixvsfra(connectmf{i,1},k)0)%Ļѷn=size(indice,2); + for j=1:n + for k=1:n + for r=2:(nf+1) + if(matrixvsfra(connectmf{i,1},k)0)%Ļѷn=size(indice,2); + matnodes=nodes(connectmf{i,1},:); + matnodes=coord(matnodes,:); + p(1,:)=(matnodes(1,:)+matnodes(2,:)+matnodes(3,:)+matnodes(4,:))/4; + p(2,:)=(matnodes(1,:)+matnodes(2,:)+matnodes(5,:)+matnodes(6,:))/4; + p(3,:)=(matnodes(1,:)+matnodes(3,:)+matnodes(5,:)+matnodes(7,:))/4; + p(4,:)=(matnodes(2,:)+matnodes(4,:)+matnodes(6,:)+matnodes(8,:))/4; + p(5,:)=(matnodes(3,:)+matnodes(4,:)+matnodes(7,:)+matnodes(8,:))/4; + p(6,:)=(matnodes(5,:)+matnodes(6,:)+matnodes(7,:)+matnodes(8,:))/4; + cf=zeros(n,6); + for k=1:n + core=corevsfra(matrixvsfra(connectmf{i,1},k),:); +% r=-1./((4.*pi).*sqrt(x-core(1)).^2+(y-core(2)).^2+(z-core(3)).^2); +% grad=[diff(r,x),diff(r,y),diff(r,z)]; + gradx=(x-core(1))./((4.*pi).*((x-core(1)).^2+(y-core(2)).^2+(z-core(3)).^2)^(3/2)); + grady=(y-core(2))./((4.*pi).*((x-core(1)).^2+(y-core(2)).^2+(z-core(3)).^2)^(3/2)); + gradz=(z-core(3))./((4.*pi).*((x-core(1)).^2+(y-core(2)).^2+(z-core(3)).^2)^(3/2)); + grad=[gradx,grady,gradz]; + for j=1:6 + if j==1 + rao=grad*n1'; + g=subs(rao,[x,y,z],[p(1,1)+x1,p(1,2)+y1,p(1,3)]); + if (isempty(symvar(g))) cf(k,j)=0; + else + g1=matlabFunction(g); + g2=@(x1,y1)g1(x1,y1); + cf(k,j)=integral2(g2,-dx/2,dx/2,-dy/2,dy/2,'Method','iterated','AbsTol',1e-8,'RelTol',1e-5); + end + end + if j==2 + rao=grad*n2'; +% g=subs(rao,y,); + g=subs(rao,[x,y,z],[p(2,1)+x1,p(2,2),p(2,3)+z1]); + + if (isempty(symvar(g))) cf(k,j)=0; + else + g1=matlabFunction(g); + g2=@(x1,z1)g1(x1,z1); + cf(k,j)=integral2(g2,-dx/2,dx/2,-dz/2,dz/2,'Method','iterated','AbsTol',1e-8,'RelTol',1e-5); + end + end + if j==3 + rao=grad*n3'; +% g=subs(rao,x,-dx/2); + g=subs(rao,[x,y,z],[p(3,1),p(3,2)+y1,p(3,3)+z1]); + + if (isempty(symvar(g))) + cf(k,j)=0; + else + g1=matlabFunction(g); + g2=@(y1,z1)g1(y1,z1); + cf(k,j)=integral2(g2,-dy/2,dy/2,-dz/2,dz/2,'Method','iterated','AbsTol',1e-8,'RelTol',1e-5); + end + end + if j==4 + rao=grad*n4'; +% g=subs(rao,x,dx/2); + g=subs(rao,[x,y,z],[p(4,1),p(4,2)+y1,p(4,3)+z1]); + + if (isempty(symvar(g))) + cf(k,j)=0; + else + g1=matlabFunction(g);g2=@(y1,z1)g1(y1,z1); + cf(k,j)=integral2(g2,-dy/2,dy/2,-dz/2,dz/2,'Method','iterated','AbsTol',1e-8,'RelTol',1e-5); + end + end + if j==5 + rao=grad*n5'; +% g=subs(rao,y,dy/2); + g=subs(rao,[x,y,z],[p(5,1)+x1,p(5,2),p(5,3)+z1]); + + if (isempty(symvar(g))) + cf(k,j)=0; + else + g1=matlabFunction(g); g2=@(x1,z1)g1(x1,z1); + cf(k,j)=integral2(g2,-dx/2,dx/2,-dz/2,dz/2,'Method','iterated','AbsTol',1e-8,'RelTol',1e-5); + end + end + if j==6 + rao=grad*n6'; +% g=subs(rao,z,dz/2); + g=subs(rao,[x,y,z],[p(6,1)+x1,p(6,2)+y1,p(6,3)]); + + if (isempty(symvar(g))) + cf(k,j)=0; + else + g1=matlabFunction(g); g2=@(x1,y1)g1(x1,y1); + cf(k,j)=integral2(g2,-dx/2,dx/2,-dy/2,dy/2,'Method','iterated','AbsTol',1e-8,'RelTol',1e-5); + end + end + end + + end + dGf{i,1}=cf; + end + + a=1; +end +%% Gf +%corevsfraÿѷ +syms z y x; +% m=size(matrixvsfra,1); +Gf=cell(m,1); +for i=1:m + dx=dimen(i,1); dy=dimen(i,2); dz=dimen(i,3); + indice=find(matrixvsfra(connectmf{i,1},:)~=0); + n=size(indice,2); + cf=zeros(n,6); +if(n>0)%Ļѷn=size(indice,2); + matnodes=nodes(connectmf{i,1},:); + matnodes=coord(matnodes,:); + p(1,:)=(matnodes(1,:)+matnodes(2,:)+matnodes(3,:)+matnodes(4,:))/4;%z + p(2,:)=(matnodes(1,:)+matnodes(2,:)+matnodes(5,:)+matnodes(6,:))/4;%y + p(3,:)=(matnodes(1,:)+matnodes(3,:)+matnodes(5,:)+matnodes(7,:))/4;%x + p(4,:)=(matnodes(2,:)+matnodes(4,:)+matnodes(6,:)+matnodes(8,:))/4;%x + p(5,:)=(matnodes(3,:)+matnodes(4,:)+matnodes(7,:)+matnodes(8,:))/4;%y + p(6,:)=(matnodes(5,:)+matnodes(6,:)+matnodes(7,:)+matnodes(8,:))/4;%z + for j=1:n + %for k=1:6%ʹѭ +% for r=2:(nf+1) +% if(matrixvsfra(i,j)0)%Ļѷn=size(indice,2); +% % % for j=1:n +% % % matnodes=nodes(connectmf{i,1},:); +% % % matnodes=coord(matnodes,:); +% % % pm=mean(matnodes); +% % % core=corevsfra(matrixvsfra(connectmf{i,1},j),:); +% % % r=-1./((4.*pi).*sqrt((x+pm(1)-core(1)).^2+(y+pm(2)-core(2)).^2+(z+pm(3)-core(3)).^2)+1e-8); +% % % f=matlabFunction(r); +% % % cf(j,1)=integral3(f,-dx/2,dx/2,-dy/2,dy/2,-dz/2,dz/2,'Method','iterated','AbsTol',1e-8,'RelTol',1e-5); +% % % end +% % % end +% % % Gfmt{i,1}=cf; +% % % end +% % % +% % % %% Gfft +% % % Gfft=Gff;%ûӦ +%% ϵ +% m=size(matrixvsfra,1); +% Ap=cell(m,1); +Ap=cell(m,1); +Apf=cell(m,1); +% Apmt=cell(m,1); +% Apft=cell(m,1); +for i=1:m +% if (isempty(Gfm{i,1})==0)%ǿ +% ת +% grid_num=connectmf{i,1}; +% % ֻңΪҪ£ҪԤ¸һ㣬ֹἫ +% C=zeros(4,5); +% rel_grid=[grid_num-r.nx,grid_num-1,grid_num+1,grid_num+r.nx,grid_num]; +% % x +% C(1,1)=r.ky(grid_num-r.nx)/r.dyv(grid_num-r.nx)/(r.ky(grid_num)/r.dyv(grid_num)+r.ky(grid_num-r.nx)/r.dyv(grid_num-r.nx)); +% C(1,5)=r.ky(grid_num)/r.dyv(grid_num)/(r.ky(grid_num)/r.dyv(grid_num)+r.ky(grid_num-r.nx)/r.dyv(grid_num-r.nx)); +% C(4,4)=r.ky(grid_num+r.nx)/r.dyv(grid_num+r.nx)/(r.ky(grid_num)/r.dyv(grid_num)+r.ky(grid_num+r.nx)/r.dyv(grid_num+r.nx)); +% C(4,5)=r.ky(grid_num)/r.dyv(grid_num)/(r.ky(grid_num)/r.dyv(grid_num)+r.ky(grid_num+r.nx)/r.dyv(grid_num+r.nx)); +% % y +% C(2,2)=r.kx(grid_num-1)/r.dxv(grid_num-1)/(r.kx(grid_num)/r.dxv(grid_num)+r.kx(grid_num-1)/r.dxv(grid_num-1)); +% C(2,5)=r.kx(grid_num)/r.dxv(grid_num)/(r.kx(grid_num)/r.dxv(grid_num)+r.kx(grid_num-1)/r.dxv(grid_num-1)); +% C(3,3)=r.kx(grid_num+1)/r.dxv(grid_num+1)/(r.kx(grid_num)/r.dxv(grid_num)+r.kx(grid_num+1)/r.dxv(grid_num+1)); +% C(3,5)=r.kx(grid_num)/r.dxv(grid_num)/(r.kx(grid_num)/r.dxv(grid_num)+r.kx(grid_num+1)/r.dxv(grid_num+1)); +% C=[[0,0,0,0,1];C;[0,0,0,0,1]]; + +Gin = G{i,1}^(-1); +Ap0 = dGf{i,1} - Gf{i,1} * Gin * dG{i,1}; +Apf0 = Gf{i,1} * Gin * Gfm{i,1} - Gff{i,1}; +Apfv = Apf0^(-1); +Apt= Apfv * Ap0; +Ap{i,1} = Apt * ones(6,1); +% Ap{i,1} = Apt * C; +% Ap{i,2} = rel_grid; +Apf{i,1} = -Apfv; +wo=size(Apfv,1); +ni=size(Apfv,2); +% Apmt{i,1}=0; +% Apft{i,1}=zeros(wo,ni); +% % % Apmt{i,1}=Apfv*(Gfmt{i,1}-Gf{i,1}*Gin*Gmt{i,1}); +% % % Apft{i,1}=Apfv*(Gfft{i,1}-Gf{i,1}*Gin*Gmft{i,1}); +end +end +% Ap = Ap * ones(nb,1); +% Apf = -Apfv; + + + + + diff --git a/core functions/preprocess/about_grid/interflowmf_MODIFIED.m b/core functions/preprocess/about_grid/interflowmf_MODIFIED.m new file mode 100644 index 0000000..0e74960 --- /dev/null +++ b/core functions/preprocess/about_grid/interflowmf_MODIFIED.m @@ -0,0 +1,528 @@ +function [ G,Gfm,Gff,Gf,Ap,Apf ] = interflowmf_MODIFIED(rr,dxv,dyv,dzv,matrixvsfra,connectmf,fracstart,fracnumber,raopoint,f,nodes,coord,nf,corevsfra ) +%˺ڼڱ߽ԪнԴѡڻʱ +%йصϵ +%GƫGƫnGfm +%dx,dy,dzֱǰѷĸûijߴ +%ѡȡĵijxyƽϣҪԵһϵGcm +% G +%[ G,Gfm,Gff,Gf,Ap,Apf,Apmt,Apft ] = interflowmf1(dxv,dyv,dzv,matrixvsfra,connectmf,fracstart,fracnumber,raopoint,f,nodes,coord,nf,corevsfra ) +syms z y x x0 y0 z0 x1 y1 z1; +m=size(connectmf,1);%ѷ쵥ԪĻ +dimen=zeros(m,3); +for hui=1:m +dimen(hui,:)=[dxv(connectmf{hui,1}) dyv(connectmf{hui,1}) dzv(connectmf{hui,1})]; +end +raowang=unique(dimen,'rows'); +xiang=size(raowang,1); +wang=cell(xiang,1); +for i=1:xiang +dx=raowang(i,1);dy=raowang(i,2);dz=raowang(i,3); +%dx=1;dy=1;dz=1; +%r=sqrt((z-dz/2).^2+y.^2+(dx/2).^2); +%c11 +g=@(x,y)-1./((4.*pi).*sqrt(x.^2+y.^2)); +c11=integral2(g,-dx/2,dx/2,-dy/2,dy/2,'Method','iterated','AbsTol',1e-8,'RelTol',1e-5); +%c12 +g=@(x,z)-1./((4.*pi).*sqrt(x.^2+(-dy/2).^2+(z+dz./2).^2)); +c12=integral2(g,-dx/2,dx/2,-dz/2,dz/2,'Method','iterated','AbsTol',1e-8,'RelTol',1e-5); +%c13 +g=@(y,z)-1./((4.*pi).*sqrt(y.^2+(-dx/2).^2+(z+dz./2).^2)); +c13=integral2(g,-dy/2,dy/2,-dz/2,dz/2,'Method','iterated','AbsTol',1e-8,'RelTol',1e-5); +%c16 +g=@(x,y)-1./((4.*pi).*sqrt(x.^2+y.^2+dz.^2)); +c16=integral2(g,-dx/2,dx/2,-dy/2,dy/2,'Method','iterated','AbsTol',1e-8,'RelTol',1e-5); +%c21 +g=@(x,y)-1./((4.*pi).*sqrt(x.^2+(y+dy/2).^2+(-dz/2).^2)); +c21=integral2(g,-dx/2,dx/2,-dy/2,dy/2,'Method','iterated','AbsTol',1e-8,'RelTol',1e-5); +%c22 +g=@(x,z)-1./((4.*pi).*sqrt(x.^2+z.^2)); +c22=integral2(g,-dx/2,dx/2,-dz/2,dz/2,'Method','iterated','AbsTol',1e-8,'RelTol',1e-5); +%c23 +g=@(y,z)-1./((4.*pi).*sqrt((-dx/2).^2+(y+dy/2).^2+z.^2)); +c23=integral2(g,-dy/2,dy/2,-dz/2,dz/2,'Method','iterated','AbsTol',1e-8,'RelTol',1e-5); +%c25 +g=@(x,z)-1./((4.*pi).*sqrt(x.^2+dy.^2+z.^2)); +c25=integral2(g,-dx/2,dx/2,-dz/2,dz/2,'Method','iterated','AbsTol',1e-8,'RelTol',1e-5); +%c31 +g=@(x,y)-1./((4.*pi).*sqrt((x+dx/2).^2+y.^2+(-dz/2).^2)); +c31=integral2(g,-dx/2,dx/2,-dy/2,dy/2,'Method','iterated','AbsTol',1e-8,'RelTol',1e-5); +%c32 +g=@(x,z)-1./((4.*pi).*sqrt((x+dx/2).^2+(-dy/2).^2+z.^2)); +c32=integral2(g,-dx/2,dx/2,-dz/2,dz/2,'Method','iterated','AbsTol',1e-8,'RelTol',1e-5); +%c33 +g=@(y,z)-1./((4.*pi).*sqrt(y.^2+z.^2)); +c33=integral2(g,-dy/2,dy/2,-dz/2,dz/2,'Method','iterated','AbsTol',1e-8,'RelTol',1e-5); +%c34 +g=@(y,z)-1./((4.*pi).*sqrt(dx^2+y.^2+z.^2)); +c34=integral2(g,-dy/2,dy/2,-dz/2,dz/2,'Method','iterated','AbsTol',1e-8,'RelTol',1e-5); +%c41 +g=@(x,y)-1./((4.*pi).*sqrt((x-dx/2).^2+y.^2+(-dz/2).^2)); +c41=integral2(g,-dx/2,dx/2,-dy/2,dy/2,'Method','iterated','AbsTol',1e-8,'RelTol',1e-5); +%c42 +g=@(x,z)-1./((4.*pi).*sqrt((x-dx/2).^2+(-dy/2).^2+z.^2)); +c42=integral2(g,-dx/2,dx/2,-dz/2,dz/2,'Method','iterated','AbsTol',1e-8,'RelTol',1e-5); +%c51 +g=@(x,y)-1./((4.*pi).*sqrt(x.^2+(y-dy/2).^2+(-dz/2).^2)); +c51=integral2(g,-dx/2,dx/2,-dy/2,dy/2,'Method','iterated','AbsTol',1e-8,'RelTol',1e-5); +%c53 +g=@(x,y)-1./((4.*pi).*sqrt(x.^2+(y-dy/2).^2+(-dz/2).^2)); +c53=integral2(g,-dx/2,dx/2,-dy/2,dy/2,'Method','iterated','AbsTol',1e-8,'RelTol',1e-5); +%c62 +g=@(x,z)-1./((4.*pi).*sqrt(x.^2+(-dy/2).^2+(z-dz/2).^2)); +c62=integral2(g,-dx/2,dx/2,-dz/2,dz/2,'Method','iterated','AbsTol',1e-8,'RelTol',1e-5); +%c63 +g=@(y,z)-1./((4.*pi).*sqrt((-dx/2).^2+y.^2+(z-dz/2).^2)); +c63=integral2(g,-dy/2,dy/2,-dz/2,dz/2,'Method','iterated','AbsTol',1e-8,'RelTol',1e-5); +%G +wang{i,1}=[c11,c12,c13,c13,c12,c16; + c21,c22,c23,c23,c25,c21; + c31,c32,c33,c34,c32,c31; + c41,c42,c34,c33,c42,c41; + c51,c25,c53,c53,c22,c51; + c16,c62,c63,c63,c62,c11]; +end +G=cell(m,1); +for i=1:m +% index=connectmf{i,1};%û +for j=1:xiang + if norm(dimen(i,:)-raowang(j,:))==0 + G{i,1}=wang{j,1}; + end +end +end + +%% dG +dai=cell(xiang,1); +n1=[0,0,-1]; +n2=[0,-1,0]; +n3=[-1,0,0]; +n4=[1,0,0]; +n5=[0,1,0]; +n6=[0,0,1]; +r=-1./((4.*pi).*sqrt((x-x0).^2+(y-y0).^2+(z-z0).^2)); +for zhang=1:xiang +dx=raowang(zhang,1); +dy=raowang(zhang,2); +dz=raowang(zhang,3); +dG=zeros(6); +grad=cell(6,1); +gradx=(x-x0)./((4.*pi).*((x-x0).^2+(y-y0).^2+(z-z0).^2)^(3/2)); +grady=(y-y0)./((4.*pi).*((x-x0).^2+(y-y0).^2+(z-z0).^2)^(3/2)); +gradz=(z-z0)./((4.*pi).*((x-x0).^2+(y-y0).^2+(z-z0).^2)^(3/2)); +gradrao=[gradx,grady,gradz]; +grad{1,1}=subs(gradrao,[x0,y0,z0],[0,0,-dz/2]); +grad{2,1}=subs(gradrao,[x0,y0,z0],[0,-dy/2,0]); +grad{3,1}=subs(gradrao,[x0,y0,z0],[-dx/2,0,0]); +grad{4,1}=subs(gradrao,[x0,y0,z0],[dx/2,0,0]); +grad{5,1}=subs(gradrao,[x0,y0,z0],[0,dy/2,0]); +grad{6,1}=subs(gradrao,[x0,y0,z0],[0,0,dz/2]); +for i=1:6 + for j=1:6 + if j==1 + rao=grad{i,1}*n1'; + g=subs(rao,z,-dz/2); + if j~=i + g1=matlabFunction(g); + g2=@(x,y)g1(x,y); + dG(i,j)=integral2(g2,-dx/2,dx/2,-dy/2,dy/2,'Method','iterated','AbsTol',1e-8,'RelTol',1e-5); + end + end + if j==2 + rao=grad{i,1}*n2'; + g=subs(rao,y,-dy/2); + if j~=i + g1=matlabFunction(g); + g2=@(x,z)g1(x,z); + dG(i,j)=integral2(g2,-dx/2,dx/2,-dz/2,dz/2,'Method','iterated','AbsTol',1e-8,'RelTol',1e-5); + + end + end + if j==3 + rao=grad{i,1}*n3'; + g=subs(rao,x,-dx/2); + if j~=i + g1=matlabFunction(g); + g2=@(y,z)g1(y,z); + dG(i,j)=integral2(g2,-dy/2,dy/2,-dz/2,dz/2,'Method','iterated','AbsTol',1e-8,'RelTol',1e-5); + end + end + if j==4 + rao=grad{i,1}*n4'; + g=subs(rao,x,dx/2); + if j~=i + g1=matlabFunction(g); + g2=@(y,z)g1(y,z); + dG(i,j)=integral2(g2,-dy/2,dy/2,-dz/2,dz/2,'Method','iterated','AbsTol',1e-8,'RelTol',1e-5); + end + end + if j==5 + rao=grad{i,1}*n5'; + g=subs(rao,y,dy/2); + if j~=i + g1=matlabFunction(g); + g2=@(x,z)g1(x,z); + dG(i,j)=integral2(g2,-dx/2,dx/2,-dz/2,dz/2,'Method','iterated','AbsTol',1e-8,'RelTol',1e-5); + end + end + if j==6 + rao=grad{i,1}*n6'; + g=subs(rao,z,dz/2); + if j~=i + g1=matlabFunction(g); + g2=@(x,y)g1(x,y); + dG(i,j)=integral2(g2,-dx/2,dx/2,-dy/2,dy/2,'Method','iterated','AbsTol',1e-8,'RelTol',1e-5); + end + end + end +end + dG=dG-2*pi/(4*pi)*eye(6); + dai{zhang,1}=dG; +end + +dG=cell(m,1); +parfor i=1:m +% index=connectmf{i,1};%û +for j=1:xiang + if norm(dimen(i,:)-raowang(j,:))==0 + dG{i,1}=dai{j,1}; + end +end +end +% for i=1:6 +% for j=1:6 +% dG(i,j)=fun3 +% dG(i,i)=-2*pi/(4*pi); +% end +%% Gfm +% m=size(matrixvsfra,1); +% Gfm=cell(m,1); +Gfm=cell(m,1); +for i=1:m + indice=find(matrixvsfra(connectmf{i,1},:)~=0); + n=size(indice,2); + cf=zeros(6,n); +if(n>0)%Ļѷn=size(indice,2); + matnodes=nodes(connectmf{i,1},:); + matnodes=coord(matnodes,:); + p(1,:)=(matnodes(1,:)+matnodes(2,:)+matnodes(3,:)+matnodes(4,:))/4; + p(2,:)=(matnodes(1,:)+matnodes(2,:)+matnodes(5,:)+matnodes(6,:))/4; + p(3,:)=(matnodes(1,:)+matnodes(3,:)+matnodes(5,:)+matnodes(7,:))/4; + p(4,:)=(matnodes(2,:)+matnodes(4,:)+matnodes(6,:)+matnodes(8,:))/4; + p(5,:)=(matnodes(3,:)+matnodes(4,:)+matnodes(7,:)+matnodes(8,:))/4; + p(6,:)=(matnodes(5,:)+matnodes(6,:)+matnodes(7,:)+matnodes(8,:))/4; + for j=1:6 + for k=1:n + for xiao=2:(nf+1) + if(matrixvsfra(connectmf{i,1},k)0)%Ļѷn=size(indice,2); + for j=1:n + for k=1:n + for r=2:(nf+1) + if(matrixvsfra(connectmf{i,1},k)0)%Ļѷn=size(indice,2); + matnodes=nodes(connectmf{i,1},:); + matnodes=coord(matnodes,:); + p(1,:)=(matnodes(1,:)+matnodes(2,:)+matnodes(3,:)+matnodes(4,:))/4; + p(2,:)=(matnodes(1,:)+matnodes(2,:)+matnodes(5,:)+matnodes(6,:))/4; + p(3,:)=(matnodes(1,:)+matnodes(3,:)+matnodes(5,:)+matnodes(7,:))/4; + p(4,:)=(matnodes(2,:)+matnodes(4,:)+matnodes(6,:)+matnodes(8,:))/4; + p(5,:)=(matnodes(3,:)+matnodes(4,:)+matnodes(7,:)+matnodes(8,:))/4; + p(6,:)=(matnodes(5,:)+matnodes(6,:)+matnodes(7,:)+matnodes(8,:))/4; + cf=zeros(n,6); + for k=1:n + core=corevsfra(matrixvsfra(connectmf{i,1},k),:); +% r=-1./((4.*pi).*sqrt(x-core(1)).^2+(y-core(2)).^2+(z-core(3)).^2); +% grad=[diff(r,x),diff(r,y),diff(r,z)]; + gradx=(x-core(1))./((4.*pi).*((x-core(1)).^2+(y-core(2)).^2+(z-core(3)).^2)^(3/2)); + grady=(y-core(2))./((4.*pi).*((x-core(1)).^2+(y-core(2)).^2+(z-core(3)).^2)^(3/2)); + gradz=(z-core(3))./((4.*pi).*((x-core(1)).^2+(y-core(2)).^2+(z-core(3)).^2)^(3/2)); + grad=[gradx,grady,gradz]; + for j=1:6 + if j==1 + rao=grad*n1'; + g=subs(rao,[x,y,z],[p(1,1)+x1,p(1,2)+y1,p(1,3)]); + if (isempty(symvar(g))) cf(k,j)=0; + else + g1=matlabFunction(g); + g2=@(x1,y1)g1(x1,y1); + cf(k,j)=integral2(g2,-dx/2,dx/2,-dy/2,dy/2,'Method','iterated','AbsTol',1e-8,'RelTol',1e-5); + end + end + if j==2 + rao=grad*n2'; +% g=subs(rao,y,); + g=subs(rao,[x,y,z],[p(2,1)+x1,p(2,2),p(2,3)+z1]); + + if (isempty(symvar(g))) cf(k,j)=0; + else + g1=matlabFunction(g); + g2=@(x1,z1)g1(x1,z1); + cf(k,j)=integral2(g2,-dx/2,dx/2,-dz/2,dz/2,'Method','iterated','AbsTol',1e-8,'RelTol',1e-5); + end + end + if j==3 + rao=grad*n3'; +% g=subs(rao,x,-dx/2); + g=subs(rao,[x,y,z],[p(3,1),p(3,2)+y1,p(3,3)+z1]); + + if (isempty(symvar(g))) + cf(k,j)=0; + else + g1=matlabFunction(g); + g2=@(y1,z1)g1(y1,z1); + cf(k,j)=integral2(g2,-dy/2,dy/2,-dz/2,dz/2,'Method','iterated','AbsTol',1e-8,'RelTol',1e-5); + end + end + if j==4 + rao=grad*n4'; +% g=subs(rao,x,dx/2); + g=subs(rao,[x,y,z],[p(4,1),p(4,2)+y1,p(4,3)+z1]); + + if (isempty(symvar(g))) + cf(k,j)=0; + else + g1=matlabFunction(g);g2=@(y1,z1)g1(y1,z1); + cf(k,j)=integral2(g2,-dy/2,dy/2,-dz/2,dz/2,'Method','iterated','AbsTol',1e-8,'RelTol',1e-5); + end + end + if j==5 + rao=grad*n5'; +% g=subs(rao,y,dy/2); + g=subs(rao,[x,y,z],[p(5,1)+x1,p(5,2),p(5,3)+z1]); + + if (isempty(symvar(g))) + cf(k,j)=0; + else + g1=matlabFunction(g); g2=@(x1,z1)g1(x1,z1); + cf(k,j)=integral2(g2,-dx/2,dx/2,-dz/2,dz/2,'Method','iterated','AbsTol',1e-8,'RelTol',1e-5); + end + end + if j==6 + rao=grad*n6'; +% g=subs(rao,z,dz/2); + g=subs(rao,[x,y,z],[p(6,1)+x1,p(6,2)+y1,p(6,3)]); + + if (isempty(symvar(g))) + cf(k,j)=0; + else + g1=matlabFunction(g); g2=@(x1,y1)g1(x1,y1); + cf(k,j)=integral2(g2,-dx/2,dx/2,-dy/2,dy/2,'Method','iterated','AbsTol',1e-8,'RelTol',1e-5); + end + end + end + + end + dGf{i,1}=cf; + end + + a=1; +end +%% Gf +%corevsfraÿѷ +syms z y x; +% m=size(matrixvsfra,1); +Gf=cell(m,1); +for i=1:m + dx=dimen(i,1); dy=dimen(i,2); dz=dimen(i,3); + indice=find(matrixvsfra(connectmf{i,1},:)~=0); + n=size(indice,2); + cf=zeros(n,6); +if(n>0)%Ļѷn=size(indice,2); + matnodes=nodes(connectmf{i,1},:); + matnodes=coord(matnodes,:); + p(1,:)=(matnodes(1,:)+matnodes(2,:)+matnodes(3,:)+matnodes(4,:))/4;%z + p(2,:)=(matnodes(1,:)+matnodes(2,:)+matnodes(5,:)+matnodes(6,:))/4;%y + p(3,:)=(matnodes(1,:)+matnodes(3,:)+matnodes(5,:)+matnodes(7,:))/4;%x + p(4,:)=(matnodes(2,:)+matnodes(4,:)+matnodes(6,:)+matnodes(8,:))/4;%x + p(5,:)=(matnodes(3,:)+matnodes(4,:)+matnodes(7,:)+matnodes(8,:))/4;%y + p(6,:)=(matnodes(5,:)+matnodes(6,:)+matnodes(7,:)+matnodes(8,:))/4;%z + for j=1:n + %for k=1:6%ʹѭ +% for r=2:(nf+1) +% if(matrixvsfra(i,j)0)%Ļѷn=size(indice,2); +% % % for j=1:n +% % % matnodes=nodes(connectmf{i,1},:); +% % % matnodes=coord(matnodes,:); +% % % pm=mean(matnodes); +% % % core=corevsfra(matrixvsfra(connectmf{i,1},j),:); +% % % r=-1./((4.*pi).*sqrt((x+pm(1)-core(1)).^2+(y+pm(2)-core(2)).^2+(z+pm(3)-core(3)).^2)+1e-8); +% % % f=matlabFunction(r); +% % % cf(j,1)=integral3(f,-dx/2,dx/2,-dy/2,dy/2,-dz/2,dz/2,'Method','iterated','AbsTol',1e-8,'RelTol',1e-5); +% % % end +% % % end +% % % Gfmt{i,1}=cf; +% % % end +% % % +% % % %% Gfft +% % % Gfft=Gff;%ûӦ +%% ϵ +% m=size(matrixvsfra,1); +% Ap=cell(m,1); +Ap=cell(m,2); +Apf=cell(m,1); +% Apmt=cell(m,1); +% Apft=cell(m,1); +for i=1:m +% if (isempty(Gfm{i,1})==0)%ǿ +% ת +grid_num=connectmf{i,1}; +% ֻңΪҪ£ҪԤ¸һ㣬ֹἫ +C=zeros(4,5); +rel_grid=[grid_num-rr.nx,grid_num-1,grid_num+1,grid_num+rr.nx,grid_num]; +% x +C(1,1)=rr.ky(grid_num-rr.nx)/rr.dyv(grid_num-rr.nx)/(rr.ky(grid_num)/rr.dyv(grid_num)+rr.ky(grid_num-rr.nx)/rr.dyv(grid_num-rr.nx)); +C(1,5)=rr.ky(grid_num)/rr.dyv(grid_num)/(rr.ky(grid_num)/rr.dyv(grid_num)+rr.ky(grid_num-rr.nx)/rr.dyv(grid_num-rr.nx)); +C(4,4)=rr.ky(grid_num+rr.nx)/rr.dyv(grid_num+rr.nx)/(rr.ky(grid_num)/rr.dyv(grid_num)+rr.ky(grid_num+rr.nx)/rr.dyv(grid_num+rr.nx)); +C(4,5)=rr.ky(grid_num)/rr.dyv(grid_num)/(rr.ky(grid_num)/rr.dyv(grid_num)+rr.ky(grid_num+rr.nx)/rr.dyv(grid_num+rr.nx)); +% y +C(2,2)=rr.kx(grid_num-1)/rr.dxv(grid_num-1)/(rr.kx(grid_num)/rr.dxv(grid_num)+rr.kx(grid_num-1)/rr.dxv(grid_num-1)); +C(2,5)=rr.kx(grid_num)/rr.dxv(grid_num)/(rr.kx(grid_num)/rr.dxv(grid_num)+rr.kx(grid_num-1)/rr.dxv(grid_num-1)); +C(3,3)=rr.kx(grid_num+1)/rr.dxv(grid_num+1)/(rr.kx(grid_num)/rr.dxv(grid_num)+rr.kx(grid_num+1)/rr.dxv(grid_num+1)); +C(3,5)=rr.kx(grid_num)/rr.dxv(grid_num)/(rr.kx(grid_num)/rr.dxv(grid_num)+rr.kx(grid_num+1)/rr.dxv(grid_num+1)); +C=[[0,0,0,0,1];C;[0,0,0,0,1]]; + +Gin = G{i,1}^(-1); +Ap0 = dGf{i,1} - Gf{i,1} * Gin * dG{i,1}; +Apf0 = Gf{i,1} * Gin * Gfm{i,1} - Gff{i,1}; +Apfv = Apf0^(-1); +Apt= Apfv * Ap0; +% Ap{i,1} = Apt * ones(6,1); +Ap{i,1} = Apt * C; +Ap{i,2} = rel_grid; +Apf{i,1} = -Apfv; +wo=size(Apfv,1); +ni=size(Apfv,2); +% Apmt{i,1}=0; +% Apft{i,1}=zeros(wo,ni); +% % % Apmt{i,1}=Apfv*(Gfmt{i,1}-Gf{i,1}*Gin*Gmt{i,1}); +% % % Apft{i,1}=Apfv*(Gfft{i,1}-Gf{i,1}*Gin*Gmft{i,1}); +end +end +% Ap = Ap * ones(nb,1); +% Apf = -Apfv; + + + + + diff --git a/core functions/preprocess/about_grid/intersectionsolve.m b/core functions/preprocess/about_grid/intersectionsolve.m new file mode 100644 index 0000000..1e1b63d --- /dev/null +++ b/core functions/preprocess/about_grid/intersectionsolve.m @@ -0,0 +1,225 @@ +function [ d3intersection ] = intersectionsolve(fracture,dx,dy,dz,nx,ny,nz,xrao,yrao,zrao ) +% ѷ໥ķΧȷмϵĶԳ +% dx,dy,dz,lx,ly,lzԲ +% t=t0+u*t1+v*t2;ϲΪu,v +%ֻཻһ㣬ֻÿһǰǽ꣬d3intersectionУ +%ཻһ߶Σd2intersectionֻÿһǰߵ꣬һδ֪꣨-1ʾġʾཻ߶ϵһȡֵΧ +%d2intersectionеÿһ߶νд +%ʾ[ d3intersection ] = intersectionsolve([0.5,0,0],[1,1,0],[0,0,1],0,6,0,7,1,1,1,10,10,10) +t0=fracture(1,:);t1=fracture(2,:);t2=fracture(3,:); +umin=fracture(4,1);umax=fracture(4,2);vmin=fracture(5,1);vmax=fracture(5,2); +d3intersection=-1000*ones(1000,3);%-1000ʶ +% [I,J]=find(d3intersection==-1000);%-1000ʶ +% n=min(I); +d2intersection=zeros(50,5); +n=1; +i=1; +unknown=ones(2,1); +% жxཻ +%ܿܲȣʽд + + +for wang=1:ny+1 + y=yrao(1,wang); + for dai=1:nz+1 + z=zrao(1,dai); + A=[t1(2),t2(2); + t1(3),t2(3)]; + b=[y;z]-[t0(2);t0(3)]; + if(det(A)~=0) + unknown=A\b; + if ((unknown(1,1)>=umin)&&(unknown(1,1)<=umax)&&(unknown(2,1)>=vmin)&&(unknown(2,1)<=vmax)) + x=[t1(1),t2(1)]*unknown+t0(1); + d3intersection(n,:)=[x,y,z]; + n=n+1; + end + else + if((t1(2)~=0)) + if(((t1(2)*z)==(t1(3)*y))&&(y/t1(2)>=umin)&&(y/t1(2)<=umax)) + intersecxmin=t1(1)*y/t1(2)+t2(1)*vmin; + intersecxmax=t1(1)*y/t1(2)+t2(1)*vmax; + d2intersection(i,:)=[-1,y,z,intersecxmin,intersecxmax]+[0,t0(2),t0(3),t0(1),t0(1)]; + i=i+1; + end + else if(t1(3)~=0) + if(((t1(2)*z)==(t1(3)*y))&&(z/t1(3)>=umin)&&(z/t1(3)<=umax)) + intersecxmin=t1(1)*z/t1(3)+t2(1)*vmin; + intersecxmax=t1(1)*z/t1(3)+t2(1)*vmax; + d2intersection(i,:)=[-1,y,z,intersecxmin,intersecxmax]+[0,t0(2),t0(3),t0(1),t0(1)]; + i=i+1; + end + else if(t2(2)~=0) + if(((t2(2)*z)==(t2(3)*y))&&(y/t2(2)>=vmin)&&(y/t2(2)<=vmax)) + intersecxmin=t1(1)*umin+t2(1)*y/t2(2); + intersecxmax=t1(1)*umax+t2(1)*y/t2(2); + d2intersection(i,:)=[-1,y,z,intersecxmin,intersecxmax]+[0,t0(2),t0(3),t0(1),t0(1)]; + i=i+1; + end + else + if(((t2(2)*z)==(t2(3)*y))&&(z/t2(3)>=vmin)&&(z/t2(3)<=vmax)) + intersecxmin=t1(1)*umin+t2(1)*z/t2(3); + intersecxmax=t1(1)*umax+t2(1)*z/t2(3); + d2intersection(i,:)=[-1,y,z,intersecxmin,intersecxmax]+[0,t0(2),t0(3),t0(1),t0(1)]; + i=i+1; + end + end + end + end + end + end +end + +% жyཻ +for wang=1:nx+1 + x=xrao(1,wang); + for dai=1:nz+1 + z=zrao(1,dai); + A=[t1(1),t2(1); + t1(3),t2(3)]; + b=[x;z]-[t0(1);t0(3)]; + if(det(A)~=0) + unknown=A\b; + if ((unknown(1,1)>=umin)&&(unknown(1,1)<=umax)&&(unknown(2,1)>=vmin)&&(unknown(2,1)<=vmax)) + y=[t1(2),t2(2)]*unknown+t0(2); + d3intersection(n,:)=[x,y,z]; + n=n+1; + end + else + if((t1(1)~=0)) + if(((t1(1)*z)==(t1(3)*x))&&(x/t1(1)>=umin)&&(x/t1(1)<=umax)) + intersecymin=t1(2)*x/t1(1)+t2(2)*vmin; + intersecymax=t1(2)*x/t1(1)+t2(2)*vmax; + d2intersection(i,:)=[x,-1,z,intersecymin,intersecymax]+[t0(1),0,t0(3),t0(2),t0(2)]; + i=i+1; + end + else if(t1(3)~=0) + if(((t1(1)*z)==(t1(3)*x))&&(z/t1(3)>=umin)&&(z/t1(3)<=umax)) + intersecymin=t1(2)*z/t1(3)+t2(2)*vmin; + intersecymax=t1(2)*z/t1(3)+t2(2)*vmax; + d2intersection(i,:)=[x,-1,z,intersecymin,intersecymax]+[t0(1),0,t0(3),t0(2),t0(2)]; + i=i+1; + end + else if(t2(1)~=0) + if(((t2(1)*z)==(t2(3)*x))&&(x/t2(1)>=vmin)&&(x/t2(1)<=vmax)) + intersecymin=t1(2)*umin+t2(2)*x/t2(1); + intersecymax=t1(2)*umax+t2(2)*x/t2(1); + d2intersection(i,:)=[x,-1,z,intersecymin,intersecymax]+[t0(1),0,t0(3),t0(2),t0(2)]; + i=i+1; + end + else + if(((t2(1)*z)==(t2(3)*x))&&(z/t2(3)>=vmin)&&(z/t2(3)<=vmax)) + intersecymin=t1(2)*umin+t2(2)*z/t2(3); + intersecymax=t1(2)*umax+t2(2)*z/t2(3); + d2intersection(i,:)=[x,-1,z,intersecymin,intersecymax]+[t0(1),0,t0(3),t0(2),t0(2)]; + i=i+1; + end + end + end + end + end + end +end + +%жzཻ +for wang=1:nx+1 + x=xrao(1,wang); + for dai=1:ny+1 + y=yrao(1,dai); + A=[t1(1),t2(1); + t1(2),t2(2)]; + b=[x;y]-[t0(1);t0(2)]; + if(det(A)~=0) + unknown=A\b; + if ((unknown(1,1)>=umin)&&(unknown(1,1)<=umax)&&(unknown(2,1)>=vmin)&&(unknown(2,1)<=vmax)) + z=[t1(3),t2(3)]*unknown+t0(3); + d3intersection(n,:)=[x,y,z]; + n=n+1; + end + else + if((t1(1)~=0)) + if(((t1(1)*y)==(t1(2)*x))&&(x/t1(1)>=umin)&&(x/t1(1)<=umax)) + interseczmin=t1(3)*x/t1(1)+t2(3)*vmin; + interseczmax=t1(3)*x/t1(1)+t2(3)*vmax; + d2intersection(i,:)=[x,y,-1,interseczmin,interseczmax]+[t0(1),t0(2),0,t0(3),t0(3)]; + i=i+1; + end + else if(t1(2)~=0) + if(((t1(1)*y)==(t1(2)*x))&&(y/t1(2)>=umin)&&(y/t1(2)<=umax)) + interseczmin=t1(3)*y/t1(2)+t2(3)*vmin; + interseczmax=t1(3)*y/t1(2)+t2(3)*vmax; + d2intersection(i,:)=[x,y,-1,interseczmin,interseczmax]+[t0(1),t0(2),0,t0(3),t0(3)]; + i=i+1; + end + else if(t2(1)~=0) + if(((t2(1)*y)==(t2(2)*x))&&(x/t2(1)>=vmin)&&(x/t2(1)<=vmax)) + interseczmin=t1(3)*umin+t2(3)*x/t2(1); + interseczmax=t1(3)*umax+t2(3)*x/t2(1); + d2intersection(i,:)=[x,y,-1,interseczmin,interseczmax]+[t0(1),t0(2),0,t0(3),t0(3)]; + i=i+1; + end + else + if(((t2(1)*y)==(t2(2)*x))&&(y/t2(2)>=vmin)&&(y/t2(2)<=vmax)) + interseczmin=t1(3)*umin+t2(3)*y/t2(2); + interseczmax=t1(3)*umax+t2(3)*y/t2(2); + d2intersection(i,:)=[x,y,-1,interseczmin,interseczmax]+[t0(1),t0(2),0,t0(3),t0(3)]; + i=i+1; + end + end + end + end + end + end +end +% ɾȥͬ߶ +d2intersection=unique(d2intersection, 'rows', 'stable'); +m=size(d2intersection,1); +for i=1:m + + if(d2intersection(i,1)==-1) +d3intersection(n,:)=[d2intersection(i,4),d2intersection(i,2),d2intersection(i,3)];n=n+1; +d3intersection(n,:)=[d2intersection(i,5),d2intersection(i,2),d2intersection(i,3)];n=n+1; + for wang=1:nx+1 + j=xrao(1,wang); + if (((j>=d2intersection(i,4))&&(j<=d2intersection(i,5)))||((j>=d2intersection(i,5))&&(j<=d2intersection(i,4)))) + d3intersection(n,:)=[j,d2intersection(i,2),d2intersection(i,3)];n=n+1; + end + end + end + + if(d2intersection(i,2)==-1) +d3intersection(n,:)=[d2intersection(i,1),d2intersection(i,4),d2intersection(i,3)];n=n+1; +d3intersection(n,:)=[d2intersection(i,1),d2intersection(i,5),d2intersection(i,3)];n=n+1; + for wang=1:ny+1 + j=yrao(1,wang); + if (((j>=d2intersection(i,4))&&(j<=d2intersection(i,5)))||((j>=d2intersection(i,5))&&(j<=d2intersection(i,4)))) + d3intersection(n,:)=[d2intersection(i,1),j,d2intersection(i,3)];n=n+1; + end + end + end + + if(d2intersection(i,3)==-1) +d3intersection(n,:)=[d2intersection(i,1),d2intersection(i,2),d2intersection(i,4)];n=n+1; +d3intersection(n,:)=[d2intersection(i,1),d2intersection(i,2),d2intersection(i,5)];n=n+1; + for wang=1:nz+1 + j=zrao(1,wang); + if (((j>=d2intersection(i,4))&&(j<=d2intersection(i,5)))||((j>=d2intersection(i,5))&&(j<=d2intersection(i,4)))) +d3intersection(n,:)=[d2intersection(i,1),d2intersection(i,2),j];n=n+1; + end + end + end +end +d3intersection=unique(d3intersection, 'rows', 'stable'); +[I,J]=find(d3intersection==-1000); +d3intersection(I,:)=[]; + + +% A=[t1(1),t2(1); +% t1(2),t2(2); +% t1(3),t2(3)]; +% b=[0;0;0]; +% x=A\b; +% if((x(1)>umax)||(x(1)vmax)||(x(2)=umin)&&(unknown(1,1)<=umax)&&(unknown(2,1)>=vmin)&&(unknown(2,1)<=vmax)) + x=[t1(1),t2(1)]*unknown+t0(1); + d3intersection(n,:)=[x,y,z]; + n=n+1; + end + %Aʱʱ֪ + %ڵķڸѷƽڣʸϵеʸȥѷt0󣬱ܱʾt1t2 + %ˣõӦu,vֵȻжǷu,vķΧ + %޽ʱжϳ + else + A=[t1(1),t2(1), + t1(2),t2(2); + t1(3),t2(3)]; + test=([0,y,z]-t0)'; + tests=A\test; + if norm(A*tests-test)<=1e-6 %˵ڸѷ + flag=0; + for huihui=1:nx+1 + xtest=xrao(1,huihui); + vectest=[xtest,y,z]; + unknown=A\(vectest-t0)'; + if ((unknown(1)>=umin)&&(unknown(1)<=umax)&&(unknown(2)>=vmin)&&(unknown(2)<=vmax)) + intersecxmin=xtest;flag=flag+1; break; + end + end + for huihui=nx+1:-1:1 + xtest=xrao(1,huihui); + vectest=[xtest,y,z]; + unknown=A\(vectest-t0)'; + if ((unknown(1)>=umin)&&(unknown(1)<=umax)&&(unknown(2)>=vmin)&&(unknown(2)<=vmax)) + intersecxmax=xtest; flag=flag+1; break; + end + end + if flag==2 + d2intersection(i,:)=[-1,y,z,intersecxmin,intersecxmax];i=i+1; + end + end + end + end +end + + + + + + +% жyཻ +for wang=1:nx+1 + x=xrao(1,wang); + for dai=1:nz+1 + z=zrao(1,dai); + A=[t1(1),t2(1); + t1(3),t2(3)]; + b=[x;z]-[t0(1);t0(3)]; + if(det(A)~=0) + unknown=A\b; + if ((unknown(1,1)>=umin)&&(unknown(1,1)<=umax)&&(unknown(2,1)>=vmin)&&(unknown(2,1)<=vmax)) + y=[t1(2),t2(2)]*unknown+t0(2); + d3intersection(n,:)=[x,y,z]; + n=n+1; + end + else + A=[t1(1),t2(1), + t1(2),t2(2); + t1(3),t2(3)]; + test=([x,0,z]-t0)'; + tests=A\test; + if norm(A*tests-test)<=1e-6 %˵ڸѷ + flag=0; + for huihui=1:ny+1 + ytest=yrao(1,huihui); + vectest=[x,ytest,z]; + unknown=A\(vectest-t0)'; + if ((unknown(1)>=umin)&&(unknown(1)<=umax)&&(unknown(2)>=vmin)&&(unknown(2)<=vmax)) + intersecymin=ytest; flag=flag+1; break; + end + end + for huihui=ny+1:-1:1 + ytest=yrao(1,huihui); + vectest=[x,ytest,z]; + unknown=A\(vectest-t0)'; + if ((unknown(1)>=umin)&&(unknown(1)<=umax)&&(unknown(2)>=vmin)&&(unknown(2)<=vmax)) + intersecymax=ytest;flag=flag+1; break; + end + end + if flag==2 + d2intersection(i,:)=[x,-1,z,intersecymin,intersecymax];i=i+1; + end + + + end + end + end +end + + +%жzཻ +for wang=1:nx+1 + x=xrao(1,wang); + for dai=1:ny+1 + y=yrao(1,dai); + A=[t1(1),t2(1); + t1(2),t2(2)]; + b=[x;y]-[t0(1);t0(2)]; + if(det(A)~=0) + unknown=A\b; + if ((unknown(1,1)>=umin)&&(unknown(1,1)<=umax)&&(unknown(2,1)>=vmin)&&(unknown(2,1)<=vmax)) + z=[t1(3),t2(3)]*unknown+t0(3); + d3intersection(n,:)=[x,y,z]; + n=n+1; + end + else + A=[t1(1),t2(1), + t1(2),t2(2); + t1(3),t2(3)]; + test=([x,y,0]-t0)'; + tests=A\test; + hen=A*tests-test; + if norm(A*tests-test)<=1e-6 %˵ڸѷ + flag=0; + for huihui=1:nz+1 + + ztest=zrao(1,huihui); + vectest=[x,y,ztest]; + unknown=A\(vectest-t0)'; + if ((unknown(1)>=umin)&&(unknown(1)<=umax)&&(unknown(2)>=vmin)&&(unknown(2)<=vmax)) + interseczmin=ztest;flag=flag+1; break; + end + end + for huihui=nz+1:-1:1 + ztest=zrao(1,huihui); + vectest=[x,y,ztest]; + unknown=A\(vectest-t0)'; + if ((unknown(1)>=umin)&&(unknown(1)<=umax)&&(unknown(2)>=vmin)&&(unknown(2)<=vmax)) + interseczmax=ztest;flag=flag+1; break; + end + end + if flag==2 + d2intersection(i,:)=[x,y,-1,interseczmin,interseczmax];i=i+1; + end + + + end + end + end +end + + +% ɾȥͬ߶μ߶ +d2intersection=unique(d2intersection, 'rows', 'stable'); +m=size(d2intersection,1); +for i=1:m + + if(d2intersection(i,1)==-1) +d3intersection(n,:)=[d2intersection(i,4),d2intersection(i,2),d2intersection(i,3)];n=n+1; +d3intersection(n,:)=[d2intersection(i,5),d2intersection(i,2),d2intersection(i,3)];n=n+1; + for wang=1:nx+1 + j=xrao(1,wang); + if (((j>=d2intersection(i,4))&&(j<=d2intersection(i,5)))||((j>=d2intersection(i,5))&&(j<=d2intersection(i,4)))) + d3intersection(n,:)=[j,d2intersection(i,2),d2intersection(i,3)];n=n+1; + end + end + end + + if(d2intersection(i,2)==-1) +d3intersection(n,:)=[d2intersection(i,1),d2intersection(i,4),d2intersection(i,3)];n=n+1; +d3intersection(n,:)=[d2intersection(i,1),d2intersection(i,5),d2intersection(i,3)];n=n+1; + for wang=1:ny+1 + j=yrao(1,wang); + if (((j>=d2intersection(i,4))&&(j<=d2intersection(i,5)))||((j>=d2intersection(i,5))&&(j<=d2intersection(i,4)))) + d3intersection(n,:)=[d2intersection(i,1),j,d2intersection(i,3)];n=n+1; + end + end + end + + if(d2intersection(i,3)==-1) +d3intersection(n,:)=[d2intersection(i,1),d2intersection(i,2),d2intersection(i,4)];n=n+1; +d3intersection(n,:)=[d2intersection(i,1),d2intersection(i,2),d2intersection(i,5)];n=n+1; + for wang=1:nz+1 + j=zrao(1,wang); + if (((j>=d2intersection(i,4))&&(j<=d2intersection(i,5)))||((j>=d2intersection(i,5))&&(j<=d2intersection(i,4)))) +d3intersection(n,:)=[d2intersection(i,1),d2intersection(i,2),j];n=n+1; + end + end + end +end +d3intersection=unique(d3intersection, 'rows', 'stable'); +[I,J]=find(d3intersection==-1000); +d3intersection(I,:)=[]; + + +% A=[t1(1),t2(1); +% t1(2),t2(2); +% t1(3),t2(3)]; +% b=[0;0;0]; +% x=A\b; +% if((x(1)>umax)||(x(1)vmax)||(x(2)=umin)&&(unknown(1,1)<=umax)&&(unknown(2,1)>=vmin)&&(unknown(2,1)<=vmax)) + x=[t1(1),t2(1)]*unknown+t0(1); + d3intersection(n,:)=[x,y,z]; + n=n+1; + end + %Aʱʱ֪ + %ڵķڸѷƽڣʸϵеʸȥѷt0󣬱ܱʾt1t2 + %ˣõӦu,vֵȻжǷu,vķΧ + %޽ʱжϳ + else + + A=[t1(1),t2(1), + t1(2),t2(2); + t1(3),t2(3)]; + test=([0,y,z]-t0)'; + tests=A\test; + if norm(A*tests-test)<=1e-6 %˵ڸѷ + flag=0; + for huihui=1:nx+1 + xtest=xrao(1,huihui); + vectest=[xtest,y,z]; + unknown=A\(vectest-t0)'; + if ((unknown(1)>=umin)&&(unknown(1)<=umax)&&(unknown(2)>=vmin)&&(unknown(2)<=vmax)) + + xxtest=xtest-0.01;vvectest=[xxtest,y,z];uunknown=A\(vvectest-t0)'; + if ((uunknown(1)>=umin)&&(uunknown(1)<=umax)&&(uunknown(2)>=vmin)&&(uunknown(2)<=vmax))%xҪѰ׼ȷ + + if huihui==1 + intersecxmin=xtest;flag=flag+1; break; + else xlow=xrao(1,huihui-1); xhigh=xtest; + + end + while (xhigh-xlow>=tolerance) + xxtest=1/2*(xlow+xhigh); + vvectest=[xxtest,y,z]; + uunknown=A\(vvectest-t0)'; + if ((uunknown(1)>=umin)&&(uunknown(1)<=umax)&&(uunknown(2)>=vmin)&&(uunknown(2)<=vmax)) + xhigh=xxtest; xlow=xlow; + else xlow=xxtest; xhigh=xhigh; + end + end + intersecxmin=xhigh;flag=flag+1; break; + else %ڵҪҵĵ + intersecxmin=xtest;flag=flag+1; break; + end + end + end + + for huihui=nx+1:-1:1 + xtest=xrao(1,huihui); + vectest=[xtest,y,z]; + unknown=A\(vectest-t0)'; + if ((unknown(1)>=umin)&&(unknown(1)<=umax)&&(unknown(2)>=vmin)&&(unknown(2)<=vmax)) + xxtest=xtest+0.01;vvectest=[xxtest,y,z];uunknown=A\(vvectest-t0)'; + if ((uunknown(1)>=umin)&&(uunknown(1)<=umax)&&(uunknown(2)>=vmin)&&(uunknown(2)<=vmax))%xҪѰ׼ȷ + + if huihui==(nx+1) + intersecxmax=xtest;flag=flag+1; break; + else xlow=xtest; xhigh=xrao(1,huihui+1); + + end + while (xhigh-xlow>=tolerance) + xxtest=1/2*(xlow+xhigh); + vvectest=[xxtest,y,z]; + uunknown=A\(vvectest-t0)'; + if ((uunknown(1)>=umin)&&(uunknown(1)<=umax)&&(uunknown(2)>=vmin)&&(uunknown(2)<=vmax)) + xhigh=xhigh; xlow=xxtest; + else xlow=xlow; xhigh=xxtest; + end + end + intersecxmax=xlow;flag=flag+1; break; + else %ڵҪҵĵ + intersecxmax=xtest;flag=flag+1; break; + end + end + end + + if flag==2 + d2intersection(i,:)=[-1,y,z,intersecxmin,intersecxmax];i=i+1; + end + end + end + end +end + + + + + + +% жyཻ +for wang=1:nx+1 + x=xrao(1,wang); + for dai=1:nz+1 + z=zrao(1,dai); + A=[t1(1),t2(1); + t1(3),t2(3)]; + b=[x;z]-[t0(1);t0(3)]; + if(det(A)~=0) + unknown=A\b; + if ((unknown(1,1)>=umin)&&(unknown(1,1)<=umax)&&(unknown(2,1)>=vmin)&&(unknown(2,1)<=vmax)) + y=[t1(2),t2(2)]*unknown+t0(2); + d3intersection(n,:)=[x,y,z]; + n=n+1; + end + else + A=[t1(1),t2(1), + t1(2),t2(2); + t1(3),t2(3)]; + test=([x,0,z]-t0)'; + tests=A\test; + if norm(A*tests-test)<=1e-6 %˵ڸѷ + flag=0; + for huihui=1:ny+1 + ytest=yrao(1,huihui); + vectest=[x,ytest,z]; + unknown=A\(vectest-t0)'; + if ((unknown(1)>=umin)&&(unknown(1)<=umax)&&(unknown(2)>=vmin)&&(unknown(2)<=vmax)) + yytest=ytest-0.01;vvectest=[x,yytest,z];uunknown=A\(vvectest-t0)'; + if ((uunknown(1)>=umin)&&(uunknown(1)<=umax)&&(uunknown(2)>=vmin)&&(uunknown(2)<=vmax))%xҪѰ׼ȷ + + if huihui==1 + intersecymin=ytest;flag=flag+1; break; + else ylow=yrao(1,huihui-1); yhigh=ytest; + + end + while (yhigh-ylow>=tolerance) + yytest=1/2*(ylow+yhigh); + vvectest=[x,yytest,z]; + uunknown=A\(vvectest-t0)'; + if ((uunknown(1)>=umin)&&(uunknown(1)<=umax)&&(uunknown(2)>=vmin)&&(uunknown(2)<=vmax)) + yhigh=yytest; ylow=ylow; + else ylow=yytest; yhigh=yhigh; + end + end + intersecymin=yhigh;flag=flag+1; break; + else %ڵҪҵĵ + intersecymin=ytest;flag=flag+1; break; + end + end + end + + for huihui=ny+1:-1:1 + ytest=yrao(1,huihui); + vectest=[x,ytest,z]; + unknown=A\(vectest-t0)'; + if ((unknown(1)>=umin)&&(unknown(1)<=umax)&&(unknown(2)>=vmin)&&(unknown(2)<=vmax)) + yytest=ytest+0.01;vvectest=[x,yytest,z];uunknown=A\(vvectest-t0)'; + if ((uunknown(1)>=umin)&&(uunknown(1)<=umax)&&(uunknown(2)>=vmin)&&(uunknown(2)<=vmax))%xҪѰ׼ȷ + + if huihui==(ny+1) + intersecymax=ytest;flag=flag+1; break; + else ylow=ytest; yhigh=yrao(1,huihui+1); + + end + while (yhigh-ylow>=tolerance) + yytest=1/2*(ylow+yhigh); + vvectest=[x,yytest,z]; + uunknown=A\(vvectest-t0)'; + if ((uunknown(1)>=umin)&&(uunknown(1)<=umax)&&(uunknown(2)>=vmin)&&(uunknown(2)<=vmax)) + yhigh=yhigh; ylow=yytest; + else ylow=ylow; yhigh=yytest; + end + end + intersecymax=ylow;flag=flag+1; break; + else %ڵҪҵĵ + intersecymax=ytest;flag=flag+1; break; + end + end + end + + if flag==2 + d2intersection(i,:)=[x,-1,z,intersecymin,intersecymax];i=i+1; + end + + + end + end + end +end + + +%жzཻ +for wang=1:nx+1 + x=xrao(1,wang); + for dai=1:ny+1 + y=yrao(1,dai); + A=[t1(1),t2(1); + t1(2),t2(2)]; + b=[x;y]-[t0(1);t0(2)]; + if(det(A)~=0) + unknown=A\b; + if ((unknown(1,1)>=umin)&&(unknown(1,1)<=umax)&&(unknown(2,1)>=vmin)&&(unknown(2,1)<=vmax)) + z=[t1(3),t2(3)]*unknown+t0(3); + d3intersection(n,:)=[x,y,z]; + n=n+1; + end + else + A=[t1(1),t2(1), + t1(2),t2(2); + t1(3),t2(3)]; + test=([x,y,0]-t0)'; + tests=A\test; + hen=A*tests-test; + if norm(A*tests-test)<=1e-6 %˵ڸѷ + flag=0; + for huihui=1:nz+1 + + ztest=zrao(1,huihui); + vectest=[x,y,ztest]; + unknown=A\(vectest-t0)'; + if ((unknown(1)>=umin)&&(unknown(1)<=umax)&&(unknown(2)>=vmin)&&(unknown(2)<=vmax)) + zztest=ztest-0.01;vvectest=[x,y,zztest];uunknown=A\(vvectest-t0)'; + if ((uunknown(1)>=umin)&&(uunknown(1)<=umax)&&(uunknown(2)>=vmin)&&(uunknown(2)<=vmax))%xҪѰ׼ȷ + + if huihui==1 + interseczmin=ztest;flag=flag+1; break; + else zlow=zrao(1,huihui-1); zhigh=ztest; + + end + while (zhigh-zlow>=tolerance) + zztest=1/2*(zlow+zhigh); + vvectest=[x,y,zztest]; + uunknown=A\(vvectest-t0)'; + if ((uunknown(1)>=umin)&&(uunknown(1)<=umax)&&(uunknown(2)>=vmin)&&(uunknown(2)<=vmax)) + zhigh=zztest; zlow=zlow; + else zlow=zztest; zhigh=zhigh; + end + end + interseczmin=zhigh;flag=flag+1; break; + else %ڵҪҵĵ + interseczmin=ztest;flag=flag+1; break; + end + end + end + + for huihui=nz+1:-1:1 + ztest=zrao(1,huihui); + vectest=[x,y,ztest]; + unknown=A\(vectest-t0)'; + if ((unknown(1)>=umin)&&(unknown(1)<=umax)&&(unknown(2)>=vmin)&&(unknown(2)<=vmax)) + zztest=ztest+0.01;vvectest=[x,y,zztest];uunknown=A\(vvectest-t0)'; + if ((uunknown(1)>=umin)&&(uunknown(1)<=umax)&&(uunknown(2)>=vmin)&&(uunknown(2)<=vmax))%xҪѰ׼ȷ + + if huihui==(nz+1) + interseczmax=ztest;flag=flag+1; break; + else zlow=ztest; zhigh=zrao(1,huihui+1); + + end + while (zhigh-zlow>=tolerance) + zztest=1/2*(zlow+zhigh); + vvectest=[x,y,zztest]; + uunknown=A\(vvectest-t0)'; + if ((uunknown(1)>=umin)&&(uunknown(1)<=umax)&&(uunknown(2)>=vmin)&&(uunknown(2)<=vmax)) + zhigh=zhigh; zlow=zztest; + else zlow=zlow; zhigh=zztest; + end + end + interseczmax=zlow;flag=flag+1; break; + else %ڵҪҵĵ + interseczmax=ztest;flag=flag+1; break; + end + end + end + + if flag==2 + d2intersection(i,:)=[x,y,-1,interseczmin,interseczmax];i=i+1; + end + + + end + end + end +end + +%% ѷ߽Ľ +% u=uminʱ +%point=t0+umin*t1+v*t2; +%y-zĽ +boundary=[umin,umax,vmin,vmax]; +for xiang=1:4 + +if xiang<=2 %˵uȡֵ +for hui=1:nx+1 + if t2(1)==0 break; + else + x=xrao(1,hui); + v=(x-t1(1)*boundary(xiang)-t0(1))/t2(1); + if (v>=vmin)&&(v<=vmax) + point=t0+boundary(xiang)*t1+v*t2; + d3intersection(n,:)=point;n=n+1; + end + end +end +else %vȡֵ +for hui=1:nx+1 + if t1(1)==0 break; + else + x=xrao(1,hui); + u=(x-t2(1)*boundary(xiang)-t0(1))/t1(1); + if (u>=umin)&&(u<=umax) + point=t0+u*t1+boundary(xiang)*t2; + d3intersection(n,:)=point;n=n+1; + end + end +end +end +end + +%x-zĽ +boundary=[umin,umax,vmin,vmax]; +for xiang=1:4 + +if xiang<=2 %˵uȡֵ +for hui=1:ny+1 + if t2(2)==0 break; + else + y=yrao(1,hui); + v=(y-t1(2)*boundary(xiang)-t0(2))/t2(2); + if (v>=vmin)&&(v<=vmax) + point=t0+boundary(xiang)*t1+v*t2; + d3intersection(n,:)=point;n=n+1; + end + end +end +else %vȡֵ +for hui=1:ny+1 + if t1(2)==0 break; + else + y=yrao(1,hui); + u=(y-t2(2)*boundary(xiang)-t0(2))/t1(2); + if (u>=umin)&&(u<=umax) + point=t0+u*t1+boundary(xiang)*t2; + d3intersection(n,:)=point;n=n+1; + end + end +end +end +end + +%x-yĽ +boundary=[umin,umax,vmin,vmax]; +for xiang=1:4 + +if xiang<=2 %˵uȡֵ +for hui=1:nz+1 + if t2(3)==0 break; + else + z=zrao(1,hui); + v=(z-t1(3)*boundary(xiang)-t0(3))/t2(3); + if (v>=vmin)&&(v<=vmax) + point=t0+boundary(xiang)*t1+v*t2; + d3intersection(n,:)=point;n=n+1; + end + end +end +else %vȡֵ +for hui=1:nz+1 + if t1(3)==0 break; + else + z=zrao(1,hui); + u=(z-t2(3)*boundary(xiang)-t0(3))/t1(3); + if (u>=umin)&&(u<=umax) + point=t0+u*t1+boundary(xiang)*t2; + d3intersection(n,:)=point;n=n+1; + end + end +end +end +end + + + + + + + +% ɾȥͬ߶μ߶ +d2intersection=unique(d2intersection, 'rows', 'stable'); +m=size(d2intersection,1); +for i=1:m + + if(d2intersection(i,1)==-1) +d3intersection(n,:)=[d2intersection(i,4),d2intersection(i,2),d2intersection(i,3)];n=n+1; +d3intersection(n,:)=[d2intersection(i,5),d2intersection(i,2),d2intersection(i,3)];n=n+1; + for wang=1:nx+1 + j=xrao(1,wang); + if (((j>=d2intersection(i,4))&&(j<=d2intersection(i,5)))||((j>=d2intersection(i,5))&&(j<=d2intersection(i,4)))) + d3intersection(n,:)=[j,d2intersection(i,2),d2intersection(i,3)];n=n+1; + end + end + end + + if(d2intersection(i,2)==-1) +d3intersection(n,:)=[d2intersection(i,1),d2intersection(i,4),d2intersection(i,3)];n=n+1; +d3intersection(n,:)=[d2intersection(i,1),d2intersection(i,5),d2intersection(i,3)];n=n+1; + for wang=1:ny+1 + j=yrao(1,wang); + if (((j>=d2intersection(i,4))&&(j<=d2intersection(i,5)))||((j>=d2intersection(i,5))&&(j<=d2intersection(i,4)))) + d3intersection(n,:)=[d2intersection(i,1),j,d2intersection(i,3)];n=n+1; + end + end + end + + if(d2intersection(i,3)==-1) +d3intersection(n,:)=[d2intersection(i,1),d2intersection(i,2),d2intersection(i,4)];n=n+1; +d3intersection(n,:)=[d2intersection(i,1),d2intersection(i,2),d2intersection(i,5)];n=n+1; + for wang=1:nz+1 + j=zrao(1,wang); + if (((j>=d2intersection(i,4))&&(j<=d2intersection(i,5)))||((j>=d2intersection(i,5))&&(j<=d2intersection(i,4)))) +d3intersection(n,:)=[d2intersection(i,1),d2intersection(i,2),j];n=n+1; + end + end + end +end +d3intersection=unique(d3intersection, 'rows', 'stable'); +[I,J]=find(d3intersection==-1000); +d3intersection(I,:)=[]; + +record=[]; +kitty=size(d3intersection,1); +for i=1:kitty-1 + for j=i+1:kitty + if (norm(d3intersection(i,:)-d3intersection(j,:))<=1e-1)%ֵй + record=[record;j]; + end + end +end +record=unique(record, 'rows', 'stable'); +d3intersection(record,:)=[]; + + + +% A=[t1(1),t2(1); +% t1(2),t2(2); +% t1(3),t2(3)]; +% b=[0;0;0]; +% x=A\b; +% if((x(1)>umax)||(x(1)vmax)||(x(2)=tolerance) + xxtest=1/2*(xlow+xhigh); + vvectest=[xxtest,y,z]; + uunknown=A\(vvectest-t0)'; + if ((uunknown(1,1)^2/urao^2+uunknown(2,1)^2/vdai^2)<=1) + xhigh=xxtest; xlow=xlow; + else xlow=xxtest; xhigh=xhigh; + end + end + intersecxmin=xhigh;flag=flag+1; break; + else %ڵҪҵĵ + intersecxmin=xtest;flag=flag+1; break; + end + end + end + + for huihui=nx+1:-1:1 + xtest=xrao(1,huihui); + vectest=[xtest,y,z]; + unknown=A\(vectest-t0)'; + if ((unknown(1,1)^2/urao^2+unknown(2,1)^2/vdai^2)<=1) + xxtest=xtest+0.01;vvectest=[xxtest,y,z];uunknown=A\(vvectest-t0)'; + if (uunknown(1,1)^2/urao^2+uunknown(2,1)^2/vdai^2<=1)%xҪѰ׼ȷ + + if huihui==(nx+1) + intersecxmax=xtest;flag=flag+1; break; + else xlow=xtest; xhigh=xrao(1,huihui+1); + + end + while (xhigh-xlow>=tolerance) + xxtest=1/2*(xlow+xhigh); + vvectest=[xxtest,y,z]; + uunknown=A\(vvectest-t0)'; + if ((uunknown(1,1)^2/urao^2+uunknown(2,1)^2/vdai^2)<=1) + xhigh=xhigh; xlow=xxtest; + else xlow=xlow; xhigh=xxtest; + end + end + intersecxmax=xlow;flag=flag+1; break; + else %ڵҪҵĵ + intersecxmax=xtest;flag=flag+1; break; + end + end + end + + if flag==2 + d2intersection(i,:)=[-1,y,z,intersecxmin,intersecxmax];i=i+1; + end + end + end + end +end + + + + + + +% жyཻ +for wang=1:nx+1 + x=xrao(1,wang); + for dai=1:nz+1 + z=zrao(1,dai); + A=[t1(1),t2(1); + t1(3),t2(3)]; + b=[x;z]-[t0(1);t0(3)]; + if(det(A)~=0) + unknown=A\b; + if ((unknown(1,1)^2/urao^2+unknown(2,1)^2/vdai^2)<=1) + y=[t1(2),t2(2)]*unknown+t0(2); + d3intersection(n,:)=[x,y,z]; + n=n+1; + end + else + A=[t1(1),t2(1), + t1(2),t2(2); + t1(3),t2(3)]; + test=([x,0,z]-t0)'; + tests=A\test; + if norm(A*tests-test)<=1e-6 %˵ڸѷ + flag=0; + for huihui=1:ny+1 + ytest=yrao(1,huihui); + vectest=[x,ytest,z]; + unknown=A\(vectest-t0)'; + if ((unknown(1,1)^2/urao^2+unknown(2,1)^2/vdai^2)<=1) + yytest=ytest-0.01;vvectest=[x,yytest,z];uunknown=A\(vvectest-t0)'; + if ((uunknown(1,1)^2/urao^2+uunknown(2,1)^2/vdai^2)<=1)%xҪѰ׼ȷ + + if huihui==1 + intersecymin=ytest;flag=flag+1; break; + else ylow=yrao(1,huihui-1); yhigh=ytest; + + end + while (yhigh-ylow>=tolerance) + yytest=1/2*(ylow+yhigh); + vvectest=[x,yytest,z]; + uunknown=A\(vvectest-t0)'; + if ((uunknown(1,1)^2/urao^2+uunknown(2,1)^2/vdai^2)<=1) + yhigh=yytest; ylow=ylow; + else ylow=yytest; yhigh=yhigh; + end + end + intersecymin=yhigh;flag=flag+1; break; + else %ڵҪҵĵ + intersecymin=ytest;flag=flag+1; break; + end + end + end + + for huihui=ny+1:-1:1 + ytest=yrao(1,huihui); + vectest=[x,ytest,z]; + unknown=A\(vectest-t0)'; + if ((unknown(1,1)^2/urao^2+unknown(2,1)^2/vdai^2)<=1) + yytest=ytest+0.01;vvectest=[x,yytest,z];uunknown=A\(vvectest-t0)'; + if ((uunknown(1,1)^2/urao^2+uunknown(2,1)^2/vdai^2)<=1)%xҪѰ׼ȷ + + if huihui==(ny+1) + intersecymax=ytest;flag=flag+1; break; + else ylow=ytest; yhigh=yrao(1,huihui+1); + + end + while (yhigh-ylow>=tolerance) + yytest=1/2*(ylow+yhigh); + vvectest=[x,yytest,z]; + uunknown=A\(vvectest-t0)'; + if ((uunknown(1,1)^2/urao^2+uunknown(2,1)^2/vdai^2)<=1) + yhigh=yhigh; ylow=yytest; + else ylow=ylow; yhigh=yytest; + end + end + intersecymax=ylow;flag=flag+1; break; + else %ڵҪҵĵ + intersecymax=ytest;flag=flag+1; break; + end + end + end + + if flag==2 + d2intersection(i,:)=[x,-1,z,intersecymin,intersecymax];i=i+1; + end + + + end + end + end +end + + +%жzཻ +for wang=1:nx+1 + x=xrao(1,wang); + for dai=1:ny+1 + y=yrao(1,dai); + A=[t1(1),t2(1); + t1(2),t2(2)]; + b=[x;y]-[t0(1);t0(2)]; + if(det(A)~=0) + unknown=A\b; + if ((unknown(1,1)^2/urao^2+unknown(2,1)^2/vdai^2)<=1) + z=[t1(3),t2(3)]*unknown+t0(3); + d3intersection(n,:)=[x,y,z]; + n=n+1; + end + else + A=[t1(1),t2(1), + t1(2),t2(2); + t1(3),t2(3)]; + test=([x,y,0]-t0)'; + tests=A\test; + hen=A*tests-test; + if norm(A*tests-test)<=1e-6 %˵ڸѷ + flag=0; + for huihui=1:nz+1 + + ztest=zrao(1,huihui); + vectest=[x,y,ztest]; + unknown=A\(vectest-t0)'; + if ((unknown(1,1)^2/urao^2+unknown(2,1)^2/vdai^2)<=1) + zztest=ztest-0.01;vvectest=[x,y,zztest];uunknown=A\(vvectest-t0)'; + if ((uunknown(1,1)^2/urao^2+uunknown(2,1)^2/vdai^2)<=1)%xҪѰ׼ȷ + + if huihui==1 + interseczmin=ztest;flag=flag+1; break; + else zlow=zrao(1,huihui-1); zhigh=ztest; + + end + while (zhigh-zlow>=tolerance) + zztest=1/2*(zlow+zhigh); + vvectest=[x,y,zztest]; + uunknown=A\(vvectest-t0)'; + if ((uunknown(1,1)^2/urao^2+uunknown(2,1)^2/vdai^2)<=1) + zhigh=zztest; zlow=zlow; + else zlow=zztest; zhigh=zhigh; + end + end + interseczmin=zhigh;flag=flag+1; break; + else %ڵҪҵĵ + interseczmin=ztest;flag=flag+1; break; + end + end + end + + for huihui=nz+1:-1:1 + ztest=zrao(1,huihui); + vectest=[x,y,ztest]; + unknown=A\(vectest-t0)'; + if ((unknown(1,1)^2/urao^2+unknown(2,1)^2/vdai^2)<=1) + zztest=ztest+0.01;vvectest=[x,y,zztest];uunknown=A\(vvectest-t0)'; + if ((uunknown(1,1)^2/urao^2+uunknown(2,1)^2/vdai^2)<=1)%xҪѰ׼ȷ + + if huihui==(nz+1) + interseczmax=ztest;flag=flag+1; break; + else zlow=ztest; zhigh=zrao(1,huihui+1); + + end + while (zhigh-zlow>=tolerance) + zztest=1/2*(zlow+zhigh); + vvectest=[x,y,zztest]; + uunknown=A\(vvectest-t0)'; + if ((uunknown(1,1)^2/urao^2+uunknown(2,1)^2/vdai^2)<=1) + zhigh=zhigh; zlow=zztest; + else zlow=zlow; zhigh=zztest; + end + end + interseczmax=zlow;flag=flag+1; break; + else %ڵҪҵĵ + interseczmax=ztest;flag=flag+1; break; + end + end + end + + if flag==2 + d2intersection(i,:)=[x,y,-1,interseczmin,interseczmax];i=i+1; + end + + + end + end + end +end + +%% ѷ߽Ľ +% u=uminʱ +%point=t0+umin*t1+v*t2; +%y-zĽ + +% Ŀǰalfa2 ֻzʱ +%alfa1 ûz + +%yz + +for hui=1:nx+1 + x=xrao(1,hui); + if t1(1)==0 break; %Ϊһ㲻ѷõغ + else + u=(x-t0(1))/t1(1); + if (u<=urao) &&(u>=-urao) + v1=sqrt((1-u^2/urao^2)*vdai^2); + d3intersection(n,:)=t0+u*t1+v1*t2;n=n+1; + v2=-sqrt((1-u^2/urao^2)*vdai^2); + d3intersection(n,:)=t0+u*t1+v2*t2;n=n+1; + end + end +end + +% xz + +for hui=1:ny+1 + y=yrao(1,hui); + if t1(2)==0 break; %Ϊһ㲻ѷõغ + else + u=(y-t0(2))/t1(2); + if (u<=urao) && (u>=-urao) + v1=sqrt((1-u^2/urao^2)*vdai^2); + d3intersection(n,:)=t0+u*t1+v1*t2;n=n+1; + v2=-sqrt((1-u^2/urao^2)*vdai^2); + d3intersection(n,:)=t0+u*t1+v2*t2;n=n+1; + end + end +end + +% xy +% ǰ裬t2zķ +for hui=1:nz+1 + z=zrao(1,hui); + if t2(3)==0 break; %Ϊһ㲻ѷõغ + else + v=(z-t0(3))/t1(3); + if (v<=vdai) && (v>=-vdai) + u1=sqrt((1-v^2/vdai^2)*urao^2); + d3intersection(n,:)=t0+u1*t1+v*t2;n=n+1; + u2=-sqrt((1-v^2/vdai^2)*urao^2); + d3intersection(n,:)=t0+u2*t1+v*t2;n=n+1; + end + end +end + + + + +% ɾȥͬ߶μ߶ +d2intersection=unique(d2intersection, 'rows', 'stable'); +m=size(d2intersection,1); +for i=1:m + + if(d2intersection(i,1)==-1) +d3intersection(n,:)=[d2intersection(i,4),d2intersection(i,2),d2intersection(i,3)];n=n+1; +d3intersection(n,:)=[d2intersection(i,5),d2intersection(i,2),d2intersection(i,3)];n=n+1; + for wang=1:nx+1 + j=xrao(1,wang); + if (((j>=d2intersection(i,4))&&(j<=d2intersection(i,5)))||((j>=d2intersection(i,5))&&(j<=d2intersection(i,4)))) + d3intersection(n,:)=[j,d2intersection(i,2),d2intersection(i,3)];n=n+1; + end + end + end + + if(d2intersection(i,2)==-1) +d3intersection(n,:)=[d2intersection(i,1),d2intersection(i,4),d2intersection(i,3)];n=n+1; +d3intersection(n,:)=[d2intersection(i,1),d2intersection(i,5),d2intersection(i,3)];n=n+1; + for wang=1:ny+1 + j=yrao(1,wang); + if (((j>=d2intersection(i,4))&&(j<=d2intersection(i,5)))||((j>=d2intersection(i,5))&&(j<=d2intersection(i,4)))) + d3intersection(n,:)=[d2intersection(i,1),j,d2intersection(i,3)];n=n+1; + end + end + end + + if(d2intersection(i,3)==-1) +d3intersection(n,:)=[d2intersection(i,1),d2intersection(i,2),d2intersection(i,4)];n=n+1; +d3intersection(n,:)=[d2intersection(i,1),d2intersection(i,2),d2intersection(i,5)];n=n+1; + for wang=1:nz+1 + j=zrao(1,wang); + if (((j>=d2intersection(i,4))&&(j<=d2intersection(i,5)))||((j>=d2intersection(i,5))&&(j<=d2intersection(i,4)))) +d3intersection(n,:)=[d2intersection(i,1),d2intersection(i,2),j];n=n+1; + end + end + end +end +d3intersection=unique(d3intersection, 'rows', 'stable'); +[I,J]=find(d3intersection==-1000); +d3intersection(I,:)=[]; + +record=[]; +kitty=size(d3intersection,1); +for i=1:kitty-1 + for j=i+1:kitty + if (norm(d3intersection(i,:)-d3intersection(j,:))<=1e-1)%ֵй + record=[record;j]; + end + end +end +record=unique(record, 'rows', 'stable'); +d3intersection(record,:)=[]; + + + +% A=[t1(1),t2(1); +% t1(2),t2(2); +% t1(3),t2(3)]; +% b=[0;0;0]; +% x=A\b; +% if((x(1)>umax)||(x(1)vmax)||(x(2)=umin)&&(unknown(1,1)<=umax)&&(unknown(2,1)>=vmin)&&(unknown(2,1)<=vmax)) + x=[t1(1),t2(1)]*unknown+t0(1); +% if x<=max(xrao) && x>=min(xrao) + d3intersection(n,:)=[x,y,z]; + n=n+1; +% end + end + %Aʱʱ֪ + %ڵķڸѷƽڣʸϵеʸȥѷt0󣬱ܱʾt1t2 + %ˣõӦu,vֵȻжǷu,vķΧ + %޽ʱжϳ + else + + A=[t1(1),t2(1), + t1(2),t2(2); + t1(3),t2(3)]; + test=([0,y,z]-t0)'; + tests=A\test; + if norm(A*tests-test)<=1e-6 %˵ڸѷ + flag=0; + for huihui=1:nx+1 + xtest=xrao(1,huihui); + vectest=[xtest,y,z]; + unknown=A\(vectest-t0)'; + if ((unknown(1)>=umin)&&(unknown(1)<=umax)&&(unknown(2)>=vmin)&&(unknown(2)<=vmax)) + + xxtest=xtest-0.01;vvectest=[xxtest,y,z];uunknown=A\(vvectest-t0)'; + if ((uunknown(1)>=umin)&&(uunknown(1)<=umax)&&(uunknown(2)>=vmin)&&(uunknown(2)<=vmax))%xҪѰ׼ȷ + + if huihui==1 + intersecxmin=xtest;flag=flag+1; break; + else xlow=xrao(1,huihui-1); xhigh=xtest; + + end + while (xhigh-xlow>=tolerance) + xxtest=1/2*(xlow+xhigh); + vvectest=[xxtest,y,z]; + uunknown=A\(vvectest-t0)'; + if ((uunknown(1)>=umin)&&(uunknown(1)<=umax)&&(uunknown(2)>=vmin)&&(uunknown(2)<=vmax)) + xhigh=xxtest; xlow=xlow; + else xlow=xxtest; xhigh=xhigh; + end + end + intersecxmin=xhigh;flag=flag+1; break; + else %ڵҪҵĵ + intersecxmin=xtest;flag=flag+1; break; + end + end + end + + for huihui=nx+1:-1:1 + xtest=xrao(1,huihui); + vectest=[xtest,y,z]; + unknown=A\(vectest-t0)'; + if ((unknown(1)>=umin)&&(unknown(1)<=umax)&&(unknown(2)>=vmin)&&(unknown(2)<=vmax)) + xxtest=xtest+0.01;vvectest=[xxtest,y,z];uunknown=A\(vvectest-t0)'; + if ((uunknown(1)>=umin)&&(uunknown(1)<=umax)&&(uunknown(2)>=vmin)&&(uunknown(2)<=vmax))%xҪѰ׼ȷ + + if huihui==(nx+1) + intersecxmax=xtest;flag=flag+1; break; + else xlow=xtest; xhigh=xrao(1,huihui+1); + + end + while (xhigh-xlow>=tolerance) + xxtest=1/2*(xlow+xhigh); + vvectest=[xxtest,y,z]; + uunknown=A\(vvectest-t0)'; + if ((uunknown(1)>=umin)&&(uunknown(1)<=umax)&&(uunknown(2)>=vmin)&&(uunknown(2)<=vmax)) + xhigh=xhigh; xlow=xxtest; + else xlow=xlow; xhigh=xxtest; + end + end + intersecxmax=xlow;flag=flag+1; break; + else %ڵҪҵĵ + intersecxmax=xtest;flag=flag+1; break; + end + end + end + + if flag==2 + d2intersection(i,:)=[-1,y,z,intersecxmin,intersecxmax];i=i+1; + end + end + end + end +end + + + + + + +% жyཻ +for wang=1:nx+1 + x=xrao(1,wang); + for dai=1:nz+1 + z=zrao(1,dai); + A=[t1(1),t2(1); + t1(3),t2(3)]; + b=[x;z]-[t0(1);t0(3)]; + if(det(A)~=0) + unknown=A\b; + if ((unknown(1,1)>=umin)&&(unknown(1,1)<=umax)&&(unknown(2,1)>=vmin)&&(unknown(2,1)<=vmax)) + y=[t1(2),t2(2)]*unknown+t0(2); +% if y<=max(yrao) && y>=min(yrao) + d3intersection(n,:)=[x,y,z]; + n=n+1; +% end + end + else + A=[t1(1),t2(1), + t1(2),t2(2); + t1(3),t2(3)]; + test=([x,0,z]-t0)'; + tests=A\test; + if norm(A*tests-test)<=1e-6 %˵ڸѷ + flag=0; + for huihui=1:ny+1 + ytest=yrao(1,huihui); + vectest=[x,ytest,z]; + unknown=A\(vectest-t0)'; + if ((unknown(1)>=umin)&&(unknown(1)<=umax)&&(unknown(2)>=vmin)&&(unknown(2)<=vmax)) + yytest=ytest-0.01;vvectest=[x,yytest,z];uunknown=A\(vvectest-t0)'; + if ((uunknown(1)>=umin)&&(uunknown(1)<=umax)&&(uunknown(2)>=vmin)&&(uunknown(2)<=vmax))%xҪѰ׼ȷ + + if huihui==1 + intersecymin=ytest;flag=flag+1; break; + else ylow=yrao(1,huihui-1); yhigh=ytest; + + end + while (yhigh-ylow>=tolerance) + yytest=1/2*(ylow+yhigh); + vvectest=[x,yytest,z]; + uunknown=A\(vvectest-t0)'; + if ((uunknown(1)>=umin)&&(uunknown(1)<=umax)&&(uunknown(2)>=vmin)&&(uunknown(2)<=vmax)) + yhigh=yytest; ylow=ylow; + else ylow=yytest; yhigh=yhigh; + end + end + intersecymin=yhigh;flag=flag+1; break; + else %ڵҪҵĵ + intersecymin=ytest;flag=flag+1; break; + end + end + end + + for huihui=ny+1:-1:1 + ytest=yrao(1,huihui); + vectest=[x,ytest,z]; + unknown=A\(vectest-t0)'; + if ((unknown(1)>=umin)&&(unknown(1)<=umax)&&(unknown(2)>=vmin)&&(unknown(2)<=vmax)) + yytest=ytest+0.01;vvectest=[x,yytest,z];uunknown=A\(vvectest-t0)'; + if ((uunknown(1)>=umin)&&(uunknown(1)<=umax)&&(uunknown(2)>=vmin)&&(uunknown(2)<=vmax))%xҪѰ׼ȷ + + if huihui==(ny+1) + intersecymax=ytest;flag=flag+1; break; + else ylow=ytest; yhigh=yrao(1,huihui+1); + + end + while (yhigh-ylow>=tolerance) + yytest=1/2*(ylow+yhigh); + vvectest=[x,yytest,z]; + uunknown=A\(vvectest-t0)'; + if ((uunknown(1)>=umin)&&(uunknown(1)<=umax)&&(uunknown(2)>=vmin)&&(uunknown(2)<=vmax)) + yhigh=yhigh; ylow=yytest; + else ylow=ylow; yhigh=yytest; + end + end + intersecymax=ylow;flag=flag+1; break; + else %ڵҪҵĵ + intersecymax=ytest;flag=flag+1; break; + end + end + end + + if flag==2 + d2intersection(i,:)=[x,-1,z,intersecymin,intersecymax];i=i+1; + end + + + end + end + end +end + + +%жzཻ +for wang=1:nx+1 + x=xrao(1,wang); + for dai=1:ny+1 + y=yrao(1,dai); + A=[t1(1),t2(1); + t1(2),t2(2)]; + b=[x;y]-[t0(1);t0(2)]; + if(det(A)~=0) + unknown=A\b; + if ((unknown(1,1)>=umin)&&(unknown(1,1)<=umax)&&(unknown(2,1)>=vmin)&&(unknown(2,1)<=vmax)) + z=[t1(3),t2(3)]*unknown+t0(3); +% if z<=max(zrao) && z>=min(zrao) + d3intersection(n,:)=[x,y,z]; + n=n+1; +% end + end + else + A=[t1(1),t2(1), + t1(2),t2(2); + t1(3),t2(3)]; + test=([x,y,0]-t0)'; + tests=A\test; + hen=A*tests-test; + if norm(A*tests-test)<=1e-6 %˵ڸѷ + flag=0; + for huihui=1:nz+1 + + ztest=zrao(1,huihui); + vectest=[x,y,ztest]; + unknown=A\(vectest-t0)'; + if ((unknown(1)>=umin)&&(unknown(1)<=umax)&&(unknown(2)>=vmin)&&(unknown(2)<=vmax)) + zztest=ztest-0.01;vvectest=[x,y,zztest];uunknown=A\(vvectest-t0)'; + if ((uunknown(1)>=umin)&&(uunknown(1)<=umax)&&(uunknown(2)>=vmin)&&(uunknown(2)<=vmax))%xҪѰ׼ȷ + + if huihui==1 + interseczmin=ztest;flag=flag+1; break; + else zlow=zrao(1,huihui-1); zhigh=ztest; + + end + while (zhigh-zlow>=tolerance) + zztest=1/2*(zlow+zhigh); + vvectest=[x,y,zztest]; + uunknown=A\(vvectest-t0)'; + if ((uunknown(1)>=umin)&&(uunknown(1)<=umax)&&(uunknown(2)>=vmin)&&(uunknown(2)<=vmax)) + zhigh=zztest; zlow=zlow; + else zlow=zztest; zhigh=zhigh; + end + end + interseczmin=zhigh;flag=flag+1; break; + else %ڵҪҵĵ + interseczmin=ztest;flag=flag+1; break; + end + end + end + + for huihui=nz+1:-1:1 + ztest=zrao(1,huihui); + vectest=[x,y,ztest]; + unknown=A\(vectest-t0)'; + if ((unknown(1)>=umin)&&(unknown(1)<=umax)&&(unknown(2)>=vmin)&&(unknown(2)<=vmax)) + zztest=ztest+0.01;vvectest=[x,y,zztest];uunknown=A\(vvectest-t0)'; + if ((uunknown(1)>=umin)&&(uunknown(1)<=umax)&&(uunknown(2)>=vmin)&&(uunknown(2)<=vmax))%xҪѰ׼ȷ + + if huihui==(nz+1) + interseczmax=ztest;flag=flag+1; break; + else zlow=ztest; zhigh=zrao(1,huihui+1); + + end + while (zhigh-zlow>=tolerance) + zztest=1/2*(zlow+zhigh); + vvectest=[x,y,zztest]; + uunknown=A\(vvectest-t0)'; + if ((uunknown(1)>=umin)&&(uunknown(1)<=umax)&&(uunknown(2)>=vmin)&&(uunknown(2)<=vmax)) + zhigh=zhigh; zlow=zztest; + else zlow=zlow; zhigh=zztest; + end + end + interseczmax=zlow;flag=flag+1; break; + else %ڵҪҵĵ + interseczmax=ztest;flag=flag+1; break; + end + end + end + + if flag==2 + d2intersection(i,:)=[x,y,-1,interseczmin,interseczmax];i=i+1; + end + + + end + end + end +end + +%% ѷ߽Ľ +% u=uminʱ +%point=t0+umin*t1+v*t2; +%y-zĽ +boundary=[umin,umax,vmin,vmax]; +for xiang=1:4 + +if xiang<=2 %˵uȡֵ +for hui=1:nx+1 + if t2(1)==0 break; + else + x=xrao(1,hui); + v=(x-t1(1)*boundary(xiang)-t0(1))/t2(1); + if (v>=vmin)&&(v<=vmax) + point=t0+boundary(xiang)*t1+v*t2; + d3intersection(n,:)=point;n=n+1; + end + end +end +else %vȡֵ +for hui=1:nx+1 + if t1(1)==0 break; + else + x=xrao(1,hui); + u=(x-t2(1)*boundary(xiang)-t0(1))/t1(1); + if (u>=umin)&&(u<=umax) + point=t0+u*t1+boundary(xiang)*t2; + d3intersection(n,:)=point;n=n+1; + end + end +end +end +end + +%x-zĽ +boundary=[umin,umax,vmin,vmax]; +for xiang=1:4 + +if xiang<=2 %˵uȡֵ +for hui=1:ny+1 + if t2(2)==0 break; + else + y=yrao(1,hui); + v=(y-t1(2)*boundary(xiang)-t0(2))/t2(2); + if (v>=vmin)&&(v<=vmax) + point=t0+boundary(xiang)*t1+v*t2; + d3intersection(n,:)=point;n=n+1; + end + end +end +else %vȡֵ +for hui=1:ny+1 + if t1(2)==0 break; + else + y=yrao(1,hui); + u=(y-t2(2)*boundary(xiang)-t0(2))/t1(2); + if (u>=umin)&&(u<=umax) + point=t0+u*t1+boundary(xiang)*t2; + d3intersection(n,:)=point;n=n+1; + end + end +end +end +end + +%x-yĽ +boundary=[umin,umax,vmin,vmax]; +for xiang=1:4 + +if xiang<=2 %˵uȡֵ +for hui=1:nz+1 + if t2(3)==0 break; + else + z=zrao(1,hui); + v=(z-t1(3)*boundary(xiang)-t0(3))/t2(3); + if (v>=vmin)&&(v<=vmax) + point=t0+boundary(xiang)*t1+v*t2; + d3intersection(n,:)=point;n=n+1; + end + end +end +else %vȡֵ +for hui=1:nz+1 + if t1(3)==0 break; + else + z=zrao(1,hui); + u=(z-t2(3)*boundary(xiang)-t0(3))/t1(3); + if (u>=umin)&&(u<=umax) + point=t0+u*t1+boundary(xiang)*t2; + d3intersection(n,:)=point;n=n+1; + end + end +end +end +end + +%% ɾȥͬ߶μ߶ +d2intersection=unique(d2intersection, 'rows', 'stable'); +m=size(d2intersection,1); +for i=1:m + + if(d2intersection(i,1)==-1) +d3intersection(n,:)=[d2intersection(i,4),d2intersection(i,2),d2intersection(i,3)];n=n+1; +d3intersection(n,:)=[d2intersection(i,5),d2intersection(i,2),d2intersection(i,3)];n=n+1; + for wang=1:nx+1 + j=xrao(1,wang); + if (((j>=d2intersection(i,4))&&(j<=d2intersection(i,5)))||((j>=d2intersection(i,5))&&(j<=d2intersection(i,4)))) + d3intersection(n,:)=[j,d2intersection(i,2),d2intersection(i,3)];n=n+1; + end + end + end + + if(d2intersection(i,2)==-1) +d3intersection(n,:)=[d2intersection(i,1),d2intersection(i,4),d2intersection(i,3)];n=n+1; +d3intersection(n,:)=[d2intersection(i,1),d2intersection(i,5),d2intersection(i,3)];n=n+1; + for wang=1:ny+1 + j=yrao(1,wang); + if (((j>=d2intersection(i,4))&&(j<=d2intersection(i,5)))||((j>=d2intersection(i,5))&&(j<=d2intersection(i,4)))) + d3intersection(n,:)=[d2intersection(i,1),j,d2intersection(i,3)];n=n+1; + end + end + end + + if(d2intersection(i,3)==-1) +d3intersection(n,:)=[d2intersection(i,1),d2intersection(i,2),d2intersection(i,4)];n=n+1; +d3intersection(n,:)=[d2intersection(i,1),d2intersection(i,2),d2intersection(i,5)];n=n+1; + for wang=1:nz+1 + j=zrao(1,wang); + if (((j>=d2intersection(i,4))&&(j<=d2intersection(i,5)))||((j>=d2intersection(i,5))&&(j<=d2intersection(i,4)))) +d3intersection(n,:)=[d2intersection(i,1),d2intersection(i,2),j];n=n+1; + end + end + end +end + +%% Ӿηĸ +vertex1=t0+umin*t1+vmin*t2; +vertex2=t0+umin*t1+vmax*t2; +vertex3=t0+umax*t1+vmin*t2; +vertex4=t0+umax*t1+vmax*t2; +d3intersection=[d3intersection;vertex1;vertex2;vertex3;vertex4]; +%% +d3intersection=unique(d3intersection, 'rows', 'stable'); +[I,J]=find(d3intersection==-1000); +d3intersection(I,:)=[]; + +record=[]; +kitty=size(d3intersection,1); +for i=1:kitty-1 + for j=i+1:kitty + if (norm(d3intersection(i,:)-d3intersection(j,:))<=1e-4)%ֵй + record=[record;j]; + end + end +end +record=unique(record, 'rows', 'stable'); +d3intersection(record,:)=[]; + +record1=[]; +myhui=size(d3intersection,1); +for i=1:myhui + huix=d3intersection(i,1); + huiy=d3intersection(i,2); + huiz=d3intersection(i,3); + if huix>max(xrao) || huixmax(yrao) || huiymax(zrao) || huizumax)||(x(1)vmax)||(x(2)0)%˴жޱҪĻѷn=size(indice,2); + %ú½ǵ㣬Ϊ1ĵ + matnodes=nodes(connectmf{i,1},1); + origin=coord(matnodes,:); + p=repmat(origin,np,1)+cor;%accorǸûеʵ + + gfmc=[]; + for mei=1:np + + gfmr=[]; + for k=1:n + for r=2:(nf+1) + if(matrixvsfra(connectmf{i,1},k)0)%˴жޱҪĻѷn=size(indice,2); + %ú½ǵ㣬Ϊ1ĵ + matnodes=nodes(connectmf{i,1},1); + origin=coord(matnodes,:); + p=repmat(origin,np,1)+cor;%accorǸûеʵ + for j=1:np + for k=1:n + for r=2:(nf+1) + if(matrixvsfra(connectmf{i,1},k)0)%Ļѷn=size(indice,2); + gfmc=[]; + gfmr=[]; + %for j=1:n %ѷ쵥ԪԴѡȡ + fracp=cell(1,3); + cc=0; + conv=[]; + for k=1:n %ѷ쵥Ԫѡȡ + for r=2:(nf+1) + if(matrixvsfra(connectmf{i,1},k)0)%Ļѷn=size(indice,2); +% for j=1:n +% for k=1:n +% for r=2:(nf+1) +% if(matrixvsfra(connectmf{i,1},k)0)%Ļѷn=size(indice,2); + for j=1:n + for k=1:n + for r=2:(nf+1) + if(matrixvsfra(connectmf{i,1},k)0)%Ļѷn=size(indice,2); + matnodes=nodes(connectmf{i,1},1); + origin=coord(matnodes,:); + p=repmat(origin,np,1)+cor;%accorǸûеʵ + for j=1:n + for k=1:np + %for k=1:6%ʹѭ +% for r=2:(nf+1) +% if(matrixvsfra(i,j)=1&&i-1<=nx) + raomatrix(i + (j - 1) * nx+nx*ny*(k-1), i-1+ (j - 1) * nx+nx*ny*(k-1))=dy(j)*dz(k)/(dx(i)/2); + end + if(i+1>=1&&i+1<=nx) + raomatrix(i + (j - 1) * nx+nx*ny*(k-1), i+1+ (j - 1) * nx+nx*ny*(k-1))=dy(j)*dz(k)/(dx(i)/2); + end + if(j-2>=0&&j-2<=ny-1) + raomatrix(i + (j - 1) * nx+nx*ny*(k-1), i + (j - 2) * nx+nx*ny*(k-1))=dx(i)*dz(k)/(dy(j)/2); + end + if(j>=0&&j<=ny-1) + raomatrix(i + (j-1 ) * nx+nx*ny*(k-1), i + (j ) * nx+nx*ny*(k-1))=dx(i)*dz(k)/(dy(j)/2); + end + if(k-2>=0&&k-2<=nz-1) + raomatrix(i + (j - 1) * nx+nx*ny*(k-1), i + (j - 1) * nx+nx*ny*(k-2))=dx(i)*dy(j)/(dz(k)/2); + end + if(k>=0&&k-2<=nz-1) + raomatrix(i + (j - 1) * nx+nx*ny*(k-1), i + (j - 1) * nx+nx*ny*(k))=dx(i)*dy(j)/(dz(k)/2); + end + end + end +end +%tansmatrixĶԳԼѭ㣬Ч +for i=1:np + for j=1:np + if(raomatrix(i,j)~=0) + transmatrix(i,j)=(raomatrix(i,j)*raomatrix(j,i))/(raomatrix(i,j)+raomatrix(j,i)); + end + end +end + +%% ѷ֮ĴϵȲܲͬѷཻʱĴϵ +%Ƚͬѷһ +% raodu=zeros(m); +% p=1; +% for i=1:nf +% raonumber=size(connect_infrac{i,1},1); +% raodu(p:raonumber,p:p+raonumber-1)=connect_infrac{i,1}; +% p=p+raonumber; +% end +%ѷ֮ĴϵûгԷ͸ + +% for i=1:m +% for j=1:m +% if(raodu(i,j)~=0) +% A=fracnumber(j,:); +% B=fracnumber(k,:); +% A(A==0)=[]; +% B(B==0)=[]; +% raoflag=intersect(A,B); +% length=norm(d3intersection(raoflag(1),:)-d3intersection(raoflag(2),:)); +% rao1=corevsfra(i,:)-d3intersection(raoflag(1),:); +% rao2=d3intersection(raoflag(1),:)-d3intersection(raoflag(2),:); +% disvsfra=norm(cross(rao1',rao2'))/norm(rao2);%ѷĵߵľ +% raofracture(i,j)=length/disvsfra;%ûг͸ʺͷ +% end +% end +% end +p=0; +for raox=1:nf + raonumber=size(connect_infrac{raox,1},1);% raoxѷϵѷ쵥Ԫ + d3intersection=raopoint{raox,1}; + for i=1:raonumber %p:(p+raonumber-1) + for j=1:10 + if(connect_infrac{raox,1}(i,j)~=0) + A=fracnumber(i+p,:); + B=fracnumber(connect_infrac{raox,1}(i,j),:); + A(A==0)=[]; + B(B==0)=[]; + raoflag=intersect(A,B); + length=norm(d3intersection(raoflag(1),:)-d3intersection(raoflag(2),:)); + rao1=corevsfra(i+p,:)-d3intersection(raoflag(1),:); + rao2=d3intersection(raoflag(1),:)-d3intersection(raoflag(2),:); + newdisvsfra=norm(cross(rao1',rao2'))/norm(rao2);%ѷĵߵľ + raofracture(i,connect_infrac{raox,1}(i,j))=length/newdisvsfra;%ûг͸ʺͷ + end + end + end + p=p+raonumber; +end + +for i=1:m + for j=1:m + if(raofracture(i,j)~=0) + transfracture(i,j)=(raofracture(i,j)*raofracture(j,i))/(raofracture(i,j)+raofracture(j,i)); + end + end +end +%% ǻѷཻʱѷ֮Ĵϵ +%ȽûаѷѷIJͬţжͬһѷѷĽߣ +%Ӧѷĵߵľ룬ΪѷĴϵijѷͬһѷ϶ѷཻ +%ѷĴдϵƽΪһϣ +%ӹϵӣʼΪĴϵͱ任ĹȷûijѷһѷĴϵ +% n=size(matrixvsfra,1); +% indice=zeros(nf,10); +% for i=1:n +% raoindice=find(matrixvsfra(i,:)~=0); +% if(size(raoindice,2)>1) +% for k=1:nf +% indice(k,:)=find((matrixvsfra(i,:)=fracstart(k))); +% end +% for k=1:nf +% if(size(indice(k,:),2)>1)%0ѷûУ1˵ѷûѷཻʲ迼ȥı +% rao=zero(size(indice(k,:),2)); +% for j=1:size(indice(k,:),2)%ͬһѷڲ鿴Щͬѷѷཻ +% for z=1:size(indice(k,:),2) +% A=fracnumber(matrixvsfra(i,indice(k,j)),:); +% B=fracnumber(matrixvsfra(i,indice(k,z)),:); +% raoindi=intersect(A,B); +% if(size(raoindi,2)==2) +% length=norm(d3intersection(raoindi(1),:)-d3intersection(raoindi(2),:)); +% rao1=corevsfra(matrixvsfra(i,indice(k,j)),:)-d3intersection(raoindi(1),:); +% rao2=d3intersection(raoindi(1),:)-d3intersection(raoindi(2),:); +% disvsfra=norm(cross(rao1',rao2'))/norm(rao2);%ѷĵߵľ +% rao(j,z)=length/disvsfra;%ûг͸ʺͷ +% +% +% +% +% +% end +% end + +% ȽûаѷѷIJͬţijһѷĴϵڳߵĴϵƽӣΪ򻯴 +% ͱ任ĹȷûijѷһѷĴϵ +n=size(matrixvsfra,1); +indice=zeros(nf,10); +for i=1:n + raoindice=find(matrixvsfra(i,:)~=0); + if(size(raoindice,2)>1) + extratrans=zeros(1,size(raoindice,2)); + for j=1:size(raoindice,2) +% for k=2:(nf+1) +% if(matrixvsfra(i,raoindice(j)) 0 %存在定流量井 + pwf = state.pwf; +end +ipwf = 0; +for i = 1 : nWel + if strcmp(well_schedules_k{i,2},'open') + qgt = 0; + qwt = 0; + jperfall = Wellc{i,3}; + if strcmp(well_schedules_k{i,3},'pro') % prod + if strcmp(well_schedules_k{i,4},'const_q') % const flowrate + ipwf = ipwf + 1; + for j = 1 : Wellc{i,2} + jperf = jperfall(j); + %井筒内无限导流，流量等于各个射孔点流量之和 + qwt = qwt + qwell(jperf); + qgt = qgt + qwell(nc + jperf); + end + if well_schedules_k{i,5} ~= 0 + Wellpara{1,i}.wellname = Wellc{i,1}; + Wellpara{1,i}.qw = abs(qwt)*86.4; + Wellpara{1,i}.qg = abs(qgt)*86.4; + Wellpara{1,i}.pwf = pwf(ipwf); + else + Wellpara{1,i}.wellname = Wellc{i,1}; + Wellpara{1,i}.qw = 0; + Wellpara{1,i}.qg = 0; + Wellpara{1,i}.pwf = pwf(ipwf); + end + % if pwf(ipwf)<= Wellc{i,7} %当井底流压低于这个限制，流量会很大 + % WelChg(i) = 1; + % Weladd = Weladd - 1; + % else + % WelChg(i) = 0; + % end + else % const pwf 生产 + if ~WelChg(i) + Wellpara{1,i}.pwf = well_schedules_k{i,5}; + else + Wellpara{1,i}.pwf = well_schedules_k{i,6}; + end + for j = 1 : Wellc{i,2} + jperf = jperfall(j); + qwt = qwt + qwell(jperf); + qgt = qgt + qwell(nc + jperf); + end + Wellpara{1,i}.wellname = Wellc{i,1}; + Wellpara{1,i}.qw = abs(qwt)*86.4; + Wellpara{1,i}.qg = abs(qgt)*86.4; + end + else %注入井 + if strcmp(well_schedules_k{i,4},'const_q') % const flowrate + ipwf = ipwf + 1; + for j = 1 : Wellc{i,2} + jperf = jperfall(j); + qwt = qwt + qwell(jperf); + end + if well_schedules_k{i,5} ~= 0 + Wellpara{1,i}.wellname = Wellc{i,1}; + Wellpara{1,i}.qw = abs(qwt)*86.4; + Wellpara{1,i}.pwf = pwf(ipwf); + Wellpara{1,i}.qg = 0; + else + Wellpara{1,i}.wellname = Wellc{i,1}; + Wellpara{1,i}.qw = 0; + Wellpara{1,i}.pwf = pwf(ipwf); + Wellpara{1,i}.qg = 0; + end + % if pwf(ipwf) >= Wellc{i,7} %高于这个限制压力后，则井的流量很高 + % WelChg(i) = 1; + % Weladd = Weladd - 1; + % else + % WelChg(i) = 0; + % end + else + if ~WelChg(i) + Wellpara{1,i}.pwf = well_schedules_k{i,5}; + else + Wellpara{1,i}.pwf = well_schedules_k{i,6}; + end + for j = 1 : Wellc{i,2} + jperf = jperfall(j); + qwt = qwt + qwell(jperf); + end + Wellpara{1,i}.wellname = Wellc{i,1}; + Wellpara{1,i}.qw = abs(qwt)*86.4; + Wellpara{1,i}.qg = 0; + end + end + end +end \ No newline at end of file diff --git a/core functions/气水两相流部分代码/eqsOW_MB_gas_water_flow.m b/core functions/气水两相流部分代码/eqsOW_MB_gas_water_flow.m new file mode 100644 index 0000000..67074a9 --- /dev/null +++ b/core functions/气水两相流部分代码/eqsOW_MB_gas_water_flow.m @@ -0,0 +1,159 @@ +function [eqs, Awell, qwell,PVv, Bga, Bwa] = eqsOW_MB_gas_water_flow(state, state0, dt, r, f, os, Wellc, Weladd, pwf, WelChg, well_schedules_k) + +p = state.p; +sw = state.sw; +p0 = state0.p; +sw0 = state0.sw; +[p, sw] = intADI_gas_water_flow(p, sw); + +% z方向上的位势 +% 由于当深度发生变化时，流体的密度也会发生变化，因此不能简单得处理成折算压力的情况计算 +%对位势z进行处理 +z=r.z; +z = intADIz(z); +% Dosi是地面标况下测得的油相密度，Dwsi是地面标况下测得的水相密度 + +% % % % 应力敏感系数 +% % % exp_paramter_1 = -0.04; +% % % reference_pressure = 20; +% % % stress_factor = exp(exp_paramter_1*(p-reference_pressure)); + +% Water Props +BW = f.Bw(p); +muW = f.muw(p); +krW = f.krw(sw); +pcOW = 0; +if f.ifpcgl + pcOW = f.pcgl(sw); +end +pw = p - pcOW; +dpW = os.grad(pw); +% dzw=1e-6*9.8*f.Dwsi*os.grad(z./BW); %水相位势梯度 +dzw=0; +upc = (double(dpW+dzw)<=0);%一定要是折算压力！ +mobW = os.faceUpstr(upc, krW) .* os.faceAvg(1./(BW.*muW)); +% mobW = os.faceUpstr(upc, krW) .* os.faceAvg(1./(BW.*muW)) .* os.faceAvg(stress_factor); +% 针对启动压力梯度的平滑处理 +if f.p_grad_threshold ~= 0 + pcOW0 = f.pcgl(sw0); + pw0 = p0 - pcOW0; + dpW0 = os.grad(pw0); + dzw0=0; + dpW0 = dpW0+dzw0; + pW_grad0 = r.T_diff./r.flowArea.*dpW0; + ratioW = smooth_relu_stable(pW_grad0, f.p_grad_threshold); +else + ratioW = 1; +end +bWvW = -r.T .* mobW .* (dpW).*ratioW; +% bWvW = -r.T .* mobW .* dpW; + +% gas Props +BG = f.Bg(p); +muG = f.mug(p); +krG = f.krrg(sw); +dpG = os.grad(p); +% dzg=1e-6*9.8*f.Dgsi*os.grad(z./BG); %油相位势梯度 +dzg=0; +upc = (double(dpG+dzg)<=0);%一定要是折算压力，否则出错！ +mgbG = os.faceUpstr(upc, krG) .* os.faceAvg(1./(BG.*muG)); +% mobO = os.faceUpstr(upc, krO) .* os.faceAvg(1./(BO.*muO)).* os.faceAvg(stress_factor); +% 针对启动压力梯度的平滑处理 +if f.p_grad_threshold ~= 0 + dpG0 = os.grad(p0); + dzg0=0; + dpG0 = dpG0+dzg0; + pG_grad0 = r.T_diff./r.flowArea.*dpG0; + ratioG = smooth_relu_stable(pG_grad0, f.p_grad_threshold); +else + ratioG = 1; +end +% Knudsen 扩散影响 +bGvG = -r.matrixflag.*f.gas_prop.Kn_modified_factor.*r.T .* mgbG .* dpG.*ratioG ... + -(1-r.matrixflag).*r.T .* mgbG .* dpG.*ratioG; +% Knudsen 扩散影响 +% bGvG = -r.matrixflag.*f.gas_prop.Kn_modified_factor.*r.T .* mgbG .* dpG ... +% -(1-r.matrixflag).*r.T .* mgbG .* dpG; + +% 非达西流发生仅发生在裂缝网格内 +% Forchheimer_factor = 1/(1+kf/mug*beta*density_g*v_gf) +BG0 = f.Bg(p0);muG0 = f.mug(p0);krG0 = f.krrg(sw0);dpG0 = os.grad(p0); +dzg0=0; +upc0 = (double(dpG0+dzg0)<=0);%一定要是折算压力，否则出错！ +mgbG0 = os.faceUpstr(upc0, krG0) .* os.faceAvg(1./(BG0.*muG0)); +% mobO = os.faceUpstr(upc, krO) .* os.faceAvg(1./(BO.*muO)).* os.faceAvg(stress_factor); +v_gf = -(1-r.matrixflag).*r.T .* mgbG0 .* dpG0./r.flowArea; +density_g = f.density_g_sc./BG0; +Forchheimer_factor = 1./(1+(1-r.matrixflag).*r.perm./os.faceAvg(muG0).*f.gas_prop.beta_non_Darcy_flow.*os.faceAvg(density_g).*abs(v_gf)); + +% 分别有基质系统的应力敏感系数 和 裂缝系统的应力敏感系数 +stress_factor = r.matrixflag.*exp(r.stress_factor_matrix*(os.faceAvg(p0)-r.stress_factor_ref_pressure))... ++(1-r.matrixflag).*exp(r.stress_factor_fracture*(os.faceAvg(p0)-r.stress_factor_ref_pressure)); + +% 采用简单的叠加处理 +bWvW = bWvW.*stress_factor.*Forchheimer_factor; +bGvG = bGvG.*stress_factor.*Forchheimer_factor; +% z方向上的位势 +% 由于当深度发生变化时，流体的密度也会发生变化，因此不能简单得处理成折算压力的情况计算 +%对位势z进行处理 +% z=r.z; +% z = intADIz(z); +% Dosi是地面标况下测得的油相密度，Dwsi是地面标况下测得的水相密度 +% dzo=0.01*os.grad(z./BO); %油相位势梯度 +% dzw=0.01*os.grad(z./BW); %水相位势梯度 +% bOvO = -r.T .* mobO .* (dpO+dzo); +% bWvW=-r.T .* mobW .* (dpW+dzw); + +% transfer function (OW) +% [qomf, qofm, qwmf, qwfm] = transFunc(r, krO, krW, BO, muO, BW, muW, p, pw); + +% well equation +[Awell, qwell] = WellEquation_gas_water_flow(r, f, p.val, sw.val, Wellc, Weladd, pwf, WelChg, well_schedules_k); +% Awell=dt*Awell; +% qwell=dt*qwell; + +% langmuir 等温吸附 +V_CH4=r.rpt.*r.V.*(1-r.por(p)).*r.density_rock.*f.gas_prop.VL.*p/f.gas_prop.PL./(1+p/f.gas_prop.PL); +V_CH4_0=r.rpt.*r.V.*(1-r.por(p)).*r.density_rock.*f.gas_prop.VL.*p0/f.gas_prop.PL./(1+p0/f.gas_prop.PL); + +% Accumulation term +PV = r.V .* r.por(p); +PV0 = r.V .* r.por(p0); +Ar_w = 1/dt*(PV .* (sw ./ BW) - PV0 .* (sw0 ./ f.Bw(p0))); +Ar_g = 1/dt*(PV .* ((1 - sw) ./ BG) - PV0 .* ((1 - sw0) ./ f.Bg(p0)) + (V_CH4-V_CH4_0)); + +% Water Equation +eqs{1} = (-os.div(bWvW) - Ar_w); +% 使基质考虑重力，裂缝不考虑重力 +% eqs{1} = (-os.div(-r.T .* mobW .* dpW)-r.rpt.*os.div(-r.T .* mobW .* dzw) - Ar_w)*dt; +% eqs{1} = (-os.div(-r.T .* mobW .* dpW) - Ar_w)*dt; +% eqs{1} = -os.div(bWvW) - Ar_w; +% Oil Equation +eqs{2} = (-os.div(bGvG) - Ar_g); +% eqs{2} = (-os.div(-r.T .* mobO .* dpO)-r.rpt.*os.div(-r.T .* mobO .* dzo) - Ar_o)*dt; +% eqs{2} = (-os.div(-r.T .* mobO .* dpO) - Ar_o)*dt; +PVv = PV.val; +Bwa = BW.val; +Bga = BG.val; +% eqs{2} = -os.div(bOvO) - Ar_o; + + +% Rw = Ar_w.val - qwell(1 : r.nc); +% Ro = Ar_o.val - qwell(r.nc+1 : 2*r.nc); +% PVv = PV.val; +% % PV_all = sum(PVv); +% Bwa = mean(BW.val); +% Boa = mean(BO.val); + +% MBw = abs(Bwa * dt * (sum(Rw)/PV_all)); +% MBo = abs(Boa * dt * (sum(Ro)/PV_all)); + + + + + + + + + + diff --git a/core functions/气水两相流部分代码/fluidPVT_gas_water_flow.m b/core functions/气水两相流部分代码/fluidPVT_gas_water_flow.m new file mode 100644 index 0000000..ac9931c --- /dev/null +++ b/core functions/气水两相流部分代码/fluidPVT_gas_water_flow.m @@ -0,0 +1,16 @@ +function f = fluidPVT_gas_water_flow(Ppr, BG, MUG, Bwi, prw, cw, vwi, cvw, SW, KRG, KRW, PCGL, SWF, KRGF, KRWF, PCGLF, density_g_sc, ifpcgl, rpt) +% f = fluidPVT(Bopb, pb, co, Bwi, prw, cw, vwi, cvw, visopb, cvo, SW, KRO, KRW, PCOW, ifpcow, SWF, KROF, KRWF, PCOWF, rpt,Dosi,Dwsi) +f.Bw = @(p) Bw_gw(p, Bwi, prw, cw); +f.Bg = @(p) Bg_gw(p, BG, Ppr); +f.muw = @(p) muw_gw(p, vwi, prw, cvw); +f.mug = @(p) mug_gw(p, MUG, Ppr); +f.krrg = @(sw) krrg_gw(sw, SW, KRG, SWF, KRGF, rpt); +f.krw = @(sw) krw_gw(sw, SW, KRW, SWF, KRWF, rpt); +f.pcgl = @(sw) pc_gw(sw, SW, PCGL, SWF, PCGLF, rpt); +f.density_g_sc = density_g_sc; +f.ifpcgl = ifpcgl; +% f.Dosi=Dosi; +% f.Dwsi=Dwsi; + + + diff --git a/core functions/气水两相流部分代码/initalSchedule_gas_water_flow.m b/core functions/气水两相流部分代码/initalSchedule_gas_water_flow.m new file mode 100644 index 0000000..1d6c3f0 --- /dev/null +++ b/core functions/气水两相流部分代码/initalSchedule_gas_water_flow.m @@ -0,0 +1,53 @@ +function [Weladd, pwf] = initalSchedule_gas_water_flow(p, sw, Wellc, f, well_schedules_k) +nWel = size(Wellc, 1);%井数 +Weladd = 0; +pwf = zeros(1); +BW = f.Bw(p); +muW = f.muw(p); +krW = f.krw(sw); +BG = f.Bg(p); +muG = f.mug(p); +krG = f.krrg(sw); +Ygt = krG ./ (muG .* BG);%mu代表黏度 +Ygj = krG ./ muG; +Ywt = krW ./ (muW .* BW);%mu代表黏度 +Ywj = krW ./ muW; + +for i = 1 : nWel + if strcmp(well_schedules_k{i,2},'open') + if strcmp(well_schedules_k{i,3},'pro') && strcmp(well_schedules_k{i,4},'const_q') %该井是生产井并定产生产 + Weladd = Weladd + 1; + nper = Wellc{i,2}; %该井的射孔数量 + jperf = zeros(nper,1); + Trans = zeros(nper,1); + Tnp = 0; + Tn = 0; + for j = 1 : nper + jperf(j) = Wellc{i,3}(j);%该射孔点在基质网格和裂缝单元全体中的序号 + Tr = Wellc{i,4}(j);%该射孔点对应的生产指数（缺流度） + Trans(j) = Tr * (Ygt(jperf(j)) + Ywt(jperf(j)));%生产指数 + Tnp = Tnp + Trans(j)*p(jperf(j)); + Tn = Tn + Trans(j); + end + pwf(Weladd) = (Tnp - well_schedules_k{i,5}/86.4) / Tn;%说明井筒无限导流，压力为一个值 + elseif strcmp(well_schedules_k{i,3},'inj') && strcmp(well_schedules_k{i,4},'const_q') %注入井，恒定注入量 + Weladd = Weladd + 1; + nper = Wellc{i,2}; + jperf = zeros(nper,1); + Trans = zeros(nper,1); + Tnp = 0; + Tn = 0; + for j = 1 : nper + jperf(j) = Wellc{i,3}(j); + Tr = Wellc{i,4}(j); + Trans(j) = Tr / BW(jperf(j)) * (Ygj(jperf(j)) + Ywj(jperf(j)));%多相流注入方程 + Tnp = Tnp + Trans(j)*p(jperf(j)); + Tn = Tn + Trans(j); + end + pwf(Weladd) = (Tnp + well_schedules_k{i,5}/86.4) / Tn;%与生产井正好反过来 + else + continue + end + end +end + pwf = pwf'; \ No newline at end of file diff --git a/core functions/气水两相流部分代码/initialRS_gas_water_flow.m b/core functions/气水两相流部分代码/initialRS_gas_water_flow.m new file mode 100644 index 0000000..d14ec7f --- /dev/null +++ b/core functions/气水两相流部分代码/initialRS_gas_water_flow.m @@ -0,0 +1,3 @@ +function state = initialRS_gas_water_flow(P, Sw) +state.p = P; +state.sw = Sw; diff --git a/core functions/气水两相流部分代码/intADI2_gas_water_flow.m b/core functions/气水两相流部分代码/intADI2_gas_water_flow.m new file mode 100644 index 0000000..b9c6276 --- /dev/null +++ b/core functions/气水两相流部分代码/intADI2_gas_water_flow.m @@ -0,0 +1,18 @@ +function [P, Sw, Pwf] = intADI2_gas_water_flow(p, sw, pwf) +n = length(p); +npwf = length(pwf); +Jp = cell(1,3); +Jsw = cell(1,3); +Jpwf = cell(1,3); +Jp{1} = sparse(1:n, 1:n, ones(n,1), n, n); +Jp{2} = sparse(n,n); +Jp{3} = sparse(n,npwf); +Jsw{1} = sparse(n,n); +Jsw{2} = sparse(1:n, 1:n, ones(n,1), n, n); +Jsw{3} = sparse(n,npwf); +Jpwf{1} = sparse(npwf,n); +Jpwf{2} = sparse(npwf,n); +Jpwf{3} = sparse(1:npwf, 1:npwf, ones(npwf,1), npwf, npwf); +P = ADI(p, Jp); +Sw = ADI(sw, Jsw); +Pwf = ADI(pwf, Jpwf); \ No newline at end of file diff --git a/core functions/气水两相流部分代码/intADI_gas_water_flow.m b/core functions/气水两相流部分代码/intADI_gas_water_flow.m new file mode 100644 index 0000000..04ef74b --- /dev/null +++ b/core functions/气水两相流部分代码/intADI_gas_water_flow.m @@ -0,0 +1,10 @@ +function [P, Sw] = intADI_gas_water_flow(p, sw) +n = length(p); +Jp = cell(1,2); +Jsw = cell(1,2); +Jp{1} = sparse(1:n, 1:n, ones(n,1), n, n); +Jp{2} = sparse(n,n); +Jsw{1} = sparse(n,n); +Jsw{2} = sparse(1:n, 1:n, ones(n,1), n, n); +P = ADI(p, Jp); +Sw = ADI(sw, Jsw); \ No newline at end of file diff --git a/core functions/气水两相流部分代码/krrg_gw.m b/core functions/气水两相流部分代码/krrg_gw.m new file mode 100644 index 0000000..f071a27 --- /dev/null +++ b/core functions/气水两相流部分代码/krrg_gw.m @@ -0,0 +1,14 @@ +function h = krrg_gw(sw, SW, KRO, varargin) +n = numel(varargin);%ʾûѷ +if n == 0 + h = interptable(SW, KRO, sw); +else + SWF = varargin{1}; + KROF = varargin{2}; + rpt = varargin{3}; + hm = interptable(SW, KRO, sw); + hf = interptable(SWF, KROF, sw); + h = rpt .* hm + ~rpt .* hf;%ֱΪѷ +end +% h=sw+(1-sw); +end \ No newline at end of file diff --git a/core functions/气水两相流部分代码/krw_gw.m b/core functions/气水两相流部分代码/krw_gw.m new file mode 100644 index 0000000..4f0532e --- /dev/null +++ b/core functions/气水两相流部分代码/krw_gw.m @@ -0,0 +1,15 @@ +function h = krw_gw(sw, SW, KRW, varargin) +n = numel(varargin); +if n == 0 + h = interptable(SW, KRW, sw); +else + SWF = varargin{1}; + KRWF = varargin{2}; + rpt = varargin{3}; + hm = interptable(SW, KRW, sw); + hf = interptable(SWF, KRWF, sw); + h = rpt .* hm + ~rpt .* hf; +end +% h=sw-sw; +end + diff --git a/core functions/气水两相流部分代码/mainRS_MB_gas_water_flow.m b/core functions/气水两相流部分代码/mainRS_MB_gas_water_flow.m new file mode 100644 index 0000000..76dceab --- /dev/null +++ b/core functions/气水两相流部分代码/mainRS_MB_gas_water_flow.m @@ -0,0 +1,153 @@ +function [Times, OutputRs, Wellpara, trun] = mainRS_MB_gas_water_flow(r, f, os, w, state0) +t_start = clock; +dtmin = w.dtmin; +dtmax = w.dtmax; +Nmax = w.Nmax; +epsave = w.epsave; +epsmax = w.epsmax; +yitap = w.yitap; +yitas = w.yitas; +omega = w.omega; +Wellc = w.Wellc; +time = w.time; +well_schedules = w.well_schedules; +% WelChg = w.WelChg; +% tend = w.tend; +count = 0; +t = 0; +state = state0; +OutputRs = cell(2,1); +Wellpara = cell(2,1); +Times = zeros(2,1); +% h0 = waitbar(0,'Please wait...'); +for k = 1:size(well_schedules,1) + dt=dtmin(k); + [Weladd, pwf] = initalSchedule_gas_water_flow(state0.p, state0.sw, Wellc, f, well_schedules{k,1}); +% [Weladd, pwf] = initalSchedule(state0.p, state0.sw, Wellc, f); +WelChg = zeros(size(well_schedules{k,1},1),1); % 后续有用，先不用 +repi = 0; +Newton_step = 0; +cons_Jacob = 0; +leqs_solve_time = 0; +Newtons_vs_time = [0, 0]; +tend = sum(time(1:k),1); +while t < tend + for i = 1 : Nmax + dtc = dt * 86.4; + tic; + [eqs, Awell, qwell, Pvv, Boa, Bwa] = ... + eqsOW_MB_gas_water_flow(state, state0, dtc, r, f, os, Wellc, Weladd, pwf, WelChg, well_schedules{k,1}); + Jacob = Awell; + Ris = qwell; + Jacob(1 : r.nc,1 : 2 * r.nc) = Jacob(1 : r.nc,1 : 2 * r.nc) + [eqs{1}.jac{1} eqs{1}.jac{2}]; + Jacob(r.nc + 1 : 2 * r.nc,1 : 2 * r.nc) = Jacob(r.nc + 1 : 2 * r.nc,1 : 2 * r.nc) + [eqs{2}.jac{1} eqs{2}.jac{2}]; + Ris(1 : r.nc) = Ris(1 : r.nc) + eqs{1}.val ; + Ris(r.nc + 1: 2 * r.nc) = Ris(r.nc + 1: 2 * r.nc) + eqs{2}.val ; + % 将误差无因次化，用以判断是否收敛 + Dimensionless_Ris = Ris(1: 2 * r.nc)./ [Pvv;Pvv] .* [Bwa;Boa] .* dtc; + cons_Jacob_lo=toc; + cons_Jacob=cons_Jacob+cons_Jacob_lo; +% PVall = sum(Pvv); +% MBw = Bwa*dtc*abs(sum(Ris(1:r.nc))/PVall); +% MBo = Boa*dtc*abs(sum(Ris(r.nc+1:2*r.nc))/PVall); +% CNVw = max(Bwa*dtc*abs(Ris(1:r.nc)./Pvv)); +% CNVo = max(Boa*dtc*abs(Ris(r.nc+1:2*r.nc)./Pvv)); +% [L,U] = ilu(-Jacob); +% tol = 1e-6; +% maxit = 50; +% [X, ~] = bicgstab(-Jacob,Ris,tol,maxit,L,U); + tic; +% tol = 1e-12; +% maxit = 200; +% [X0,fl0,rr0,it0,rv0] = gmres(-Jacob,Ris,[],tol,maxit); +% [L,U] = ilu(-Jacob,struct('type','ilutp','droptol',1e-6)); +% [X1,fl1,rr1,it1,rv1] = gmres(-Jacob,Ris,[],tol,maxit,L,U); + X = -Jacob \ Ris; + leqs_time=toc; + leqs_solve_time=leqs_solve_time+leqs_time; + Newton_step=Newton_step+1; + dsw = X(r.nc + 1 : 2*r.nc); + dp = X(1 : r.nc); + state.p = state.p + dp; + state.sw = state.sw + dsw; + % deltp=state.p-state0.p; + % deltsw=state.sw-state0.sw; + if Weladd > 0 + dpwf = X(2 * r.nc + 1 : end); + pwf = pwf + dpwf; + state.pwf = pwf; + end +% if MBw <= epsave && MBo <= epsave && CNVw <= epsmax && CNVo <=epsmax && max(dsw)<=0.02 && max(dp)<=1 +% break +% end + % 为适应更一般的情况，将Ris无因次化 + + if mean(abs(Dimensionless_Ris)) <= epsave && max(abs(Dimensionless_Ris)) <=epsmax + break + end + +% [L,U] = ilu(-Jacob); +% tol = 1e-6; +% maxit = 50; +% [X, ~] = bicgstab(-Jacob,Ris,tol,maxit,L,U); +% raodai=condest(Jacob); +% if condest(Jacob)>50000 +% dt = dt / 2; +% else + end + + if i == Nmax + repi = repi + 1; + if repi == 5 + error('too many iter') + end + if repi == 1 + dt = dt / 2; + elseif repi == 2 + dt = dt / 3; + else + dt = dt / 10; + end +% dt = max(dt, w.dtmin); + state = state0; + else + repi = 0; + t = t + dt; + count = count + 1; + Times(count) = t; + OutputRs{count} = state; + Newtons_vs_time = [Newtons_vs_time; t, Newton_step]; +% qwell=qwell/dtc;%转换为单位时间的流量 + [Wellpara_t, WelChg, Weladd] = calcWellequation_gas_water_flow(Weladd, Wellc, WelChg, well_schedules{k,1}, r.nc, qwell, state); + Wellpara{count} = Wellpara_t; + state0 = state; + tm = ADtimestep(yitap, yitas, omega, dp, dsw); +% tm=1; + dt = dt * tm; + if t + dt > tend + dt = tend - t; + end + if dt >= dtmax(k) + dt = dtmax(k); + end + if i ~= Nmax + % waitbar(t / tend); + % disp(t); + fprintf('正在计算：%.4f天/共%.4f天\n', t, sum(time)); + + end + if t>300 + flag = 1; + end + end +end +end +trun.cons_Jacob=cons_Jacob; +trun.leqs_solve_time=leqs_solve_time; +trun.total_simulation_time = etime(clock,t_start); +trun.Newton_step=Newton_step; +trun.Newtons_vs_time=Newtons_vs_time; +fprintf('计算完成'); +% close(h0); + + diff --git a/core functions/气水两相流部分代码/mug_gw.m b/core functions/气水两相流部分代码/mug_gw.m new file mode 100644 index 0000000..f9bf958 --- /dev/null +++ b/core functions/气水两相流部分代码/mug_gw.m @@ -0,0 +1,3 @@ +function h = mug_gw(p, MUG, Ppr) +h = interptable(Ppr, MUG, p); +end \ No newline at end of file diff --git a/core functions/气水两相流部分代码/muw_gw.m b/core functions/气水两相流部分代码/muw_gw.m new file mode 100644 index 0000000..ca3fdc2 --- /dev/null +++ b/core functions/气水两相流部分代码/muw_gw.m @@ -0,0 +1,2 @@ +function h = muw_gw(p, vwi, prw, cvw) +h = vwi + cvw * (p - prw); diff --git a/core functions/气水两相流部分代码/pc_gw.m b/core functions/气水两相流部分代码/pc_gw.m new file mode 100644 index 0000000..49e36cc --- /dev/null +++ b/core functions/气水两相流部分代码/pc_gw.m @@ -0,0 +1,16 @@ +function h = pc_gw(sw, SW, PCOW, varargin) +n = numel(varargin); +if PCOW == 0 + h = 0; +else + if n == 0 + h = interptable(SW, PCOW, sw); + else + SWF = varargin{1}; + PCOWF = varargin{2}; + rpt = varargin{3}; + hm = interptable(SW, PCOW, sw); + hf = interptable(SWF, PCOWF, sw); + h = rpt .* hm + ~rpt .* hf; + end +end diff --git a/core functions/油水两相流部分代码/Bo_ow.m b/core functions/油水两相流部分代码/Bo_ow.m new file mode 100644 index 0000000..cae53b0 --- /dev/null +++ b/core functions/油水两相流部分代码/Bo_ow.m @@ -0,0 +1,3 @@ +function h = Bo_ow(p, BO, Ppr) +h = interptable(Ppr, BO, p); +end \ No newline at end of file diff --git a/core functions/油水两相流部分代码/Bw_ow.m b/core functions/油水两相流部分代码/Bw_ow.m new file mode 100644 index 0000000..f4ec6ea --- /dev/null +++ b/core functions/油水两相流部分代码/Bw_ow.m @@ -0,0 +1,2 @@ +function h = Bw_ow(p, Bwi, prw, cw) +h = Bwi * (1 - cw * (p - prw)); \ No newline at end of file diff --git a/core functions/油水两相流部分代码/WellEquation_oil_water_flow.m b/core functions/油水两相流部分代码/WellEquation_oil_water_flow.m new file mode 100644 index 0000000..13d7eaa --- /dev/null +++ b/core functions/油水两相流部分代码/WellEquation_oil_water_flow.m @@ -0,0 +1,112 @@ +function [Awell, qwell] = WellEquation_oil_water_flow(r, f, p, sw, Wellc, Weladd, pwf, WelChg, well_schedules_k) +nWel = size(Wellc, 1);%井的总数 +% Wellcpara: welltype(1) nperf(2) index(3) Tr(j)ans(4) protype(5) value(6) consTr(j)ain(7) Wellc(nWel, 6) +% welltype = 1 prod, welltype = 2 inj +% protype = 1 const flowrate, protype = 2 const pwf +nmatr = 2 * r.nc + Weladd;%加上定产井的数量，结果为未知数的总数，压力、饱和度和井底流压 +nzw = 10 * nWel; +% Awell = spalloc(nmatr,nmatr,nzw); +Awell = spalloc(nmatr,nmatr,nzw); +qwell = spalloc(nmatr,1,nzw); +% Dimensionless_wellflow=[]; +if Weladd == 0 %%定产井的数量为0 + [p, sw] = intADI_oil_water_flow(p, sw); +else + [p, sw, pwf] = intADI2_oil_water_flow(p, sw, pwf); +end +BW = f.Bw(p); +muW = f.muw(p); +krW = f.krw(sw); +BO = f.Bo(p); +muO = f.muo(p); +krO = f.kro(sw); +Yot = krO ./ (muO .* BO); +Ywt = krW ./ (muW .* BW); +Yoj = krO ./ muO; +Ywj = krW ./ muW; +pcOW = 0; +if f.ifpcow%若为0，则毛管力为0 + pcOW = f.pcow(sw); +end +pw = p - pcOW; +ipwf = 0; +for i = 1 : nWel + if strcmp(well_schedules_k{i,2},'open') + jperfall = Wellc{i,3};%该井射孔点所在网格或单元序号 + if strcmp(well_schedules_k{i,3},'pro') % prod + if strcmp(well_schedules_k{i,4},'const_q') % const flowrate + ipwf = ipwf + 1; + Tr = Wellc{i,4}; + for j = 1 : Wellc{i,2} + jperf = jperfall(j); + Yo = Yot(jperf); + Yw = Ywt(jperf); + qo = -Tr(j) .* Yo .*(p(jperf) - pwf(ipwf)); + qw = -Tr(j) .* Yw .*(pw(jperf) - pwf(ipwf)); + %前nc行是水相方程 + Awell(jperf, :) = [qw.jac{1} qw.jac{2} qw.jac{3}]; + qwell(jperf) = qw.val; + %后nc行是水相方程 + Awell(r.nc + jperf, :) = [qo.jac{1} qo.jac{2} qo.jac{3}]; + qwell(r.nc + jperf) = qo.val; + %把该井所有射孔点的产油、产水累加起来 + % 在定流量情况下，为了使得能够适用于更一般情况，比如气井流量较大，导致该方程MR迭代收敛条件过高，因此需要无因次化 + Awell(2*r.nc + ipwf, :) = Awell(2*r.nc + ipwf, :) + ... + [qw.jac{1} qw.jac{2} qw.jac{3}] + [qo.jac{1} qo.jac{2} qo.jac{3}]; + qwell(2*r.nc + ipwf) = qwell(2*r.nc + ipwf) + qw.val + qo.val; + end + qwell(2*r.nc + ipwf) = (qwell(2*r.nc + ipwf) + well_schedules_k{i,5}/86.4); + else % const pwf 定压生产 + if ~WelChg(i) + pwfc = well_schedules_k{i,5}; + else + pwfc = well_schedules_k{i,6}; + end + Tr = Wellc{i,4}; + for j = 1 : Wellc{i,2} + jperf = jperfall(j); + Yo = Yot(jperf); + Yw = Ywt(jperf); + qo = -Tr(j) .* Yo .*(p(jperf) - pwfc); + qw = -Tr(j) .* Yw .*(pw(jperf) - pwfc); + Awell(jperf, 1 : 2 * r.nc) = [qw.jac{1} qw.jac{2}]; + qwell(jperf) = qw.val; + Awell(r.nc + jperf, 1 : 2 * r.nc) = [qo.jac{1} qo.jac{2}]; + qwell(r.nc + jperf) = qo.val; + end + end + else %注入井 + if strcmp(well_schedules_k{i,4},'const_q') % const flowrate + ipwf = ipwf + 1; + Tr = Wellc{i,4}; + for j = 1 : Wellc{i,2} + jperf = jperfall(j); + Yo = Yoj(jperf); + Yw = Ywj(jperf); + qw = -Tr(j) ./ BW(jperf) .* (Yo + Yw) .* (pw(jperf) - pwf(ipwf)); + Awell(jperf, :) = [qw.jac{1} qw.jac{2} qw.jac{3}]; + qwell(jperf) = qw.val; + Awell(2*r.nc + ipwf, :) = Awell(2*r.nc + ipwf, :) + ... + [qw.jac{1} qw.jac{2} qw.jac{3}]; + qwell(2*r.nc + ipwf) = qwell(2*r.nc + ipwf) + qw.val; + end + qwell(2*r.nc + ipwf) = qwell(2*r.nc + ipwf) - well_schedules_k{i,5}/86.4; + else %定压注入 + if ~WelChg(i) + pwfc = well_schedules_k{i,5}; + else + pwfc = well_schedules_k{i,6}; + end + Tr = Wellc{i,4}; + for j = 1 : Wellc{i,2} + jperf = jperfall(j); + Yo = Yoj(jperf); + Yw = Ywj(jperf); + qw =- Tr(j) ./ BW(jperf) .* (Yo + Yw) .* (pw(jperf) - pwfc); + Awell(jperf, 1 : 2 * r.nc) = [qw.jac{1} qw.jac{2}]; + qwell(jperf) = qw.val; + end + end + end + end +end \ No newline at end of file diff --git a/core functions/油水两相流部分代码/cal_oil_prop.m b/core functions/油水两相流部分代码/cal_oil_prop.m new file mode 100644 index 0000000..89c7eed --- /dev/null +++ b/core functions/油水两相流部分代码/cal_oil_prop.m @@ -0,0 +1,5 @@ +function [Ppr,BG,MUG] = cal_oil_prop(prg,Bgi,cg,vgi,cvg) +Ppr = (0.1:0.1:100)'; +BG = Bgi * (1 - cg * (Ppr - prg)); +MUG = vgi + cvg * (Ppr - prg); +end \ No newline at end of file diff --git a/core functions/油水两相流部分代码/calcWellequation_oil_water_flow.m b/core functions/油水两相流部分代码/calcWellequation_oil_water_flow.m new file mode 100644 index 0000000..abf635d --- /dev/null +++ b/core functions/油水两相流部分代码/calcWellequation_oil_water_flow.m @@ -0,0 +1,98 @@ +function [Wellpara, WelChg, Weladd] = calcWellequation_oil_water_flow(Weladd, Wellc, WelChg, well_schedules_k, nc, qwell, state) +%Weladd表示定流量井的数量，Wellc表示井参数 +% Wellcpara: welltype(1) nperf(2) index(3) Tr(j)ans(4) protype(5) value(6) consTr(j)ain(7) Wellc(nWel, 6) +% welltype = 1 prod, welltype = 2 inj +% protype = 1 const flowrate, protype = 2 const pwf +nWel = size(Wellc, 1);%井数 +Wellpara = cell(1, nWel); +if Weladd > 0 %存在定流量井 + pwf = state.pwf; +end +ipwf = 0; +for i = 1 : nWel + if strcmp(well_schedules_k{i,2},'open') + qot = 0; + qwt = 0; + jperfall = Wellc{i,3}; + if strcmp(well_schedules_k{i,3},'pro') % prod + if strcmp(well_schedules_k{i,4},'const_q') % const flowrate + ipwf = ipwf + 1; + for j = 1 : Wellc{i,2} + jperf = jperfall(j); + %井筒内无限导流，流量等于各个射孔点流量之和 + qwt = qwt + qwell(jperf); + qot = qot + qwell(nc + jperf); + end + if well_schedules_k{i,5} ~= 0 + Wellpara{1,i}.wellname = Wellc{i,1}; + Wellpara{1,i}.qw = abs(qwt)*86.4; + Wellpara{1,i}.qo = abs(qot)*86.4; + Wellpara{1,i}.pwf = pwf(ipwf); + else + Wellpara{1,i}.wellname = Wellc{i,1}; + Wellpara{1,i}.qw = 0; + Wellpara{1,i}.qo = 0; + Wellpara{1,i}.pwf = pwf(ipwf); + end + % if pwf(ipwf)<= Wellc{i,7} %当井底流压低于这个限制，流量会很大 + % WelChg(i) = 1; + % Weladd = Weladd - 1; + % else + % WelChg(i) = 0; + % end + else % const pwf 生产 + if ~WelChg(i) + Wellpara{1,i}.pwf = well_schedules_k{i,5}; + else + Wellpara{1,i}.pwf = well_schedules_k{i,6}; + end + for j = 1 : Wellc{i,2} + jperf = jperfall(j); + qwt = qwt + qwell(jperf); + qot = qot + qwell(nc + jperf); + end + Wellpara{1,i}.wellname = Wellc{i,1}; + Wellpara{1,i}.qw = abs(qwt)*86.4; + Wellpara{1,i}.qo = abs(qot)*86.4; + end + else %注入井 + if strcmp(well_schedules_k{i,4},'const_q') % const flowrate + ipwf = ipwf + 1; + for j = 1 : Wellc{i,2} + jperf = jperfall(j); + qwt = qwt + qwell(jperf); + end + if well_schedules_k{i,5} ~= 0 + Wellpara{1,i}.wellname = Wellc{i,1}; + Wellpara{1,i}.qw = abs(qwt)*86.4; + Wellpara{1,i}.pwf = pwf(ipwf); + Wellpara{1,i}.qo = 0; + else + Wellpara{1,i}.wellname = Wellc{i,1}; + Wellpara{1,i}.qw = 0; + Wellpara{1,i}.pwf = pwf(ipwf); + Wellpara{1,i}.qo = 0; + end + % if pwf(ipwf) >= Wellc{i,7} %高于这个限制压力后，则井的流量很高 + % WelChg(i) = 1; + % Weladd = Weladd - 1; + % else + % WelChg(i) = 0; + % end + else + if ~WelChg(i) + Wellpara{1,i}.pwf = well_schedules_k{i,5}; + else + Wellpara{1,i}.pwf = well_schedules_k{i,6}; + end + for j = 1 : Wellc{i,2} + jperf = jperfall(j); + qwt = qwt + qwell(jperf); + end + Wellpara{1,i}.wellname = Wellc{i,1}; + Wellpara{1,i}.qw = abs(qwt)*86.4; + Wellpara{1,i}.qo = 0; + end + end + end +end \ No newline at end of file diff --git a/core functions/油水两相流部分代码/eqsOW_MB_oil_water_flow.m b/core functions/油水两相流部分代码/eqsOW_MB_oil_water_flow.m new file mode 100644 index 0000000..39b9a9f --- /dev/null +++ b/core functions/油水两相流部分代码/eqsOW_MB_oil_water_flow.m @@ -0,0 +1,155 @@ +function [eqs, Awell, qwell,PVv, Bga, Bwa] = eqsOW_MB_oil_water_flow(state, state0, dt, r, f, os, Wellc, Weladd, pwf, WelChg, well_schedules_k) + +p = state.p; +sw = state.sw; +p0 = state0.p; +sw0 = state0.sw; +[p, sw] = intADI_oil_water_flow(p, sw); + +% z方向上的位势 +% 由于当深度发生变化时，流体的密度也会发生变化，因此不能简单得处理成折算压力的情况计算 +%对位势z进行处理 +z=r.z; +z = intADIz(z); +% Dosi是地面标况下测得的油相密度，Dwsi是地面标况下测得的水相密度 + +% % % % 应力敏感系数 +% % % exp_paramter_1 = -0.04; +% % % reference_pressure = 20; +% % % stress_factor = exp(exp_paramter_1*(p-reference_pressure)); + +% Water Props +BW = f.Bw(p); +muW = f.muw(p); +krW = f.krw(sw); +pcOW = 0; +if f.ifpcow + pcOW = f.pcow(sw); +end +pw = p - pcOW; +dpW = os.grad(pw); +% dzw=1e-6*9.8*f.Dwsi*os.grad(z./BW); %水相位势梯度 +dzw=0; +upc = (double(dpW+dzw)<=0);%一定要是折算压力！ +mobW = os.faceUpstr(upc, krW) .* os.faceAvg(1./(BW.*muW)); +% mobW = os.faceUpstr(upc, krW) .* os.faceAvg(1./(BW.*muW)) .* os.faceAvg(stress_factor); +% 针对启动压力梯度的平滑处理 +if f.p_grad_threshold ~= 0 + pcOW0 = f.pcgl(sw0); + pw0 = p0 - pcOW0; + dpW0 = os.grad(pw0); + dzw0=0; + dpW0 = dpW0+dzw0; + pW_grad0 = r.T_diff./r.flowArea.*dpW0; + ratioW = smooth_relu_stable(pW_grad0, f.p_grad_threshold); +else + ratioW = 1; +end +bWvW = -r.T .* mobW .* (dpW).*ratioW; +% bWvW = -r.T .* mobW .* dpW; + +% gas Props +BO = f.Bo(p); +muO = f.muo(p); +krO = f.kro(sw); +dpO = os.grad(p); +% dzg=1e-6*9.8*f.Dgsi*os.grad(z./BG); %油相位势梯度 +dzo=0; +upc = (double(dpO+dzo)<=0);%一定要是折算压力，否则出错！ +mobO = os.faceUpstr(upc, krO) .* os.faceAvg(1./(BO.*muO)); +% mobO = os.faceUpstr(upc, krO) .* os.faceAvg(1./(BO.*muO)).* os.faceAvg(stress_factor); +% 针对启动压力梯度的平滑处理 +if f.p_grad_threshold ~= 0 + dpO0 = os.grad(p0); + dzo0=0; + dpO0 = dpO0+dzo0; + pO_grad0 = r.T_diff./r.flowArea.*dpO0; + ratioO = smooth_relu_stable(pO_grad0, f.p_grad_threshold); +else + ratioO = 1; +end +% Knudsen 扩散影响 +bOvO = -r.matrixflag.*r.T .* mobO .* dpO.*ratioO ... + -(1-r.matrixflag).*r.T .* mobO .* dpO.*ratioO; +% Knudsen 扩散影响 +% bGvG = -r.matrixflag.*f.gas_prop.Kn_modified_factor.*r.T .* mgbG .* dpG ... +% -(1-r.matrixflag).*r.T .* mgbG .* dpG; + +% 非达西流发生仅发生在裂缝网格内 +% Forchheimer_factor = 1/(1+kf/mug*beta*density_g*v_gf) +BO0 = f.Bo(p0);muO0 = f.muo(p0);krO0 = f.kro(sw0);dpO0 = os.grad(p0); +dzo0=0; +upc0 = (double(dpO0+dzo0)<=0);%一定要是折算压力，否则出错！ +mobO0 = os.faceUpstr(upc0, krO0) .* os.faceAvg(1./(BO0.*muO0)); +% mobO = os.faceUpstr(upc, krO) .* os.faceAvg(1./(BO.*muO)).* os.faceAvg(stress_factor); +v_of = -(1-r.matrixflag).*r.T .* mobO0 .* dpO0./r.flowArea; +density_o = f.density_o_sc./BO0; +Forchheimer_factor = 1./(1+(1-r.matrixflag).*r.perm./os.faceAvg(muO0).*f.beta_non_Darcy_flow.*os.faceAvg(density_o).*abs(v_of)); + +% 分别有基质系统的应力敏感系数 和 裂缝系统的应力敏感系数 +stress_factor = r.matrixflag.*exp(r.stress_factor_matrix*(os.faceAvg(p0)-r.stress_factor_ref_pressure))... ++(1-r.matrixflag).*exp(r.stress_factor_fracture*(os.faceAvg(p0)-r.stress_factor_ref_pressure)); + +% 采用简单的叠加处理 +bWvW = bWvW.*stress_factor.*Forchheimer_factor; +bOvO = bOvO.*stress_factor.*Forchheimer_factor; +% z方向上的位势 +% 由于当深度发生变化时，流体的密度也会发生变化，因此不能简单得处理成折算压力的情况计算 +%对位势z进行处理 +% z=r.z; +% z = intADIz(z); +% Dosi是地面标况下测得的油相密度，Dwsi是地面标况下测得的水相密度 +% dzo=0.01*os.grad(z./BO); %油相位势梯度 +% dzw=0.01*os.grad(z./BW); %水相位势梯度 +% bOvO = -r.T .* mobO .* (dpO+dzo); +% bWvW=-r.T .* mobW .* (dpW+dzw); + +% transfer function (OW) +% [qomf, qofm, qwmf, qwfm] = transFunc(r, krO, krW, BO, muO, BW, muW, p, pw); + +% well equation +[Awell, qwell] = WellEquation_oil_water_flow(r, f, p.val, sw.val, Wellc, Weladd, pwf, WelChg, well_schedules_k); +% Awell=dt*Awell; +% qwell=dt*qwell; + +% Accumulation term +PV = r.V .* r.por(p); +PV0 = r.V .* r.por(p0); +Ar_w = 1/dt*(PV .* (sw ./ BW) - PV0 .* (sw0 ./ f.Bw(p0))); +Ar_o = 1/dt*(PV .* ((1 - sw) ./ BO) - PV0 .* ((1 - sw0) ./ f.Bo(p0))); + +% Water Equation +eqs{1} = (-os.div(bWvW) - Ar_w); +% 使基质考虑重力，裂缝不考虑重力 +% eqs{1} = (-os.div(-r.T .* mobW .* dpW)-r.rpt.*os.div(-r.T .* mobW .* dzw) - Ar_w)*dt; +% eqs{1} = (-os.div(-r.T .* mobW .* dpW) - Ar_w)*dt; +% eqs{1} = -os.div(bWvW) - Ar_w; +% Oil Equation +eqs{2} = (-os.div(bOvO) - Ar_o); +% eqs{2} = (-os.div(-r.T .* mobO .* dpO)-r.rpt.*os.div(-r.T .* mobO .* dzo) - Ar_o)*dt; +% eqs{2} = (-os.div(-r.T .* mobO .* dpO) - Ar_o)*dt; +PVv = PV.val; +Bwa = BW.val; +Bga = BO.val; +% eqs{2} = -os.div(bOvO) - Ar_o; + + +% Rw = Ar_w.val - qwell(1 : r.nc); +% Ro = Ar_o.val - qwell(r.nc+1 : 2*r.nc); +% PVv = PV.val; +% % PV_all = sum(PVv); +% Bwa = mean(BW.val); +% Boa = mean(BO.val); + +% MBw = abs(Bwa * dt * (sum(Rw)/PV_all)); +% MBo = abs(Boa * dt * (sum(Ro)/PV_all)); + + + + + + + + + + diff --git a/core functions/油水两相流部分代码/fluidPVT_oil_water_flow.m b/core functions/油水两相流部分代码/fluidPVT_oil_water_flow.m new file mode 100644 index 0000000..8ca806d --- /dev/null +++ b/core functions/油水两相流部分代码/fluidPVT_oil_water_flow.m @@ -0,0 +1,16 @@ +function f = fluidPVT_oil_water_flow(Ppr, BO, MUO, Bwi, prw, cw, vwi, cvw, SW, KRO, KRW, PCOW, SWF, KROF, KRWF, PCOWF, density_o_sc, ifpcow, rpt) +% f = fluidPVT(Bopb, pb, co, Bwi, prw, cw, vwi, cvw, visopb, cvo, SW, KRO, KRW, PCOW, ifpcow, SWF, KROF, KRWF, PCOWF, rpt,Dosi,Dwsi) +f.Bw = @(p) Bw_ow(p, Bwi, prw, cw); +f.Bo = @(p) Bo_ow(p, BO, Ppr); +f.muw = @(p) muw_ow(p, vwi, prw, cvw); +f.muo = @(p) muo_ow(p, MUO, Ppr); +f.kro = @(sw) kro_ow(sw, SW, KRO, SWF, KROF, rpt); +f.krw = @(sw) krw_ow(sw, SW, KRW, SWF, KRWF, rpt); +f.pcow = @(sw) pcow(sw, SW, PCOW, SWF, PCOWF, rpt); +f.density_o_sc = density_o_sc; +f.ifpcow = ifpcow; +% f.Dosi=Dosi; +% f.Dwsi=Dwsi; + + + diff --git a/core functions/油水两相流部分代码/initalSchedule_oil_water_flow.m b/core functions/油水两相流部分代码/initalSchedule_oil_water_flow.m new file mode 100644 index 0000000..0b320a8 --- /dev/null +++ b/core functions/油水两相流部分代码/initalSchedule_oil_water_flow.m @@ -0,0 +1,53 @@ +function [Weladd, pwf] = initalSchedule_oil_water_flow(p, sw, Wellc, f, well_schedules_k) +nWel = size(Wellc, 1);%井数 +Weladd = 0; +pwf = zeros(1); +BW = f.Bw(p); +muW = f.muw(p); +krW = f.krw(sw); +BO = f.Bo(p); +muO = f.muo(p); +krO = f.kro(sw); +Yot = krO ./ (muO .* BO);%mu代表黏度 +Yoj = krO ./ muO; +Ywt = krW ./ (muW .* BW);%mu代表黏度 +Ywj = krW ./ muW; + +for i = 1 : nWel + if strcmp(well_schedules_k{i,2},'open') + if strcmp(well_schedules_k{i,3},'pro') && strcmp(well_schedules_k{i,4},'const_q') %该井是生产井并定产生产 + Weladd = Weladd + 1; + nper = Wellc{i,2}; %该井的射孔数量 + jperf = zeros(nper,1); + Trans = zeros(nper,1); + Tnp = 0; + Tn = 0; + for j = 1 : nper + jperf(j) = Wellc{i,3}(j);%该射孔点在基质网格和裂缝单元全体中的序号 + Tr = Wellc{i,4}(j);%该射孔点对应的生产指数（缺流度） + Trans(j) = Tr * (Yot(jperf(j)) + Ywt(jperf(j)));%生产指数 + Tnp = Tnp + Trans(j)*p(jperf(j)); + Tn = Tn + Trans(j); + end + pwf(Weladd) = (Tnp - well_schedules_k{i,5}/86.4) / Tn;%说明井筒无限导流，压力为一个值 + elseif strcmp(well_schedules_k{i,3},'inj') && strcmp(well_schedules_k{i,4},'const_q') %注入井，恒定注入量 + Weladd = Weladd + 1; + nper = Wellc{i,2}; + jperf = zeros(nper,1); + Trans = zeros(nper,1); + Tnp = 0; + Tn = 0; + for j = 1 : nper + jperf(j) = Wellc{i,3}(j); + Tr = Wellc{i,4}(j); + Trans(j) = Tr / BW(jperf(j)) * (Yoj(jperf(j)) + Ywj(jperf(j)));%多相流注入方程 + Tnp = Tnp + Trans(j)*p(jperf(j)); + Tn = Tn + Trans(j); + end + pwf(Weladd) = (Tnp + well_schedules_k{i,5}/86.4) / Tn;%与生产井正好反过来 + else + continue + end + end +end + pwf = pwf'; \ No newline at end of file diff --git a/core functions/油水两相流部分代码/initialRS_oil_water_flow.m b/core functions/油水两相流部分代码/initialRS_oil_water_flow.m new file mode 100644 index 0000000..62c7606 --- /dev/null +++ b/core functions/油水两相流部分代码/initialRS_oil_water_flow.m @@ -0,0 +1,3 @@ +function state = initialRS_oil_water_flow(P, Sw) +state.p = P; +state.sw = Sw; \ No newline at end of file diff --git a/core functions/油水两相流部分代码/intADI2_oil_water_flow.m b/core functions/油水两相流部分代码/intADI2_oil_water_flow.m new file mode 100644 index 0000000..45ae1f5 --- /dev/null +++ b/core functions/油水两相流部分代码/intADI2_oil_water_flow.m @@ -0,0 +1,18 @@ +function [P, Sw, Pwf] = intADI2_oil_water_flow(p, sw, pwf) +n = length(p); +npwf = length(pwf); +Jp = cell(1,3); +Jsw = cell(1,3); +Jpwf = cell(1,3); +Jp{1} = sparse(1:n, 1:n, ones(n,1), n, n); +Jp{2} = sparse(n,n); +Jp{3} = sparse(n,npwf); +Jsw{1} = sparse(n,n); +Jsw{2} = sparse(1:n, 1:n, ones(n,1), n, n); +Jsw{3} = sparse(n,npwf); +Jpwf{1} = sparse(npwf,n); +Jpwf{2} = sparse(npwf,n); +Jpwf{3} = sparse(1:npwf, 1:npwf, ones(npwf,1), npwf, npwf); +P = ADI(p, Jp); +Sw = ADI(sw, Jsw); +Pwf = ADI(pwf, Jpwf); \ No newline at end of file diff --git a/core functions/油水两相流部分代码/intADI_oil_water_flow.m b/core functions/油水两相流部分代码/intADI_oil_water_flow.m new file mode 100644 index 0000000..3463511 --- /dev/null +++ b/core functions/油水两相流部分代码/intADI_oil_water_flow.m @@ -0,0 +1,10 @@ +function [P, Sw] = intADI_oil_water_flow(p, sw) +n = length(p); +Jp = cell(1,2); +Jsw = cell(1,2); +Jp{1} = sparse(1:n, 1:n, ones(n,1), n, n); +Jp{2} = sparse(n,n); +Jsw{1} = sparse(n,n); +Jsw{2} = sparse(1:n, 1:n, ones(n,1), n, n); +P = ADI(p, Jp); +Sw = ADI(sw, Jsw); \ No newline at end of file diff --git a/core functions/油水两相流部分代码/kro_ow.m b/core functions/油水两相流部分代码/kro_ow.m new file mode 100644 index 0000000..f18add0 --- /dev/null +++ b/core functions/油水两相流部分代码/kro_ow.m @@ -0,0 +1,14 @@ +function h = kro_ow(sw, SW, KRO, varargin) +n = numel(varargin);%表示没有输入裂缝参数 +if n == 0 + h = interptable(SW, KRO, sw); +else + SWF = varargin{1}; + KROF = varargin{2}; + rpt = varargin{3}; + hm = interptable(SW, KRO, sw); + hf = interptable(SWF, KROF, sw); + h = rpt .* hm + ~rpt .* hf;%分别为裂缝与基质 +end +% h=sw+(1-sw); +end \ No newline at end of file diff --git a/core functions/油水两相流部分代码/krw_ow.m b/core functions/油水两相流部分代码/krw_ow.m new file mode 100644 index 0000000..a4b03f3 --- /dev/null +++ b/core functions/油水两相流部分代码/krw_ow.m @@ -0,0 +1,15 @@ +function h = krw_ow(sw, SW, KRW, varargin) +n = numel(varargin); +if n == 0 + h = interptable(SW, KRW, sw); +else + SWF = varargin{1}; + KRWF = varargin{2}; + rpt = varargin{3}; + hm = interptable(SW, KRW, sw); + hf = interptable(SWF, KRWF, sw); + h = rpt .* hm + ~rpt .* hf; +end +% h=sw-sw; +end + diff --git a/core functions/油水两相流部分代码/mainRS_MB_oil_water_flow.m b/core functions/油水两相流部分代码/mainRS_MB_oil_water_flow.m new file mode 100644 index 0000000..5ee8e8d --- /dev/null +++ b/core functions/油水两相流部分代码/mainRS_MB_oil_water_flow.m @@ -0,0 +1,153 @@ +function [Times, OutputRs, Wellpara, trun] = mainRS_MB_oil_water_flow(r, f, os, w, state0) +t_start = clock; +dtmin = w.dtmin; +dtmax = w.dtmax; +Nmax = w.Nmax; +epsave = w.epsave; +epsmax = w.epsmax; +yitap = w.yitap; +yitas = w.yitas; +omega = w.omega; +Wellc = w.Wellc; +time = w.time; +well_schedules = w.well_schedules; +% WelChg = w.WelChg; +% tend = w.tend; +count = 0; +t = 0; +state = state0; +OutputRs = cell(2,1); +Wellpara = cell(2,1); +Times = zeros(2,1); +% h0 = waitbar(0,'Please wait...'); +for k = 1:size(well_schedules,1) + dt=dtmin(k); + [Weladd, pwf] = initalSchedule_oil_water_flow(state0.p, state0.sw, Wellc, f, well_schedules{k,1}); +% [Weladd, pwf] = initalSchedule(state0.p, state0.sw, Wellc, f); +WelChg = zeros(size(well_schedules{k,1},1),1); % 后续有用，先不用 +repi = 0; +Newton_step = 0; +cons_Jacob = 0; +leqs_solve_time = 0; +Newtons_vs_time = [0, 0]; +tend = sum(time(1:k),1); +while t < tend + for i = 1 : Nmax + dtc = dt * 86.4; + tic; + [eqs, Awell, qwell, Pvv, Boa, Bwa] = ... + eqsOW_MB_oil_water_flow(state, state0, dtc, r, f, os, Wellc, Weladd, pwf, WelChg, well_schedules{k,1}); + Jacob = Awell; + Ris = qwell; + Jacob(1 : r.nc,1 : 2 * r.nc) = Jacob(1 : r.nc,1 : 2 * r.nc) + [eqs{1}.jac{1} eqs{1}.jac{2}]; + Jacob(r.nc + 1 : 2 * r.nc,1 : 2 * r.nc) = Jacob(r.nc + 1 : 2 * r.nc,1 : 2 * r.nc) + [eqs{2}.jac{1} eqs{2}.jac{2}]; + Ris(1 : r.nc) = Ris(1 : r.nc) + eqs{1}.val ; + Ris(r.nc + 1: 2 * r.nc) = Ris(r.nc + 1: 2 * r.nc) + eqs{2}.val ; + % 将误差无因次化，用以判断是否收敛 + Dimensionless_Ris = Ris(1: 2 * r.nc)./ [Pvv;Pvv] .* [Bwa;Boa] .* dtc; + cons_Jacob_lo=toc; + cons_Jacob=cons_Jacob+cons_Jacob_lo; +% PVall = sum(Pvv); +% MBw = Bwa*dtc*abs(sum(Ris(1:r.nc))/PVall); +% MBo = Boa*dtc*abs(sum(Ris(r.nc+1:2*r.nc))/PVall); +% CNVw = max(Bwa*dtc*abs(Ris(1:r.nc)./Pvv)); +% CNVo = max(Boa*dtc*abs(Ris(r.nc+1:2*r.nc)./Pvv)); +% [L,U] = ilu(-Jacob); +% tol = 1e-6; +% maxit = 50; +% [X, ~] = bicgstab(-Jacob,Ris,tol,maxit,L,U); + tic; +% tol = 1e-12; +% maxit = 200; +% [X0,fl0,rr0,it0,rv0] = gmres(-Jacob,Ris,[],tol,maxit); +% [L,U] = ilu(-Jacob,struct('type','ilutp','droptol',1e-6)); +% [X1,fl1,rr1,it1,rv1] = gmres(-Jacob,Ris,[],tol,maxit,L,U); + X = -Jacob \ Ris; + leqs_time=toc; + leqs_solve_time=leqs_solve_time+leqs_time; + Newton_step=Newton_step+1; + dsw = X(r.nc + 1 : 2*r.nc); + dp = X(1 : r.nc); + state.p = state.p + dp; + state.sw = state.sw + dsw; + % deltp=state.p-state0.p; + % deltsw=state.sw-state0.sw; + if Weladd > 0 + dpwf = X(2 * r.nc + 1 : end); + pwf = pwf + dpwf; + state.pwf = pwf; + end +% if MBw <= epsave && MBo <= epsave && CNVw <= epsmax && CNVo <=epsmax && max(dsw)<=0.02 && max(dp)<=1 +% break +% end + % 为适应更一般的情况，将Ris无因次化 + + if mean(abs(Dimensionless_Ris)) <= epsave && max(abs(Dimensionless_Ris)) <=epsmax + break + end + +% [L,U] = ilu(-Jacob); +% tol = 1e-6; +% maxit = 50; +% [X, ~] = bicgstab(-Jacob,Ris,tol,maxit,L,U); +% raodai=condest(Jacob); +% if condest(Jacob)>50000 +% dt = dt / 2; +% else + end + + if i == Nmax + repi = repi + 1; + if repi == 5 + error('too many iter') + end + if repi == 1 + dt = dt / 2; + elseif repi == 2 + dt = dt / 3; + else + dt = dt / 10; + end +% dt = max(dt, w.dtmin); + state = state0; + else + repi = 0; + t = t + dt; + count = count + 1; + Times(count) = t; + OutputRs{count} = state; + Newtons_vs_time = [Newtons_vs_time; t, Newton_step]; +% qwell=qwell/dtc;%转换为单位时间的流量 + [Wellpara_t, WelChg, Weladd] = calcWellequation_oil_water_flow(Weladd, Wellc, WelChg, well_schedules{k,1}, r.nc, qwell, state); + Wellpara{count} = Wellpara_t; + state0 = state; + tm = ADtimestep(yitap, yitas, omega, dp, dsw); +% tm=1; + dt = dt * tm; + if t + dt > tend + dt = tend - t; + end + if dt >= dtmax(k) + dt = dtmax(k); + end + if i ~= Nmax + % waitbar(t / tend); + % disp(t); + fprintf('正在计算：%.4f天/共%.4f天\n', t, sum(time)); + + end + if t>300 + flag = 1; + end + end +end +end +trun.cons_Jacob=cons_Jacob; +trun.leqs_solve_time=leqs_solve_time; +trun.total_simulation_time = etime(clock,t_start); +trun.Newton_step=Newton_step; +trun.Newtons_vs_time=Newtons_vs_time; +fprintf('计算完成'); +% close(h0); + + diff --git a/core functions/油水两相流部分代码/muo_ow.m b/core functions/油水两相流部分代码/muo_ow.m new file mode 100644 index 0000000..4bc5fa3 --- /dev/null +++ b/core functions/油水两相流部分代码/muo_ow.m @@ -0,0 +1,3 @@ +function h = muo_ow(p, MUO, Ppr) +h = interptable(Ppr, MUO, p); +end \ No newline at end of file diff --git a/core functions/油水两相流部分代码/muw_ow.m b/core functions/油水两相流部分代码/muw_ow.m new file mode 100644 index 0000000..538f194 --- /dev/null +++ b/core functions/油水两相流部分代码/muw_ow.m @@ -0,0 +1,2 @@ +function h = muw_ow(p, vwi, prw, cvw) +h = vwi + cvw * (p - prw); diff --git a/core functions/油水两相流部分代码/pcow.m b/core functions/油水两相流部分代码/pcow.m new file mode 100644 index 0000000..b3f4913 --- /dev/null +++ b/core functions/油水两相流部分代码/pcow.m @@ -0,0 +1,16 @@ +function h = pcow(sw, SW, PCOW, varargin) +n = numel(varargin); +if PCOW == 0 + h = 0; +else + if n == 0 + h = interptable(SW, PCOW, sw); + else + SWF = varargin{1}; + PCOWF = varargin{2}; + rpt = varargin{3}; + hm = interptable(SW, PCOW, sw); + hf = interptable(SWF, PCOWF, sw); + h = rpt .* hm + ~rpt .* hf; + end +end diff --git a/core functions/油水两相流部分代码/por.m b/core functions/油水两相流部分代码/por.m new file mode 100644 index 0000000..5561327 --- /dev/null +++ b/core functions/油水两相流部分代码/por.m @@ -0,0 +1,12 @@ +function h = por(p, prpor, pori, cpor, varargin) +n = numel(varargin); +if n == 0 + h = pori .* (1 + cpor .* (p - prpor)); +else + prporf = varargin{1}; + cporf = varargin{2}; + rpt = varargin{3}; + hm = pori .* (1 + cpor .* (p - prpor)); + hf = pori .* (1 + cporf .* (p - prporf)); + h = rpt .* hm + ~rpt .* hf; +end diff --git a/core functions/程序整合及组分流部分代码/GridProp_DP.asv b/core functions/程序整合及组分流部分代码/GridProp_DP.asv new file mode 100644 index 0000000..ad44248 --- /dev/null +++ b/core functions/程序整合及组分流部分代码/GridProp_DP.asv @@ -0,0 +1,523 @@ +function r = GridProp_DP(modelflag,nx, ny, nz, dx, dy, dz, kx, ky, kz, kx_matrixLayer, ky_matrixLayer, kz_matrixLayer, f, frac_information, fellip, Kf, Wf, pori, pori_matrixLayer, prpor, cpor, Porf, prporf, cporf, cf, ca,NTG) +tic; +%% 基质网格参数及网格参数计算、存储 +r.modelflag=modelflag; +r.nx = nx; +r.ny = ny; +r.nz = nz; +r.dx = dx; +r.dy = dy; +r.dz = dz; +r.kx = kx; +r.ky = ky; +r.kz = kz; +r.kx_matrixLayer = kx_matrixLayer; +r.ky = ky; +r.kz = kz; +r.Kf = Kf;%裂缝面对应的渗透率，非裂缝单元 +r.Wf = Wf;%裂缝面对应的缝宽，非裂缝单元 +r.cf = cf; +r.ca = ca; +% r.co=co; +r.cpor=cpor; +r.cporf=cporf; +r.NTG=NTG; +r.frac_information = frac_information; + +[coordinates, nodes, nP, nE, dxv, dyv,dzv,zm,vm,xrao,yrao,zrao,cell_mid_coordinates] = GenerateNode_final(dx, dy,dz ,nx,ny,nz,NTG); +r.coordinates = coordinates; +r.nodes = nodes; +nmc=nE; +r.nmc =nmc; +r.dxv = dxv; +r.dyv = dyv; +r.dzv = dzv; +r.vm=vm; +r.cell_mid_coordinates=cell_mid_coordinates; +%% 求解裂缝与基质网格连接情况 +%% 关键参数矩阵初始化 +m=size(f,1); +n=size(fellip,1); +nfr=m/5;%矩形规则裂缝条数 +nfir=n/5;%不规则裂缝条数（当然包含椭圆） +r.nfr=nfr; r.nfir=nfir; +nf=nfr+nfir; +r.nf=nf; +if (nfir~=0) && (nfr~=0) + f=[f;fellip]; +else if nfr~=0 + f=f; +else if nfir~=0 + f=fellip; +else error('Dr Rao reminds you that there is no information about fractures'); +end +end +end + +%d3intersection=-1000*ones(1000,3);%用-1000做标识 +raopoint=cell(nfr+nfir,2);%利用元胞数组存储每条裂缝与基质网格线的交点， +%第一列是三维坐标形式，即d3intersection +%第二列是裂缝面参数形式，即anothersection +pointvsregion=cell(nfr+nfir,3);%利用元胞数组存储interarea函数的结果numofmesh, numvspoint,numofregion +fracrossfra=cell(nfr+nfir,nfr+nfir-1);%判断裂缝之间两交点坐标 +fratmaxfra=zeros(nfr+nfir,nfr+nfir-1);%判断裂缝之间交线参数的最大值 +fratminfra=zeros(nfr+nfir,nfr+nfir-1);%判断裂缝之间交线参数的最小值 +fracturemesh=cell(nf,1);%每一行是一条裂缝面上的网格剖分情况 + +%% 计算裂缝与基质网格相交情况 +for i=1:nfr + raopoint{i,1}= intersectionsolve_new_modified_r(f((5*i-4):(5*i),:),dx,dy,dz,nx,ny,nz,xrao,yrao,zrao ); + raopoint{i,2}= anosection( f((5*i-4):(5*i),:),raopoint{i,1} ); + [ pointvsregion{i,1},pointvsregion{i,2} ,pointvsregion{i,3}] = interarea( raopoint{i,1},dx,dy,dz,nx,ny,nz,xrao,yrao,zrao ); +end +% 不规则缝计算 +if nfir>0 + for i=1:nfir + raopoint{nfr+i,1}= intersectionsolve_new_modified_irr(fellip((5*i-4):(5*i),:),dx,dy,dz,nx,ny,nz,xrao,yrao,zrao ); + raopoint{nfr+i,2}= anosection( f((5*(nfr+i)-4):(5*(nfr+i)),:),raopoint{nfr+i,1} ); + [ pointvsregion{nfr+i,1},pointvsregion{nfr+i,2} ,pointvsregion{nfr+i,3}] = interarea( raopoint{nfr+i,1},dx,dy,dz,nx,ny,nz,xrao,yrao,zrao ); + end +end + +%% 计算裂缝之间相交线情况 +for i=1:nf + for j=1:nf + if i>nfr || j>nfr cross=zeros(2,3);tmax=0;tmin=0; + else + % [ cross,tmax,tmin ]=frac_cross_frac( f((5*i-4):(5*i),:),f((5*j-4):(5*j),:) ); + cross=zeros(2,3);tmax=0;tmin=0; + end + fracrossfra{i,j}=cross;fratmaxfra(i,j)=tmax;fratminfra(i,j)=tmin; + end +end +%% 计算裂缝被基质网格、其它裂缝与之相交后的网格分布情况,绘制二维裂缝平面参数坐标系上的网格分布情况 +% figure('color','w'); +addflag=zeros(nf,1);%乘2的幂次，防止因为裂缝条数较多，造成矩阵太大 +for i=1:nf + d3intersection=raopoint{i,1};anothersection=raopoint{i,2}; + [ mesh ] = frac_mat_mesh( d3intersection,anothersection,pointvsregion{i,2},pointvsregion{i,1} ); + % for j=1:nf + % [ mesh,d3intersection,anothersection,add_flag ]= frac_frac_mesh_modified(xrao,yrao,zrao,mesh,f(5*i-4,:),f(5*i-3,:),f(5*i-2,:),fracrossfra{i,j},fratmaxfra(i,j),fratminfra(i,j),d3intersection,anothersection,pointvsregion{i,2},pointvsregion{i,1} ); + % addflag(j,1)=addflag(j,1)+add_flag; + % end + raopoint{i,1} = d3intersection; raopoint{i,2} = anothersection;%由原来裂缝与网格的交点不断更新加入其它裂缝与该裂缝的交点 + fracturemesh{i,1}=mesh; + % subplot(nf,1,i);color_fill={'y','r','b','g'}; + % plotmesh2D(mesh,raopoint{i,2},color_fill{1,mod(i,4)+1}); +end + +%% 绘制三维背景网格（基质网格）及裂缝网格分布 +%figure(2) +%network3D(dx,dy,dz,nx,ny,nz ); +%hold on; +figure('color','w'); +% plot_reservoir_3D(max(xrao),max(yrao),dz(1),1,1,nz); +% plot_reservoir_3D(dx(1),dy(1),dz(1),nx,ny,nz); +network3D(dx(1),dy(1),dz(1),nx,ny,nz); +% network3D(1000,700,10,1,1,1); +% network3D(800,300,10,1,1,1); +hold on; + +% network3D_arbitrary(dx,dy,dz,nx,ny,nz); +% refine; +% hold on; +for i=1:nf + % color_fill={'y','r','b','g','c','m'}; + % color_fill={'y','r','b','g'}; + % plotmesh3D( fracturemesh{i,1},raopoint{i,1},color_fill{1,mod(i,4)+1});hold on; + if i <= 100 + color_fill='b'; %流动屏障 + % elseif i <=19 + % color_fill='b'; %压裂缝 +% if i == 2 || i == 9 +% color_fill='r'; +% end + else + color_fill='k'; %天然裂缝 + end + % plotmesh3D( fracturemesh{i,1},raopoint{i,1},color_fill{1,mod(i,4)+1});hold on; + plotmesh3D( fracturemesh{i,1},raopoint{i,1},color_fill);hold on; +end +% % % basic_node_coord = [0,0,0]; +% % % x_length = 700; +% % % y_length = 800; +% % % z_length = 10; +% % % nodes_domain = [basic_node_coord;] +% % % fill3(x,y,z,'w'); +% refine1; +% refine_chengjiepaper; +% refine; +% plot_reservoir_3D(max(xrao),max(yrao),dz(1),1,1,nz); +% plot_reservoir_3D(dx(1),dy(1),dz(1),nx,ny,nz); +xlabel('x, m','FontSize',14); +ylabel('y, m','FontSize',14); +zlabel('z, m','FontSize',14); +ax = gca; +ax.FontSize = 14; +% +% zticks([0, 5]); +% yticks(-1:0.5:1); +% 设置x轴和y轴的刻度标签 +% zticklabels({'-2005', '-2000'}); +% yticklabels({'-1', '-0.5', '0', '0.5', '1'}); +% 关闭刻度标签的旋转 +% xticklabels('Rotation', 0); +% yticklabels('Rotation', 0); +% axis equal; +% refine; +% hold on +% network3D(dx(1),dy(1),dz(1),nx,ny,nz); +% network3D(max(xrao),max(yrao),max(zrao),1,1,1 ); +% network3D(10,10,10,2,1,1 ); +% network3D(10,10,10,6,1,2 ); +alpha(1) +view(3) +% axis([min(xrao),max(xrao),min(yrao),max(yrao),min(zrao),max(zrao)]); +% axis equal +% % hold off; +%% 确定裂缝编号及连接情况，计算传导系数 +if modelflag==1 %表示用2014, Monifar + [ matrixvsfra,connectmf,fracnumber,fracstart,corevsfra,connect_infrac, N,T,zf,fcinff,vf,porf,fcff,T_convection,mat_frac,cell_divided_by_fracture_flag, flowArea, perm, matrixflag ] = connections_2014( fracturemesh,pointvsregion,raopoint,f,nf,nx,ny,nz,kx,ky,kz,pori,Kf,Wf,Porf,dxv,dyv,dzv,coordinates,nodes,NTG,addflag ); + nfc=size(fracnumber,1); + nex=size(T,1); + r.nfc=nfc; + nc=nfc+nmc; + r.nc=nc;%基质网格和裂缝单元总数 + r.nex=nex;%具有流体交换的总数 + kf=Kf(fcinff); + wf=Wf(fcinff); + r.kf=kf;%裂缝单元对应的渗透率 + r.wf=wf;%裂缝单元对应的缝宽 + r.N=N; + r.T=T; + r.T_convection=T_convection; + r.vf=vf; + r.V=[vm;vf]; + r.porf=porf; + r.fcff=fcff; + r.mat_frac=mat_frac; + r.cell_divided_by_fracture_flag = cell_divided_by_fracture_flag; + r.flowArea=flowArea; + r.perm=perm; + r.matrixflag=matrixflag; +elseif modelflag==4 %表示用 PEDFM + [ matrixvsfra,connectmf,fracnumber,fracstart,corevsfra,connect_infrac, N,T,zf,fcinff,vf,porf,fcff ] = connections_PEDFM_new( fracturemesh,pointvsregion,raopoint,f,nf,nx,ny,nz,kx,ky,kz,Kf,Wf,Porf,dxv,dyv,dzv,coordinates,nodes,NTG,addflag,frac_information, coordinates); + nfc=size(fracnumber,1); + nex=size(T,1); + r.nfc=nfc; + nc=nfc+nmc; + r.nc=nc;%基质网格和裂缝单元总数 + r.nex=nex;%具有流体交换的总数 + kf=Kf(fcinff); + wf=Wf(fcinff); + r.kf=kf;%裂缝单元对应的渗透率 + r.wf=wf;%裂缝单元对应的缝宽 + r.N=N; + r.T=T; + r.vf=vf; + r.V=[vm;vf]; + r.porf=porf; + r.fcff=fcff; +elseif modelflag==5 % 表示实用型PEDFM + [ matrixvsfra,connectmf,fracnumber,fracstart,corevsfra,connect_infrac, N,T,zf,fcinff,vf,porf,fcff, flowArea, perm, matrixflag ] = connections_PEDFM_new_new( fracturemesh,pointvsregion,raopoint,f,nf,nx,ny,nz,kx,ky,kz,pori,Kf,Wf,Porf,dxv,dyv,dzv,coordinates,nodes,NTG,addflag,frac_information, coordinates); + nfc=size(fracnumber,1); + nex=size(T,1); + r.nfc=nfc; + nc=nfc+nmc; + r.nc=nc;%基质网格和裂缝单元总数 + r.nex=nex;%具有流体交换的总数 + kf=Kf(fcinff); + wf=Wf(fcinff); + r.kf=kf;%裂缝单元对应的渗透率 + r.wf=wf;%裂缝单元对应的缝宽 + r.N=N; + r.T=T; + r.vf=vf; + r.V=[vm;vf]; + r.porf=porf; + r.fcff=fcff; + r.flowArea=flowArea; + r.perm=perm; + r.matrixflag=matrixflag; +elseif modelflag==6 % 表示基于非结构网格pEDFM的validation model + [ matrixvsfra,connectmf,fracnumber,fracstart,corevsfra,connect_infrac, N,T,zf,fcinff,vf,porf,fcff,T_convection,mat_frac,number_of_adding,cell_divided_by_fracture_flag] = connections_unstructured_EDFM( fracturemesh,pointvsregion,raopoint,f,nf,nx,ny,nz,kx,ky,kz,Kf,Wf,Porf,dxv,dyv,dzv,coordinates,nodes,NTG,addflag ); + nfc=size(fracnumber,1); + nex=size(T,1); + r.nfc=nfc; + r.number_of_adding=number_of_adding; + nmc = nmc+number_of_adding; + r.nmc = nmc; + nc=nfc+nmc; + r.nc=nc;%基质网格和裂缝单元总数 + r.nex=nex;%具有流体交换的总数 + kf=Kf(fcinff); + wf=Wf(fcinff); + r.kf=kf;%裂缝单元对应的渗透率 + r.wf=wf;%裂缝单元对应的缝宽 + r.N=N; + r.T=T; + r.T_convection=T_convection; + r.vf=vf; + % 劈分或增加 + vm_the_added_cell = vm(cell_divided_by_fracture_flag)*1/2; + vm(cell_divided_by_fracture_flag) = vm(cell_divided_by_fracture_flag)*1/2; + vm = [vm; vm_the_added_cell]; + r.V=[vm;vf]; + pori = [pori; pori(cell_divided_by_fracture_flag)]; + r.cell_divided_by_fracture_flag = cell_divided_by_fracture_flag; + r.porf=porf; + r.fcff=fcff; + r.mat_frac=mat_frac; +elseif modelflag==7 + [ matrixvsfra,connectmf,fracnumber,fracstart,corevsfra,connect_infrac, N,T,zf,fcinff,vf,porf,fcff ] = connections_PEDFM_EX1_solutions( fracturemesh,pointvsregion,raopoint,f,nf,nx,ny,nz,kx,ky,kz,Kf,Wf,Porf,dxv,dyv,dzv,coordinates,nodes,NTG,addflag,frac_information, coordinates); + nfc=size(fracnumber,1); + nex=size(T,1); + r.nfc=nfc; + nc=nfc+nmc; + r.nc=nc;%基质网格和裂缝单元总数 + r.nex=nex;%具有流体交换的总数 + kf=Kf(fcinff); + wf=Wf(fcinff); + r.kf=kf;%裂缝单元对应的渗透率 + r.wf=wf;%裂缝单元对应的缝宽 + r.N=N; + r.T=T; + r.vf=vf; + r.V=[vm;vf]; + r.porf=porf; + r.fcff=fcff; +elseif modelflag==8 % 表示基于非结构网格pEDFM的validation model + [ matrixvsfra,connectmf,fracnumber,fracstart,corevsfra,connect_infrac, N,T,zf,fcinff,vf,porf,fcff,T_convection,mat_frac,number_of_adding,cell_divided_by_fracture_flag,volume_ratio,fractureCell_matrixCell_addedMatrixCell] = connections_unstructured_EDFM_EX1_solutions( fracturemesh,pointvsregion,raopoint,f,nf,nx,ny,nz,kx,ky,kz,Kf,Wf,Porf,dxv,dyv,dzv,coordinates,nodes,NTG,addflag ); + nfc=size(fracnumber,1); + nex=size(T,1); + r.nfc=nfc; + r.number_of_adding=number_of_adding; + nmc = nmc+number_of_adding; + r.nmc = nmc; + nc=nfc+nmc; + r.nc=nc;%基质网格和裂缝单元总数 + r.nex=nex;%具有流体交换的总数 + kf=Kf(fcinff); + wf=Wf(fcinff); + r.kf=kf;%裂缝单元对应的渗透率 + r.wf=wf;%裂缝单元对应的缝宽 + r.N=N; + r.T=T; + r.T_convection=T_convection; + r.vf=vf; + r.fractureCell_matrixCell_addedMatrixCell = fractureCell_matrixCell_addedMatrixCell; + r.volume_ratio=volume_ratio; + % 劈分或增加 + vm_the_added_cell = vm(cell_divided_by_fracture_flag).*volume_ratio; + vm(cell_divided_by_fracture_flag) = vm(cell_divided_by_fracture_flag).*(1-volume_ratio); + vm = [vm; vm_the_added_cell]; + r.V=[vm;vf]; + pori = [pori; pori(cell_divided_by_fracture_flag)]; + r.cell_divided_by_fracture_flag = cell_divided_by_fracture_flag; + r.porf=porf; + r.fcff=fcff; + r.mat_frac=mat_frac; +elseif modelflag==9 % EX2 不同情况下 pEDFM 解 + [ matrixvsfra,connectmf,fracnumber,fracstart,corevsfra,connect_infrac, N,T,zf,fcinff,vf,porf,fcff ] = connections_PEDFM_EX2_solutions( fracturemesh,pointvsregion,raopoint,f,nf,nx,ny,nz,kx,ky,kz,Kf,Wf,Porf,dxv,dyv,dzv,coordinates,nodes,NTG,addflag,frac_information, coordinates); + nfc=size(fracnumber,1); + nex=size(T,1); + r.nfc=nfc; + nc=nfc+nmc; + r.nc=nc;%基质网格和裂缝单元总数 + r.nex=nex;%具有流体交换的总数 + kf=Kf(fcinff); + wf=Wf(fcinff); + r.kf=kf;%裂缝单元对应的渗透率 + r.wf=wf;%裂缝单元对应的缝宽 + r.N=N; + r.T=T; + r.vf=vf; + r.V=[vm;vf]; + r.porf=porf; + r.fcff=fcff; +elseif modelflag==10 % 表示基于非结构网格pEDFM的 EX2 参考解 + [ matrixvsfra,connectmf,fracnumber,fracstart,corevsfra,connect_infrac, N,T,zf,fcinff,vf,porf,fcff,T_convection,mat_frac,number_of_adding,cell_divided_by_fracture_flag,volume_ratio,fractureCell_matrixCell_addedMatrixCell] = connections_unstructured_EDFM_EX2_1to3_solutions( fracturemesh,pointvsregion,raopoint,f,nf,nx,ny,nz,kx,ky,kz,Kf,Wf,Porf,dxv,dyv,dzv,coordinates,nodes,NTG,addflag ); + nfc=size(fracnumber,1); + nex=size(T,1); + r.nfc=nfc; + r.number_of_adding=number_of_adding; + nmc = nmc+number_of_adding; + r.nmc = nmc; + nc=nfc+nmc; + r.nc=nc;%基质网格和裂缝单元总数 + r.nex=nex;%具有流体交换的总数 + kf=Kf(fcinff); + wf=Wf(fcinff); + r.kf=kf;%裂缝单元对应的渗透率 + r.wf=wf;%裂缝单元对应的缝宽 + r.N=N; + r.T=T; + r.T_convection=T_convection; + r.vf=vf; + r.fractureCell_matrixCell_addedMatrixCell = fractureCell_matrixCell_addedMatrixCell; + r.volume_ratio=volume_ratio; + % 劈分或增加 + vm_the_added_cell = vm(cell_divided_by_fracture_flag).*volume_ratio; + vm(cell_divided_by_fracture_flag) = vm(cell_divided_by_fracture_flag).*(1-volume_ratio); + vm = [vm; vm_the_added_cell]; + r.V=[vm;vf]; + pori = [pori; pori(cell_divided_by_fracture_flag)]; + r.cell_divided_by_fracture_flag = cell_divided_by_fracture_flag; + r.porf=porf; + r.fcff=fcff; + r.mat_frac=mat_frac; +elseif modelflag==11 % 表示基于非结构网格pEDFM的 EX2 参考解 + [ matrixvsfra,connectmf,fracnumber,fracstart,corevsfra,connect_infrac, N,T,zf,fcinff,vf,porf,fcff,T_convection,mat_frac,number_of_adding,cell_divided_by_fracture_flag,volume_ratio,fractureCell_matrixCell_addedMatrixCell] = connections_unstructured_EDFM_EX2_1to2_solutions( fracturemesh,pointvsregion,raopoint,f,nf,nx,ny,nz,kx,ky,kz,Kf,Wf,Porf,dxv,dyv,dzv,coordinates,nodes,NTG,addflag ); + nfc=size(fracnumber,1); + nex=size(T,1); + r.nfc=nfc; + r.number_of_adding=number_of_adding; + nmc = nmc+number_of_adding; + r.nmc = nmc; + nc=nfc+nmc; + r.nc=nc;%基质网格和裂缝单元总数 + r.nex=nex;%具有流体交换的总数 + kf=Kf(fcinff); + wf=Wf(fcinff); + r.kf=kf;%裂缝单元对应的渗透率 + r.wf=wf;%裂缝单元对应的缝宽 + r.N=N; + r.T=T; + r.T_convection=T_convection; + r.vf=vf; + r.fractureCell_matrixCell_addedMatrixCell = fractureCell_matrixCell_addedMatrixCell; + r.volume_ratio=volume_ratio; + % 劈分或增加 + vm_the_added_cell = vm(cell_divided_by_fracture_flag).*volume_ratio; + vm(cell_divided_by_fracture_flag) = vm(cell_divided_by_fracture_flag).*(1-volume_ratio); + vm = [vm; vm_the_added_cell]; + r.V=[vm;vf]; + pori = [pori; pori(cell_divided_by_fracture_flag)]; + r.cell_divided_by_fracture_flag = cell_divided_by_fracture_flag; + r.porf=porf; + r.fcff=fcff; + r.mat_frac=mat_frac; +elseif modelflag==12 % 表示基于非结构网格pEDFM的 EX2 参考解 + [ matrixvsfra,connectmf,fracnumber,fracstart,corevsfra,connect_infrac, N,T,zf,fcinff,vf,porf,fcff,T_convection,mat_frac,number_of_adding,cell_divided_by_fracture_flag,volume_ratio,fractureCell_matrixCell_addedMatrixCell] = connections_unstructured_EDFM_EX2_1to4_solutions( fracturemesh,pointvsregion,raopoint,f,nf,nx,ny,nz,kx,ky,kz,Kf,Wf,Porf,dxv,dyv,dzv,coordinates,nodes,NTG,addflag ); + nfc=size(fracnumber,1); + nex=size(T,1); + r.nfc=nfc; + r.number_of_adding=number_of_adding; + nmc = nmc+number_of_adding; + r.nmc = nmc; + nc=nfc+nmc; + r.nc=nc;%基质网格和裂缝单元总数 + r.nex=nex;%具有流体交换的总数 + kf=Kf(fcinff); + wf=Wf(fcinff); + r.kf=kf;%裂缝单元对应的渗透率 + r.wf=wf;%裂缝单元对应的缝宽 + r.N=N; + r.T=T; + r.T_convection=T_convection; + r.vf=vf; + r.fractureCell_matrixCell_addedMatrixCell = fractureCell_matrixCell_addedMatrixCell; + r.volume_ratio=volume_ratio; + % 劈分或增加 + vm_the_added_cell = vm(cell_divided_by_fracture_flag).*volume_ratio; + vm(cell_divided_by_fracture_flag) = vm(cell_divided_by_fracture_flag).*(1-volume_ratio); + vm = [vm; vm_the_added_cell]; + r.V=[vm;vf]; + pori = [pori; pori(cell_divided_by_fracture_flag)]; + r.cell_divided_by_fracture_flag = cell_divided_by_fracture_flag; + r.porf=porf; + r.fcff=fcff; + r.mat_frac=mat_frac; +elseif modelflag==13 % 表示基于非结构网格pEDFM的 EX2 参考解 + [ matrixvsfra,connectmf,fracnumber,fracstart,corevsfra,connect_infrac, N,T,zf,fcinff,vf,porf,fcff ] = connections_PEDFM_TPFA_MFD( fracturemesh,pointvsregion,raopoint,f,nf,nx,ny,nz,perm,Kf,Wf,Porf,dxv,dyv,dzv,coordinates,nodes,NTG,addflag,frac_information, coordinates); + nfc=size(fracnumber,1); + nex=size(T,1); + r.nfc=nfc; + nc=nfc+nmc; + r.nc=nc;%基质网格和裂缝单元总数 + r.nex=nex;%具有流体交换的总数 + kf=Kf(fcinff); + wf=Wf(fcinff); + r.kf=kf;%裂缝单元对应的渗透率 + r.wf=wf;%裂缝单元对应的缝宽 + r.N=N; + r.T=T; + r.vf=vf; + r.V=[vm;vf]; + r.porf=porf; + r.fcff=fcff; +elseif modelflag==14 %表示用 PEDFM + [ matrixvsfra,connectmf,fracnumber,fracstart,corevsfra,connect_infrac, N,T,zf,fcinff,vf,porf,fcff ] = connections_PEDFM_new_twofractures( fracturemesh,pointvsregion,raopoint,f,nf,nx,ny,nz,kx,ky,kz,Kf,Wf,Porf,dxv,dyv,dzv,coordinates,nodes,NTG,addflag,frac_information, coordinates); + nfc=size(fracnumber,1); + nex=size(T,1); + r.nfc=nfc; + nc=nfc+nmc; + r.nc=nc;%基质网格和裂缝单元总数 + r.nex=nex;%具有流体交换的总数 + kf=Kf(fcinff); + wf=Wf(fcinff); + r.kf=kf;%裂缝单元对应的渗透率 + r.wf=wf;%裂缝单元对应的缝宽 + r.N=N; + r.T=T; + r.vf=vf; + r.V=[vm;vf]; + r.porf=porf; + r.fcff=fcff; +else + [ matrixvsfra,connectmf,fracnumber,fracstart,corevsfra,connect_infrac, N,T,zf,fcinff,vf,porf,fcff ] = connections( fracturemesh,pointvsregion,raopoint,f,nf,nx,ny,nz,kx,ky,kz,Kf,Wf,Porf,dxv,dyv,dzv,NTG ); + nfc=size(fracnumber,1); + nex=size(T,1); + r.nfc=nfc; + nc=nfc+nmc; + r.nc=nc;%基质网格和裂缝单元总数 + r.nex=nex;%具有流体交换的总数 + kf=Kf(fcinff); + wf=Wf(fcinff); + r.kf=kf;%裂缝单元对应的渗透率 + r.wf=wf;%裂缝单元对应的缝宽 + r.N=N; + r.T=T; + r.vf=vf; + r.V=[vm;vf]; + r.porf=porf; + r.fcff=fcff; + %% 计算传导系数 + % dxvector=ones(1,nx);dyvector=ones(1,ny);dzvector=ones(1,nz); + % [ transmatrix,transfracture ] = trans(dxvector,dyvector,dzvector ,nx,ny,nz,nf,fracnumber,lengthvsfra,disvsfra,fracstart,connect_infrac,corevsfra,matrixvsfra,raopoint,f ); + %% 计算基质与裂缝之间窜流的相关系数 + if modelflag==2 %表示用2018, Rao + [ G,Gfm,Gff,Gf,Ap,Apf ]=interflowmf1(r,dxv,dyv,dzv,matrixvsfra,connectmf,fracstart,fracnumber,raopoint,f,nodes,coordinates,nf,corevsfra ); + [Ka, M, F2M , MF_coef] = transFunc_aniso(nc,coordinates, nodes, connectmf,Ap,Apf, matrixvsfra,N,T,kx, ky,kz); + r.Ka = Ka; + r.M = M; + r.F2M = F2M; + r.MF_coef = MF_coef; + elseif modelflag==5 %表示用 Modified Rao, steady, 2018 + [ G,Gfm,Gff,Gf,Ap,Apf ] = interflowmf_MODIFIED(r,dxv,dyv,dzv,matrixvsfra,connectmf,fracstart,fracnumber,raopoint,f,nodes,coordinates,nf,corevsfra ); + [Ka, M, F2M , MF_coef] = transFunc_aniso_MODIFIED(nc,coordinates, nodes, connectmf,Ap,Apf, matrixvsfra,N,T,kx, ky,kz); + r.Ka = Ka; + r.M = M; + r.F2M = F2M; + r.MF_coef = MF_coef; + % [ G,Gfm,Gff,Gf,Ap,Apf,Apmt,Apft ]=interflowmf1_transient(dxv,dyv,dzv,matrixvsfra,connectmf,fracstart,fracnumber,raopoint,f,nodes,coordinates,nf,corevsfra ); + end + % [ G,Gfm,Gff,Gf,Ap,Apf ]=interflowmf1(dxv,dyv,dzv,matrixvsfra,connectmf,fracstart,fracnumber,raopoint,f,nodes,coordinates,nf,corevsfra ); + %% + + % r.MF_deltt=MF_deltt; +end +%% 计算深度（以下平面为基准计算得到的高度，值为正数） +z=[zm;zf]; +r.z=z; + + +rpt = [ones(nmc, 1); zeros(nfc, 1)]; +r.rpt = rpt; +r.Porf = Porf; +pori = [pori; porf]; +r.pori = pori; +r.por = @(p)por(p, prpor, pori, cpor, prporf, cporf, r.rpt); +tpre=toc; +r.tpre=tpre; +end \ No newline at end of file diff --git a/core functions/程序整合及组分流部分代码/GridProp_DP.m b/core functions/程序整合及组分流部分代码/GridProp_DP.m new file mode 100644 index 0000000..858f589 --- /dev/null +++ b/core functions/程序整合及组分流部分代码/GridProp_DP.m @@ -0,0 +1,534 @@ +function r = GridProp_DP(modelflag, r, kx, ky, kz, kx_matrixLayer, ky_matrixLayer, kz_matrixLayer, f, frac_information, fellip, Kf, Wf, pori, pori_matrixLayer, prpor, cpor, Porf, prporf, cporf, cf, ca,NTG,sigma,valid_grids) +tic; +%% 基质网格参数及网格参数计算、存储 +nx = r.nx; +ny = r.ny; +nz = r.nz; +dx = r.dx; +dy = r.dy; +dz = r.dz; +coordinates = r.coordinates; +nodes = r.nodes; +nP = r.nP; +nmc = r.nmc; +dxv = r.dxv; +dyv = r.dyv; +dzv = r.dzv; +zm = r.zm; +vm = r.vm; +xrao = r.xrao; +yrao = r.yrao; +zrao = r.zrao; +cell_mid_coords = r.cell_mid_coords; +% +r.modelflag=modelflag; +r.kx_matrixLayer = kx_matrixLayer; +r.ky_matrixLayer = ky_matrixLayer; +r.kz_matrixLayer = kz_matrixLayer; +r.Kf = Kf;%裂缝面对应的渗透率，非裂缝单元 +r.Wf = Wf;%裂缝面对应的缝宽，非裂缝单元 +r.cf = cf; +r.ca = ca; +% r.co=co; +r.cpor=cpor; +r.cporf=cporf; +r.NTG=NTG; +r.frac_information = frac_information; + +% [coordinates, nodes, nP, nE, dxv, dyv,dzv,zm,vm,xrao,yrao,zrao,cell_mid_coordinates] = GenerateNode_final(dx, dy,dz ,nx,ny,nz,NTG); +% r.coordinates = coordinates; +% r.nodes = nodes; +% nmc=nE; +% r.nmc =nmc; +% r.dxv = dxv; +% r.dyv = dyv; +% r.dzv = dzv; +% r.vm=vm; +% r.cell_mid_coordinates=cell_mid_coordinates; +%% 求解裂缝与基质网格连接情况 +%% 关键参数矩阵初始化 +m=size(f,1); +n=size(fellip,1); +nfr=m/5;%矩形规则裂缝条数 +nfir=n/5;%不规则裂缝条数（当然包含椭圆） +r.nfr=nfr; r.nfir=nfir; +nf=nfr+nfir; +r.nf=nf; +if (nfir~=0) && (nfr~=0) + f=[f;fellip]; +else if nfr~=0 + f=f; +else if nfir~=0 + f=fellip; +else error('Dr Rao reminds you that there is no information about fractures'); +end +end +end + +%d3intersection=-1000*ones(1000,3);%用-1000做标识 +raopoint=cell(nfr+nfir,2);%利用元胞数组存储每条裂缝与基质网格线的交点， +%第一列是三维坐标形式，即d3intersection +%第二列是裂缝面参数形式，即anothersection +pointvsregion=cell(nfr+nfir,3);%利用元胞数组存储interarea函数的结果numofmesh, numvspoint,numofregion +fracrossfra=cell(nfr+nfir,nfr+nfir-1);%判断裂缝之间两交点坐标 +fratmaxfra=zeros(nfr+nfir,nfr+nfir-1);%判断裂缝之间交线参数的最大值 +fratminfra=zeros(nfr+nfir,nfr+nfir-1);%判断裂缝之间交线参数的最小值 +fracturemesh=cell(nf,1);%每一行是一条裂缝面上的网格剖分情况 + +%% 计算裂缝与基质网格相交情况 +for i=1:nfr + raopoint{i,1}= intersectionsolve_new_modified_r(f((5*i-4):(5*i),:),dx,dy,dz,nx,ny,nz,xrao,yrao,zrao ); + raopoint{i,2}= anosection( f((5*i-4):(5*i),:),raopoint{i,1} ); + [ pointvsregion{i,1},pointvsregion{i,2} ,pointvsregion{i,3}] = interarea( raopoint{i,1},dx,dy,dz,nx,ny,nz,xrao,yrao,zrao ); +end +% 不规则缝计算 +if nfir>0 + for i=1:nfir + raopoint{nfr+i,1}= intersectionsolve_new_modified_irr(fellip((5*i-4):(5*i),:),dx,dy,dz,nx,ny,nz,xrao,yrao,zrao ); + raopoint{nfr+i,2}= anosection( f((5*(nfr+i)-4):(5*(nfr+i)),:),raopoint{nfr+i,1} ); + [ pointvsregion{nfr+i,1},pointvsregion{nfr+i,2} ,pointvsregion{nfr+i,3}] = interarea( raopoint{nfr+i,1},dx,dy,dz,nx,ny,nz,xrao,yrao,zrao ); + end +end + +%% 计算裂缝之间相交线情况 +for i=1:nf + for j=1:nf + if i>nfr || j>nfr cross=zeros(2,3);tmax=0;tmin=0; + else + % [ cross,tmax,tmin ]=frac_cross_frac( f((5*i-4):(5*i),:),f((5*j-4):(5*j),:) ); + cross=zeros(2,3);tmax=0;tmin=0; + end + fracrossfra{i,j}=cross;fratmaxfra(i,j)=tmax;fratminfra(i,j)=tmin; + end +end +%% 计算裂缝被基质网格、其它裂缝与之相交后的网格分布情况,绘制二维裂缝平面参数坐标系上的网格分布情况 +% figure('color','w'); +addflag=zeros(nf,1);%乘2的幂次，防止因为裂缝条数较多，造成矩阵太大 +for i=1:nf + d3intersection=raopoint{i,1};anothersection=raopoint{i,2}; + [ mesh ] = frac_mat_mesh( d3intersection,anothersection,pointvsregion{i,2},pointvsregion{i,1} ); + % for j=1:nf + % [ mesh,d3intersection,anothersection,add_flag ]= frac_frac_mesh_modified(xrao,yrao,zrao,mesh,f(5*i-4,:),f(5*i-3,:),f(5*i-2,:),fracrossfra{i,j},fratmaxfra(i,j),fratminfra(i,j),d3intersection,anothersection,pointvsregion{i,2},pointvsregion{i,1} ); + % addflag(j,1)=addflag(j,1)+add_flag; + % end + raopoint{i,1} = d3intersection; raopoint{i,2} = anothersection;%由原来裂缝与网格的交点不断更新加入其它裂缝与该裂缝的交点 + fracturemesh{i,1}=mesh; + % subplot(nf,1,i);color_fill={'y','r','b','g'}; + % plotmesh2D(mesh,raopoint{i,2},color_fill{1,mod(i,4)+1}); +end + +%% 绘制三维背景网格（基质网格）及裂缝网格分布 +%figure(2) +%network3D(dx,dy,dz,nx,ny,nz ); +%hold on; +figure('color','w'); +% plot_reservoir_3D(max(xrao),max(yrao),dz(1),1,1,nz); +% plot_reservoir_3D(dx(1),dy(1),dz(1),nx,ny,nz); +network3D(dx(1),dy(1),dz(1),nx,ny,nz); +% network3D(1000,700,10,1,1,1); +% network3D(800,300,10,1,1,1); +hold on; + +% network3D_arbitrary(dx,dy,dz,nx,ny,nz); +% refine; +% hold on; +for i=1:nf + % color_fill={'y','r','b','g','c','m'}; + % color_fill={'y','r','b','g'}; + % plotmesh3D( fracturemesh{i,1},raopoint{i,1},color_fill{1,mod(i,4)+1});hold on; + if i <= 100 + color_fill='b'; %流动屏障 + % elseif i <=19 + % color_fill='b'; %压裂缝 +% if i == 2 || i == 9 +% color_fill='r'; +% end + else + color_fill='k'; %天然裂缝 + end + % plotmesh3D( fracturemesh{i,1},raopoint{i,1},color_fill{1,mod(i,4)+1});hold on; + plotmesh3D( fracturemesh{i,1},raopoint{i,1},color_fill);hold on; +end +% % % basic_node_coord = [0,0,0]; +% % % x_length = 700; +% % % y_length = 800; +% % % z_length = 10; +% % % nodes_domain = [basic_node_coord;] +% % % fill3(x,y,z,'w'); +% refine1; +% refine_chengjiepaper; +% refine; +% plot_reservoir_3D(max(xrao),max(yrao),dz(1),1,1,nz); +% plot_reservoir_3D(dx(1),dy(1),dz(1),nx,ny,nz); +xlabel('x, m','FontSize',14); +ylabel('y, m','FontSize',14); +zlabel('z, m','FontSize',14); +ax = gca; +ax.FontSize = 14; +% +% zticks([0, 5]); +% yticks(-1:0.5:1); +% 设置x轴和y轴的刻度标签 +% zticklabels({'-2005', '-2000'}); +% yticklabels({'-1', '-0.5', '0', '0.5', '1'}); +% 关闭刻度标签的旋转 +% xticklabels('Rotation', 0); +% yticklabels('Rotation', 0); +% axis equal; +% refine; +% hold on +% network3D(dx(1),dy(1),dz(1),nx,ny,nz); +% network3D(max(xrao),max(yrao),max(zrao),1,1,1 ); +% network3D(10,10,10,2,1,1 ); +% network3D(10,10,10,6,1,2 ); +alpha(1) +view(3) +% axis([min(xrao),max(xrao),min(yrao),max(yrao),min(zrao),max(zrao)]); +% axis equal +% % hold off; +%% 确定裂缝编号及连接情况，计算传导系数 +if modelflag==1 %表示用2014, Monifar + [ matrixvsfra,connectmf,fracnumber,fracstart,corevsfra,connect_infrac, N,T,zf,fcinff,vf,porf,fcff,T_convection,mat_frac,cell_divided_by_fracture_flag, flowArea, perm, matrixflag, T_diff ] = connections_2014_DP( fracturemesh,pointvsregion,raopoint,f,nf,nx,ny,nz,kx,ky,kz, kx_matrixLayer, ky_matrixLayer, kz_matrixLayer, pori, pori_matrixLayer, Kf,Wf,Porf,dxv,dyv,dzv,coordinates,nodes,NTG,sigma,addflag,valid_grids ); + nfc=size(fracnumber,1); + nex=size(T,1); + r.nfc=nfc; + r.nmc = 2*nmc; + nc=nfc+r.nmc; + r.nc=nc;%基质网格和裂缝单元总数 + r.nex=nex;%具有流体交换的总数 + kf=Kf(fcinff); + wf=Wf(fcinff); + r.kf=kf;%裂缝单元对应的渗透率 + r.wf=wf;%裂缝单元对应的缝宽 + r.N=N; + r.T=T; + r.T_convection=T_convection; + r.T_diff = T_diff; + r.vf=vf; + r.V=[vm;vm;vf]; + r.porf=porf; + r.fcff=fcff; + r.mat_frac=mat_frac; + r.cell_divided_by_fracture_flag = cell_divided_by_fracture_flag; + r.flowArea=flowArea; + r.perm=perm; + r.matrixflag=matrixflag; +elseif modelflag==4 %表示用 PEDFM + [ matrixvsfra,connectmf,fracnumber,fracstart,corevsfra,connect_infrac, N,T,zf,fcinff,vf,porf,fcff ] = connections_PEDFM_new( fracturemesh,pointvsregion,raopoint,f,nf,nx,ny,nz,kx,ky,kz,Kf,Wf,Porf,dxv,dyv,dzv,coordinates,nodes,NTG,addflag,frac_information, coordinates); + nfc=size(fracnumber,1); + nex=size(T,1); + r.nfc=nfc; + nc=nfc+nmc; + r.nc=nc;%基质网格和裂缝单元总数 + r.nex=nex;%具有流体交换的总数 + kf=Kf(fcinff); + wf=Wf(fcinff); + r.kf=kf;%裂缝单元对应的渗透率 + r.wf=wf;%裂缝单元对应的缝宽 + r.N=N; + r.T=T; + r.vf=vf; + r.V=[vm;vf]; + r.porf=porf; + r.fcff=fcff; +elseif modelflag==5 % 表示实用型PEDFM + [ matrixvsfra,connectmf,fracnumber,fracstart,corevsfra,connect_infrac, N,T,zf,fcinff,vf,porf,fcff, flowArea, perm, matrixflag ] = connections_PEDFM_new_new( fracturemesh,pointvsregion,raopoint,f,nf,nx,ny,nz,kx,ky,kz,pori,Kf,Wf,Porf,dxv,dyv,dzv,coordinates,nodes,NTG,addflag,frac_information, coordinates); + nfc=size(fracnumber,1); + nex=size(T,1); + r.nfc=nfc; + nc=nfc+nmc; + r.nc=nc;%基质网格和裂缝单元总数 + r.nex=nex;%具有流体交换的总数 + kf=Kf(fcinff); + wf=Wf(fcinff); + r.kf=kf;%裂缝单元对应的渗透率 + r.wf=wf;%裂缝单元对应的缝宽 + r.N=N; + r.T=T; + r.vf=vf; + r.V=[vm;vf]; + r.porf=porf; + r.fcff=fcff; + r.flowArea=flowArea; + r.perm=perm; + r.matrixflag=matrixflag; +elseif modelflag==6 % 表示基于非结构网格pEDFM的validation model + [ matrixvsfra,connectmf,fracnumber,fracstart,corevsfra,connect_infrac, N,T,zf,fcinff,vf,porf,fcff,T_convection,mat_frac,number_of_adding,cell_divided_by_fracture_flag] = connections_unstructured_EDFM( fracturemesh,pointvsregion,raopoint,f,nf,nx,ny,nz,kx,ky,kz,Kf,Wf,Porf,dxv,dyv,dzv,coordinates,nodes,NTG,addflag ); + nfc=size(fracnumber,1); + nex=size(T,1); + r.nfc=nfc; + r.number_of_adding=number_of_adding; + nmc = nmc+number_of_adding; + r.nmc = nmc; + nc=nfc+nmc; + r.nc=nc;%基质网格和裂缝单元总数 + r.nex=nex;%具有流体交换的总数 + kf=Kf(fcinff); + wf=Wf(fcinff); + r.kf=kf;%裂缝单元对应的渗透率 + r.wf=wf;%裂缝单元对应的缝宽 + r.N=N; + r.T=T; + r.T_convection=T_convection; + r.vf=vf; + % 劈分或增加 + vm_the_added_cell = vm(cell_divided_by_fracture_flag)*1/2; + vm(cell_divided_by_fracture_flag) = vm(cell_divided_by_fracture_flag)*1/2; + vm = [vm; vm_the_added_cell]; + r.V=[vm;vf]; + pori = [pori; pori(cell_divided_by_fracture_flag)]; + r.cell_divided_by_fracture_flag = cell_divided_by_fracture_flag; + r.porf=porf; + r.fcff=fcff; + r.mat_frac=mat_frac; +elseif modelflag==7 + [ matrixvsfra,connectmf,fracnumber,fracstart,corevsfra,connect_infrac, N,T,zf,fcinff,vf,porf,fcff ] = connections_PEDFM_EX1_solutions( fracturemesh,pointvsregion,raopoint,f,nf,nx,ny,nz,kx,ky,kz,Kf,Wf,Porf,dxv,dyv,dzv,coordinates,nodes,NTG,addflag,frac_information, coordinates); + nfc=size(fracnumber,1); + nex=size(T,1); + r.nfc=nfc; + nc=nfc+nmc; + r.nc=nc;%基质网格和裂缝单元总数 + r.nex=nex;%具有流体交换的总数 + kf=Kf(fcinff); + wf=Wf(fcinff); + r.kf=kf;%裂缝单元对应的渗透率 + r.wf=wf;%裂缝单元对应的缝宽 + r.N=N; + r.T=T; + r.vf=vf; + r.V=[vm;vf]; + r.porf=porf; + r.fcff=fcff; +elseif modelflag==8 % 表示基于非结构网格pEDFM的validation model + [ matrixvsfra,connectmf,fracnumber,fracstart,corevsfra,connect_infrac, N,T,zf,fcinff,vf,porf,fcff,T_convection,mat_frac,number_of_adding,cell_divided_by_fracture_flag,volume_ratio,fractureCell_matrixCell_addedMatrixCell] = connections_unstructured_EDFM_EX1_solutions( fracturemesh,pointvsregion,raopoint,f,nf,nx,ny,nz,kx,ky,kz,Kf,Wf,Porf,dxv,dyv,dzv,coordinates,nodes,NTG,addflag ); + nfc=size(fracnumber,1); + nex=size(T,1); + r.nfc=nfc; + r.number_of_adding=number_of_adding; + nmc = nmc+number_of_adding; + r.nmc = nmc; + nc=nfc+nmc; + r.nc=nc;%基质网格和裂缝单元总数 + r.nex=nex;%具有流体交换的总数 + kf=Kf(fcinff); + wf=Wf(fcinff); + r.kf=kf;%裂缝单元对应的渗透率 + r.wf=wf;%裂缝单元对应的缝宽 + r.N=N; + r.T=T; + r.T_convection=T_convection; + r.vf=vf; + r.fractureCell_matrixCell_addedMatrixCell = fractureCell_matrixCell_addedMatrixCell; + r.volume_ratio=volume_ratio; + % 劈分或增加 + vm_the_added_cell = vm(cell_divided_by_fracture_flag).*volume_ratio; + vm(cell_divided_by_fracture_flag) = vm(cell_divided_by_fracture_flag).*(1-volume_ratio); + vm = [vm; vm_the_added_cell]; + r.V=[vm;vf]; + pori = [pori; pori(cell_divided_by_fracture_flag)]; + r.cell_divided_by_fracture_flag = cell_divided_by_fracture_flag; + r.porf=porf; + r.fcff=fcff; + r.mat_frac=mat_frac; +elseif modelflag==9 % EX2 不同情况下 pEDFM 解 + [ matrixvsfra,connectmf,fracnumber,fracstart,corevsfra,connect_infrac, N,T,zf,fcinff,vf,porf,fcff ] = connections_PEDFM_EX2_solutions( fracturemesh,pointvsregion,raopoint,f,nf,nx,ny,nz,kx,ky,kz,Kf,Wf,Porf,dxv,dyv,dzv,coordinates,nodes,NTG,addflag,frac_information, coordinates); + nfc=size(fracnumber,1); + nex=size(T,1); + r.nfc=nfc; + nc=nfc+nmc; + r.nc=nc;%基质网格和裂缝单元总数 + r.nex=nex;%具有流体交换的总数 + kf=Kf(fcinff); + wf=Wf(fcinff); + r.kf=kf;%裂缝单元对应的渗透率 + r.wf=wf;%裂缝单元对应的缝宽 + r.N=N; + r.T=T; + r.vf=vf; + r.V=[vm;vf]; + r.porf=porf; + r.fcff=fcff; +elseif modelflag==10 % 表示基于非结构网格pEDFM的 EX2 参考解 + [ matrixvsfra,connectmf,fracnumber,fracstart,corevsfra,connect_infrac, N,T,zf,fcinff,vf,porf,fcff,T_convection,mat_frac,number_of_adding,cell_divided_by_fracture_flag,volume_ratio,fractureCell_matrixCell_addedMatrixCell] = connections_unstructured_EDFM_EX2_1to3_solutions( fracturemesh,pointvsregion,raopoint,f,nf,nx,ny,nz,kx,ky,kz,Kf,Wf,Porf,dxv,dyv,dzv,coordinates,nodes,NTG,addflag ); + nfc=size(fracnumber,1); + nex=size(T,1); + r.nfc=nfc; + r.number_of_adding=number_of_adding; + nmc = nmc+number_of_adding; + r.nmc = nmc; + nc=nfc+nmc; + r.nc=nc;%基质网格和裂缝单元总数 + r.nex=nex;%具有流体交换的总数 + kf=Kf(fcinff); + wf=Wf(fcinff); + r.kf=kf;%裂缝单元对应的渗透率 + r.wf=wf;%裂缝单元对应的缝宽 + r.N=N; + r.T=T; + r.T_convection=T_convection; + r.vf=vf; + r.fractureCell_matrixCell_addedMatrixCell = fractureCell_matrixCell_addedMatrixCell; + r.volume_ratio=volume_ratio; + % 劈分或增加 + vm_the_added_cell = vm(cell_divided_by_fracture_flag).*volume_ratio; + vm(cell_divided_by_fracture_flag) = vm(cell_divided_by_fracture_flag).*(1-volume_ratio); + vm = [vm; vm_the_added_cell]; + r.V=[vm;vf]; + pori = [pori; pori(cell_divided_by_fracture_flag)]; + r.cell_divided_by_fracture_flag = cell_divided_by_fracture_flag; + r.porf=porf; + r.fcff=fcff; + r.mat_frac=mat_frac; +elseif modelflag==11 % 表示基于非结构网格pEDFM的 EX2 参考解 + [ matrixvsfra,connectmf,fracnumber,fracstart,corevsfra,connect_infrac, N,T,zf,fcinff,vf,porf,fcff,T_convection,mat_frac,number_of_adding,cell_divided_by_fracture_flag,volume_ratio,fractureCell_matrixCell_addedMatrixCell] = connections_unstructured_EDFM_EX2_1to2_solutions( fracturemesh,pointvsregion,raopoint,f,nf,nx,ny,nz,kx,ky,kz,Kf,Wf,Porf,dxv,dyv,dzv,coordinates,nodes,NTG,addflag ); + nfc=size(fracnumber,1); + nex=size(T,1); + r.nfc=nfc; + r.number_of_adding=number_of_adding; + nmc = nmc+number_of_adding; + r.nmc = nmc; + nc=nfc+nmc; + r.nc=nc;%基质网格和裂缝单元总数 + r.nex=nex;%具有流体交换的总数 + kf=Kf(fcinff); + wf=Wf(fcinff); + r.kf=kf;%裂缝单元对应的渗透率 + r.wf=wf;%裂缝单元对应的缝宽 + r.N=N; + r.T=T; + r.T_convection=T_convection; + r.vf=vf; + r.fractureCell_matrixCell_addedMatrixCell = fractureCell_matrixCell_addedMatrixCell; + r.volume_ratio=volume_ratio; + % 劈分或增加 + vm_the_added_cell = vm(cell_divided_by_fracture_flag).*volume_ratio; + vm(cell_divided_by_fracture_flag) = vm(cell_divided_by_fracture_flag).*(1-volume_ratio); + vm = [vm; vm_the_added_cell]; + r.V=[vm;vf]; + pori = [pori; pori(cell_divided_by_fracture_flag)]; + r.cell_divided_by_fracture_flag = cell_divided_by_fracture_flag; + r.porf=porf; + r.fcff=fcff; + r.mat_frac=mat_frac; +elseif modelflag==12 % 表示基于非结构网格pEDFM的 EX2 参考解 + [ matrixvsfra,connectmf,fracnumber,fracstart,corevsfra,connect_infrac, N,T,zf,fcinff,vf,porf,fcff,T_convection,mat_frac,number_of_adding,cell_divided_by_fracture_flag,volume_ratio,fractureCell_matrixCell_addedMatrixCell] = connections_unstructured_EDFM_EX2_1to4_solutions( fracturemesh,pointvsregion,raopoint,f,nf,nx,ny,nz,kx,ky,kz,Kf,Wf,Porf,dxv,dyv,dzv,coordinates,nodes,NTG,addflag ); + nfc=size(fracnumber,1); + nex=size(T,1); + r.nfc=nfc; + r.number_of_adding=number_of_adding; + nmc = nmc+number_of_adding; + r.nmc = nmc; + nc=nfc+nmc; + r.nc=nc;%基质网格和裂缝单元总数 + r.nex=nex;%具有流体交换的总数 + kf=Kf(fcinff); + wf=Wf(fcinff); + r.kf=kf;%裂缝单元对应的渗透率 + r.wf=wf;%裂缝单元对应的缝宽 + r.N=N; + r.T=T; + r.T_convection=T_convection; + r.vf=vf; + r.fractureCell_matrixCell_addedMatrixCell = fractureCell_matrixCell_addedMatrixCell; + r.volume_ratio=volume_ratio; + % 劈分或增加 + vm_the_added_cell = vm(cell_divided_by_fracture_flag).*volume_ratio; + vm(cell_divided_by_fracture_flag) = vm(cell_divided_by_fracture_flag).*(1-volume_ratio); + vm = [vm; vm_the_added_cell]; + r.V=[vm;vf]; + pori = [pori; pori(cell_divided_by_fracture_flag)]; + r.cell_divided_by_fracture_flag = cell_divided_by_fracture_flag; + r.porf=porf; + r.fcff=fcff; + r.mat_frac=mat_frac; +elseif modelflag==13 % 表示基于非结构网格pEDFM的 EX2 参考解 + [ matrixvsfra,connectmf,fracnumber,fracstart,corevsfra,connect_infrac, N,T,zf,fcinff,vf,porf,fcff ] = connections_PEDFM_TPFA_MFD( fracturemesh,pointvsregion,raopoint,f,nf,nx,ny,nz,perm,Kf,Wf,Porf,dxv,dyv,dzv,coordinates,nodes,NTG,addflag,frac_information, coordinates); + nfc=size(fracnumber,1); + nex=size(T,1); + r.nfc=nfc; + nc=nfc+nmc; + r.nc=nc;%基质网格和裂缝单元总数 + r.nex=nex;%具有流体交换的总数 + kf=Kf(fcinff); + wf=Wf(fcinff); + r.kf=kf;%裂缝单元对应的渗透率 + r.wf=wf;%裂缝单元对应的缝宽 + r.N=N; + r.T=T; + r.vf=vf; + r.V=[vm;vf]; + r.porf=porf; + r.fcff=fcff; +elseif modelflag==14 %表示用 PEDFM + [ matrixvsfra,connectmf,fracnumber,fracstart,corevsfra,connect_infrac, N,T,zf,fcinff,vf,porf,fcff ] = connections_PEDFM_new_twofractures( fracturemesh,pointvsregion,raopoint,f,nf,nx,ny,nz,kx,ky,kz,Kf,Wf,Porf,dxv,dyv,dzv,coordinates,nodes,NTG,addflag,frac_information, coordinates); + nfc=size(fracnumber,1); + nex=size(T,1); + r.nfc=nfc; + nc=nfc+nmc; + r.nc=nc;%基质网格和裂缝单元总数 + r.nex=nex;%具有流体交换的总数 + kf=Kf(fcinff); + wf=Wf(fcinff); + r.kf=kf;%裂缝单元对应的渗透率 + r.wf=wf;%裂缝单元对应的缝宽 + r.N=N; + r.T=T; + r.vf=vf; + r.V=[vm;vf]; + r.porf=porf; + r.fcff=fcff; +else + [ matrixvsfra,connectmf,fracnumber,fracstart,corevsfra,connect_infrac, N,T,zf,fcinff,vf,porf,fcff ] = connections( fracturemesh,pointvsregion,raopoint,f,nf,nx,ny,nz,kx,ky,kz,Kf,Wf,Porf,dxv,dyv,dzv,NTG ); + nfc=size(fracnumber,1); + nex=size(T,1); + r.nfc=nfc; + nc=nfc+nmc; + r.nc=nc;%基质网格和裂缝单元总数 + r.nex=nex;%具有流体交换的总数 + kf=Kf(fcinff); + wf=Wf(fcinff); + r.kf=kf;%裂缝单元对应的渗透率 + r.wf=wf;%裂缝单元对应的缝宽 + r.N=N; + r.T=T; + r.vf=vf; + r.V=[vm;vf]; + r.porf=porf; + r.fcff=fcff; + %% 计算传导系数 + % dxvector=ones(1,nx);dyvector=ones(1,ny);dzvector=ones(1,nz); + % [ transmatrix,transfracture ] = trans(dxvector,dyvector,dzvector ,nx,ny,nz,nf,fracnumber,lengthvsfra,disvsfra,fracstart,connect_infrac,corevsfra,matrixvsfra,raopoint,f ); + %% 计算基质与裂缝之间窜流的相关系数 + if modelflag==2 %表示用2018, Rao + [ G,Gfm,Gff,Gf,Ap,Apf ]=interflowmf1(r,dxv,dyv,dzv,matrixvsfra,connectmf,fracstart,fracnumber,raopoint,f,nodes,coordinates,nf,corevsfra ); + [Ka, M, F2M , MF_coef] = transFunc_aniso(nc,coordinates, nodes, connectmf,Ap,Apf, matrixvsfra,N,T,kx, ky,kz); + r.Ka = Ka; + r.M = M; + r.F2M = F2M; + r.MF_coef = MF_coef; + elseif modelflag==5 %表示用 Modified Rao, steady, 2018 + [ G,Gfm,Gff,Gf,Ap,Apf ] = interflowmf_MODIFIED(r,dxv,dyv,dzv,matrixvsfra,connectmf,fracstart,fracnumber,raopoint,f,nodes,coordinates,nf,corevsfra ); + [Ka, M, F2M , MF_coef] = transFunc_aniso_MODIFIED(nc,coordinates, nodes, connectmf,Ap,Apf, matrixvsfra,N,T,kx, ky,kz); + r.Ka = Ka; + r.M = M; + r.F2M = F2M; + r.MF_coef = MF_coef; + % [ G,Gfm,Gff,Gf,Ap,Apf,Apmt,Apft ]=interflowmf1_transient(dxv,dyv,dzv,matrixvsfra,connectmf,fracstart,fracnumber,raopoint,f,nodes,coordinates,nf,corevsfra ); + end + % [ G,Gfm,Gff,Gf,Ap,Apf ]=interflowmf1(dxv,dyv,dzv,matrixvsfra,connectmf,fracstart,fracnumber,raopoint,f,nodes,coordinates,nf,corevsfra ); + %% + + % r.MF_deltt=MF_deltt; +end +%% 计算深度（以下平面为基准计算得到的高度，值为正数） +z=[zm;zm;zf]; +r.z=z; +rpt = [ones(r.nmc, 1); zeros(nfc, 1)]; +r.rpt = rpt; +r.Porf = Porf; +pori = [pori; pori_matrixLayer; porf]; +r.pori = pori; +r.por = @(p)por(p, prpor, pori, cpor, prporf, cporf, r.rpt); +tpre=toc; +r.tpre=tpre; +end \ No newline at end of file diff --git a/core functions/程序整合及组分流部分代码/cal_gas_prop.m b/core functions/程序整合及组分流部分代码/cal_gas_prop.m new file mode 100644 index 0000000..7a482bb --- /dev/null +++ b/core functions/程序整合及组分流部分代码/cal_gas_prop.m @@ -0,0 +1,5 @@ +function [Ppr,BG,MUG] = cal_gas_prop(prg,Bgi,cg,vgi,cvg) +Ppr = (0.1:0.1:100)'; +BG = Bgi * (1 - cg * (Ppr - prg)); +MUG = vgi + cvg * (Ppr - prg); +end \ No newline at end of file diff --git a/core functions/程序整合及组分流部分代码/connections_2014_DP.asv b/core functions/程序整合及组分流部分代码/connections_2014_DP.asv new file mode 100644 index 0000000..98424b1 --- /dev/null +++ b/core functions/程序整合及组分流部分代码/connections_2014_DP.asv @@ -0,0 +1,579 @@ +function [ matrixvsfra,connectmf,fracnumber,fracstart,corevsfra,connect_infrac,N,T,zf,fcinff,vf,porf,fcff,T_convection,mat_frac,cell_divided_by_fracture_flag, flowArea, perm, matrixflag] = connections_2014( fracturemesh,pointvsregion,raopoint,f,nf,nx,ny,nz,kx,ky,kz, kx_matrixLayer, ky_matrixLayer, kz_matrixLayer, pori, pori_matrixLayer,kf,wf,Porf,dxv,dyv,dzv,coord,nodes,NTG,sigma,addflag ) +% 该函数用以给裂缝面网格编号，并存储网格间的连接关系及传导率，是前处理的关键步骤 +% 不同于二维嵌入式离散裂缝模型，三维模型中，裂缝是二维平面，网格之间连接关系复杂， +%不能简单得从基质网格来判定，若所处基质网格不相邻，则裂缝网格必不相邻，若所处基质网格相邻，裂缝网格却不一定相邻 +%上述原则无助于我们去确定connections，故拟采取以下方案： +%第一步:按照xink矩阵去掉零行后，按照行数依次给某裂缝面网格编号，同时存储裂缝网格所在的基质网格序号 +%第二步:存储每个裂缝网格的面积，边界，边界长度，中心点坐标，中心点到各边界的距离，为后续操作做准备 +%第三步:按照裂缝网格序号顺序，按照边界进行搜索，如果有相同的边界，则两个裂缝网格是相邻的 +%matrixvsfra矩阵代表基质网格中包含裂缝网格编号的情况 +%fracnumber矩阵，行序号表示该裂缝网格编号，行内容表示该网格包含的点序号 +%areavsfra矩阵，行序号表示该裂缝网格编号，行内容表示该裂缝网格的面积 +%每相邻两列是一条边，然后将顺序反过来，又是两列一条边 +%lengthvsfra矩阵，行序号表示该裂缝网格编号，行内容表示该裂缝网格的各边长度 +%corevsfra矩阵，行序号表示该裂缝网格编号，行内容表示该裂缝网格的重心坐标 +%disvsfra矩阵，行序号表示该裂缝网格编号，行内容表示该裂缝网格的重心到各边的距离 +matrixvsfra=zeros(nx*ny*nz,10);%为了减少该矩阵的大小，考虑实际情况，一个基质网格中，一般不会有超过10个裂缝网格 +fracnumber=zeros(1000,20);%根据实际情况，裂缝网格一般不会超过1000个，也可根据实际情况改变 +%m=size(xink,1); +rownum=zeros(nf,1); +for i=1:nf + rownum(i)=size(fracturemesh{i,1},1); +end +%% 将所有裂缝面网格连起来一起编号，并将编号扔给相应的基质网格 +q=1; +fracstart=zeros(nf+1,1);%这个表示在总编号中，每条裂缝起始的号码 +for j=1:nf + fracstart(j)=q; + numofmesh=pointvsregion{j,1}; + for i=1:1:rownum(j) + if(norm(fracturemesh{j,1}(i,:))~=0) + raoindice=size(fracturemesh{j,1}(i,:),2); + fracnumber(q,1:raoindice)=fracturemesh{j,1}(i,:);%q即是该裂缝编号 + % m=floor((i+(2^nf)-1)/(2^nf)); + m=floor((i+(2^addflag(j)-1))/(2^addflag(j))); + indice=find(matrixvsfra(numofmesh(m),:)~=0); + % indice=find(matrixvsfra(numofmesh(i),:)~=0); + if (size(indice,2)==0) xiang=1; + else + rao=max(indice'); + xiang=rao(1)+1; + end + matrixvsfra(numofmesh(m),xiang)=q;%将裂缝编号附给相应的基质网格 + q=q+1; + end + end +end +fracstart(nf+1)=q;%裂缝网格总数量+1 +fracnumber(q:1000,:)=[]; + + +%% 将包含有裂缝单元的基质网格筛选出来,并进行处理 +m=size(matrixvsfra,1); +mat_frac=[]; +connectmf=cell(1,4); +% for i=1:m +% if (norm(matrixvsfra(i,:))~=0) +% ConnecS = cell(1,4); +cc = 0; +cl = 1; +for i = 1 : m + %筛选出包含裂缝的基质网格 + % if ~isempty(matrixvsfra(i,:)) + if (norm(matrixvsfra(i,:)))~=0 + cc = cc + 1; + %存储该基质网格编号 + connectmf{cc,1} = i; + mat_frac=[mat_frac;i]; + %给这些裂缝点/裂缝单元按顺序编号 + A=matrixvsfra(i,:); + A(A==0)=[]; + connectmf{cc,2} =A; + end +end + +%% 一条条裂缝计算裂缝网格面积、边界等等 +% edgevsfra=cell(nf,1); +% Kffl=funtion_data.Kffl; +% Dffl=funtion_data.Dffl; +% kffl=zeros(q-1,1); +% dffl=zeros(q-1,1); +normalvec=zeros(q-1,3);%unit 法向量 +areavsfra=zeros(q-1,1);%q-1即裂缝网格总数 +lengthvsfra=zeros(q-1,10); +Kf=zeros(q-1,1);%裂缝网格渗透率 +Wf=zeros(q-1,1);%裂缝单元缝宽 +corevsfra=zeros(q-1,3); +disvsfra=zeros(q-1,10); +tran=zeros(q-1,10); +avtran=zeros(q-1,1);%裂缝网格平均传导，用于后续的简化计算 +ave_disvsfra=zeros(q-1,1); +fcinff=zeros(q-1,1);%表示裂缝单元所在的裂缝面序号 +zf=zeros(q-1,1);%裂缝单元高度（以下表面为基准） +vf=zeros(q-1,1);%裂缝单元的体积 +porf=zeros(q-1,1);%裂缝单元的孔隙度 +avfracFaceArea = zeros(q-1,1); +for i=1:1:q-1 %对裂缝网格进行操作 + if(norm(fracnumber(i,:))==0) break; + else + for k=2:(nf+1) + if(i0 + for i=1:(q-1) + [dogindex,~]=find(deindex==i); + if length(dogindex)~=0 + newnum(i)=0; + else + [catindex,~]=find(deindex2)||((size(raoflag,2)<2))) continue;%因为是凸多边形，因此只要代表裂缝网格的行向量的共有元素有2个，即有公共边； + %如果多于2个，则是相同的裂缝网格，因为如果不是，则必有一个是凹多边形，矛盾，证毕；如果小于两个，则没有共有的边线 + else if (a==b) continue; %说明这两个裂缝单元在同一个基质网格中，因此不应该算在此类中 + else + raoconnect(p,q)=k;q=q+1; + lengthcat=norm(d3intersection(raoflag(1),:)-d3intersection(raoflag(2),:));%计算裂缝单元公共边长度 + rao1k=corevsfra(k,:)-d3intersection(raoflag(1),:); + rao1j=corevsfra(j,:)-d3intersection(raoflag(1),:); + rao2=d3intersection(raoflag(1),:)-d3intersection(raoflag(2),:); + %分别计算两裂缝单元中心到公共边的距离 + disk=norm(cross(rao1k',rao2'))/norm(rao2); + disj=norm(cross(rao1j',rao2'))/norm(rao2); + if kf(i)==0 + hartran=0;hartran_convection=0; + kij = 0; + else + tran1=kf(i)*wf(i)*lengthcat/disk; + tran2=kf(i)*wf(i)*lengthcat/disj; + % hartran=length/(disk+disj);%取调和平均 + hartran=tran1*tran2/(tran1+tran2); + k_harmony= kf(i); + hartran_convection=kf(i)/(disk+disj)^2; + kij = 2*(Kf(j)^(-1)+Kf(k)^(-1))^(-1); + end + Nff=[Nff; j,k]; + Tff=[Tff;hartran]; + Tff_convection=[Tff_convection;hartran_convection]; + perm_ff = [perm_ff; kij]; + flowArea_ff = [flowArea_ff; wf(i)*lengthcat]; + %计算出每个裂缝网格重心到每条边的距离 + end + end + p=p+1; + end + connect_infrac{i,1}=raoconnect; + end +end +Nff(1,:)=[]; %去除第一行的零行 +Tff(1,:)=[]; +Tff_convection(1,:)=[]; +perm_ff(1,:)=[]; +flowArea_ff(1,:)=[]; +%% 在同一基质网格中的裂缝单元连接情况及传导率计算 +nmc=size(matrixvsfra,1); +Nmff=zeros(1,2); +Tmff=zeros(1,1); +Tmff_convection=zeros(1,1); +perm_mff=zeros(1,1); +flowArea_mff=zeros(1,1); +for i=1:nmc + if(norm(matrixvsfra(i,:))~=0) + indice=find(matrixvsfra(i,:)~=0); + n=size(indice,2); + if (n>1) %此时表明要采取下述的简化算法 + % lengthvsfra(matrixvsfra(i,indice))./disvsfra(matrixvsfra(i,indice)) + for j=1:n-1 + for k=(j+1):n + Nmff=[Nmff;matrixvsfra(i,indice(j)), matrixvsfra(i,indice(k))]; + % 此时的计算方式是先求每个裂缝网格的算术平均，再算包含在该基质网格中的所有裂缝单元的算术平均 + fc1=matrixvsfra(i,indice(j)); fc2=matrixvsfra(i,indice(k)); + allfc=matrixvsfra(i,1:n); sumtran=sum(fcff{1,7}(allfc)); + if sumtran==0 + Tmff=[Tmff; 0];Tmff_convection=[Tmff_convection;0]; + perm_mff=[perm_mff;0];flowArea_mff=[flowArea_mff;(avfracFaceArea(fc1)+avfracFaceArea(fc2))/2]; + else + Tmff=[Tmff; fcff{1,7}(fc1)*fcff{1,7}(fc2)/sumtran]; + perm_mff=[perm_mff;(Kf(fc1)^(-1)+Kf(fc2)^(-1))^(-1)]; + flowArea_mff=[flowArea_mff;(avfracFaceArea(fc1)+avfracFaceArea(fc2))/2]; + end + end + end + end + end +end +Nmff(1,:)=[]; %去掉开头的零行 +Tmff(1,:)=[]; +% Tmff =Tmff*0; +Tmff_convection(1,:)=[]; +perm_mff(1,:)=[]; +flowArea_mff(1,:)=[]; +% N = [N; Nmff+nmc]; +% T = [T; Tmff]; + +%% 基质网格的连接情况及传导系数计算 +nmc= nx * ny*nz;%基质网格数目 +nfc=size(fracnumber,1);%裂缝单元数目 +rpt = [ones(nmc, 1); zeros(nfc, 1)]; +% r.rpt = rpt; +nmm = (nx-1)*ny*nz+(ny-1)*nx*nz+(nz-1)*nx*ny;%nmm是基质网格之间存在流体交换的总数 +% r.nf = nmm + nff;%nff是裂缝单元之间存在流体交换的总数 +Kx=kx.*ones(nmc,1); +Ky=ky.*ones(nmc,1); +Kz=kz.*ones(nmc,1); +N = zeros(nmm, 2);%存储基质网格之间存在流体交换的网格编号 +T = zeros(nmm, 1);%存储对应与N矩阵的传导系数 +T_convection = zeros(nmm, 1); +perm = zeros(nmm, 1); +flowArea = zeros(nmm, 1); +c = 0; +for k= 1 : nz + for j = 1 : ny + for i = 1 : nx - 1 + c = c + 1; + index = i + (j - 1) * nx + (k - 1) * nx * ny; + indexn = index + 1; + N(c, :) = [index, indexn]; + T(c) = 2 * dzv(index)*dyv(index)*Kx(index)*Kx(indexn)*NTG(index)*NTG(indexn)/(Kx(index)*dxv(indexn)*NTG(index) + Kx(indexn)*dxv(index)*NTG(indexn)); + T_convection(c) = 2/(1/Kx(index)+1/Kx(indexn))/(dxv(indexn)+dxv(index)); + perm(c)=2*Kx(index)*Kx(indexn)/(Kx(index) + Kx(indexn)); + flowArea(c)=dzv(index)*dyv(index); + end + end +end + +for k= 1 : nz + for i = 1 : nx + for j = 1 : ny - 1 + c = c + 1; + index = i + (j - 1) * nx + (k - 1) * nx * ny; + indexn = index + nx; + N(c, :) = [index, indexn]; + T(c) = 2 * dzv(index)*dxv(index)*Ky(index)*Ky(indexn)/(Ky(index)*dyv(indexn) + Ky(indexn)*dyv(index)); + T_convection(c) = 2/(1/Ky(index)+1/Ky(indexn))/(dyv(indexn)+dyv(index)); + perm(c)=2*Ky(index)*Ky(indexn)/(Ky(index) + Ky(indexn)); + flowArea(c)=dzv(index)*dxv(index); + end + end +end + +for i = 1 : nx + for j = 1 : ny + for k= 1: nz-1 + c = c + 1; + index = i + (j - 1) * nx + (k - 1) * nx * ny; + indexn = index + nx * ny; + N(c, :) = [index, index + nx*ny]; + T(c) = 2 * dxv(index)*dyv(index)*Kz(index)*Kz(indexn)/(Kz(index)*dzv(indexn) + Kz(indexn)*dzv(index)); + T_convection(c) = 2/(1/Kz(index)+1/Kz(indexn))/(dzv(indexn)+dzv(index)); + perm(c)=2*Kz(index)*Kz(indexn)/(Kz(index) + Kz(indexn)); + flowArea(c)=dxv(index)*dyv(index); + end + end +end +%% 双重介质处理 +%% 基质网格的连接情况及传导系数计算 +nmc= nx * ny*nz;%基质网格数目 +nfc=size(fracnumber,1);%裂缝单元数目 +rpt = [ones(nmc, 1); ones(nmc, 1); zeros(nfc, 1)]; +% r.rpt = rpt; +nmm = (nx-1)*ny*nz+(ny-1)*nx*nz+(nz-1)*nx*ny;%nmm是基质网格之间存在流体交换的总数 +% r.nf = nmm + nff;%nff是裂缝单元之间存在流体交换的总数 +Kx_matrixLayer=kx_matrixLayer.*ones(nmc,1); +Ky_matrixLayer=ky_matrixLayer.*ones(nmc,1); +Kz_matrixLayer=kz_matrixLayer.*ones(nmc,1); +N_matrixLayer = zeros(nmm, 2);% +T_matrixLayer = zeros(nmm, 1);% +T_convection_matrixLayer = zeros(nmm, 1); +perm_matrixLayer = zeros(nmm, 1); +flowArea_matrixLayer = zeros(nmm, 1); +c = 0; +for k= 1 : nz + for j = 1 : ny + for i = 1 : nx - 1 + c = c + 1; + index = i + (j - 1) * nx + (k - 1) * nx * ny; + indexn = index + 1; + N_matrixLayer(c, :) = [index, indexn]; + T_matrixLayer(c) = 2 * dzv(index)*dyv(index)*Kx_matrixLayer(index)*Kx_matrixLayer(indexn)*NTG(index)*NTG(indexn)/(Kx_matrixLayer(index)*dxv(indexn)*NTG(index) + Kx_matrixLayer(indexn)*dxv(index)*NTG(indexn)); + T_convection_matrixLayer(c) = 2/(1/Kx_matrixLayer(index)+1/Kx_matrixLayer(indexn))/(dxv(indexn)+dxv(index)); + perm_matrixLayer(c)=2*Kx_matrixLayer(index)*Kx_matrixLayer(indexn)/(Kx_matrixLayer(index) + Kx_matrixLayer(indexn)); + flowArea_matrixLayer(c)=dzv(index)*dyv(index); + end + end +end + +for k= 1 : nz + for i = 1 : nx + for j = 1 : ny - 1 + c = c + 1; + index = i + (j - 1) * nx + (k - 1) * nx * ny; + indexn = index + nx; + N_matrixLayer(c, :) = [index, indexn]; + T_matrixLayer(c) = 2 * dzv(index)*dxv(index)*Ky_matrixLayer(index)*Ky_matrixLayer(indexn)/(Ky_matrixLayer(index)*dyv(indexn) + Ky_matrixLayer(indexn)*dyv(index)); + T_convection_matrixLayer(c) = 2/(1/Ky_matrixLayer(index)+1/Ky_matrixLayer(indexn))/(dyv(indexn)+dyv(index)); + perm_matrixLayer(c)=2*Ky_matrixLayer(index)*Ky_matrixLayer(indexn)/(Ky_matrixLayer(index) + Ky_matrixLayer(indexn)); + flowArea_matrixLayer(c)=dzv(index)*dxv(index); + end + end +end + +for i = 1 : nx + for j = 1 : ny + for k= 1: nz-1 + c = c + 1; + index = i + (j - 1) * nx + (k - 1) * nx * ny; + indexn = index + nx * ny; + N_matrixLayer(c, :) = [index, index + nx*ny]; + T_matrixLayer(c) = 2 * dxv(index)*dyv(index)*Kz_matrixLayer(index)*Kz_matrixLayer(indexn)/(Kz_matrixLayer(index)*dzv(indexn) + Kz_matrixLayer(indexn)*dzv(index)); + T_convection_matrixLayer(c) = 2/(1/Kz_matrixLayer(index)+1/Kz_matrixLayer(indexn))/(dzv(indexn)+dzv(index)); + perm_matrixLayer(c)=2*Kz_matrixLayer(index)*Kz_matrixLayer(indexn)/(Kz_matrixLayer(index) + Kz_matrixLayer(indexn)); + flowArea_matrixLayer(c)=dxv(index)*dyv(index); + end + end +end +%% 构建基质层网格与裂缝层网格间的连接 +N_fractureMatrixLayer = zeros(nmc, 2);% +T_fractureMatrixLayer = zeros(nmc, 1);% +T_convection_fractureMatrixLayer = zeros(nmc, 1); +perm_fractureMatrixLayer = zeros(nmc, 1); +flowArea_fractureMatrixLayer = zeros(nmc, 1); +for k= 1 : nz + for j = 1 : ny + for i = 1 : nx - 1 + c = c + 1; + index = i + (j - 1) * nx + (k - 1) * nx * ny; + indexn = index + nmc; + N_fractureMatrixLayer(c, :) = [index, indexn]; + T_fractureMatrixLayer(c) = dzv(index)*dyv(index)*dxv(index)*Kx(index)*sigma(c); + T_convection_fractureMatrixLayer(c) = 2/(1/Kx_matrixLayer(index)+1/Kx_matrixLayer(indexn)); + perm_fractureMatrixLayer(c)=2*Kx_matrixLayer(index)*Kx_matrixLayer(indexn)/(Kx_matrixLayer(index) + Kx_matrixLayer(indexn)); + flowArea_fractureMatrixLayer(c)=dzv(index)*dyv(index); + end + end +end +%% 按照2014年的方法，将窜流处理为与上述相似的形式 +syms x y z; +Ninterflow=[]; +Tinterflow=[]; +Tinterflow_convection=[]; +cell_divided_by_fracture_flag = []; +perm_interflow=[]; +flowArea_interflow=[]; +for i=1:nx*ny*nz %基质网格编号 + flag = 0; + for j=1:10 + if matrixvsfra(i,j)~=0 %this matrix cell contains a fracture cell + flag = flag + 1; + Ninterflow=[Ninterflow;i,matrixvsfra(i,j)+nmc]; + kcell=(kx(i)*ky(i)*kz(i))^(1/3); + % kcell = sqrt(10*100)*1e-3; + Knnc=kcell*Kf(matrixvsfra(i,j))/(kcell+Kf(matrixvsfra(i,j))); + Annc=areavsfra(matrixvsfra(i,j)); + fracore=corevsfra(matrixvsfra(i,j),:); + matnodes=nodes(i,:); + verco=coord(matnodes,:);norvec=normalvec(matrixvsfra(i,j),:); + matcore=mean(verco);d0=matcore-fracore; + dn=(x+d0(1))*norvec(1)+(y+d0(2))*norvec(2)+(z+d0(3))*norvec(3); + % dn=abs(dn);%影响数值积分效率 + dn=sqrt(dn^2); + dn=matlabFunction(dn); + if norvec(1)~=0 && norvec(2)~=0 && norvec(3)~=0 + Dn=integral3(dn,-dxv(i)/2,dxv(i)/2,-dyv(i)/2,dyv(i)/2,-dzv(i)*NTG(i)/2,dzv(i)*NTG(i)/2)/(dxv(i)*dyv(i)*dzv(i)*NTG(i)); + else if norvec(1)~=0 && norvec(2)~=0 + Dn=dzv(i)*NTG(i)*integral2(dn,-dxv(i)/2,dxv(i)/2,-dyv(i)/2,dyv(i)/2)/(dxv(i)*dyv(i)*dzv(i)*NTG(i)); + else if norvec(1)~=0 && norvec(3)~=0 + Dn=dyv(i)*integral2(dn,-dxv(i)/2,dxv(i)/2,-dzv(i)*NTG(i)/2,dzv(i)*NTG(i)/2)/(dxv(i)*dyv(i)*dzv(i)*NTG(i)); + else if norvec(2)~=0 && norvec(3)~=0 + Dn=dxv(i)*integral2(dn,-dyv(i)/2,dyv(i)/2,-dzv(i)*NTG(i)/2,dzv(i)*NTG(i)/2)/(dxv(i)*dyv(i)*dzv(i)*NTG(i)); + else if norvec(1)~=0 + Dn=dyv(i)*dzv(i)*NTG(i)*integral(dn,-dxv(i)/2,dxv(i)/2)/(dxv(i)*dyv(i)*dzv(i)*NTG(i)); + else if norvec(2)~=0 + Dn=dxv(i)*dzv(i)*NTG(i)*integral(dn,-dyv(i)/2,dyv(i)/2)/(dxv(i)*dyv(i)*dzv(i)*NTG(i)); + else if norvec(3)~=0 + Dn=dxv(i)*dyv(i)*integral(dn,-dzv(i)*NTG(i)/2,dzv(i)*NTG(i)/2)/(dxv(i)*dyv(i)*dzv(i)*NTG(i)); + end + end + end + end + end + end + end + % raoT=Knnc*Annc/Dn; + % raoT_convection=2*Knnc/Dn^2; + % Tinterflow=[Tinterflow;raoT]; + % Tinterflow_convection=[Tinterflow_convection;raoT_convection]; + raoT1 = 2*kcell*Annc/Dn; + raoT2 = Kf(matrixvsfra(i,j))*Annc/(Wf(matrixvsfra(i,j))/2); + raoT = (raoT1^-1+raoT2^-1)^-1; + Tinterflow=[Tinterflow;raoT]; + raoT1_conv = kcell/Dn^2; + raoT2_conv = Kf(matrixvsfra(i,j))/(Wf(matrixvsfra(i,j))/2)^2; + raoT_convection = (raoT1_conv^-1+raoT2_conv^-1)^-1; + Tinterflow_convection=[Tinterflow_convection;raoT_convection]; + perm_mf_this = kcell*Kf(matrixvsfra(i,j))/(kcell+Kf(matrixvsfra(i,j))); + perm_interflow = [perm_interflow; perm_mf_this]; + flowArea_interflow = [flowArea_interflow; Annc]; + end + end + if flag >0 + cell_divided_by_fracture_flag = [cell_divided_by_fracture_flag; i]; + end +end +%% 按照2014年的方法，将窜流处理为与上述相似的形式 +% syms x y z; +% Ninterflow=[]; +% Tinterflow=[]; +% for i=1:nx*ny*nz %基质网格编号 +% for j=1:10 +% if matrixvsfra(i,j)~=0 %this matrix cell contains a fracture cell +% Ninterflow=[Ninterflow;i,matrixvsfra(i,j)+nmc]; +% kcell=(kx(i)*ky(i)*kz(i))^(1/3); +% K1=Kf(matrixvsfra(i,j));d1=Wf(matrixvsfra(i,j)); +% K2=kffl(matrixvsfra(i,j));d2=dffl(matrixvsfra(i,j)); +% Annc=2*areavsfra(matrixvsfra(i,j)); +% fracore=corevsfra(matrixvsfra(i,j),:); +% matnodes=nodes(i,:); +% verco=coord(matnodes,:);norvec=normalvec(matrixvsfra(i,j),:); +% matcore=mean(verco);d0=matcore-fracore; +% dn=(x+d0(1))*norvec(1)+(y+d0(2))*norvec(2)+(z+d0(3))*norvec(3); +% % dn=abs(dn);%影响数值积分效率 +% dn=sqrt(dn^2); +% dn=matlabFunction(dn); +% if norvec(1)~=0 && norvec(2)~=0 && norvec(3)~=0 +% Dn=integral3(dn,-dxv(i)/2,dxv(i)/2,-dyv(i)/2,dyv(i)/2,-dzv(i)*NTG(i)/2,dzv(i)*NTG(i)/2)/(dxv(i)*dyv(i)*dzv(i)*NTG(i)); +% else if norvec(1)~=0 && norvec(2)~=0 +% Dn=dzv(i)*NTG(i)*integral2(dn,-dxv(i)/2,dxv(i)/2,-dyv(i)/2,dyv(i)/2)/(dxv(i)*dyv(i)*dzv(i)*NTG(i)); +% else if norvec(1)~=0 && norvec(3)~=0 +% Dn=dyv(i)*integral2(dn,-dxv(i)/2,dxv(i)/2,-dzv(i)*NTG(i)/2,dzv(i)*NTG(i)/2)/(dxv(i)*dyv(i)*dzv(i)*NTG(i)); +% else if norvec(2)~=0 && norvec(3)~=0 +% Dn=dxv(i)*integral2(dn,-dyv(i)/2,dyv(i)/2,-dzv(i)*NTG(i)/2,dzv(i)*NTG(i)/2)/(dxv(i)*dyv(i)*dzv(i)*NTG(i)); +% else if norvec(1)~=0 +% Dn=dyv(i)*dzv(i)*NTG(i)*integral(dn,-dxv(i)/2,dxv(i)/2)/(dxv(i)*dyv(i)*dzv(i)*NTG(i)); +% else if norvec(2)~=0 +% Dn=dxv(i)*dzv(i)*NTG(i)*integral(dn,-dyv(i)/2,dyv(i)/2)/(dxv(i)*dyv(i)*dzv(i)*NTG(i)); +% else if norvec(3)~=0 +% Dn=dxv(i)*dyv(i)*integral(dn,-dzv(i)*NTG(i)/2,dzv(i)*NTG(i)/2)/(dxv(i)*dyv(i)*dzv(i)*NTG(i)); +% end +% end +% end +% end +% end +% end +% end +% raoT=((Kcell*Annc/(Dn-d2))^(-1)+(K2*Annc/d2)^(-1)+(K1*Annc/d1)^(-1))^(-1); +% Tinterflow=[Tinterflow;raoT]; +% end +% end +% end +%% 双重介质处理 + +%% 把上述三种情况的矩阵分别叠加起来 +matrixflag = [ones(size(T,1),1); zeros(size(Tmff,1),1); zeros(size(Tff,1),1); ones(size(Tinterflow,1),1);]; +N = [N; Nmff+nmc; Nff+nmc;Ninterflow;]; +T = [T; Tmff; Tff;Tinterflow;]; +T_convection = [T_convection;Tmff_convection; Tff_convection;Tinterflow_convection;]; +perm = [perm; perm_mff; perm_ff;perm_interflow; ]; +flowArea = [flowArea; flowArea_mff; flowArea_ff;flowArea_interflow;]; +nex=size(N,1); +%% 转到CMG或者ECLIPSE进行计算 +% [ Data_for_ECLIPSE ] = pEDFM_to_CMG_horizontalFractureWell(dxv,dyv,dzv,kx,ky,kz,pori,Kf,Wf,vf,porf,N,T); +% [ Data_for_ECLIPSE ] = pEDFM_to_CMG_horizontalFractureWell_net_pay(dxv,dyv,dzv,kx,ky,kz,pori,Kf,Wf,vf,porf,N,T); +end + diff --git a/core functions/程序整合及组分流部分代码/connections_2014_DP.m b/core functions/程序整合及组分流部分代码/connections_2014_DP.m new file mode 100644 index 0000000..c92c824 --- /dev/null +++ b/core functions/程序整合及组分流部分代码/connections_2014_DP.m @@ -0,0 +1,625 @@ +function [ matrixvsfra,connectmf,fracnumber,fracstart,corevsfra,connect_infrac,N,T,zf,fcinff,vf,porf,fcff,T_convection,mat_frac,cell_divided_by_fracture_flag, flowArea, perm, matrixflag, T_diff] = connections_2014( fracturemesh,pointvsregion,raopoint,f,nf,nx,ny,nz,kx,ky,kz, kx_matrixLayer, ky_matrixLayer, kz_matrixLayer, pori, pori_matrixLayer,kf,wf,Porf,dxv,dyv,dzv,coord,nodes,NTG,sigma,addflag,invalid_grids ) +% 该函数用以给裂缝面网格编号，并存储网格间的连接关系及传导率，是前处理的关键步骤 +% 不同于二维嵌入式离散裂缝模型，三维模型中，裂缝是二维平面，网格之间连接关系复杂， +%不能简单得从基质网格来判定，若所处基质网格不相邻，则裂缝网格必不相邻，若所处基质网格相邻，裂缝网格却不一定相邻 +%上述原则无助于我们去确定connections，故拟采取以下方案： +%第一步:按照xink矩阵去掉零行后，按照行数依次给某裂缝面网格编号，同时存储裂缝网格所在的基质网格序号 +%第二步:存储每个裂缝网格的面积，边界，边界长度，中心点坐标，中心点到各边界的距离，为后续操作做准备 +%第三步:按照裂缝网格序号顺序，按照边界进行搜索，如果有相同的边界，则两个裂缝网格是相邻的 +%matrixvsfra矩阵代表基质网格中包含裂缝网格编号的情况 +%fracnumber矩阵，行序号表示该裂缝网格编号，行内容表示该网格包含的点序号 +%areavsfra矩阵，行序号表示该裂缝网格编号，行内容表示该裂缝网格的面积 +%每相邻两列是一条边，然后将顺序反过来，又是两列一条边 +%lengthvsfra矩阵，行序号表示该裂缝网格编号，行内容表示该裂缝网格的各边长度 +%corevsfra矩阵，行序号表示该裂缝网格编号，行内容表示该裂缝网格的重心坐标 +%disvsfra矩阵，行序号表示该裂缝网格编号，行内容表示该裂缝网格的重心到各边的距离 +matrixvsfra=zeros(nx*ny*nz,10);%为了减少该矩阵的大小，考虑实际情况，一个基质网格中，一般不会有超过10个裂缝网格 +fracnumber=zeros(1000,20);%根据实际情况，裂缝网格一般不会超过1000个，也可根据实际情况改变 +%m=size(xink,1); +rownum=zeros(nf,1); +for i=1:nf + rownum(i)=size(fracturemesh{i,1},1); +end +%% 将所有裂缝面网格连起来一起编号，并将编号扔给相应的基质网格 +q=1; +fracstart=zeros(nf+1,1);%这个表示在总编号中，每条裂缝起始的号码 +for j=1:nf + fracstart(j)=q; + numofmesh=pointvsregion{j,1}; + for i=1:1:rownum(j) + if(norm(fracturemesh{j,1}(i,:))~=0) + raoindice=size(fracturemesh{j,1}(i,:),2); + fracnumber(q,1:raoindice)=fracturemesh{j,1}(i,:);%q即是该裂缝编号 + % m=floor((i+(2^nf)-1)/(2^nf)); + m=floor((i+(2^addflag(j)-1))/(2^addflag(j))); + indice=find(matrixvsfra(numofmesh(m),:)~=0); + % indice=find(matrixvsfra(numofmesh(i),:)~=0); + if (size(indice,2)==0) xiang=1; + else + rao=max(indice'); + xiang=rao(1)+1; + end + matrixvsfra(numofmesh(m),xiang)=q;%将裂缝编号附给相应的基质网格 + q=q+1; + end + end +end +fracstart(nf+1)=q;%裂缝网格总数量+1 +fracnumber(q:1000,:)=[]; + + +%% 将包含有裂缝单元的基质网格筛选出来,并进行处理 +m=size(matrixvsfra,1); +mat_frac=[]; +connectmf=cell(1,4); +% for i=1:m +% if (norm(matrixvsfra(i,:))~=0) +% ConnecS = cell(1,4); +cc = 0; +cl = 1; +for i = 1 : m + %筛选出包含裂缝的基质网格 + % if ~isempty(matrixvsfra(i,:)) + if (norm(matrixvsfra(i,:)))~=0 + cc = cc + 1; + %存储该基质网格编号 + connectmf{cc,1} = i; + mat_frac=[mat_frac;i]; + %给这些裂缝点/裂缝单元按顺序编号 + A=matrixvsfra(i,:); + A(A==0)=[]; + connectmf{cc,2} =A; + end +end + +%% 一条条裂缝计算裂缝网格面积、边界等等 +% edgevsfra=cell(nf,1); +% Kffl=funtion_data.Kffl; +% Dffl=funtion_data.Dffl; +% kffl=zeros(q-1,1); +% dffl=zeros(q-1,1); +normalvec=zeros(q-1,3);%unit 法向量 +areavsfra=zeros(q-1,1);%q-1即裂缝网格总数 +lengthvsfra=zeros(q-1,10); +Kf=zeros(q-1,1);%裂缝网格渗透率 +Wf=zeros(q-1,1);%裂缝单元缝宽 +corevsfra=zeros(q-1,3); +disvsfra=zeros(q-1,10); +tran=zeros(q-1,10); +tran_no_perm=zeros(q-1,10); +avtran=zeros(q-1,1);%裂缝网格平均传导，用于后续的简化计算 +ave_disvsfra=zeros(q-1,1); +fcinff=zeros(q-1,1);%表示裂缝单元所在的裂缝面序号 +zf=zeros(q-1,1);%裂缝单元高度（以下表面为基准） +vf=zeros(q-1,1);%裂缝单元的体积 +porf=zeros(q-1,1);%裂缝单元的孔隙度 +avfracFaceArea = zeros(q-1,1); +for i=1:1:q-1 %对裂缝网格进行操作 + if(norm(fracnumber(i,:))==0) break; + else + for k=2:(nf+1) + if(i0 + for i=1:(q-1) + [dogindex,~]=find(deindex==i); + if length(dogindex)~=0 + newnum(i)=0; + else + [catindex,~]=find(deindex2)||((size(raoflag,2)<2))) continue;%因为是凸多边形，因此只要代表裂缝网格的行向量的共有元素有2个，即有公共边； + %如果多于2个，则是相同的裂缝网格，因为如果不是，则必有一个是凹多边形，矛盾，证毕；如果小于两个，则没有共有的边线 + else if (a==b) continue; %说明这两个裂缝单元在同一个基质网格中，因此不应该算在此类中 + else + raoconnect(p,q)=k;q=q+1; + lengthcat=norm(d3intersection(raoflag(1),:)-d3intersection(raoflag(2),:));%计算裂缝单元公共边长度 + rao1k=corevsfra(k,:)-d3intersection(raoflag(1),:); + rao1j=corevsfra(j,:)-d3intersection(raoflag(1),:); + rao2=d3intersection(raoflag(1),:)-d3intersection(raoflag(2),:); + %分别计算两裂缝单元中心到公共边的距离 + disk=norm(cross(rao1k',rao2'))/norm(rao2); + disj=norm(cross(rao1j',rao2'))/norm(rao2); + if kf(i)==0 + hartran=0;hartran_convection=0; + kij = 0; + else + tran1=kf(i)*wf(i)*lengthcat/disk; + tran2=kf(i)*wf(i)*lengthcat/disj; + % hartran=length/(disk+disj);%取调和平均 + hartran=tran1*tran2/(tran1+tran2); + tran1_diff=wf(i)*lengthcat/disk; + tran2_diff=wf(i)*lengthcat/disj; + % hartran=length/(disk+disj);%取调和平均 + hartran_diff=tran1_diff*tran2_diff/(tran1_diff+tran2_diff); + k_harmony= kf(i); + hartran_convection=kf(i)/(disk+disj)^2; + kij = 2*(Kf(j)^(-1)+Kf(k)^(-1))^(-1); + end + Nff=[Nff; j,k]; + Tff=[Tff;hartran]; + Tff_diff=[Tff_diff;hartran_diff]; + Tff_convection=[Tff_convection;hartran_convection]; + perm_ff = [perm_ff; kij]; + flowArea_ff = [flowArea_ff; wf(i)*lengthcat]; + %计算出每个裂缝网格重心到每条边的距离 + end + end + p=p+1; + end + connect_infrac{i,1}=raoconnect; + end +end +Nff(1,:)=[]; %去除第一行的零行 +Tff(1,:)=[]; +Tff_convection(1,:)=[]; +Tff_diff(1,:)=[]; +perm_ff(1,:)=[]; +flowArea_ff(1,:)=[]; +%% 在同一基质网格中的裂缝单元连接情况及传导率计算 +nmc=size(matrixvsfra,1); +Nmff=zeros(1,2); +Tmff=zeros(1,1); +Tmff_diff=zeros(1,1); +Tmff_convection=zeros(1,1); +perm_mff=zeros(1,1); +flowArea_mff=zeros(1,1); +for i=1:nmc + if(norm(matrixvsfra(i,:))~=0) + indice=find(matrixvsfra(i,:)~=0); + n=size(indice,2); + if (n>1) %此时表明要采取下述的简化算法 + % lengthvsfra(matrixvsfra(i,indice))./disvsfra(matrixvsfra(i,indice)) + for j=1:n-1 + for k=(j+1):n + Nmff=[Nmff;matrixvsfra(i,indice(j)), matrixvsfra(i,indice(k))]; + % 此时的计算方式是先求每个裂缝网格的算术平均，再算包含在该基质网格中的所有裂缝单元的算术平均 + fc1=matrixvsfra(i,indice(j)); fc2=matrixvsfra(i,indice(k)); + allfc=matrixvsfra(i,1:n); sumtran=sum(fcff{1,7}(allfc));sumtran_no_perm=sum(fcff{1,9}(allfc)); + if sumtran==0 + Tmff=[Tmff; 0];Tmff_convection=[Tmff_convection;0]; + Tmff_diff=[Tmff_diff;0]; + perm_mff=[perm_mff;0];flowArea_mff=[flowArea_mff;(avfracFaceArea(fc1)+avfracFaceArea(fc2))/2]; + else + Tmff=[Tmff; fcff{1,7}(fc1)*fcff{1,7}(fc2)/sumtran]; + Tmff_diff=[Tmff_diff;fcff{1,9}(fc1)*fcff{1,9}(fc2)/sumtran_no_perm]; + perm_mff=[perm_mff;(Kf(fc1)^(-1)+Kf(fc2)^(-1))^(-1)]; + flowArea_mff=[flowArea_mff;(avfracFaceArea(fc1)+avfracFaceArea(fc2))/2]; + end + end + end + end + end +end +Nmff(1,:)=[]; %去掉开头的零行 +Tmff(1,:)=[]; +% Tmff =Tmff*0; +Tmff_convection(1,:)=[]; +Tmff_diff(1,:)=[]; +perm_mff(1,:)=[]; +flowArea_mff(1,:)=[]; +% N = [N; Nmff+nmc]; +% T = [T; Tmff]; + +%% 基质网格的连接情况及传导系数计算 +nmc= nx * ny*nz;%基质网格数目 +nfc=size(fracnumber,1);%裂缝单元数目 +rpt = [ones(nmc, 1); zeros(nfc, 1)]; +% r.rpt = rpt; +nmm = (nx-1)*ny*nz+(ny-1)*nx*nz+(nz-1)*nx*ny;%nmm是基质网格之间存在流体交换的总数 +% r.nf = nmm + nff;%nff是裂缝单元之间存在流体交换的总数 +Kx=kx.*ones(nmc,1); +Ky=ky.*ones(nmc,1); +Kz=kz.*ones(nmc,1); +N = zeros(nmm, 2);%存储基质网格之间存在流体交换的网格编号 +T = zeros(nmm, 1);%存储对应与N矩阵的传导系数 +T_convection = zeros(nmm, 1); +T_diff = zeros(nmm, 1); +perm = zeros(nmm, 1); +flowArea = zeros(nmm, 1); +c = 0; +for k= 1 : nz + for j = 1 : ny + for i = 1 : nx - 1 + c = c + 1; + index = i + (j - 1) * nx + (k - 1) * nx * ny; + indexn = index + 1; + N(c, :) = [index, indexn]; + T(c) = 2 * dzv(index)*dyv(index)*Kx(index)*Kx(indexn)*NTG(index)*NTG(indexn)/(Kx(index)*dxv(indexn)*NTG(index) + Kx(indexn)*dxv(index)*NTG(indexn)); + T_convection(c) = 2/(1/Kx(index)+1/Kx(indexn))/(dxv(indexn)+dxv(index)); + perm(c)=2*Kx(index)*Kx(indexn)/(Kx(index) + Kx(indexn)); + T_diff(c)=dzv(index)*dyv(index)/(2/(1/dxv(indexn)+1/dxv(index))); + flowArea(c)=dzv(index)*dyv(index); + end + end +end + +for k= 1 : nz + for i = 1 : nx + for j = 1 : ny - 1 + c = c + 1; + index = i + (j - 1) * nx + (k - 1) * nx * ny; + indexn = index + nx; + N(c, :) = [index, indexn]; + T(c) = 2 * dzv(index)*dxv(index)*Ky(index)*Ky(indexn)/(Ky(index)*dyv(indexn) + Ky(indexn)*dyv(index)); + T_convection(c) = 2/(1/Ky(index)+1/Ky(indexn))/(dyv(indexn)+dyv(index)); + perm(c)=2*Ky(index)*Ky(indexn)/(Ky(index) + Ky(indexn)); + T_diff(c)=dzv(index)*dxv(index)/(2/(1/dyv(indexn)+1/dyv(index))); + flowArea(c)=dzv(index)*dxv(index); + end + end +end + +for i = 1 : nx + for j = 1 : ny + for k= 1: nz-1 + c = c + 1; + index = i + (j - 1) * nx + (k - 1) * nx * ny; + indexn = index + nx * ny; + N(c, :) = [index, index + nx*ny]; + T(c) = 2 * dxv(index)*dyv(index)*Kz(index)*Kz(indexn)/(Kz(index)*dzv(indexn) + Kz(indexn)*dzv(index)); + T_convection(c) = 2/(1/Kz(index)+1/Kz(indexn))/(dzv(indexn)+dzv(index)); + perm(c)=2*Kz(index)*Kz(indexn)/(Kz(index) + Kz(indexn)); + T_diff(c)=dxv(index)*dyv(index)/(2/(1/dzv(indexn)+1/dzv(index))); + flowArea(c)=dxv(index)*dyv(index); + end + end +end +%% 双重介质处理 +%% 基质网格的连接情况及传导系数计算 +N_matrixLayer = [];% +T_matrixLayer = [];% +T_convection_matrixLayer = []; +T_diff_matrixLayer = []; +perm_matrixLayer = []; +flowArea_matrixLayer = []; +% % % nmc= nx * ny*nz;%基质网格数目 +% % % nfc=size(fracnumber,1);%裂缝单元数目 +% % % rpt = [ones(nmc, 1); ones(nmc, 1); zeros(nfc, 1)]; +% % % % r.rpt = rpt; +% % % nmm = (nx-1)*ny*nz+(ny-1)*nx*nz+(nz-1)*nx*ny;%nmm是基质网格之间存在流体交换的总数 +% % % % r.nf = nmm + nff;%nff是裂缝单元之间存在流体交换的总数 +% % % Kx_matrixLayer=kx_matrixLayer.*ones(nmc,1); +% % % Ky_matrixLayer=ky_matrixLayer.*ones(nmc,1); +% % % Kz_matrixLayer=kz_matrixLayer.*ones(nmc,1); +% % % N_matrixLayer = zeros(nmm, 2);% +% % % T_matrixLayer = zeros(nmm, 1);% +% % % T_convection_matrixLayer = zeros(nmm, 1); +% % % T_diff_matrixLayer = zeros(nmm, 1); +% % % perm_matrixLayer = zeros(nmm, 1); +% % % flowArea_matrixLayer = zeros(nmm, 1); +% % % c = 0; +% % % for k= 1 : nz +% % % for j = 1 : ny +% % % for i = 1 : nx - 1 +% % % c = c + 1; +% % % index = i + (j - 1) * nx + (k - 1) * nx * ny; +% % % indexn = index + 1; +% % % N_matrixLayer(c, :) = [index+nmc, indexn+nmc]; +% % % T_matrixLayer(c) = 2 * dzv(index)*dyv(index)*Kx_matrixLayer(index)*Kx_matrixLayer(indexn)*NTG(index)*NTG(indexn)/(Kx_matrixLayer(index)*dxv(indexn)*NTG(index) + Kx_matrixLayer(indexn)*dxv(index)*NTG(indexn)); +% % % T_convection_matrixLayer(c) = 2/(1/Kx_matrixLayer(index)+1/Kx_matrixLayer(indexn))/(dxv(indexn)+dxv(index)); +% % % perm_matrixLayer(c)=2*Kx_matrixLayer(index)*Kx_matrixLayer(indexn)/(Kx_matrixLayer(index) + Kx_matrixLayer(indexn)); +% % % T_diff_matrixLayer(c)=dzv(index)*dyv(index)/(2/(1/dxv(indexn)+1/dxv(index))); +% % % flowArea_matrixLayer(c)=dzv(index)*dyv(index); +% % % end +% % % end +% % % end +% % % +% % % for k= 1 : nz +% % % for i = 1 : nx +% % % for j = 1 : ny - 1 +% % % c = c + 1; +% % % index = i + (j - 1) * nx + (k - 1) * nx * ny; +% % % indexn = index + nx; +% % % N_matrixLayer(c, :) = [index+nmc, indexn+nmc]; +% % % T_matrixLayer(c) = 2 * dzv(index)*dxv(index)*Ky_matrixLayer(index)*Ky_matrixLayer(indexn)/(Ky_matrixLayer(index)*dyv(indexn) + Ky_matrixLayer(indexn)*dyv(index)); +% % % T_convection_matrixLayer(c) = 2/(1/Ky_matrixLayer(index)+1/Ky_matrixLayer(indexn))/(dyv(indexn)+dyv(index)); +% % % perm_matrixLayer(c)=2*Ky_matrixLayer(index)*Ky_matrixLayer(indexn)/(Ky_matrixLayer(index) + Ky_matrixLayer(indexn)); +% % % T_diff_matrixLayer(c)=dzv(index)*dxv(index)/(2/(1/dyv(indexn)+1/dyv(index))); +% % % flowArea_matrixLayer(c)=dzv(index)*dxv(index); +% % % end +% % % end +% % % end +% % % +% % % for i = 1 : nx +% % % for j = 1 : ny +% % % for k= 1: nz-1 +% % % c = c + 1; +% % % index = i + (j - 1) * nx + (k - 1) * nx * ny; +% % % indexn = index + nx * ny; +% % % N_matrixLayer(c, :) = [index+nmc, index + nx*ny+nmc]; +% % % T_matrixLayer(c) = 2 * dxv(index)*dyv(index)*Kz_matrixLayer(index)*Kz_matrixLayer(indexn)/(Kz_matrixLayer(index)*dzv(indexn) + Kz_matrixLayer(indexn)*dzv(index)); +% % % T_convection_matrixLayer(c) = 2/(1/Kz_matrixLayer(index)+1/Kz_matrixLayer(indexn))/(dzv(indexn)+dzv(index)); +% % % perm_matrixLayer(c)=2*Kz_matrixLayer(index)*Kz_matrixLayer(indexn)/(Kz_matrixLayer(index) + Kz_matrixLayer(indexn)); +% % % T_diff_matrixLayer(c)=dxv(index)*dyv(index)/(2/(1/dzv(indexn)+1/dzv(index))); +% % % flowArea_matrixLayer(c)=dxv(index)*dyv(index); +% % % end +% % % end +% % % end +%% 构建基质层网格与裂缝层网格间的连接 +N_fractureMatrixLayer = zeros(nmc, 2);% +T_fractureMatrixLayer = zeros(nmc, 1);% +T_convection_fractureMatrixLayer = zeros(nmc, 1); +T_diff_fractureMatrixLayer = zeros(nmc, 1); +perm_fractureMatrixLayer = zeros(nmc, 1); +flowArea_fractureMatrixLayer = zeros(nmc, 1); +c = 0; +for k= 1 : nz + for j = 1 : ny + for i = 1 : nx + c = c + 1; + index = i + (j - 1) * nx + (k - 1) * nx * ny; + indexn = index + nmc; + N_fractureMatrixLayer(c, :) = [index, indexn]; + perm_fractureMatrixLayer(c)=(Kx(index)*Ky(index)*Kz(index))^(1/3); + T_fractureMatrixLayer(c) = dzv(index)*dyv(index)*dxv(index)*(Kx(index)*Ky(index)*Kz(index))^(1/3)*sigma(c); + T_convection_fractureMatrixLayer(c) = dzv(index)*dyv(index)*dxv(index)*Kx(index)*sigma(c)*dzv(index); + T_diff_fractureMatrixLayer(c) = dzv(index)*dyv(index)*dxv(index)*sigma(c); + flowArea_fractureMatrixLayer(c)=dxv(index)*dyv(index); + end + end +end +%% 按照2014年的方法，将窜流处理为与上述相似的形式 +syms x y z; +Ninterflow=[]; +Tinterflow=[]; +Tinterflow_convection=[]; +Tinterflow_diff=[]; +cell_divided_by_fracture_flag = []; +perm_interflow=[]; +flowArea_interflow=[]; +for i=1:nx*ny*nz %基质网格编号 + flag = 0; + for j=1:10 + if matrixvsfra(i,j)~=0 %this matrix cell contains a fracture cell + flag = flag + 1; + Ninterflow=[Ninterflow;i,matrixvsfra(i,j)+2*nmc]; + kcell=(kx(i)*ky(i)*kz(i))^(1/3); + % kcell = sqrt(10*100)*1e-3; + Knnc=kcell*Kf(matrixvsfra(i,j))/(kcell+Kf(matrixvsfra(i,j))); + Annc=areavsfra(matrixvsfra(i,j)); + fracore=corevsfra(matrixvsfra(i,j),:); + matnodes=nodes(i,:); + verco=coord(matnodes,:);norvec=normalvec(matrixvsfra(i,j),:); + matcore=mean(verco);d0=matcore-fracore; + dn=(x+d0(1))*norvec(1)+(y+d0(2))*norvec(2)+(z+d0(3))*norvec(3); + % dn=abs(dn);%影响数值积分效率 + dn=sqrt(dn^2); + dn=matlabFunction(dn); + if norvec(1)~=0 && norvec(2)~=0 && norvec(3)~=0 + Dn=integral3(dn,-dxv(i)/2,dxv(i)/2,-dyv(i)/2,dyv(i)/2,-dzv(i)*NTG(i)/2,dzv(i)*NTG(i)/2)/(dxv(i)*dyv(i)*dzv(i)*NTG(i)); + else if norvec(1)~=0 && norvec(2)~=0 + Dn=dzv(i)*NTG(i)*integral2(dn,-dxv(i)/2,dxv(i)/2,-dyv(i)/2,dyv(i)/2)/(dxv(i)*dyv(i)*dzv(i)*NTG(i)); + else if norvec(1)~=0 && norvec(3)~=0 + Dn=dyv(i)*integral2(dn,-dxv(i)/2,dxv(i)/2,-dzv(i)*NTG(i)/2,dzv(i)*NTG(i)/2)/(dxv(i)*dyv(i)*dzv(i)*NTG(i)); + else if norvec(2)~=0 && norvec(3)~=0 + Dn=dxv(i)*integral2(dn,-dyv(i)/2,dyv(i)/2,-dzv(i)*NTG(i)/2,dzv(i)*NTG(i)/2)/(dxv(i)*dyv(i)*dzv(i)*NTG(i)); + else if norvec(1)~=0 + Dn=dyv(i)*dzv(i)*NTG(i)*integral(dn,-dxv(i)/2,dxv(i)/2)/(dxv(i)*dyv(i)*dzv(i)*NTG(i)); + else if norvec(2)~=0 + Dn=dxv(i)*dzv(i)*NTG(i)*integral(dn,-dyv(i)/2,dyv(i)/2)/(dxv(i)*dyv(i)*dzv(i)*NTG(i)); + else if norvec(3)~=0 + Dn=dxv(i)*dyv(i)*integral(dn,-dzv(i)*NTG(i)/2,dzv(i)*NTG(i)/2)/(dxv(i)*dyv(i)*dzv(i)*NTG(i)); + end + end + end + end + end + end + end + % raoT=Knnc*Annc/Dn; + % raoT_convection=2*Knnc/Dn^2; + % Tinterflow=[Tinterflow;raoT]; + % Tinterflow_convection=[Tinterflow_convection;raoT_convection]; + raoT1 = 2*kcell*Annc/Dn; + raoT2 = Kf(matrixvsfra(i,j))*Annc/(Wf(matrixvsfra(i,j))/2); + raoT = (raoT1^-1+raoT2^-1)^-1; + Tinterflow=[Tinterflow;raoT]; + raoT1_conv = kcell/Dn^2; + raoT2_conv = Kf(matrixvsfra(i,j))/(Wf(matrixvsfra(i,j))/2)^2; + raoT_convection = (raoT1_conv^-1+raoT2_conv^-1)^-1; + Tinterflow_convection=[Tinterflow_convection;raoT_convection]; + Tinterflow_diff=[Tinterflow_diff;((2*Annc/Dn)^-1+(Annc/(Wf(matrixvsfra(i,j))/2))^-1)^-1;]; + perm_mf_this = kcell*Kf(matrixvsfra(i,j))/(kcell+Kf(matrixvsfra(i,j))); + perm_interflow = [perm_interflow; perm_mf_this]; + flowArea_interflow = [flowArea_interflow; Annc]; + end + end + if flag >0 + cell_divided_by_fracture_flag = [cell_divided_by_fracture_flag; i]; + end +end +%% 按照2014年的方法，将窜流处理为与上述相似的形式 +% syms x y z; +% Ninterflow=[]; +% Tinterflow=[]; +% for i=1:nx*ny*nz %基质网格编号 +% for j=1:10 +% if matrixvsfra(i,j)~=0 %this matrix cell contains a fracture cell +% Ninterflow=[Ninterflow;i,matrixvsfra(i,j)+nmc]; +% kcell=(kx(i)*ky(i)*kz(i))^(1/3); +% K1=Kf(matrixvsfra(i,j));d1=Wf(matrixvsfra(i,j)); +% K2=kffl(matrixvsfra(i,j));d2=dffl(matrixvsfra(i,j)); +% Annc=2*areavsfra(matrixvsfra(i,j)); +% fracore=corevsfra(matrixvsfra(i,j),:); +% matnodes=nodes(i,:); +% verco=coord(matnodes,:);norvec=normalvec(matrixvsfra(i,j),:); +% matcore=mean(verco);d0=matcore-fracore; +% dn=(x+d0(1))*norvec(1)+(y+d0(2))*norvec(2)+(z+d0(3))*norvec(3); +% % dn=abs(dn);%影响数值积分效率 +% dn=sqrt(dn^2); +% dn=matlabFunction(dn); +% if norvec(1)~=0 && norvec(2)~=0 && norvec(3)~=0 +% Dn=integral3(dn,-dxv(i)/2,dxv(i)/2,-dyv(i)/2,dyv(i)/2,-dzv(i)*NTG(i)/2,dzv(i)*NTG(i)/2)/(dxv(i)*dyv(i)*dzv(i)*NTG(i)); +% else if norvec(1)~=0 && norvec(2)~=0 +% Dn=dzv(i)*NTG(i)*integral2(dn,-dxv(i)/2,dxv(i)/2,-dyv(i)/2,dyv(i)/2)/(dxv(i)*dyv(i)*dzv(i)*NTG(i)); +% else if norvec(1)~=0 && norvec(3)~=0 +% Dn=dyv(i)*integral2(dn,-dxv(i)/2,dxv(i)/2,-dzv(i)*NTG(i)/2,dzv(i)*NTG(i)/2)/(dxv(i)*dyv(i)*dzv(i)*NTG(i)); +% else if norvec(2)~=0 && norvec(3)~=0 +% Dn=dxv(i)*integral2(dn,-dyv(i)/2,dyv(i)/2,-dzv(i)*NTG(i)/2,dzv(i)*NTG(i)/2)/(dxv(i)*dyv(i)*dzv(i)*NTG(i)); +% else if norvec(1)~=0 +% Dn=dyv(i)*dzv(i)*NTG(i)*integral(dn,-dxv(i)/2,dxv(i)/2)/(dxv(i)*dyv(i)*dzv(i)*NTG(i)); +% else if norvec(2)~=0 +% Dn=dxv(i)*dzv(i)*NTG(i)*integral(dn,-dyv(i)/2,dyv(i)/2)/(dxv(i)*dyv(i)*dzv(i)*NTG(i)); +% else if norvec(3)~=0 +% Dn=dxv(i)*dyv(i)*integral(dn,-dzv(i)*NTG(i)/2,dzv(i)*NTG(i)/2)/(dxv(i)*dyv(i)*dzv(i)*NTG(i)); +% end +% end +% end +% end +% end +% end +% end +% raoT=((Kcell*Annc/(Dn-d2))^(-1)+(K2*Annc/d2)^(-1)+(K1*Annc/d1)^(-1))^(-1); +% Tinterflow=[Tinterflow;raoT]; +% end +% end +% end +%% 双重介质处理 + +%% 把上述三种情况的矩阵分别叠加起来 +matrixflag = [ones(size(T,1),1); ones(size(T_matrixLayer,1),1); ones(size(T_fractureMatrixLayer,1),1); zeros(size(Tmff,1),1); zeros(size(Tff,1),1); ones(size(Tinterflow,1),1);]; +N = [N; N_matrixLayer; N_fractureMatrixLayer; Nmff+2*nmc; Nff+2*nmc;Ninterflow;]; +T = [T; T_matrixLayer; T_fractureMatrixLayer; Tmff; Tff;Tinterflow;]; +T_convection = [T_convection;T_convection_matrixLayer; T_convection_fractureMatrixLayer; Tmff_convection; Tff_convection;Tinterflow_convection;]; +T_diff = [T_diff;T_diff_matrixLayer;T_diff_fractureMatrixLayer;Tmff_diff; Tff_diff;Tinterflow_diff;]; +perm = [perm; perm_matrixLayer; perm_fractureMatrixLayer; perm_mff; perm_ff;perm_interflow; ]; +flowArea = [flowArea; flowArea_matrixLayer; flowArea_fractureMatrixLayer; flowArea_mff; flowArea_ff;flowArea_interflow;]; +% +% deleted_rows = []; +% for i = 1:size(N,1) +% if ismember(N(i,1),invalid_grids) || ismember(N(i,2),invalid_grids) +% deleted_rows = [deleted_rows; i]; +% end +% end +% N(deleted_rows,:) = []; +% T(deleted_rows,:) = 0; +% T_convection(deleted_rows,:) = 0; +% T_diff(deleted_rows,:) = 0; +% perm(deleted_rows,:) = 0; +% flowArea(deleted_rows,:) = 0; +nex=size(N,1); +%% 转到CMG或者ECLIPSE进行计算 +% [ Data_for_ECLIPSE ] = pEDFM_to_CMG_horizontalFractureWell(dxv,dyv,dzv,kx,ky,kz,pori,Kf,Wf,vf,porf,N,T); +% [ Data_for_ECLIPSE ] = pEDFM_to_CMG_horizontalFractureWell_net_pay(dxv,dyv,dzv,kx,ky,kz,pori,Kf,Wf,vf,porf,N,T); +end + diff --git a/core functions/程序整合及组分流部分代码/fluidPVT.m b/core functions/程序整合及组分流部分代码/fluidPVT.m new file mode 100644 index 0000000..917e510 --- /dev/null +++ b/core functions/程序整合及组分流部分代码/fluidPVT.m @@ -0,0 +1,18 @@ +function f = fluidPVT(Ppr, BG, MUG, Bwi, prw, cw, vwi, cvw, SW, KRG, KRW, PCGL, SWF, KRGF, KRWF, PCGLF, density_g_sc, ifpcgl, rpt, cs_data, csa_data, cb_data, cba_data) +% f = fluidPVT(Bopb, pb, co, Bwi, prw, cw, vwi, cvw, visopb, cvo, SW, KRO, KRW, PCOW, ifpcow, SWF, KROF, KRWF, PCOWF, rpt,Dosi,Dwsi) +f.Bw = @(p) Bw(p, Bwi, prw, cw); +f.Bg = @(p) Bg(p, BG, Ppr); +f.muw = @(p) muw(p, vwi, prw, cvw); +f.mug = @(p) mug(p, MUG, Ppr); +f.krrg = @(sw) krrg(sw, SW, KRG, SWF, KRGF, rpt); +f.krw = @(sw) krw(sw, SW, KRW, SWF, KRWF, rpt); +f.pcgl = @(sw) pcgl(sw, SW, PCGL, SWF, PCGLF, rpt); +f.cs_absorb = @(cs) cs_absorb_f(cs, cs_data, csa_data); +f.cb_absorb = @(cb) cb_absorb_f(cb, cb_data, cba_data); +f.density_g_sc = density_g_sc; +f.ifpcgl = ifpcgl; +% f.Dosi=Dosi; +% f.Dwsi=Dwsi; + + + diff --git a/core functions/程序整合及组分流部分代码/fluidPVT_new.m b/core functions/程序整合及组分流部分代码/fluidPVT_new.m new file mode 100644 index 0000000..b9324bf --- /dev/null +++ b/core functions/程序整合及组分流部分代码/fluidPVT_new.m @@ -0,0 +1,22 @@ +function f = fluidPVT_new(Ppr, BG, MUG, Bwi, prw, cw, vwi, cvw, ifpc, rpt, cs_data, csa_data, cb_data, cba_data, cs_Nc, Nc_nosurf, Nc_surf, kr_nosurf, kr_surf, PC, cs_Nc_fracture, kr_nosurf_fracture, kr_surf_fracture, PC_fracture) +% Ppr, BG, MUG, Bwi, prw, cw, vwi, cvw, ifpcgl, r.rpt, cs_data, csa_data, cb_data, cba_data, cs_Nc, Nc_nosurf, Nc_surf, kr_nosurf, kr_surf, cs_Nc_fracture, kr_nosurf_fracture, kr_surf_fracture, PC_fracture +% f = fluidPVT(Bopb, pb, co, Bwi, prw, cw, vwi, cvw, visopb, cvo, SW, KRO, KRW, PCOW, ifpcow, SWF, KROF, KRWF, PCOWF, rpt,Dosi,Dwsi) +f.Bw = @(p) Bw(p, Bwi, prw, cw); +f.Bg = @(p) Bg(p, BG, Ppr); +f.muw = @(p) muw(p, vwi, prw, cvw); +f.mug = @(p) mug(p, MUG, Ppr); +% f.krrg = @(sw) krrg(sw, SW, KRG, SWF, KRGF, rpt); +% f.krw = @(sw) krw(sw, SW, KRW, SWF, KRWF, rpt); +% f.pcgl = @(sw) pcgl(sw, SW, PCGL, SWF, PCGLF, rpt); +f.cs_absorb = @(cs) cs_absorb_f(cs, cs_data, csa_data); +f.cb_absorb = @(cb) cb_absorb_f(cb, cb_data, cba_data); +f.Nc = @(cs) cs_to_Nc(cs, cs_Nc, cs_Nc_fracture, rpt); +f.krrg = @(sw, Nc) krg(sw, Nc, Nc_nosurf, Nc_surf, kr_nosurf, kr_surf, kr_nosurf_fracture, kr_surf_fracture, rpt); +f.krw = @(sw, Nc) krw(sw, Nc, Nc_nosurf, Nc_surf, kr_nosurf, kr_surf, kr_nosurf_fracture, kr_surf_fracture, rpt); +f.pcgl = @(sw) pc(sw, PC, PC_fracture, rpt); +f.ifpcgl = ifpc; +% f.Dosi=Dosi; +% f.Dwsi=Dwsi; +end + + diff --git a/core functions/程序整合及组分流部分代码/fractureInformation_input_engineering_vector.m b/core functions/程序整合及组分流部分代码/fractureInformation_input_engineering_vector.m new file mode 100644 index 0000000..5c1a40a --- /dev/null +++ b/core functions/程序整合及组分流部分代码/fractureInformation_input_engineering_vector.m @@ -0,0 +1,15 @@ +function frac_information = fractureInformation_input_engineering_vector(f,fellip,flowBarrierFlags) +ff = [f;fellip]; +nf = size(ff,1)/5; +frac_information = zeros(3*nf,2); +for i = 1:size(ff,1)/5 + startPoint = ff(5*i-4,1:2)+ff(5*i-3,1:2)*ff(5*i-1,1); + endPoint = ff(5*i-4,1:2)+ff(5*i-3,1:2)*ff(5*i-1,2); + frac_information(3*i-2,:) = startPoint; + frac_information(3*i-1,:) = endPoint; + if ismember(i,flowBarrierFlags) + frac_information(3*i-0,:) = [0*1e-3,1e-2]; + else + frac_information(3*i-0,:) = [10000*1e-3,1e-2]; + end +end \ No newline at end of file diff --git a/core functions/程序整合及组分流部分代码/grid_discretization_DP_model.asv b/core functions/程序整合及组分流部分代码/grid_discretization_DP_model.asv new file mode 100644 index 0000000..c68d5b4 --- /dev/null +++ b/core functions/程序整合及组分流部分代码/grid_discretization_DP_model.asv @@ -0,0 +1,49 @@ +function r = grid_discretization_DP_model(modelflag, nx, ny, nz, dx, dy, dz, f, frac_information, fellip, nf) +% 裂缝层网格渗渗透率 +kx = 50*1e-3 * ones(nx*ny*nz, 1); % 达西，D +ky = 50*1e-3 * ones(nx*ny*nz, 1);% +kz = 50*1e-3 * ones(nx*ny*nz, 1);% +pori = 0.001 * ones(nx*ny*nz, 1);% +prpor = 20; % 参考压力，MPa +cpor = 1.0e-5;% 基质压缩系数，MPa +NTG= 1 * ones(nx*ny*nz, 1); +% 基质层网格渗透率 +kx = 0.001*1e-3 * ones(nx*ny*nz, 1); % 达西，D +ky = 0.001*1e-3 * ones(nx*ny*nz, 1);% +kz = 0.001*1e-3 * ones(nx*ny*nz, 1);% +pori = 1 * ones(nx*ny*nz, 1);% +prpor = 20; % 参考压力，MPa +cpor = 1.0e-5;% 基质压缩系数，MPa +% 形状因子 +sigma = + +% SRV区域定义 +% % % base_x=23:78; nx_SRV=length(base_x); +% % % base_y=15:36; ny_SRV=length(base_y); +% % % base_z=1:1;nz_SRV=length(base_z); +% % % SRV=[]; +% % % for k=1:nz_SRV +% % % for j=1:ny_SRV +% % % for i=1:nx_SRV +% % % SRV=[SRV;(base_z(k)-1)*nx*ny+(base_y(j)-1)*nx+base_x(i)]; +% % % end +% % % end +% % % end +% % % % SRV渗透率赋值 +% % % kx(SRV)=0.001*1e-3 * ones(length(SRV), 1); +% % % ky(SRV)=0.001*1e-3 * ones(length(SRV), 1); +% % % kz(SRV)=0.001*1e-3 * ones(length(SRV), 1); +% 裂缝孔渗 +Kf = 50000*1e-3*ones(1,nf);% 裂缝渗透率 +Wf =1e-2*ones(1,nf);% 裂缝开度 +Porf = 0.30*ones(1,nf);% 裂缝孔隙度 +prporf = 20;% 裂缝系统参考压力 +cporf = 1.0e-5;% 裂缝系统压缩系数 +% +Rpt = 2;cf = 1;ca = 1; +%% 结合基质、裂缝的几何及物性信息开展前处理 +% r = GridProp_new(modelflag, nx, ny, nz, dx, dy, dz, kx, ky, kz, f, fellip, Kf, Wf, pori, prpor, cpor, Porf, prporf, cporf, cf, ca,co, NTG); +r = GridProp_DP(modelflag, nx, ny, nz, dx, dy, dz, kx, ky, kz, f, frac_information, fellip, Kf, Wf, pori, prpor, cpor, Porf, prporf, cporf, cf, ca,NTG); +density_rock = 2700; % 岩石密度，kg/m^3 +r.density_rock = density_rock; +end \ No newline at end of file diff --git a/core functions/程序整合及组分流部分代码/handle_well1.m b/core functions/程序整合及组分流部分代码/handle_well1.m new file mode 100644 index 0000000..c857537 --- /dev/null +++ b/core functions/程序整合及组分流部分代码/handle_well1.m @@ -0,0 +1,13 @@ +function well1 = handle_well1(well1,r) +% 需要找到射孔段具体所在的基质网格编号 +n1=size(well1,1); +for i=1:n1 + perf=well1{i,3}; + nperf=well1{i,2}; + perf(:,3)=(r.nz+1)*ones(nperf,1)-perf(:,3); + A=repmat([0 1 1],nperf,1); + B=(perf-A)*[1;r.nx;r.nx*r.ny]; + B=B'; %转换为行向量 + well1{i,3}=B; +end +end \ No newline at end of file diff --git a/core functions/程序整合及组分流部分代码/handle_well1_well2.m b/core functions/程序整合及组分流部分代码/handle_well1_well2.m new file mode 100644 index 0000000..e2fd8ca --- /dev/null +++ b/core functions/程序整合及组分流部分代码/handle_well1_well2.m @@ -0,0 +1,36 @@ +function Wellc = handle_well1_well2(well1,well2,welloc,r) +%-----------------把两类井整合到一起------------------- +nwell1=size(well1,1); +nwell2=size(well2,1); +nwell=nwell1+nwell2; +Wellc0=cell(nwell,9); +% if nwell1==0 +% Wellc0=well2; +% elseif nwell2==0 +% Wellc0=well1; +% else +if nwell1~=0 + for i=1:nwell1 + for j=1:6 + Wellc0{i,j}=well1{i,j}; + end + plot3([r.cell_mid_coords(well1{i,3}(1),1);r.cell_mid_coords(well1{i,3}(1),1)],... + [r.cell_mid_coords(well1{i,3}(1),2);r.cell_mid_coords(well1{i,3}(1),2)],... + [r.cell_mid_coords(well1{i,3}(1),3);max(r.cell_mid_coords(:,3))+20],'color','k','LineWidth',2.5); + hold on; + end +end +if nwell2~=0 + for i=1:nwell2 + for j=1:6 + Wellc0{i+nwell1,j}=well2{i,j}; + end + plot3(welloc{i,1}(:,1),welloc{i,1}(:,2),welloc{i,1}(:,3),'color','k','LineWidth',2.5); + hold on; + end +end +% end +hold off; +% 计算井指数 +Wellc = calcTrans(r, Wellc0); +end \ No newline at end of file diff --git a/core functions/程序整合及组分流部分代码/initalSchedule_2026.m b/core functions/程序整合及组分流部分代码/initalSchedule_2026.m new file mode 100644 index 0000000..521b82a --- /dev/null +++ b/core functions/程序整合及组分流部分代码/initalSchedule_2026.m @@ -0,0 +1,54 @@ +function [Weladd, pwf] = initalSchedule_2026(p, sw, cs, Wellc, f, well_schedules_k) +nWel = size(Wellc, 1);%井数 +Weladd = 0; +pwf = zeros(1); +BW = f.Bw(p); +muW = f.muw(p); +Nc = f.Nc(cs); +krW = f.krw(sw,Nc); +BG = f.Bg(p); +muG = f.mug(p); +krG = f.krrg(sw,Nc); +Ygt = krG ./ (muG .* BG);%mu代表黏度 +Ygj = krG ./ muG; +Ywt = krW ./ (muW .* BW);%mu代表黏度 +Ywj = krW ./ muW; + +for i = 1 : nWel + if strcmp(well_schedules_k{i,2},'open') + if strcmp(well_schedules_k{i,3},'pro') && strcmp(well_schedules_k{i,4},'const_q') %该井是生产井并定产生产 + Weladd = Weladd + 1; + nper = Wellc{i,2}; %该井的射孔数量 + jperf = zeros(nper,1); + Trans = zeros(nper,1); + Tnp = 0; + Tn = 0; + for j = 1 : nper + jperf(j) = Wellc{i,3}(j);%该射孔点在基质网格和裂缝单元全体中的序号 + Tr = Wellc{i,4}(j);%该射孔点对应的生产指数（缺流度） + Trans(j) = Tr * (Ygt(jperf(j)) + Ywt(jperf(j)));%生产指数 + Tnp = Tnp + Trans(j)*p(jperf(j)); + Tn = Tn + Trans(j); + end + pwf(Weladd) = (Tnp - well_schedules_k{i,5}/86.4) / Tn;%说明井筒无限导流，压力为一个值 + elseif strcmp(well_schedules_k{i,3},'inj') && strcmp(well_schedules_k{i,4},'const_q') %注入井，恒定注入量 + Weladd = Weladd + 1; + nper = Wellc{i,2}; + jperf = zeros(nper,1); + Trans = zeros(nper,1); + Tnp = 0; + Tn = 0; + for j = 1 : nper + jperf(j) = Wellc{i,3}(j); + Tr = Wellc{i,4}(j); + Trans(j) = Tr / BW(jperf(j)) * (Ygj(jperf(j)) + Ywj(jperf(j)));%多相流注入方程 + Tnp = Tnp + Trans(j)*p(jperf(j)); + Tn = Tn + Trans(j); + end + pwf(Weladd) = (Tnp + well_schedules_k{i,5}/86.4) / Tn;%与生产井正好反过来 + else + continue + end + end +end + pwf = pwf'; \ No newline at end of file diff --git a/core functions/程序整合及组分流部分代码/input_fracture_2D.m b/core functions/程序整合及组分流部分代码/input_fracture_2D.m new file mode 100644 index 0000000..d60344f --- /dev/null +++ b/core functions/程序整合及组分流部分代码/input_fracture_2D.m @@ -0,0 +1,26 @@ +function [f,frac_information] = input_fracture_2D(fractureLines,fractureHeights,flowBarrierFlags) +f = zeros((size(fractureLines,1)/2-length(flowBarrierFlags))*5,3); +numberHighFracture = 0; +for i = 1:size(fractureLines,1)/2 + if ~ismember(i,flowBarrierFlags) + numberHighFracture = numberHighFracture +1; + f(5*numberHighFracture-4,:) = [fractureLines(2*i-1,:),0]; + f(5*numberHighFracture-3,:) = [fractureLines(2*i,:)-fractureLines(2*i-1,:),0]; + f(5*numberHighFracture-2,:) = [0,0,fractureHeights(i)]; + f(5*numberHighFracture-1,:) = [0,1,0]; + f(5*numberHighFracture-0,:) = [0,1,0]; + end +end +frac_information = zeros(size(fractureLines,1)*3,2); +for i = 1:size(fractureLines,1)/2 + frac_information(3*i-2,:) = [fractureLines(2*i-1,:)]; + frac_information(3*i-1,:) = [fractureLines(2*i,:)]; + if ismember(i,flowBarrierFlags) + frac_information(3*i-2,:) = frac_information(3*i-2,:); + frac_information(3*i-1,:) = frac_information(3*i-1,:); + frac_information(3*i-0,:) = [0*1e-3,1e-2]; + else + frac_information(3*i-0,:) = [10000*1e-3,1e-2]; + end +end +end diff --git a/core functions/程序整合及组分流部分代码/mainRS_MB_2026.m b/core functions/程序整合及组分流部分代码/mainRS_MB_2026.m new file mode 100644 index 0000000..f75540f --- /dev/null +++ b/core functions/程序整合及组分流部分代码/mainRS_MB_2026.m @@ -0,0 +1,165 @@ +function [Times, OutputRs, Wellpara, trun] = mainRS_MB_2026(r, f, os, w, state0) +t_start = clock; +dtmin = w.dtmin; +dtmax = w.dtmax; +Nmax = w.Nmax; +epsave = w.epsave; +epsmax = w.epsmax; +yitap = w.yitap; +yitas = w.yitas; +omega = w.omega; +Wellc = w.Wellc; +time = w.time; +well_schedules = w.well_schedules; +% WelChg = w.WelChg; +% tend = w.tend; +count = 0; +t = 0; +state = state0; +number_state_variables = f.number_state_variables; +OutputRs = cell(2,1); +Wellpara = cell(2,1); +Times = zeros(2,1); +% h0 = waitbar(0,'Please wait...'); +for k = 1:size(well_schedules,1) + dt=dtmin(k); + [Weladd, pwf] = initalSchedule_2026(state0.p, state0.sw, state0.cs, Wellc, f, well_schedules{k,1}); + % [Weladd, pwf] = initalSchedule(state0.p, state0.sw, Wellc, f); + WelChg = zeros(size(well_schedules{k,1},1),1); % 后续有用，先不用 + repi = 0; + Newton_step = 0; + cons_Jacob = 0; + leqs_solve_time = 0; + Newtons_vs_time = [0, 0]; + tend = sum(time(1:k),1); + while t < tend + for i = 1 : Nmax + dtc = dt * 86.4; + tic; + [eqs, Awell, qwell, Pvv, Boa, Bwa] = ... + eqsOW_MB_2014(state, state0, dtc, r, f, os, Wellc, Weladd, pwf, WelChg, well_schedules{k,1}); + Jacob = Awell; + Ris = qwell; + for iii = 1:number_state_variables + for jjj = 1:number_state_variables + Jacob((iii-1)*r.nc+1 : iii*r.nc,(jjj-1)*r.nc+1 : jjj*r.nc) = Jacob((iii-1)*r.nc+1 : iii*r.nc,(jjj-1)*r.nc+1 : jjj*r.nc) + eqs{iii}.jac{jjj} ; + end + Ris((iii-1)*r.nc+1 : iii*r.nc,1) = Ris((iii-1)*r.nc+1 : iii*r.nc,1) +eqs{iii}.val; + end + % % % Jacob(1 : r.nc,1 : 2 * r.nc) = Jacob(1 : r.nc,1 : 2 * r.nc) + [eqs{1}.jac{1} eqs{1}.jac{2}]; + % % % Jacob(r.nc + 1 : 2 * r.nc,1 : 2 * r.nc) = Jacob(r.nc + 1 : 2 * r.nc,1 : 2 * r.nc) + [eqs{2}.jac{1} eqs{2}.jac{2}]; + % % % Ris(1 : r.nc) = Ris(1 : r.nc) + eqs{1}.val ; + % % % Ris(r.nc + 1: 2 * r.nc) = Ris(r.nc + 1: 2 * r.nc) + eqs{2}.val ; + % 将误差无因次化，用以判断是否收敛 + Dimensionless_Ris = Ris(1: 4 * r.nc)./ [Pvv;Pvv;Pvv;Pvv] .* [Bwa;Boa;Bwa;Bwa] .* dtc; + % Dimensionless_Ris = Ris(1: 4 * r.nc); + cons_Jacob_lo=toc; + cons_Jacob=cons_Jacob+cons_Jacob_lo; + % PVall = sum(Pvv); + % MBw = Bwa*dtc*abs(sum(Ris(1:r.nc))/PVall); + % MBo = Boa*dtc*abs(sum(Ris(r.nc+1:2*r.nc))/PVall); + % CNVw = max(Bwa*dtc*abs(Ris(1:r.nc)./Pvv)); + % CNVo = max(Boa*dtc*abs(Ris(r.nc+1:2*r.nc)./Pvv)); + % [L,U] = ilu(-Jacob); + % tol = 1e-6; + % maxit = 50; + % [X, ~] = bicgstab(-Jacob,Ris,tol,maxit,L,U); + tic; + % tol = 1e-12; + % maxit = 200; + % [X0,fl0,rr0,it0,rv0] = gmres(-Jacob,Ris,[],tol,maxit); + % [L,U] = ilu(-Jacob,struct('type','ilutp','droptol',1e-6)); + % [X1,fl1,rr1,it1,rv1] = gmres(-Jacob,Ris,[],tol,maxit,L,U); + X = -Jacob \ Ris; + leqs_time=toc; + leqs_solve_time=leqs_solve_time+leqs_time; + Newton_step=Newton_step+1; + dp = X(1 : r.nc); + dsw = X(r.nc + 1 : 2*r.nc); + dcs = X(2*r.nc + 1 : 3*r.nc); + dcb = X(3*r.nc + 1 : 4*r.nc); + state.p = state.p + dp; + state.sw = state.sw + dsw; + state.cs = state.cs + dcs; + state.cb = state.cb + dcb; + % deltp=state.p-state0.p; + % deltsw=state.sw-state0.sw; + if Weladd > 0 + dpwf = X(4 * r.nc + 1 : end); + pwf = pwf + dpwf; + state.pwf = pwf; + end + % if MBw <= epsave && MBo <= epsave && CNVw <= epsmax && CNVo <=epsmax && max(dsw)<=0.02 && max(dp)<=1 + % break + % end + % 为适应更一般的情况，将Ris无因次化 + + if mean(abs(Dimensionless_Ris)) <= epsave && max(abs(Dimensionless_Ris)) <=epsmax + break + end + + % [L,U] = ilu(-Jacob); + % tol = 1e-6; + % maxit = 50; + % [X, ~] = bicgstab(-Jacob,Ris,tol,maxit,L,U); + % raodai=condest(Jacob); + % if condest(Jacob)>50000 + % dt = dt / 2; + % else + end + + if i == Nmax + repi = repi + 1; + if repi == 5 + error('too many iter') + end + if repi == 1 + dt = dt / 2; + elseif repi == 2 + dt = dt / 3; + else + dt = dt / 10; + end + % dt = max(dt, w.dtmin); + state = state0; + else + repi = 0; + t = t + dt; + count = count + 1; + Times(count) = t; + OutputRs{count} = state; + Newtons_vs_time = [Newtons_vs_time; t, Newton_step]; + % qwell=qwell/dtc;%转换为单位时间的流量 + [Wellpara_t, WelChg, Weladd] = calcWellequation(Weladd, Wellc, WelChg, well_schedules{k,1}, r.nc, qwell, state); + Wellpara{count} = Wellpara_t; + state0 = state; + tm = ADtimestep(yitap, yitas, omega, dp, dsw); + % tm=1; + dt = dt * tm; + if t + dt > tend + dt = tend - t; + end + if dt >= dtmax(k) + dt = dtmax(k); + end + if i ~= Nmax + % waitbar(t / tend); + % disp(t); + fprintf('正在计算：%.4f天/共%.4f天\n', t, sum(time)); + + end + if t>300 + flag = 1; + end + end + end +end +trun.cons_Jacob=cons_Jacob; +trun.leqs_solve_time=leqs_solve_time; +trun.total_simulation_time = etime(clock,t_start); +trun.Newton_step=Newton_step; +trun.Newtons_vs_time=Newtons_vs_time; +fprintf('计算完成'); +% close(h0); + + diff --git a/core functions/程序整合及组分流部分代码/multi_component_flow.m b/core functions/程序整合及组分流部分代码/multi_component_flow.m new file mode 100644 index 0000000..2e62237 --- /dev/null +++ b/core functions/程序整合及组分流部分代码/multi_component_flow.m @@ -0,0 +1,242 @@ +function [f,state0] = multi_component_flow(r) +%% 流体性质参数 +%% 水相中的表活剂、盐的扩散系数 +Ds = 0.76*1e-9; % m2/s +Db = 2.2*1e-9; % m2/s +%% 表活剂、盐在岩石表面的吸附浓度与水相浓度的关系表，第一列单位是kg/m3, 第二列和第三列单位是g/kg +c_ca_table = [ +0 0 0 +0.05 1 0.075 +0.1 1.75 0.125 +0.2 3 0.2 +0.5 4.35 0.325 +1 4.55 0.365 +]; +cs_data = c_ca_table(:,1); +cb_data = c_ca_table(:,1); +csa_data = c_ca_table(:,2)*1e-3; % 转换为 kg/kg +cba_data = c_ca_table(:,3)*1e-3; % 转换为 kg/kg +%% 化学势（压裂液与地层水的盐度差异给水相带来的额外压差） +R = 0.008314; % kJ/(mol*K) +Vm = 18.02*1e-6; % 水的偏摩尔体积，m^3/mol +Temperature = 293.15; % 温度，K +% salinity_fracturing_fluid = 0.1/100; +% salinity_reservoir_water = 28/100; +xf = 1; +xm = 0.9; +chemistry_cof = R*Temperature/Vm*1e-3/10; +x_total = [xm*ones(r.nmc,1); xf*ones(r.nfc,1)]; +chemistry_potential = chemistry_cof*log(x_total); +%% 动态相渗（凸显出表活剂对相渗的影响） +% 原本应先得到表活剂浓度与表面张力的关系，再结合渗流速度计算出个表面张力对应的毛管数， +% 为了简便代码编写，此处忽略渗流速度的影响， +% 并增强代码通用性，此处改为输入表活剂浓度与毛管数的对应表格， +% 第一列为表活剂浓度，第二列为相应的毛管数,，第三列是相应的表面张力 +% dynamic_kr = 1; +cs_Nc = [ +0 1.6*1e-6 30 +0.1 9.5*1e-6 10 +0.2 2.5*1e-5 4 +0.5 5.8*1e-5 1.4 +1 8.2*1e-5 1 +2 8.8*1e-5 0.75 +]; +Nc_nosurf = min(cs_Nc(:,2)); +Nc_surf = max(cs_Nc(:,2)); + +kr_nosurf = [ +0 0 0.64 +0.25 0 0.64 +0.30 0.072 0.6 +0.40 0.14 0.56 +0.50 0.26 0.48 +0.60 0.4 0.38 +0.70 0.56 0.26 +0.85 0.88 0 +1 0.88 0 + ]; + +kr_surf = [ +0 0 0.6 +0.18 0 0.6 +0.25 0.056 0.56 +0.30 0.1 0.52 +0.40 0.19 0.42 +0.50 0.29 0.3 +0.60 0.37 0.19 +0.75 0.46 0 +1 0.46 0 + ]; + +PC = [ +0 3.8916 +0.2 3.8916 +0.316 0.5796 +0.435 0.3724 +0.562 0.2425 +0.614 0.0608 +0.702 0.0372 +0.812 0.0137 +0.875 0.0104 +0.906 0.009 +0.937 0.0075 +0.969 0.0059 +1 0 +]; +cs_Nc_fracture = cs_Nc; +kr_nosurf_fracture = kr_nosurf; +kr_surf_fracture = kr_surf; +PC_fracture = PC; +ifpcgl = 0; % 是否考虑毛管力 +%% 启动压力梯度 +p_grad_threshold = 0.01; % MPa/m +%% ================气相Langmuir等温吸附模型，当 VL=0，亦可用于油相=============== +% VE = VL*P/(PL+P) +gas_prop.VL = 0.0; % Langmuir volume, m^3/kg +gas_prop.PL = 3.5; % Langmuir pressure, MPa +% Psc = 1; +% Zsc = 1; +% density_rock = 2000; % +% ===================== Knudsen 扩散系数，当 Kn=0，亦可用于油相 ==================== +gas_prop.Kn = 0; % Knudsen数 +c1 =1; c2 =8/9; +gas_prop.Kn_modified_factor = 1+8*c1*gas_prop.Kn+16*c2*gas_prop.Kn^2; +% ===================== 应力敏感系数 ==================== +gas_prop.stress_factor_fracture = 0.000; % 1/MPa 0.001 +gas_prop.stress_factor_matrix = 0.000; % 1/MPa +gas_prop.stress_factor_ref_pressure = 20; % 一般取为原始地层压力 +% ===================== 高速非达西流 Forchheimer 方程 ==================== +gas_prop.beta_non_Darcy_flow = 0; % 1e-8 +% =======================气相体积系数、粘度=============================== +density_g_sc = 800; +% 第一种模式，直接输入参考压力、体积系数、压缩系数、粘度 +gas_model =1; +if gas_model == 1 +prg = 20; % reference pressure, MPa +Bgi = 1; % gas phase volume factor +cg = 5e-4 ;% gas phase compressibility, 1/MPa +vgi = 6; % gas viscosity, cp +cvg = 0; +[Ppr,BG,MUG] = cal_gas_prop(prg,Bgi,cg,vgi,cvg); +end +if gas_model == 2 +Ppr = [ 0.1013 + 2.0946 + 4.0878 + 6.0811 + 8.0743 + 10.0676 + 12.0608 + 14.0540 + 16.0473 + 18.0405 + 20.0338 + 22.0270 + 24.0203 + 26.0135 + 28.0068 + 30.0000 + ]; +% BG = 0.01*ones(size(Ppr,1),1); +BG = [ 1.18297 + 0.0557041 + 0.0278168 + 0.0182594 + 0.0134665 + 0.0106154 + 0.00874829 + 0.00744907 + 0.00650639 + 0.0058006 + 0.0052587 + 0.0048336 + 0.00449378 + 0.00421751 + 0.0039895 + 0.00379871 + ]; +% MUG = 0.01*ones(size(Ppr,1),1); +MUG = [0.0127683 + 0.0130191 + 0.0133973 + 0.013872 + 0.014437 + 0.015088 + 0.0158182 + 0.0166173 + 0.0174719 + 0.0183671 + 0.0192882 + 0.0202219 + 0.0211575 + 0.0220865 + 0.0230024 + 0.0239008 + ]; +end +% ========================水相体积系数、粘度=============================== +density_w_sc = 1000; +prw = 20; % reference pressure +Bwi = 1.000; % water phase volume factor +cw = 4.0e-4 ;% water phase compressibility +vwi = 1; % viscosity +cvw = 0; +% =============================基质相渗=============================== +% ifpcgl = 0; % 是否考虑毛管力 +% RPGW=[ +% 0.0000 0.0000 1.0000 3.8916 +% 0.2000 0.0000 1.0000 3.8916 +% 0.3160 0.0002 0.6784 0.5796 +% 0.4350 0.0004 0.6215 0.3724 +% 0.5620 0.0010 0.5456 0.2425 +% 0.6140 0.0020 0.3939 0.0608 +% 0.7020 0.0280 0.1399 0.0372 +% 0.8120 0.1721 0.0515 0.0137 +% 0.8750 0.3395 0.0297 0.0104 +% 0.9060 0.4395 0.0226 0.0090 +% 0.9370 0.5500 0.0173 0.0075 +% 0.9690 0.6702 0.0131 0.0059 +% 1.0 1.0000 0.0000 0.0000 +% ]; +% SW=RPGW(:,1);KRW=RPGW(:,2);KRG=RPGW(:,3);PCGL=RPGW(:,4); +% +% % =============================裂缝相渗=============================== +% PRF=[ +% 0.0000 0.0000 1.0000 3.8916 +% 0.2000 0.0000 1.0000 3.8916 +% 0.3160 0.0002 0.6784 0.5796 +% 0.4350 0.0004 0.6215 0.3724 +% 0.5620 0.0010 0.5456 0.2425 +% 0.6140 0.0020 0.3939 0.0608 +% 0.7020 0.0280 0.1399 0.0372 +% 0.8120 0.1721 0.0515 0.0137 +% 0.8750 0.3395 0.0297 0.0104 +% 0.9060 0.4395 0.0226 0.0090 +% 0.9370 0.5500 0.0173 0.0075 +% 1.0 1.0000 0.0000 0.0000 +% ]; +% SWF = PRF(:,1);KRWF = PRF(:,2);KRGF = PRF(:,3);PCGLF=PRF(:,4); + +%% 结合流体性质参数生成相应的数据体 +% f = fluidPVT(Ppr, BG, MUG, Bwi, prw, cw, vwi, cvw, SW, KRG, KRW, PCGL, SWF, KRGF, KRWF, PCGLF, density_g_sc, ifpcgl, r.rpt, cs_data, csa_data, cb_data, cba_data, cs_Nc, kr_nosurf, kr_surf); +f = fluidPVT_new(Ppr, BG, MUG, Bwi, prw, cw, vwi, cvw, ifpcgl, r.rpt, cs_data, csa_data, cb_data, cba_data, cs_Nc, Nc_nosurf, Nc_surf, kr_nosurf, kr_surf, PC, cs_Nc_fracture, kr_nosurf_fracture, kr_surf_fracture, PC_fracture); +f.Dwsi = density_w_sc; +f.Dgsi = density_g_sc; +f.gas_prop = gas_prop; +f.Ds = Ds; +f.Db = Db; +f.x_total = x_total; +f.chemistry_potential = chemistry_potential; +f.p_grad_threshold = p_grad_threshold; +%% 初值条件 Initial Condition Section +% =================压力、饱和度初值======================================= % +%压力初值要考虑重力，给出油藏下表面压力值 +P = [20 * ones(r.nmc, 1); 20 * ones(r.nfc, 1)]; +% plow=25; % P =plow-1e-6*800*9.8*r.z; +Sw = [0.2 * ones(r.nmc, 1); 0.2 * ones(r.nfc, 1)]; +Cs = [0.0 * ones(r.nmc, 1); 0.0 * ones(r.nfc, 1)]; +Cb = [0.0 * ones(r.nmc, 1); 0.0 * ones(r.nfc, 1)]; +number_state_variables = 4; +f.number_state_variables = number_state_variables; +state0 = initialRS(P, Sw, Cs, Cb); +end \ No newline at end of file diff --git a/core functions/程序整合及组分流部分代码/smooth_relu_stable.m b/core functions/程序整合及组分流部分代码/smooth_relu_stable.m new file mode 100644 index 0000000..0e7bc4b --- /dev/null +++ b/core functions/程序整合及组分流部分代码/smooth_relu_stable.m @@ -0,0 +1,18 @@ +function ratio = smooth_relu_stable(dp,p_grad_threshold) + % 安全平滑ReLU，永不溢出，100%兼容自动微分 + eps = 1e-8; + s = 200; + dP_abs = (dp.^2 + eps).^(1/2); + x = dP_abs - p_grad_threshold; + y = zeros(length(x),1); + idx1 = x <= 0; + y(idx1) = 0; + % y(idx1) = log(1 + exp(s * x(idx1))) / s; + + idx2 = x > 0; + y(idx2) = x(idx2); + % y(idx2) = x(idx2) + log(1 + exp(-s * x(idx2))) / s; + + activate = y; + ratio = activate ./ (dP_abs); +end \ No newline at end of file diff --git a/core functions/程序整合及组分流部分代码/solver_NR.m b/core functions/程序整合及组分流部分代码/solver_NR.m new file mode 100644 index 0000000..d06438b --- /dev/null +++ b/core functions/程序整合及组分流部分代码/solver_NR.m @@ -0,0 +1,28 @@ +function [Times, OutputRs, Wellpara, trun] = solver_NR(r, flow_model, f, os, state0, yitap,yitas,omega,Nmax,epsave,epsmax,dtmin,dtmax,Wellc,time,well_schedules) +w.yitap = yitap; +w.yitas = yitas; +w.omega = omega; +w.Nmax = Nmax; +w.epsave = epsave; +w.epsmax = epsmax; +w.dtmin = dtmin; +w.dtmax = dtmax; +% w.tend = tend; +% w.WelChg = WelChg; +w.Wellc = Wellc; +w.time = time; +w.well_schedules = well_schedules; +%% 计算 +if r.modelflag==1 || r.modelflag==4 || r.modelflag==5 + if flow_model == 1 + [Times, OutputRs, Wellpara, trun] = mainRS_MB_gas_water_flow(r, f, os, w, state0); + end + if flow_model == 2 + [Times, OutputRs, Wellpara, trun] = mainRS_MB_oil_water_flow(r, f, os, w, state0); + end + if flow_model == 3 + [Times, OutputRs, Wellpara, trun] = mainRS_MB_2026(r, f, os, w, state0); + end + % [Times, OutputRs, Wellpara, trun] = mainRS_MB_2014(r, f, os, w, state0); +end +end \ No newline at end of file diff --git a/generic extended/GenerateNode_final_new.m b/generic extended/GenerateNode_final_new.m new file mode 100644 index 0000000..1b4d881 --- /dev/null +++ b/generic extended/GenerateNode_final_new.m @@ -0,0 +1,90 @@ +function [coordinates, nodes, nP, nE, dxv, dyv,dzv,zm,vm,xrao,yrao,zrao] = GenerateNode_final_new(dx, dy,dz ,nx,ny,nz,NTG) +% coordinates xy cordinateÿڵx,y +% nodes connectionÿӦİ˸ڵ +% nP numbers of pointڵ +% nE numbers of element +nP = (nx + 1) * (ny + 1)*(nz+1);%ڵ +nE = nx * ny*nz;% +% dx=dx*ones(nx,1);%˴ΪʱЭ +% dy=dy*ones(nx,1); +% dz=dz*ones(nx,1); +dxv = zeros(nE, 1);%ÿxϳߴ +dyv = zeros(nE, 1);%ÿyϳߴ +dzv = zeros(nE, 1); +zm=zeros(nE, 1);%ȣƽΪ׼õĸ߶ȣֵΪ +%ÿxy򸳳ߴ +vm=zeros(nE, 1);% +for k=1:nz + for i = 1 : nx + for j = 1 : ny + dxv(i+(j-1)*nx+nx*ny*(k-1)) = dx(i); + dyv(i+(j-1)*nx+nx*ny*(k-1)) = dy(j); + dzv(i+(j-1)*nx+nx*ny*(k-1))=dz(k); + vm(i+(j-1)*nx+nx*ny*(k-1))=dx(i)*dy(j)*dz(k)*NTG(i+(j-1)*nx+nx*ny*(k-1)); + + end + end +end +coordinates = zeros(nP, 3);%ʼÿڵx,y +nodes = zeros(nE, 8);%ʼÿӦİ˸ڵľ +%ÿڵ +x0 = zeros(nx+1,1); +y0 = zeros(ny+1,1); +z0=zeros(nz+1,1); +sumx = 0; +sumy = 0; +sumz=0; +for i = 1 : nx + sumx = sumx+dx(i); + x0(i+1) = sumx; +end +for i = 1 : ny + sumy = sumy+dy(i); + y0(i+1) = sumy; +end +for i = 1 : nz + sumz = sumz+dz(i); + z0(i+1) = sumz; +end +for k=1:nz+1 +for j = 1 : ny + 1 + for i = 1 : nx + 1 + coordinates(i + (j - 1) * (nx + 1)+(nx+1)*(ny+1)*(k-1), 1) = x0(i);%(i,jڵx긳ֵ + coordinates(i + (j - 1) * (nx + 1)+(nx+1)*(ny+1)*(k-1), 2) = y0(j);%(i,jڵy긳ֵ + coordinates(i + (j - 1) * (nx + 1)+(nx+1)*(ny+1)*(k-1), 3) = z0(k); + end +end +end +%ÿİ˸(ڵ㣩ӦĽڵ +for k=1:nz +for j = 1 : ny + for i = 1 : nx + nodes(i + (j - 1) * nx+nx*ny*(k-1), 1) = i + (j - 1) * (nx + 1)+(k-1)*(nx+1)*(ny+1); + nodes(i + (j - 1) * nx+nx*ny*(k-1), 2) = nodes(i + (j - 1) * nx+nx*ny*(k-1), 1) + 1; + nodes(i + (j - 1) * nx+nx*ny*(k-1), 3) = nodes(i + (j - 1) * nx+nx*ny*(k-1), 1) + nx + 1; + nodes(i + (j - 1) * nx+nx*ny*(k-1), 4) = nodes(i + (j - 1) * nx+nx*ny*(k-1), 1) + nx + 2; + nodes(i + (j - 1) * nx+nx*ny*(k-1), 5) = nodes(i + (j - 1) * nx+nx*ny*(k-1), 1)+(nx+1)*(ny+1); + nodes(i + (j - 1) * nx+nx*ny*(k-1), 6) = nodes(i + (j - 1) * nx+nx*ny*(k-1), 5) + 1; + nodes(i + (j - 1) * nx+nx*ny*(k-1), 7) = nodes(i + (j - 1) * nx+nx*ny*(k-1), 5) + nx + 1; + nodes(i + (j - 1) * nx+nx*ny*(k-1), 8) = nodes(i + (j - 1) * nx+nx*ny*(k-1), 5) + nx + 2; + zm(i+(j-1)*nx+nx*ny*(k-1))=sum(coordinates(nodes(i + (j - 1) * nx+nx*ny*(k-1), :),3))/8; + end +end +end + +xrao=[0]; +for i=1:nx + xxiang=sum(dx(1,1:i)); + xrao=[xrao xxiang]; +end +yrao=[0]; +for i=1:ny + yxiang=sum(dy(1,1:i)); + yrao=[yrao yxiang]; +end +zrao=[0]; +for i=1:nz + zxiang=sum(dz(1,1:i)); + zrao=[zrao zxiang]; +end +end \ No newline at end of file diff --git a/generic extended/GridProp_new.asv b/generic extended/GridProp_new.asv new file mode 100644 index 0000000..c781341 --- /dev/null +++ b/generic extended/GridProp_new.asv @@ -0,0 +1,510 @@ +function r = GridProp_new(modelflag,nx, ny, nz, dx, dy, dz, kx, ky, kz, f, frac_information, fellip, Kf, Wf, pori, prpor, cpor, Porf, prporf, cporf, cf, ca,co,NTG) +tic; +%% 基质网格参数及网格参数计算、存储 +r.modelflag=modelflag; +r.nx = nx; +r.ny = ny; +r.nz = nz; +r.dx = dx; +r.dy = dy; +r.dz = dz; +r.kx = kx; +r.ky = ky; +r.kz = kz; +r.Kf = Kf;%裂缝面对应的渗透率，非裂缝单元 +r.Wf = Wf;%裂缝面对应的缝宽，非裂缝单元 +r.cf = cf; +r.ca = ca; +r.co=co; +r.cpor=cpor; +r.cporf=cporf; +r.NTG=NTG; +r.frac_information = frac_information; + +[coordinates, nodes, nP, nE, dxv, dyv,dzv,zm,vm,xrao,yrao,zrao,cell_mid_xy_coordinates] = GenerateNode_final(dx, dy,dz ,nx,ny,nz,NTG); +r.coordinates = coordinates; +r.nodes = nodes; +nmc=nE; +r.nmc =nmc; +r.dxv = dxv; +r.dyv = dyv; +r.dzv = dzv; +r.vm=vm; +r.cell_mid_coordinates=cell_mid_xy_coordinates; +%% 求解裂缝与基质网格连接情况 +%% 关键参数矩阵初始化 +m=size(f,1); +n=size(fellip,1); +nfr=m/5;%矩形规则裂缝条数 +nfir=n/5;%不规则裂缝条数（当然包含椭圆） +r.nfr=nfr; r.nfir=nfir; +nf=nfr+nfir; +r.nf=nf; +if (nfir~=0) && (nfr~=0) + f=[f;fellip]; +else if nfr~=0 + f=f; + else if nfir~=0 + f=fellip; + else error('Dr Rao reminds you that there is no information about fractures'); + end + end +end + +%d3intersection=-1000*ones(1000,3);%用-1000做标识 +raopoint=cell(nfr+nfir,2);%利用元胞数组存储每条裂缝与基质网格线的交点， +%第一列是三维坐标形式，即d3intersection +%第二列是裂缝面参数形式，即anothersection +pointvsregion=cell(nfr+nfir,3);%利用元胞数组存储interarea函数的结果numofmesh, numvspoint,numofregion +fracrossfra=cell(nfr+nfir,nfr+nfir-1);%判断裂缝之间两交点坐标 +fratmaxfra=zeros(nfr+nfir,nfr+nfir-1);%判断裂缝之间交线参数的最大值 +fratminfra=zeros(nfr+nfir,nfr+nfir-1);%判断裂缝之间交线参数的最小值 +fracturemesh=cell(nf,1);%每一行是一条裂缝面上的网格剖分情况 + +%% 计算裂缝与基质网格相交情况 +for i=1:nfr + raopoint{i,1}= intersectionsolve_new_modified_r(f((5*i-4):(5*i),:),dx,dy,dz,nx,ny,nz,xrao,yrao,zrao ); + raopoint{i,2}= anosection( f((5*i-4):(5*i),:),raopoint{i,1} ); + [ pointvsregion{i,1},pointvsregion{i,2} ,pointvsregion{i,3}] = interarea( raopoint{i,1},dx,dy,dz,nx,ny,nz,xrao,yrao,zrao ); +end +% 不规则缝计算 +if nfir>0 + for i=1:nfir + raopoint{nfr+i,1}= intersectionsolve_new_modified_irr(fellip((5*i-4):(5*i),:),dx,dy,dz,nx,ny,nz,xrao,yrao,zrao ); + raopoint{nfr+i,2}= anosection( f((5*(nfr+i)-4):(5*(nfr+i)),:),raopoint{nfr+i,1} ); + [ pointvsregion{nfr+i,1},pointvsregion{nfr+i,2} ,pointvsregion{nfr+i,3}] = interarea( raopoint{nfr+i,1},dx,dy,dz,nx,ny,nz,xrao,yrao,zrao ); + end +end + +%% 计算裂缝之间相交线情况 +for i=1:nf + for j=1:nf + if i>nfr || j>nfr cross=zeros(2,3);tmax=0;tmin=0; + else +% [ cross,tmax,tmin ]=frac_cross_frac( f((5*i-4):(5*i),:),f((5*j-4):(5*j),:) ); + cross=zeros(2,3);tmax=0;tmin=0; + end + fracrossfra{i,j}=cross;fratmaxfra(i,j)=tmax;fratminfra(i,j)=tmin; + end +end +%% 计算裂缝被基质网格、其它裂缝与之相交后的网格分布情况,绘制二维裂缝平面参数坐标系上的网格分布情况 +% figure('color','w'); +addflag=zeros(nf,1);%乘2的幂次，防止因为裂缝条数较多，造成矩阵太大 +for i=1:nf + d3intersection=raopoint{i,1};anothersection=raopoint{i,2}; + [ mesh ] = frac_mat_mesh( d3intersection,anothersection,pointvsregion{i,2},pointvsregion{i,1} ); +% for j=1:nf +% [ mesh,d3intersection,anothersection,add_flag ]= frac_frac_mesh_modified(xrao,yrao,zrao,mesh,f(5*i-4,:),f(5*i-3,:),f(5*i-2,:),fracrossfra{i,j},fratmaxfra(i,j),fratminfra(i,j),d3intersection,anothersection,pointvsregion{i,2},pointvsregion{i,1} ); +% addflag(j,1)=addflag(j,1)+add_flag; +% end + raopoint{i,1} = d3intersection; raopoint{i,2} = anothersection;%由原来裂缝与网格的交点不断更新加入其它裂缝与该裂缝的交点 + fracturemesh{i,1}=mesh;subplot(nf,1,i);color_fill={'y','r','b','g'}; + plotmesh2D(mesh,raopoint{i,2},color_fill{1,mod(i,4)+1}); +end + +%% 绘制三维背景网格（基质网格）及裂缝网格分布 +%figure(2) +%network3D(dx,dy,dz,nx,ny,nz ); +%hold on; +figure('color','w'); +% plot_reservoir_3D(max(xrao),max(yrao),dz(1),1,1,nz); +% plot_reservoir_3D(dx(1),dy(1),dz(1),nx,ny,nz); +network3D(dx(1),dy(1),dz(1),nx,ny,nz); +hold on; + +% network3D_arbitrary(dx,dy,dz,nx,ny,nz); +hold on; +% refine; +% hold on; +for i=1:nf + % color_fill={'y','r','b','g','c','m'}; + % color_fill={'y','r','b','g'}; + % plotmesh3D( fracturemesh{i,1},raopoint{i,1},color_fill{1,mod(i,4)+1});hold on; + if i <= 30 + color_fill='b'; %流动屏障 +% elseif i <=19 +% color_fill='b'; %压裂缝 +if i == 2 || i == 9 + + rnf +elseif + color_fill='r'; %天然裂缝 + end +% plotmesh3D( fracturemesh{i,1},raopoint{i,1},color_fill{1,mod(i,4)+1});hold on; + plotmesh3D( fracturemesh{i,1},raopoint{i,1},color_fill);hold on; +end +% % % basic_node_coord = [0,0,0]; +% % % x_length = 700; +% % % y_length = 800; +% % % z_length = 10; +% % % nodes_domain = [basic_node_coord;] +% % % fill3(x,y,z,'w'); +refine1; +% refine_chengjiepaper; +% refine; +% plot_reservoir_3D(max(xrao),max(yrao),dz(1),1,1,nz); +% plot_reservoir_3D(dx(1),dy(1),dz(1),nx,ny,nz); +xlabel('x, m','FontSize',12); +ylabel('y, m','FontSize',12); +zlabel('z, m','FontSize',12); +% +zticks([0, 5]); +% yticks(-1:0.5:1); +% 设置x轴和y轴的刻度标签 +zticklabels({'-2005', '-2000'}); +% yticklabels({'-1', '-0.5', '0', '0.5', '1'}); +% 关闭刻度标签的旋转 +% xticklabels('Rotation', 0); +% yticklabels('Rotation', 0); + +axis equal; +% refine; +% hold on +% network3D(dx(1),dy(1),dz(1),nx,ny,nz); +% network3D(max(xrao),max(yrao),max(zrao),1,1,1 ); +% network3D(10,10,10,2,1,1 ); +% network3D(10,10,10,6,1,2 ); +alpha(1) +view(2) +% axis([min(xrao),max(xrao),min(yrao),max(yrao),min(zrao),max(zrao)]); +% axis equal +% % hold off; +%% 确定裂缝编号及连接情况，计算传导系数 +if modelflag==1 %表示用2014, Monifar + [ matrixvsfra,connectmf,fracnumber,fracstart,corevsfra,connect_infrac, N,T,zf,fcinff,vf,porf,fcff,T_convection,mat_frac,cell_divided_by_fracture_flag ] = connections_2014( fracturemesh,pointvsregion,raopoint,f,nf,nx,ny,nz,kx,ky,kz,pori,Kf,Wf,Porf,dxv,dyv,dzv,coordinates,nodes,NTG,addflag ); + nfc=size(fracnumber,1); + nex=size(T,1); + r.nfc=nfc; + nc=nfc+nmc; + r.nc=nc;%基质网格和裂缝单元总数 + r.nex=nex;%具有流体交换的总数 + kf=Kf(fcinff); + wf=Wf(fcinff); + r.kf=kf;%裂缝单元对应的渗透率 + r.wf=wf;%裂缝单元对应的缝宽 + r.N=N; + r.T=T; + r.T_convection=T_convection; + r.vf=vf; + r.V=[vm;vf]; + r.porf=porf; + r.fcff=fcff; + r.mat_frac=mat_frac; + r.cell_divided_by_fracture_flag = cell_divided_by_fracture_flag; +elseif modelflag==4 %表示用 PEDFM + [ matrixvsfra,connectmf,fracnumber,fracstart,corevsfra,connect_infrac, N,T,zf,fcinff,vf,porf,fcff ] = connections_PEDFM_new( fracturemesh,pointvsregion,raopoint,f,nf,nx,ny,nz,kx,ky,kz,Kf,Wf,Porf,dxv,dyv,dzv,coordinates,nodes,NTG,addflag,frac_information, coordinates); + nfc=size(fracnumber,1); + nex=size(T,1); + r.nfc=nfc; + nc=nfc+nmc; + r.nc=nc;%基质网格和裂缝单元总数 + r.nex=nex;%具有流体交换的总数 + kf=Kf(fcinff); + wf=Wf(fcinff); + r.kf=kf;%裂缝单元对应的渗透率 + r.wf=wf;%裂缝单元对应的缝宽 + r.N=N; + r.T=T; + r.vf=vf; + r.V=[vm;vf]; + r.porf=porf; + r.fcff=fcff; +elseif modelflag==5 % 表示实用型PEDFM + [ matrixvsfra,connectmf,fracnumber,fracstart,corevsfra,connect_infrac, N,T,zf,fcinff,vf,porf,fcff ] = connections_PEDFM_new_new( fracturemesh,pointvsregion,raopoint,f,nf,nx,ny,nz,kx,ky,kz,pori,Kf,Wf,Porf,dxv,dyv,dzv,coordinates,nodes,NTG,addflag,frac_information, coordinates); + nfc=size(fracnumber,1); + nex=size(T,1); + r.nfc=nfc; + nc=nfc+nmc; + r.nc=nc;%基质网格和裂缝单元总数 + r.nex=nex;%具有流体交换的总数 + kf=Kf(fcinff); + wf=Wf(fcinff); + r.kf=kf;%裂缝单元对应的渗透率 + r.wf=wf;%裂缝单元对应的缝宽 + r.N=N; + r.T=T; + r.vf=vf; + r.V=[vm;vf]; + r.porf=porf; + r.fcff=fcff; +elseif modelflag==6 % 表示基于非结构网格pEDFM的validation model + [ matrixvsfra,connectmf,fracnumber,fracstart,corevsfra,connect_infrac, N,T,zf,fcinff,vf,porf,fcff,T_convection,mat_frac,number_of_adding,cell_divided_by_fracture_flag] = connections_unstructured_EDFM( fracturemesh,pointvsregion,raopoint,f,nf,nx,ny,nz,kx,ky,kz,Kf,Wf,Porf,dxv,dyv,dzv,coordinates,nodes,NTG,addflag ); + nfc=size(fracnumber,1); + nex=size(T,1); + r.nfc=nfc; + r.number_of_adding=number_of_adding; + nmc = nmc+number_of_adding; + r.nmc = nmc; + nc=nfc+nmc; + r.nc=nc;%基质网格和裂缝单元总数 + r.nex=nex;%具有流体交换的总数 + kf=Kf(fcinff); + wf=Wf(fcinff); + r.kf=kf;%裂缝单元对应的渗透率 + r.wf=wf;%裂缝单元对应的缝宽 + r.N=N; + r.T=T; + r.T_convection=T_convection; + r.vf=vf; + % 劈分或增加 + vm_the_added_cell = vm(cell_divided_by_fracture_flag)*1/2; + vm(cell_divided_by_fracture_flag) = vm(cell_divided_by_fracture_flag)*1/2; + vm = [vm; vm_the_added_cell]; + r.V=[vm;vf]; + pori = [pori; pori(cell_divided_by_fracture_flag)]; + r.cell_divided_by_fracture_flag = cell_divided_by_fracture_flag; + r.porf=porf; + r.fcff=fcff; + r.mat_frac=mat_frac; +elseif modelflag==7 + [ matrixvsfra,connectmf,fracnumber,fracstart,corevsfra,connect_infrac, N,T,zf,fcinff,vf,porf,fcff ] = connections_PEDFM_EX1_solutions( fracturemesh,pointvsregion,raopoint,f,nf,nx,ny,nz,kx,ky,kz,Kf,Wf,Porf,dxv,dyv,dzv,coordinates,nodes,NTG,addflag,frac_information, coordinates); + nfc=size(fracnumber,1); + nex=size(T,1); + r.nfc=nfc; + nc=nfc+nmc; + r.nc=nc;%基质网格和裂缝单元总数 + r.nex=nex;%具有流体交换的总数 + kf=Kf(fcinff); + wf=Wf(fcinff); + r.kf=kf;%裂缝单元对应的渗透率 + r.wf=wf;%裂缝单元对应的缝宽 + r.N=N; + r.T=T; + r.vf=vf; + r.V=[vm;vf]; + r.porf=porf; + r.fcff=fcff; +elseif modelflag==8 % 表示基于非结构网格pEDFM的validation model + [ matrixvsfra,connectmf,fracnumber,fracstart,corevsfra,connect_infrac, N,T,zf,fcinff,vf,porf,fcff,T_convection,mat_frac,number_of_adding,cell_divided_by_fracture_flag,volume_ratio,fractureCell_matrixCell_addedMatrixCell] = connections_unstructured_EDFM_EX1_solutions( fracturemesh,pointvsregion,raopoint,f,nf,nx,ny,nz,kx,ky,kz,Kf,Wf,Porf,dxv,dyv,dzv,coordinates,nodes,NTG,addflag ); + nfc=size(fracnumber,1); + nex=size(T,1); + r.nfc=nfc; + r.number_of_adding=number_of_adding; + nmc = nmc+number_of_adding; + r.nmc = nmc; + nc=nfc+nmc; + r.nc=nc;%基质网格和裂缝单元总数 + r.nex=nex;%具有流体交换的总数 + kf=Kf(fcinff); + wf=Wf(fcinff); + r.kf=kf;%裂缝单元对应的渗透率 + r.wf=wf;%裂缝单元对应的缝宽 + r.N=N; + r.T=T; + r.T_convection=T_convection; + r.vf=vf; + r.fractureCell_matrixCell_addedMatrixCell = fractureCell_matrixCell_addedMatrixCell; + r.volume_ratio=volume_ratio; + % 劈分或增加 + vm_the_added_cell = vm(cell_divided_by_fracture_flag).*volume_ratio; + vm(cell_divided_by_fracture_flag) = vm(cell_divided_by_fracture_flag).*(1-volume_ratio); + vm = [vm; vm_the_added_cell]; + r.V=[vm;vf]; + pori = [pori; pori(cell_divided_by_fracture_flag)]; + r.cell_divided_by_fracture_flag = cell_divided_by_fracture_flag; + r.porf=porf; + r.fcff=fcff; + r.mat_frac=mat_frac; +elseif modelflag==9 % EX2 不同情况下 pEDFM 解 + [ matrixvsfra,connectmf,fracnumber,fracstart,corevsfra,connect_infrac, N,T,zf,fcinff,vf,porf,fcff ] = connections_PEDFM_EX2_solutions( fracturemesh,pointvsregion,raopoint,f,nf,nx,ny,nz,kx,ky,kz,Kf,Wf,Porf,dxv,dyv,dzv,coordinates,nodes,NTG,addflag,frac_information, coordinates); + nfc=size(fracnumber,1); + nex=size(T,1); + r.nfc=nfc; + nc=nfc+nmc; + r.nc=nc;%基质网格和裂缝单元总数 + r.nex=nex;%具有流体交换的总数 + kf=Kf(fcinff); + wf=Wf(fcinff); + r.kf=kf;%裂缝单元对应的渗透率 + r.wf=wf;%裂缝单元对应的缝宽 + r.N=N; + r.T=T; + r.vf=vf; + r.V=[vm;vf]; + r.porf=porf; + r.fcff=fcff; +elseif modelflag==10 % 表示基于非结构网格pEDFM的 EX2 参考解 + [ matrixvsfra,connectmf,fracnumber,fracstart,corevsfra,connect_infrac, N,T,zf,fcinff,vf,porf,fcff,T_convection,mat_frac,number_of_adding,cell_divided_by_fracture_flag,volume_ratio,fractureCell_matrixCell_addedMatrixCell] = connections_unstructured_EDFM_EX2_1to3_solutions( fracturemesh,pointvsregion,raopoint,f,nf,nx,ny,nz,kx,ky,kz,Kf,Wf,Porf,dxv,dyv,dzv,coordinates,nodes,NTG,addflag ); + nfc=size(fracnumber,1); + nex=size(T,1); + r.nfc=nfc; + r.number_of_adding=number_of_adding; + nmc = nmc+number_of_adding; + r.nmc = nmc; + nc=nfc+nmc; + r.nc=nc;%基质网格和裂缝单元总数 + r.nex=nex;%具有流体交换的总数 + kf=Kf(fcinff); + wf=Wf(fcinff); + r.kf=kf;%裂缝单元对应的渗透率 + r.wf=wf;%裂缝单元对应的缝宽 + r.N=N; + r.T=T; + r.T_convection=T_convection; + r.vf=vf; + r.fractureCell_matrixCell_addedMatrixCell = fractureCell_matrixCell_addedMatrixCell; + r.volume_ratio=volume_ratio; + % 劈分或增加 + vm_the_added_cell = vm(cell_divided_by_fracture_flag).*volume_ratio; + vm(cell_divided_by_fracture_flag) = vm(cell_divided_by_fracture_flag).*(1-volume_ratio); + vm = [vm; vm_the_added_cell]; + r.V=[vm;vf]; + pori = [pori; pori(cell_divided_by_fracture_flag)]; + r.cell_divided_by_fracture_flag = cell_divided_by_fracture_flag; + r.porf=porf; + r.fcff=fcff; + r.mat_frac=mat_frac; +elseif modelflag==11 % 表示基于非结构网格pEDFM的 EX2 参考解 + [ matrixvsfra,connectmf,fracnumber,fracstart,corevsfra,connect_infrac, N,T,zf,fcinff,vf,porf,fcff,T_convection,mat_frac,number_of_adding,cell_divided_by_fracture_flag,volume_ratio,fractureCell_matrixCell_addedMatrixCell] = connections_unstructured_EDFM_EX2_1to2_solutions( fracturemesh,pointvsregion,raopoint,f,nf,nx,ny,nz,kx,ky,kz,Kf,Wf,Porf,dxv,dyv,dzv,coordinates,nodes,NTG,addflag ); + nfc=size(fracnumber,1); + nex=size(T,1); + r.nfc=nfc; + r.number_of_adding=number_of_adding; + nmc = nmc+number_of_adding; + r.nmc = nmc; + nc=nfc+nmc; + r.nc=nc;%基质网格和裂缝单元总数 + r.nex=nex;%具有流体交换的总数 + kf=Kf(fcinff); + wf=Wf(fcinff); + r.kf=kf;%裂缝单元对应的渗透率 + r.wf=wf;%裂缝单元对应的缝宽 + r.N=N; + r.T=T; + r.T_convection=T_convection; + r.vf=vf; + r.fractureCell_matrixCell_addedMatrixCell = fractureCell_matrixCell_addedMatrixCell; + r.volume_ratio=volume_ratio; + % 劈分或增加 + vm_the_added_cell = vm(cell_divided_by_fracture_flag).*volume_ratio; + vm(cell_divided_by_fracture_flag) = vm(cell_divided_by_fracture_flag).*(1-volume_ratio); + vm = [vm; vm_the_added_cell]; + r.V=[vm;vf]; + pori = [pori; pori(cell_divided_by_fracture_flag)]; + r.cell_divided_by_fracture_flag = cell_divided_by_fracture_flag; + r.porf=porf; + r.fcff=fcff; + r.mat_frac=mat_frac; +elseif modelflag==12 % 表示基于非结构网格pEDFM的 EX2 参考解 + [ matrixvsfra,connectmf,fracnumber,fracstart,corevsfra,connect_infrac, N,T,zf,fcinff,vf,porf,fcff,T_convection,mat_frac,number_of_adding,cell_divided_by_fracture_flag,volume_ratio,fractureCell_matrixCell_addedMatrixCell] = connections_unstructured_EDFM_EX2_1to4_solutions( fracturemesh,pointvsregion,raopoint,f,nf,nx,ny,nz,kx,ky,kz,Kf,Wf,Porf,dxv,dyv,dzv,coordinates,nodes,NTG,addflag ); + nfc=size(fracnumber,1); + nex=size(T,1); + r.nfc=nfc; + r.number_of_adding=number_of_adding; + nmc = nmc+number_of_adding; + r.nmc = nmc; + nc=nfc+nmc; + r.nc=nc;%基质网格和裂缝单元总数 + r.nex=nex;%具有流体交换的总数 + kf=Kf(fcinff); + wf=Wf(fcinff); + r.kf=kf;%裂缝单元对应的渗透率 + r.wf=wf;%裂缝单元对应的缝宽 + r.N=N; + r.T=T; + r.T_convection=T_convection; + r.vf=vf; + r.fractureCell_matrixCell_addedMatrixCell = fractureCell_matrixCell_addedMatrixCell; + r.volume_ratio=volume_ratio; + % 劈分或增加 + vm_the_added_cell = vm(cell_divided_by_fracture_flag).*volume_ratio; + vm(cell_divided_by_fracture_flag) = vm(cell_divided_by_fracture_flag).*(1-volume_ratio); + vm = [vm; vm_the_added_cell]; + r.V=[vm;vf]; + pori = [pori; pori(cell_divided_by_fracture_flag)]; + r.cell_divided_by_fracture_flag = cell_divided_by_fracture_flag; + r.porf=porf; + r.fcff=fcff; + r.mat_frac=mat_frac; +elseif modelflag==13 % 表示基于非结构网格pEDFM的 EX2 参考解 + [ matrixvsfra,connectmf,fracnumber,fracstart,corevsfra,connect_infrac, N,T,zf,fcinff,vf,porf,fcff ] = connections_PEDFM_TPFA_MFD( fracturemesh,pointvsregion,raopoint,f,nf,nx,ny,nz,perm,Kf,Wf,Porf,dxv,dyv,dzv,coordinates,nodes,NTG,addflag,frac_information, coordinates); + nfc=size(fracnumber,1); + nex=size(T,1); + r.nfc=nfc; + nc=nfc+nmc; + r.nc=nc;%基质网格和裂缝单元总数 + r.nex=nex;%具有流体交换的总数 + kf=Kf(fcinff); + wf=Wf(fcinff); + r.kf=kf;%裂缝单元对应的渗透率 + r.wf=wf;%裂缝单元对应的缝宽 + r.N=N; + r.T=T; + r.vf=vf; + r.V=[vm;vf]; + r.porf=porf; + r.fcff=fcff; +elseif modelflag==14 %表示用 PEDFM + [ matrixvsfra,connectmf,fracnumber,fracstart,corevsfra,connect_infrac, N,T,zf,fcinff,vf,porf,fcff ] = connections_PEDFM_new_twofractures( fracturemesh,pointvsregion,raopoint,f,nf,nx,ny,nz,kx,ky,kz,Kf,Wf,Porf,dxv,dyv,dzv,coordinates,nodes,NTG,addflag,frac_information, coordinates); + nfc=size(fracnumber,1); + nex=size(T,1); + r.nfc=nfc; + nc=nfc+nmc; + r.nc=nc;%基质网格和裂缝单元总数 + r.nex=nex;%具有流体交换的总数 + kf=Kf(fcinff); + wf=Wf(fcinff); + r.kf=kf;%裂缝单元对应的渗透率 + r.wf=wf;%裂缝单元对应的缝宽 + r.N=N; + r.T=T; + r.vf=vf; + r.V=[vm;vf]; + r.porf=porf; + r.fcff=fcff; +else + [ matrixvsfra,connectmf,fracnumber,fracstart,corevsfra,connect_infrac, N,T,zf,fcinff,vf,porf,fcff ] = connections( fracturemesh,pointvsregion,raopoint,f,nf,nx,ny,nz,kx,ky,kz,Kf,Wf,Porf,dxv,dyv,dzv,NTG ); + nfc=size(fracnumber,1); + nex=size(T,1); + r.nfc=nfc; + nc=nfc+nmc; + r.nc=nc;%基质网格和裂缝单元总数 + r.nex=nex;%具有流体交换的总数 + kf=Kf(fcinff); + wf=Wf(fcinff); + r.kf=kf;%裂缝单元对应的渗透率 + r.wf=wf;%裂缝单元对应的缝宽 + r.N=N; + r.T=T; + r.vf=vf; + r.V=[vm;vf]; + r.porf=porf; + r.fcff=fcff; + %% 计算传导系数 + % dxvector=ones(1,nx);dyvector=ones(1,ny);dzvector=ones(1,nz); + % [ transmatrix,transfracture ] = trans(dxvector,dyvector,dzvector ,nx,ny,nz,nf,fracnumber,lengthvsfra,disvsfra,fracstart,connect_infrac,corevsfra,matrixvsfra,raopoint,f ); + %% 计算基质与裂缝之间窜流的相关系数 + if modelflag==2 %表示用2018, Rao + [ G,Gfm,Gff,Gf,Ap,Apf ]=interflowmf1(r,dxv,dyv,dzv,matrixvsfra,connectmf,fracstart,fracnumber,raopoint,f,nodes,coordinates,nf,corevsfra ); + [Ka, M, F2M , MF_coef] = transFunc_aniso(nc,coordinates, nodes, connectmf,Ap,Apf, matrixvsfra,N,T,kx, ky,kz); + r.Ka = Ka; + r.M = M; + r.F2M = F2M; + r.MF_coef = MF_coef; + elseif modelflag==5 %表示用 Modified Rao, steady, 2018 + [ G,Gfm,Gff,Gf,Ap,Apf ] = interflowmf_MODIFIED(r,dxv,dyv,dzv,matrixvsfra,connectmf,fracstart,fracnumber,raopoint,f,nodes,coordinates,nf,corevsfra ); + [Ka, M, F2M , MF_coef] = transFunc_aniso_MODIFIED(nc,coordinates, nodes, connectmf,Ap,Apf, matrixvsfra,N,T,kx, ky,kz); + r.Ka = Ka; + r.M = M; + r.F2M = F2M; + r.MF_coef = MF_coef; + % [ G,Gfm,Gff,Gf,Ap,Apf,Apmt,Apft ]=interflowmf1_transient(dxv,dyv,dzv,matrixvsfra,connectmf,fracstart,fracnumber,raopoint,f,nodes,coordinates,nf,corevsfra ); + end + % [ G,Gfm,Gff,Gf,Ap,Apf ]=interflowmf1(dxv,dyv,dzv,matrixvsfra,connectmf,fracstart,fracnumber,raopoint,f,nodes,coordinates,nf,corevsfra ); + %% + + % r.MF_deltt=MF_deltt; +end +%% 计算深度（以下平面为基准计算得到的高度，值为正数） +z=[zm;zf]; +r.z=z; + + +rpt = [ones(nmc, 1); zeros(nfc, 1)]; +r.rpt = rpt; +r.Porf = Porf; +pori = [pori; porf]; +r.pori = pori; +r.por = @(p)por(p, prpor, pori, cpor, prporf, cporf, r.rpt); +tpre=toc; +r.tpre=tpre; diff --git a/generic extended/GridProp_new.m b/generic extended/GridProp_new.m new file mode 100644 index 0000000..b196bc2 --- /dev/null +++ b/generic extended/GridProp_new.m @@ -0,0 +1,230 @@ +function r = GridProp_new(modelflag, r, kx, ky, kz, f, frac_information, fellip, Kf, Wf, pori, prpor, cpor, Porf, prporf, cporf, cf, ca, valid_grids) +tic; +%% ȡ +nx = r.nx; +ny = r.ny; +nz = r.nz; +dx = r.dx; +dy = r.dy; +dz = r.dz; +NTG = r.NTG; +coordinates = r.coordinates; +nodes = r.nodes; +nP = r.nP; +nmc = r.nmc; +dxv = r.dxv; +dyv = r.dyv; +dzv = r.dzv; +zm = r.zm; +vm = r.vm; +xrao = r.xrao; +yrao = r.yrao; +zrao = r.zrao; +cell_mid_coords = r.cell_mid_coords; +% +kx(valid_grids==0)=1e-12; +ky(valid_grids==0)=1e-12; +kz(valid_grids==0)=1e-12; +% +r.modelflag=modelflag; +r.kx = kx; +r.ky = ky; +r.kz = kz; +r.Kf = Kf;%ѷӦ͸ʣѷ쵥Ԫ +r.Wf = Wf;%ѷӦķѷ쵥Ԫ +r.cf = cf; +r.ca = ca; +% r.co=co; +r.cpor=cpor; +r.cporf=cporf; +r.frac_information = frac_information; + +% % % [coordinates, nodes, nP, nE, dxv, dyv,dzv,zm,vm,xrao,yrao,zrao,cell_mid_coordinates] = GenerateNode_final(dx, dy,dz ,nx,ny,nz,NTG); +% % % r.coordinates = coordinates; +% % % r.nodes = nodes; +% % % nmc=nE; +% % % r.nmc =nmc; +% % % r.dxv = dxv; +% % % r.dyv = dyv; +% % % r.dzv = dzv; +% % % r.vm=vm; +% % % r.cell_mid_coordinates=cell_mid_coordinates; +%% ѷ +%% ؼʼ +m=size(f,1); +n=size(fellip,1); +nfr=m/5;%ιѷ +nfir=n/5;%ѷȻԲ +r.nfr=nfr; r.nfir=nfir; +nf=nfr+nfir; +r.nf=nf; +if (nfir~=0) && (nfr~=0) + f=[f;fellip]; +else if nfr~=0 + f=f; +else if nfir~=0 + f=fellip; +else error('Dr Rao reminds you that there is no information about fractures'); +end +end +end + +%d3intersection=-1000*ones(1000,3);%-1000ʶ +raopoint=cell(nfr+nfir,2);%Ԫ洢ÿѷߵĽ㣬 +%һάʽd3intersection +%ڶѷʽanothersection +pointvsregion=cell(nfr+nfir,3);%Ԫ洢interareaĽnumofmesh, numvspoint,numofregion +fracrossfra=cell(nfr+nfir,nfr+nfir-1);%жѷ֮ +fratmaxfra=zeros(nfr+nfir,nfr+nfir-1);%жѷ֮佻ֵ߲ +fratminfra=zeros(nfr+nfir,nfr+nfir-1);%жѷ֮佻߲Сֵ +fracturemesh=cell(nf,1);%ÿһһѷϵʷ + +%% ѷཻ +for i=1:nfr + raopoint{i,1}= intersectionsolve_new_modified_r(f((5*i-4):(5*i),:),dx,dy,dz,nx,ny,nz,xrao,yrao,zrao ); + raopoint{i,2}= anosection( f((5*i-4):(5*i),:),raopoint{i,1} ); + [ pointvsregion{i,1},pointvsregion{i,2} ,pointvsregion{i,3}] = interarea( raopoint{i,1},dx,dy,dz,nx,ny,nz,xrao,yrao,zrao ); +end +% +if nfir>0 + for i=1:nfir + raopoint{nfr+i,1}= intersectionsolve_new_modified_irr(fellip((5*i-4):(5*i),:),dx,dy,dz,nx,ny,nz,xrao,yrao,zrao ); + raopoint{nfr+i,2}= anosection( f((5*(nfr+i)-4):(5*(nfr+i)),:),raopoint{nfr+i,1} ); + [ pointvsregion{nfr+i,1},pointvsregion{nfr+i,2} ,pointvsregion{nfr+i,3}] = interarea( raopoint{nfr+i,1},dx,dy,dz,nx,ny,nz,xrao,yrao,zrao ); + end +end + +%% ѷཻ֮ +for i=1:nf + for j=1:nf + if i>nfr || j>nfr cross=zeros(2,3);tmax=0;tmin=0; + else + % [ cross,tmax,tmin ]=frac_cross_frac( f((5*i-4):(5*i),:),f((5*j-4):(5*j),:) ); + cross=zeros(2,3);tmax=0;tmin=0; + end + fracrossfra{i,j}=cross;fratmaxfra(i,j)=tmax;fratminfra(i,j)=tmin; + end +end +%% ѷ챻ѷֲཻ֮,ƶάѷƽϵϵֲ +% figure('color','w'); +addflag=zeros(nf,1);%2ݴΣֹΪѷ϶࣬ɾ̫ +for i=1:nf + d3intersection=raopoint{i,1};anothersection=raopoint{i,2}; + [ mesh ] = frac_mat_mesh( d3intersection,anothersection,pointvsregion{i,2},pointvsregion{i,1} ); + % for j=1:nf + % [ mesh,d3intersection,anothersection,add_flag ]= frac_frac_mesh_modified(xrao,yrao,zrao,mesh,f(5*i-4,:),f(5*i-3,:),f(5*i-2,:),fracrossfra{i,j},fratmaxfra(i,j),fratminfra(i,j),d3intersection,anothersection,pointvsregion{i,2},pointvsregion{i,1} ); + % addflag(j,1)=addflag(j,1)+add_flag; + % end + raopoint{i,1} = d3intersection; raopoint{i,2} = anothersection;%ԭѷĽ㲻ϸ¼ѷѷĽ + fracturemesh{i,1}=mesh; + % subplot(nf,1,i);color_fill={'y','r','b','g'}; + % plotmesh2D(mesh,raopoint{i,2},color_fill{1,mod(i,4)+1}); +end + +%% ά񣨻񣩼ѷֲ +%figure(2) +%network3D(dx,dy,dz,nx,ny,nz ); +%hold on; +figure('color','w'); +% plot_reservoir_3D(max(xrao),max(yrao),dz(1),1,1,nz); +% plot_reservoir_3D(dx(1),dy(1),dz(1),nx,ny,nz); +network3D(dx(1),dy(1),dz(1),nx,ny,nz); +% network3D(1000,700,10,1,1,1); +% network3D(800,300,10,1,1,1); +hold on; + +% network3D_arbitrary(dx,dy,dz,nx,ny,nz); +% refine; +% hold on; +for i=1:nf + % color_fill={'y','r','b','g','c','m'}; + % color_fill={'y','r','b','g'}; + % plotmesh3D( fracturemesh{i,1},raopoint{i,1},color_fill{1,mod(i,4)+1});hold on; + if i <= 100 + color_fill='b'; % + % elseif i <=19 + % color_fill='b'; %ѹѷ +% if i == 2 || i == 9 +% color_fill='r'; +% end + else + color_fill='k'; %Ȼѷ + end + % plotmesh3D( fracturemesh{i,1},raopoint{i,1},color_fill{1,mod(i,4)+1});hold on; + plotmesh3D( fracturemesh{i,1},raopoint{i,1},color_fill);hold on; +end +% % % basic_node_coord = [0,0,0]; +% % % x_length = 700; +% % % y_length = 800; +% % % z_length = 10; +% % % nodes_domain = [basic_node_coord;] +% % % fill3(x,y,z,'w'); +% refine1; +% refine_chengjiepaper; +% refine; +% plot_reservoir_3D(max(xrao),max(yrao),dz(1),1,1,nz); +% plot_reservoir_3D(dx(1),dy(1),dz(1),nx,ny,nz); +xlabel('x, m','FontSize',14); +ylabel('y, m','FontSize',14); +zlabel('z, m','FontSize',14); +ax = gca; +ax.FontSize = 14; +% +% zticks([0, 5]); +% yticks(-1:0.5:1); +% xyĿ̶ȱǩ +% zticklabels({'-2005', '-2000'}); +% yticklabels({'-1', '-0.5', '0', '0.5', '1'}); +% رտ̶ȱǩת +% xticklabels('Rotation', 0); +% yticklabels('Rotation', 0); +% axis equal; +% refine; +% hold on +% network3D(dx(1),dy(1),dz(1),nx,ny,nz); +% network3D(max(xrao),max(yrao),max(zrao),1,1,1 ); +% network3D(10,10,10,2,1,1 ); +% network3D(10,10,10,6,1,2 ); +alpha(1) +view(3) +% axis([min(xrao),max(xrao),min(yrao),max(yrao),min(zrao),max(zrao)]); +% axis equal +% % hold off; +%% ȷѷż㴫ϵ +if modelflag==1 %ʾ2014, Monifar + [ matrixvsfra,connectmf,fracnumber,fracstart,corevsfra,connect_infrac, N,T,zf,fcinff,vf,porf,fcff,T_convection,mat_frac,cell_divided_by_fracture_flag, flowArea, perm, matrixflag, T_diff ] = connections_2014( fracturemesh,pointvsregion,raopoint,f,nf,nx,ny,nz,kx,ky,kz,pori,Kf,Wf,Porf,dxv,dyv,dzv,coordinates,nodes,NTG,addflag,valid_grids ); + nfc=size(fracnumber,1); + nex=size(T,1); + r.nfc=nfc; + nc=nfc+nmc; + r.nc=nc;%ѷ쵥Ԫ + r.nex=nex;%彻 + kf=Kf(fcinff); + wf=Wf(fcinff); + r.kf=kf;%ѷ쵥ԪӦ͸ + r.wf=wf;%ѷ쵥ԪӦķ + r.N=N; + r.T=T; + r.T_convection=T_convection; + r.T_diff = T_diff; + r.vf=vf; + r.V=[vm;vf]; + r.porf=porf; + r.fcff=fcff; + r.mat_frac=mat_frac; + r.cell_divided_by_fracture_flag = cell_divided_by_fracture_flag; + r.flowArea=flowArea; + r.perm=perm; + r.matrixflag=matrixflag; +end +%% ȣƽΪ׼õĸ߶ȣֵΪ +z=[zm;zf]; +r.z=z; +rpt = [ones(nmc, 1); zeros(nfc, 1)]; +r.rpt = rpt; +r.Porf = Porf; +pori = [pori; porf]; +r.pori = pori; +r.por = @(p)por(p, prpor, pori, cpor, prporf, cporf, r.rpt); +tpre=toc; +r.tpre=tpre; diff --git a/generic extended/calculate_relative_errors.m b/generic extended/calculate_relative_errors.m new file mode 100644 index 0000000..4726f83 --- /dev/null +++ b/generic extended/calculate_relative_errors.m @@ -0,0 +1,35 @@ +function [ relative_errors ] = calculate_relative_errors( results_EDFM_matrix, results_pEDFM_case1, results_pEDFM_case2, r_EDFMs) +%CALCULATE_RELATIVE_ERRORS ˴ʾйش˺ժҪ +% ˴ʾϸ˵ +% % % EDFM_result = results_EDFM_matrix(:,1); +% % % pEDFM_result_case1 = results_pEDFM_case1(:,2); +% % % modified_EDFM_result = results_pEDFM_case2(:,3); +% % % new_EDFM_result = results_EDFMs_matrix(:,4); +% % % LGR_result = results_LGR(:,1); + +EDFMs_cell_mid_point_coordinates = r_EDFMs.cell_mid_coordinates; +% LGR_cell_mid_point_coordinates = r_LGR.cell_mid_coordinates; + +num_of_cells = size(EDFMs_cell_mid_point_coordinates,1); +% the_reference_solution_for_comparison = zeros(num_of_cells,1); + +% % % for i = 1:num_of_cells +% % % [a,b]=min((LGR_cell_mid_point_coordinates(:,1)- EDFMs_cell_mid_point_coordinates(i,1)).^2+(LGR_cell_mid_point_coordinates(:,2)- EDFMs_cell_mid_point_coordinates(i,2)).^2); +% % % the_reference_solution_for_comparison(i,1) = LGR_result(b(1),1); +% % % end +% +fracture_perm = [ 100, 700, 4000, 20000, 100000]; +relative_errors = zeros(2,5); +for j = 1:5 +relative_errors(1,j) = norm(results_EDFM_matrix(1:num_of_cells,j)-results_pEDFM_case2(1:num_of_cells,j))/norm(results_pEDFM_case2(1:num_of_cells,j)); +relative_errors(2,j) = norm(results_pEDFM_case1(1:num_of_cells,j)-results_pEDFM_case2(1:num_of_cells,j))/norm(results_pEDFM_case2(1:num_of_cells,j)); + +% relative_errors(1,2) = norm(pEDFM_result(1:num_of_cells,1)-the_reference_solution_for_comparison(:,1))/norm(the_reference_solution_for_comparison(:,1)); +% relative_errors(1,3) = norm(modified_EDFM_result(1:num_of_cells,1)-the_reference_solution_for_comparison(:,1))/norm(the_reference_solution_for_comparison(:,1)); +% relative_errors(1,4) = norm(new_EDFM_result(1:num_of_cells,1)-the_reference_solution_for_comparison(:,1))/norm(the_reference_solution_for_comparison(:,1)); +end +% relative_errors(1,5) = norm(LGR_result(:,1)-the_reference_solution_for_comparison(:,1))/norm(the_reference_solution_for_comparison(:,1)); + + +end + diff --git a/generic extended/calculate_relative_errors_vs_cellsize.m b/generic extended/calculate_relative_errors_vs_cellsize.m new file mode 100644 index 0000000..7c2b4b8 --- /dev/null +++ b/generic extended/calculate_relative_errors_vs_cellsize.m @@ -0,0 +1,72 @@ +function [ relative_errors ] = calculate_relative_errors_vs_cellsize( results_EDFM_matrix, results_pEDFM_case1, results_pEDFM_case2, results_reference, r_0_5m, r_1m, r_2m, r_4m) +% r_EDFMs_0_25, r_EDFMs_0_5, r_EDFMs_1, r_EDFMs_2, r_EDFMs_4 +%CALCULATE_RELATIVE_ERRORS ˴ʾйش˺ժҪ +% ˴ʾϸ˵ +% % % EDFM_result = results_EDFM_matrix(:,1); +% % % pEDFM_result_case1 = results_pEDFM_case1(:,2); +% % % modified_EDFM_result = results_pEDFM_case2(:,3); +% % % new_EDFM_result = results_EDFMs_matrix(:,4); +% % % LGR_result = results_LGR(:,1); + +% EDFMs_cell_mid_point_coordinates = r_EDFMs.cell_mid_coordinates; +% % LGR_cell_mid_point_coordinates = r_LGR.cell_mid_coordinates; +% +% num_of_cells = size(EDFMs_cell_mid_point_coordinates,1); +% the_reference_solution_for_comparison = zeros(num_of_cells,1); + +% % % for i = 1:num_of_cells +% % % [a,b]=min((LGR_cell_mid_point_coordinates(:,1)- EDFMs_cell_mid_point_coordinates(i,1)).^2+(LGR_cell_mid_point_coordinates(:,2)- EDFMs_cell_mid_point_coordinates(i,2)).^2); +% % % the_reference_solution_for_comparison(i,1) = LGR_result(b(1),1); +% % % end +% +x_data = [0.5, 1, 2, 5]; +relative_errors = zeros(2,4); +for j = 1:4 +% if j == 1 r_EDFMs = r_EDFMs_0_25; end; +% if j == 2 r_EDFMs = r_EDFMs_0_5; end; +% if j == 3 r_EDFMs = r_EDFMs_1; end; +% if j == 4 r_EDFMs = r_EDFMs_2; end; +% if j == 5 r_EDFMs = r_EDFMs_4; end; + if j == 1 r_EDFMs = r_0_5m; end; + if j == 2 r_EDFMs = r_1m; end; + if j == 3 r_EDFMs = r_2m; end; + if j == 4 r_EDFMs = r_4m; end; +% if j == 5 r_EDFMs = r_EDFMs_4; end; + +EDFMs_cell_mid_point_coordinates = r_EDFMs.cell_mid_coordinates; +% LGR_cell_mid_point_coordinates = r_LGR.cell_mid_coordinates; +num_of_cells = size(EDFMs_cell_mid_point_coordinates,1); +the_numnering = (1:(r_EDFMs.nx*r_EDFMs.ny*r_EDFMs.nz))'; +the_numnering(r_EDFMs.cell_divided_by_fracture_flag)=[]; +% relative_errors(1,j) = norm(results_EDFM_matrix(1:num_of_cells,j)-results_pEDFM_case2(1:num_of_cells,j))/norm(results_pEDFM_case2(1:num_of_cells,j)); +% relative_errors(2,j) = norm(results_pEDFM_case1(1:num_of_cells,j)-results_pEDFM_case2(1:num_of_cells,j))/norm(results_pEDFM_case2(1:num_of_cells,j)); + +% relative_errors(1,j) = sqrt(sum((results_EDFM_matrix(the_numnering,j)-results_reference(the_numnering,j)).^2)/size(the_numnering,1)); +% relative_errors(2,j) = sqrt(sum((results_pEDFM_case1(the_numnering,j)-results_reference(the_numnering,j)).^2)/size(the_numnering,1)); +% relative_errors(3,j) = sqrt(sum((results_pEDFM_case2(the_numnering,j)-results_reference(the_numnering,j)).^2)/size(the_numnering,1)); +% +relative_errors(1,j) = norm(results_EDFM_matrix(the_numnering,j)-results_reference(the_numnering,j))/norm(1-results_reference(the_numnering,j)); +relative_errors(2,j) = norm(results_pEDFM_case1(the_numnering,j)-results_reference(the_numnering,j))/norm(1-results_reference(the_numnering,j)); +relative_errors(3,j) = norm(results_pEDFM_case2(the_numnering,j)-results_reference(the_numnering,j))/norm(1-results_reference(the_numnering,j)); + +% relative_errors(1,2) = norm(pEDFM_result(1:num_of_cells,1)-the_reference_solution_for_comparison(:,1))/norm(the_reference_solution_for_comparison(:,1)); +% relative_errors(1,3) = norm(modified_EDFM_result(1:num_of_cells,1)-the_reference_solution_for_comparison(:,1))/norm(the_reference_solution_for_comparison(:,1)); +% relative_errors(1,4) = norm(new_EDFM_result(1:num_of_cells,1)-the_reference_solution_for_comparison(:,1))/norm(the_reference_solution_for_comparison(:,1)); +end +% relative_errors(1,5) = norm(LGR_result(:,1)-the_reference_solution_for_comparison(:,1))/norm(the_reference_solution_for_comparison(:,1)); +figure('color','w'); +plot(x_data,relative_errors(1,:),'k^-'); +hold on; +plot(x_data,relative_errors(2,:),'rs-'); +hold on; +plot(x_data,relative_errors(3,:),'bo-'); +hold on; +plot(x_data,relative_errors(3,:),'gv-'); +hold off; +xlabel('grid size, m'); +ylabel('L_2 relative error, dimensionless'); +legend('EDFM', 'pEDFM-SDP', 'pEDFM-MTM', 'pEDFM-continuous'); + + +end + diff --git a/generic extended/connections_PEDFM_EX1_solutions.m b/generic extended/connections_PEDFM_EX1_solutions.m new file mode 100644 index 0000000..3b360a7 --- /dev/null +++ b/generic extended/connections_PEDFM_EX1_solutions.m @@ -0,0 +1,642 @@ +function [ matrixvsfra,connectmf,fracnumber,fracstart,corevsfra,connect_infrac,N,T,zf,fcinff,vf,porf,fcff] = connections_PEDFM_EX1_solutions( fracturemesh,pointvsregion,raopoint,f,nf,nx,ny,nz,kx,ky,kz,kf,wf,Porf,dxv,dyv,dzv,coord,nodes,NTG,addflag,frac_information,coordinates) +% úԸѷţ洢ӹϵʣǰĹؼ +% ͬڶάǶʽɢѷģͣάģУѷǶάƽ棬֮ӹϵӣ +%ܼ򵥵ôӻжڣѷزڣڣѷȴһ +%ԭȥȷconnectionsȡ· +%һ:xinkȥк󣬰θijѷţͬʱ洢ѷڵĻ +%ڶ:洢ÿѷ߽磬߽糤ȣĵ꣬ĵ㵽߽ľ룬Ϊ׼ +%:ѷ˳򣬰ձ߽ͬı߽磬ѷڵ +%matrixvsfraаѷŵ +%fracnumberűʾѷţݱʾĵ +%areavsfraűʾѷţݱʾѷ +%ÿһߣȻ˳򷴹һ +%lengthvsfraűʾѷţݱʾѷĸ߳ +%corevsfraűʾѷţݱʾѷ +%disvsfraűʾѷţݱʾѷĵߵľ +matrixvsfra=zeros(nx*ny*nz,10);%Ϊ˼ٸþĴСʵһУһ㲻г10ѷ +fracnumber=zeros(1000,20);%ʵѷһ㲻ᳬ1000Ҳɸʵı +%m=size(xink,1); +rownum=zeros(nf,1); +for i=1:nf + rownum(i)=size(fracturemesh{i,1},1); +end +%% ѷһţӸӦĻ +q=1; +fracstart=zeros(nf+1,1);%ʾܱУÿѷʼĺ +for j=1:nf + fracstart(j)=q; + numofmesh=pointvsregion{j,1}; + for i=1:1:rownum(j) + if(norm(fracturemesh{j,1}(i,:))~=0) + raoindice=size(fracturemesh{j,1}(i,:),2); + fracnumber(q,1:raoindice)=fracturemesh{j,1}(i,:);%qǸѷ + m=floor((i+(2^addflag(j)-1))/(2^addflag(j))); + indice=find(matrixvsfra(numofmesh(m),:)~=0); + % indice=find(matrixvsfra(numofmesh(i),:)~=0); + if (size(indice,2)==0) xiang=1; + else + rao=max(indice'); + xiang=rao(1)+1; + end + matrixvsfra(numofmesh(m),xiang)=q;%ѷŸӦĻ + q=q+1; + end + end +end +fracstart(nf+1)=q;%ѷ+1 +fracnumber(q:1000,:)=[]; + + +%% ѷ쵥ԪĻɸѡ,д +m=size(matrixvsfra,1); +connectmf=cell(1,4); +% for i=1:m +% if (norm(matrixvsfra(i,:))~=0) +% ConnecS = cell(1,4); +cc = 0; +cl = 1; +for i = 1 : m + %ɸѡѷĻ + % if ~isempty(matrixvsfra(i,:)) + if (norm(matrixvsfra(i,:)))~=0 + cc = cc + 1; + %洢û + connectmf{cc,1} = i; + %Щѷ/ѷ쵥Ԫ˳ + A=matrixvsfra(i,:); + A(A==0)=[]; + connectmf{cc,2} =A; + end +end + +%% һѷѷ߽ȵ +% edgevsfra=cell(nf,1); +% +fractureCellType = zeros(q-1,1); +theNumber = 3; +fractureCellType = repmat((1:theNumber)',(q-1)/theNumber,1); +% +normalvec=zeros(q-1,3);%unit +areavsfra=zeros(q-1,1);%q-1ѷ +lengthvsfra=zeros(q-1,10); +Kf=zeros(q-1,1);%ѷ͸ +Wf=zeros(q-1,1);%ѷ쵥Ԫ +corevsfra=zeros(q-1,3); +disvsfra=zeros(q-1,10); +tran=zeros(q-1,10); +avtran=zeros(q-1,1);%ѷƽںļ򻯼 +fcinff=zeros(q-1,1);%ʾѷ쵥Ԫڵѷ +zf=zeros(q-1,1);%ѷ쵥Ԫ߶ȣ±Ϊ׼ +vf=zeros(q-1,1);%ѷ쵥Ԫ +porf=zeros(q-1,1);%ѷ쵥ԪĿ϶ +for i=1:1:q-1 %ѷв + if(norm(fracnumber(i,:))==0) break; + else + for k=2:(nf+1) + if(i0 + for i=1:(q-1) + [dogindex,~]=find(deindex==i); + if length(dogindex)~=0 + newnum(i)=0; + else + [catindex,~]=find(deindex2)||((size(raoflag,2)<2))) continue;%Ϊ͹ΣֻҪѷĹԪ2йߣ + %2ͬѷΪǣһǰΣìܣ֤ϣСûйеı + else if (a==b) continue; %˵ѷ쵥ԪͬһУ˲Ӧڴ + else + raoconnect(p,q)=k;q=q+1; + lengthcat=norm(d3intersection(raoflag(1),:)-d3intersection(raoflag(2),:));%ѷ쵥Ԫ߳ + rao1k=corevsfra(k,:)-d3intersection(raoflag(1),:); + rao1j=corevsfra(j,:)-d3intersection(raoflag(1),:); + rao2=d3intersection(raoflag(1),:)-d3intersection(raoflag(2),:); + %ֱѷ쵥Ԫĵߵľ + disk=norm(cross(rao1k',rao2'))/norm(rao2); + disj=norm(cross(rao1j',rao2'))/norm(rao2); + if Kf(j)==0 || Kf(k)==0 + hartran=0; + else + tran1=Kf(j)*wf(i)*lengthcat/disk; + tran2=Kf(k)*wf(i)*lengthcat/disj; + % hartran=length/(disk+disj);%ȡƽһ + hartran=tran1*tran2/(tran1+tran2); + end + Nff=[Nff; j,k]; + Tff=[Tff;hartran]; + %ÿѷĵÿߵľ + end + end + p=p+1; + end + connect_infrac{i,1}=raoconnect; + end +end +Nff(1,:)=[]; %ȥһе +Tff(1,:)=[]; +%% ͬһеѷ쵥Ԫʼ +nmc=size(matrixvsfra,1); +Nmff=zeros(1,2); +Tmff=zeros(1,1); +for i=1:nmc + if(norm(matrixvsfra(i,:))~=0) + indice=find(matrixvsfra(i,:)~=0); + n=size(indice,2); + if (n>1) %ʱҪȡļ㷨 + % lengthvsfra(matrixvsfra(i,indice))./disvsfra(matrixvsfra(i,indice)) + for j=1:n-1 + for k=(j+1):n + Nmff=[Nmff;matrixvsfra(i,indice(j)), matrixvsfra(i,indice(k))]; + % ʱļ㷽ʽÿѷƽڸûеѷ쵥Ԫƽ + fc1=matrixvsfra(i,indice(j)); fc2=matrixvsfra(i,indice(k)); + allfc=matrixvsfra(i,1:n); sumtran=sum(fcff{1,7}(allfc)); + if sumtran==0 Tmff=[Tmff; 0]; + else + Tmff=[Tmff; fcff{1,7}(fc1)*fcff{1,7}(fc2)/sumtran]; + end + end + end + end + end +end +Nmff(1,:)=[]; %ȥͷ +Tmff(1,:)=[]; +% N = [N; Nmff+nmc]; +% T = [T; Tmff]; + +%% ϵ +nmc=nx * ny*nz;%Ŀ +nfc=size(fracnumber,1);%ѷ쵥ԪĿ +rpt = [ones(nmc, 1); zeros(nfc, 1)]; +% r.rpt = rpt; +nmm = (nx-1)*ny*nz+(ny-1)*nx*nz+(nz-1)*nx*ny;%nmmǻ֮彻 +% r.nf = nmm + nff;%nffѷ쵥Ԫ֮彻 +S_ex=zeros(nmm,1);% 彻 + +Kx=kx.*ones(nmc,1); +Ky=ky.*ones(nmc,1); +Kz=kz.*ones(nmc,1); +N = zeros(nmm, 2);%洢֮彻 +T = zeros(nmm, 1);%洢ӦNĴϵ +c = 0; +for k= 1 : nz + for j = 1 : ny + for i = 1 : nx - 1 + c = c + 1; + index = i + (j - 1) * nx + (k - 1) * nx * ny; + indexn = index + 1; + N(c, :) = [index, indexn]; + T(c) = 2 * dzv(index)*dyv(index)*Kx(index)*Kx(indexn)*NTG(index)*NTG(indexn)/(Kx(index)*dxv(indexn)*NTG(index) + Kx(indexn)*dxv(index)*NTG(indexn)); + % 2 * dzv(index)*dyv(index)*Kx(index)*Kx(indexn)/(Kx(index)*dxv(indexn) + Kx(indexn)*dxv(index)); + S_ex(c)=dzv(index)*dyv(index); + end + end +end + +for k= 1 : nz + for i = 1 : nx + for j = 1 : ny - 1 + c = c + 1; + index = i + (j - 1) * nx + (k - 1) * nx * ny; + indexn = index + nx; + N(c, :) = [index, indexn]; + T(c) = 2 * dzv(index)*dxv(index)*Ky(index)*Ky(indexn)/(Ky(index)*dyv(indexn) + Ky(indexn)*dyv(index)); + S_ex(c)=dzv(index)*dxv(index); + end + end +end + +for i = 1 : nx + for j = 1 : ny + for k= 1: nz-1 + c = c + 1; + index = i + (j - 1) * nx + (k - 1) * nx * ny; + indexn = index + nx * ny; + N(c, :) = [index, index + nx*ny]; + T(c) = 2 * dxv(index)*dyv(index)*Kz(index)*Kz(indexn)/(Kz(index)*dzv(indexn) + Kz(indexn)*dzv(index)); + S_ex(c)=dxv(index)*dyv(index); + end + end +end + + + + +%% 2014ķΪƵʽ +syms x y z; +Ninterflow=[]; +Tinterflow=[]; +for i=1:nx*ny*nz % + for j=1:10 + if matrixvsfra(i,j)~=0 %this matrix cell contains a fracture cell + Ninterflow=[Ninterflow;i,matrixvsfra(i,j)+nmc]; + kcell=(kx(i)*ky(i)*kz(i))^(1/3); + Knnc=kcell*Kf(matrixvsfra(i,j))/(kcell+Kf(matrixvsfra(i,j))); + Annc=areavsfra(matrixvsfra(i,j));% ˴ԭʼǶʽһԭʼ + fracore=corevsfra(matrixvsfra(i,j),:); + matnodes=nodes(i,:); + verco=coord(matnodes,:);norvec=normalvec(matrixvsfra(i,j),:); + matcore=mean(verco);d0=matcore-fracore; + dn=(x+d0(1))*norvec(1)+(y+d0(2))*norvec(2)+(z+d0(3))*norvec(3); + % dn=abs(dn);%ӰֵЧ + dn=sqrt(dn^2); + dn=matlabFunction(dn); + if norvec(1)~=0 && norvec(2)~=0 && norvec(3)~=0 + Dn=integral3(dn,-dxv(i)/2,dxv(i)/2,-dyv(i)/2,dyv(i)/2,-dzv(i)*NTG(i)/2,dzv(i)*NTG(i)/2)/(dxv(i)*dyv(i)*dzv(i)*NTG(i)); + else if norvec(1)~=0 && norvec(2)~=0 + Dn=dzv(i)*NTG(i)*integral2(dn,-dxv(i)/2,dxv(i)/2,-dyv(i)/2,dyv(i)/2)/(dxv(i)*dyv(i)*dzv(i)*NTG(i)); + else if norvec(1)~=0 && norvec(3)~=0 + Dn=dyv(i)*integral2(dn,-dxv(i)/2,dxv(i)/2,-dzv(i)*NTG(i)/2,dzv(i)*NTG(i)/2)/(dxv(i)*dyv(i)*dzv(i)*NTG(i)); + else if norvec(2)~=0 && norvec(3)~=0 + Dn=dxv(i)*integral2(dn,-dyv(i)/2,dyv(i)/2,-dzv(i)*NTG(i)/2,dzv(i)*NTG(i)/2)/(dxv(i)*dyv(i)*dzv(i)*NTG(i)); + else if norvec(1)~=0 + Dn=dyv(i)*dzv(i)*NTG(i)*integral(dn,-dxv(i)/2,dxv(i)/2)/(dxv(i)*dyv(i)*dzv(i)*NTG(i)); + else if norvec(2)~=0 + Dn=dxv(i)*dzv(i)*NTG(i)*integral(dn,-dyv(i)/2,dyv(i)/2)/(dxv(i)*dyv(i)*dzv(i)*NTG(i)); + else if norvec(3)~=0 + Dn=dxv(i)*dyv(i)*integral(dn,-dzv(i)*NTG(i)/2,dzv(i)*NTG(i)/2)/(dxv(i)*dyv(i)*dzv(i)*NTG(i)); + end + end + end + end + end + end + end + % Ϊ޸ + % Dn=0.9; + % Dn=2.5; + raoT=Knnc*Annc/Dn; + Tinterflow=[Tinterflow;raoT]; + end + end +end + +%% ͶӰǶʽ +nmc=size(matrixvsfra,1); +%彻ϵѷ쵥ԪͶӰ֮ +S_p=zeros(nmm,1); +% ΪͶӰ¼ӵF-M connections +Nmf_projection=[]; +Tmf_projection=[]; +for i=1:nmc + matnodes=nodes(i,:); + dx_grid=dxv(i); + dy_grid=dyv(i); + dz_grid=dzv(i); + grid_core=mean(coord(matnodes,:));%û + if(norm(matrixvsfra(i,:))~=0) + indice=find(matrixvsfra(i,:)~=0); + n=size(indice,2); + if (n>=1) %Ƚn=1ʱ + selected_face=zeros(1,3); + the_frac_cell=matrixvsfra(i,indice);%ѷ쵥Ԫ + % if Kf(the_frac_cell) <= (kx(i)*ky(i)*kz(i))^(1/3);% + % else + which_frac=fcff{1,2}(the_frac_cell,1);%ѷ쵥Ԫڵѷ + core_frac_cell=fcff{1,4}(the_frac_cell,1:3);%ѷ쵥Ԫ + area_frac_cell=fcff{1,8}(the_frac_cell,1);%ѷ쵥Ԫ + rao_struct=[i,the_frac_cell+nmc]; + pos_rao=find_row(rao_struct,Ninterflow); + %ѷ淨 + D_value=core_frac_cell-grid_core;% OF + vector_1=f(5*which_frac-3,:); + vector_2=f(5*which_frac-2,:); + n_vector_1=cross(vector_1,vector_2); + n_vector_2=-cross(vector_1,vector_2); + if (dot(n_vector_1,D_value))>=0 + n_vector=n_vector_1; + else + n_vector=n_vector_2; + end + % ͶӰ + area_frac_cell_x=abs(area_frac_cell*dot([1,0,0],n_vector)/norm(n_vector)); + area_frac_cell_y=abs(area_frac_cell*dot([0,1,0],n_vector)/norm(n_vector)); + area_frac_cell_z=abs(area_frac_cell*dot([0,0,1],n_vector)/norm(n_vector)); + %% ----------------------% fractureCellTypeѡȡͶӰ-------------------------------------- + % selected_face(1)=4; nei_grid_x=i+1; + % selected_face(2)=5; nei_grid_y=i+nx; + % selected_face(3)=6;nei_grid_z=i+nx*ny; + %% ѡַ + selectedMethod = 1; + %% method 1 + if selectedMethod == 1 + if fractureCellType(the_frac_cell) == 1 + nei_grid_x=i-1;nei_grid_y=i-nx;nei_grid_z=i+nx*ny; + end + if fractureCellType(the_frac_cell) == 2 + nei_grid_x=i-1;nei_grid_y=i-nx;nei_grid_z=i+nx*ny; + end + if fractureCellType(the_frac_cell) == 3 + nei_grid_x=i+1;nei_grid_y=i+nx;nei_grid_z=i+nx*ny; + end + struc_x=[i,nei_grid_x]; + struc_y=[i,nei_grid_y]; + struc_z=[i,nei_grid_z]; + end + %% method 2 + if selectedMethod == 2 + if fractureCellType(the_frac_cell) == 1 + nei_grid_x=i-1;nei_grid_y=i+nx;nei_grid_z=i+nx*ny; + end + if fractureCellType(the_frac_cell) == 2 + nei_grid_x=i-1;nei_grid_y=i+nx;nei_grid_z=i+nx*ny; + end + if fractureCellType(the_frac_cell) == 3 + nei_grid_x=i+1;nei_grid_y=i-nx;nei_grid_z=i+nx*ny; + end + struc_x=[i,nei_grid_x]; + struc_y=[i,nei_grid_y]; + struc_z=[i,nei_grid_z]; + end + %% method 3 + if selectedMethod == 3 + if fractureCellType(the_frac_cell) == 1 + nei_grid_x=i-1;nei_grid_y=i+nx;nei_grid_z=i+nx*ny; + struc_x=[i,nei_grid_x]; + struc_y=[i,i];% ൱û + struc_z=[i,nei_grid_z]; + end + if fractureCellType(the_frac_cell) == 2 + nei_grid_x=i-1;nei_grid_y=i+nx;nei_grid_z=i+nx*ny; + struc_x=[i,nei_grid_x]; + struc_y=[i,nei_grid_y];area_frac_cell_y = area_frac_cell_y*2;% fractureCellType(the_frac_cell) == 1ʱarea_frac_cell_y + struc_z=[i,nei_grid_z]; + end + if fractureCellType(the_frac_cell) == 3 + nei_grid_x=i+1;nei_grid_y=i-nx;nei_grid_z=i+nx*ny; + struc_x=[i,nei_grid_x]; + struc_y=[i,nei_grid_y]; + struc_z=[i,nei_grid_z]; + end + end + %% ----------------------% ͶӰӼʼ--------------------------------------------------------------- + %% x direction +% struc_x=[i,nei_grid_x]; + pos=find_row(struc_x,N); + if size(pos,1)==1 %˵ҪĴϵ + S_p(pos)=S_p(pos)+area_frac_cell_x; + kcell=(kx(i)*ky(i)*kz(i))^(1/3);%͸ + knei=(kx(nei_grid_x)*ky(nei_grid_x)*kz(nei_grid_x))^(1/3);%Ǹ͸ + added_matnodes=nodes(nei_grid_x,:); + nei_grid_core=mean(coord(added_matnodes,:));%û + % Knnc=2*kcell*Kf(the_frac_cell)/(kcell+Kf(the_frac_cell));%ƽ + % dis_added=norm(nei_grid_core-core_frac_cell); + % T_added=Knnc*area_frac_cell_x/dis_added; + % һַʽ㼸 + dis_added=norm(nei_grid_core-core_frac_cell); + if Kf(the_frac_cell)==0 + T_added=0; + else + % ѷ쵥Ԫ + Geof=Kf(the_frac_cell)*area_frac_cell/(Wf(the_frac_cell)/2); + % ڻѷ쵥Ԫ + Geofnei=knei*area_frac_cell_x/dis_added; + % ûѷ쵥Ԫ + Geofcell=Tinterflow(pos_rao,1); + + T_added=1/(1/Geofnei+1/Geofcell+1/Geof); + % T_added=0;% + % T_added=0;% + % T_added=0.0039604;% + end + Nmf_projection=[Nmf_projection;nei_grid_x,the_frac_cell+nmc]; + Tmf_projection=[Tmf_projection;T_added]; + end + %% y direction +% struc_y=[i,nei_grid_y]; + pos=find_row(struc_y,N); + if size(pos,1)==1 %˵ҪĴϵ + S_p(pos)=S_p(pos)+area_frac_cell_y; + kcell=(kx(i)*ky(i)*kz(i))^(1/3);%͸ + knei=(kx(nei_grid_y)*ky(nei_grid_y)*kz(nei_grid_y))^(1/3);%Ǹ͸ + added_matnodes=nodes(nei_grid_y,:); + nei_grid_core=mean(coord(added_matnodes,:));%û + % Knnc=2*kcell*Kf(the_frac_cell)/(kcell+Kf(the_frac_cell));%ƽ + % dis_added=norm(nei_grid_core-core_frac_cell); + % T_added=Knnc*area_frac_cell_y/dis_added; + % һַʽ㼸 + dis_added=norm(nei_grid_core-core_frac_cell); + if Kf(the_frac_cell)==0 + T_added=0; + else + % ѷ쵥Ԫ + Geof=Kf(the_frac_cell)*area_frac_cell/(Wf(the_frac_cell)/2); + % ڻѷ쵥Ԫ + Geofnei=knei*area_frac_cell_y/dis_added; + % ûѷ쵥Ԫ + Geofcell=Tinterflow(pos_rao,1); + + T_added=1/(1/Geofnei+1/Geofcell+1/Geof); + % T_added=0;% + % T_added=0.002;% + % T_added=0.0039604;% + end + Nmf_projection=[Nmf_projection;nei_grid_y,the_frac_cell+nmc]; + Tmf_projection=[Tmf_projection;T_added]; + end + + %% z direction +% struc_z=[i,nei_grid_z]; + pos=find_row(struc_z,N); + if size(pos,1)==1 %˵ҪĴϵ + S_p(pos)=S_p(pos)+area_frac_cell_z; + kcell=(kx(i)*ky(i)*kz(i))^(1/3);%͸ + knei=(kx(nei_grid_z)*ky(nei_grid_z)*kz(nei_grid_z))^(1/3);%Ǹ͸ + added_matnodes=nodes(nei_grid_z,:); + nei_grid_core=mean(coord(added_matnodes,:));%û + % Knnc=2*kcell*Kf(the_frac_cell)/(kcell+Kf(the_frac_cell));%ƽ + % dis_added=norm(nei_grid_core-core_frac_cell); + % T_added=Knnc*area_frac_cell_z/dis_added; + % һַʽ㼸 + dis_added=norm(nei_grid_core-core_frac_cell); + if Kf(the_frac_cell)==0 + T_added=0; + else + % ѷ쵥Ԫ + Geof=Kf(the_frac_cell)*area_frac_cell/(Wf(the_frac_cell)/2); + % ڻѷ쵥Ԫ + Geofnei=knei*area_frac_cell_z/dis_added; + % ûѷ쵥Ԫ + Geofcell=Tinterflow(pos_rao,1); + + T_added=1/(1/Geofnei+1/Geofcell+1/Geof); + % T_added=0;% + % T_added=0.0;% + % T_added=0.0039604;% + end + Nmf_projection=[Nmf_projection;nei_grid_z,the_frac_cell+nmc]; + Tmf_projection=[Tmf_projection;T_added]; + end + + end + end +end +%% ӵĸĽ +im_N=[]; +im_T=[]; +% % % q=length(Kf)+1; +% % % for i=1:(q-1)/2%q-1ѷ쵥Ԫ +% % % for j=(q-1)/2+1:(q-1) +% % % if abs(corevsfra(j,2)-corevsfra(i,2))<=1e-2 +% % % im_N=[im_N;i+nmc,j+nmc]; +% % % % im_T=[im_T;0]; +% % % % im_T=[im_T;0.0039604]; +% % % % im_T=[im_T;(((Kf(i))^(-1)+(1e-3)^(-1)+(1e-3)^(-1)+(Kf(j))^(-1))/4)^(-1)*2*2/0.4]; +% % % im_T=[im_T;(((Kf(i))^(-1)+(1e-3)^(-1)+(1e-3)^(-1)+(Kf(j))^(-1))/4)^(-1)*0.5*2/0.4]; +% % % % +% % % end +% % % end +% % % end +%% ͶӰ䴫 +for i=1:nmm + % Ϊֵûס + if (S_ex(i)-S_p(i))/S_ex(i)<=1e-2 + T(i)=0; + else + T(i)= T(i)*(S_ex(i)-S_p(i))/S_ex(i); + end +end +%% ʵpEDFM⴦ +% % % num_frac = size(frac_information,1)/3; +% % % for i = 1:num_frac +% % % if frac_information(3*i,1) <= (kx(1)*ky(1)*kz(1))^(1/3) +% % % % ѷ˵ +% % % one_end = frac_information(3*i-2,:); +% % % the_other_end = frac_information(3*i-1,:); +% % % % ֮ +% % % for j = 1:size(N,1) +% % % added_matnodes_1=nodes(N(j,1),:); +% % % one_node_connect=mean(coord(added_matnodes_1,:));%û +% % % added_matnodes_2=nodes(N(j,2),:); +% % % the_other_node_connect=mean(coord(added_matnodes_2,:)); +% % % coef_matrix = [ +% % % the_other_end(1)-one_end(1),-(the_other_node_connect(1)-one_node_connect(1)); +% % % the_other_end(2)-one_end(2),-(the_other_node_connect(2)-one_node_connect(2));]; +% % % coef_vector = [one_node_connect(1)-one_end(1);one_node_connect(2)-one_end(2);]; +% % % if abs(det(coef_matrix))<=1e-12 +% % % else +% % % parameters = coef_matrix\coef_vector; +% % % if parameters(1)>=0 && parameters(1)<=1 && parameters(2)>=0 && parameters(2)<=1 +% % % T(j) = (T(j)^-1 + frac_information(3*i,1)^-1)^-1; +% % % end +% % % end +% % % end +% % % end +% % % end +%% ľֱ +N = [N; Nmff+nmc; Nff+nmc;Ninterflow;Nmf_projection;im_N]; +T = [T; Tmff; Tff;Tinterflow;Tmf_projection;im_T]; +% N = [N; Nmff+nmc; Nff+nmc;Ninterflow;Nmf_projection]; +% T = [T; Tmff; Tff;Tinterflow;Tmf_projection]; +nex=size(N,1); +end + + diff --git a/generic extended/connections_PEDFM_EX2_solutions.m b/generic extended/connections_PEDFM_EX2_solutions.m new file mode 100644 index 0000000..bd9ffb3 --- /dev/null +++ b/generic extended/connections_PEDFM_EX2_solutions.m @@ -0,0 +1,707 @@ +function [ matrixvsfra,connectmf,fracnumber,fracstart,corevsfra,connect_infrac,N,T,zf,fcinff,vf,porf,fcff] = connections_PEDFM_EX2_solutions( fracturemesh,pointvsregion,raopoint,f,nf,nx,ny,nz,kx,ky,kz,kf,wf,Porf,dxv,dyv,dzv,coord,nodes,NTG,addflag,frac_information,coordinates) +% úԸѷţ洢ӹϵʣǰĹؼ +% ͬڶάǶʽɢѷģͣάģУѷǶάƽ棬֮ӹϵӣ +%ܼ򵥵ôӻжڣѷزڣڣѷȴһ +%ԭȥȷconnectionsȡ· +%һ:xinkȥк󣬰θijѷţͬʱ洢ѷڵĻ +%ڶ:洢ÿѷ߽磬߽糤ȣĵ꣬ĵ㵽߽ľ룬Ϊ׼ +%:ѷ˳򣬰ձ߽ͬı߽磬ѷڵ +%matrixvsfraаѷŵ +%fracnumberűʾѷţݱʾĵ +%areavsfraűʾѷţݱʾѷ +%ÿһߣȻ˳򷴹һ +%lengthvsfraűʾѷţݱʾѷĸ߳ +%corevsfraűʾѷţݱʾѷ +%disvsfraűʾѷţݱʾѷĵߵľ +matrixvsfra=zeros(nx*ny*nz,10);%Ϊ˼ٸþĴСʵһУһ㲻г10ѷ +fracnumber=zeros(1000,20);%ʵѷһ㲻ᳬ1000Ҳɸʵı +%m=size(xink,1); +rownum=zeros(nf,1); +for i=1:nf + rownum(i)=size(fracturemesh{i,1},1); +end +%% ѷһţӸӦĻ +q=1; +fracstart=zeros(nf+1,1);%ʾܱУÿѷʼĺ +for j=1:nf + fracstart(j)=q; + numofmesh=pointvsregion{j,1}; + for i=1:1:rownum(j) + if(norm(fracturemesh{j,1}(i,:))~=0) + raoindice=size(fracturemesh{j,1}(i,:),2); + fracnumber(q,1:raoindice)=fracturemesh{j,1}(i,:);%qǸѷ + m=floor((i+(2^addflag(j)-1))/(2^addflag(j))); + indice=find(matrixvsfra(numofmesh(m),:)~=0); + % indice=find(matrixvsfra(numofmesh(i),:)~=0); + if (size(indice,2)==0) xiang=1; + else + rao=max(indice'); + xiang=rao(1)+1; + end + matrixvsfra(numofmesh(m),xiang)=q;%ѷŸӦĻ + q=q+1; + end + end +end +fracstart(nf+1)=q;%ѷ+1 +fracnumber(q:1000,:)=[]; + + +%% ѷ쵥ԪĻɸѡ,д +m=size(matrixvsfra,1); +connectmf=cell(1,4); +% for i=1:m +% if (norm(matrixvsfra(i,:))~=0) +% ConnecS = cell(1,4); +cc = 0; +cl = 1; +for i = 1 : m + %ɸѡѷĻ + % if ~isempty(matrixvsfra(i,:)) + if (norm(matrixvsfra(i,:)))~=0 + cc = cc + 1; + %洢û + connectmf{cc,1} = i; + %Щѷ/ѷ쵥Ԫ˳ + A=matrixvsfra(i,:); + A(A==0)=[]; + connectmf{cc,2} =A; + end +end + +%% һѷѷ߽ȵ +% edgevsfra=cell(nf,1); +% +numberFractureCells = q-1; +% +normalvec=zeros(q-1,3);%unit +areavsfra=zeros(q-1,1);%q-1ѷ +lengthvsfra=zeros(q-1,10); +Kf=zeros(q-1,1);%ѷ͸ +Wf=zeros(q-1,1);%ѷ쵥Ԫ +corevsfra=zeros(q-1,3); +disvsfra=zeros(q-1,10); +tran=zeros(q-1,10); +avtran=zeros(q-1,1);%ѷƽںļ򻯼 +fcinff=zeros(q-1,1);%ʾѷ쵥Ԫڵѷ +zf=zeros(q-1,1);%ѷ쵥Ԫ߶ȣ±Ϊ׼ +vf=zeros(q-1,1);%ѷ쵥Ԫ +porf=zeros(q-1,1);%ѷ쵥ԪĿ϶ +for i=1:1:q-1 %ѷв + if(norm(fracnumber(i,:))==0) break; + else + for k=2:(nf+1) + if(i0 + for i=1:(q-1) + [dogindex,~]=find(deindex==i); + if length(dogindex)~=0 + newnum(i)=0; + else + [catindex,~]=find(deindex2)||((size(raoflag,2)<2))) continue;%Ϊ͹ΣֻҪѷĹԪ2йߣ + %2ͬѷΪǣһǰΣìܣ֤ϣСûйеı + else if (a==b) continue; %˵ѷ쵥ԪͬһУ˲Ӧڴ + else + raoconnect(p,q)=k;q=q+1; + lengthcat=norm(d3intersection(raoflag(1),:)-d3intersection(raoflag(2),:));%ѷ쵥Ԫ߳ + rao1k=corevsfra(k,:)-d3intersection(raoflag(1),:); + rao1j=corevsfra(j,:)-d3intersection(raoflag(1),:); + rao2=d3intersection(raoflag(1),:)-d3intersection(raoflag(2),:); + %ֱѷ쵥Ԫĵߵľ + disk=norm(cross(rao1k',rao2'))/norm(rao2); + disj=norm(cross(rao1j',rao2'))/norm(rao2); + if Kf(j)==0 || Kf(k)==0 + hartran=0; + else + tran1=Kf(j)*wf(i)*lengthcat/disk; + tran2=Kf(k)*wf(i)*lengthcat/disj; + % hartran=length/(disk+disj);%ȡƽһ + hartran=tran1*tran2/(tran1+tran2); + end + Nff=[Nff; j,k]; + Tff=[Tff;hartran]; + %ÿѷĵÿߵľ + end + end + p=p+1; + end + connect_infrac{i,1}=raoconnect; + end +end +Nff(1,:)=[]; %ȥһе +Tff(1,:)=[]; +%% ͬһеѷ쵥Ԫʼ +nmc=size(matrixvsfra,1); +Nmff=zeros(1,2); +Tmff=zeros(1,1); +for i=1:nmc + if(norm(matrixvsfra(i,:))~=0) + indice=find(matrixvsfra(i,:)~=0); + n=size(indice,2); + if (n>1) %ʱҪȡļ㷨 + % lengthvsfra(matrixvsfra(i,indice))./disvsfra(matrixvsfra(i,indice)) + for j=1:n-1 + for k=(j+1):n + Nmff=[Nmff;matrixvsfra(i,indice(j)), matrixvsfra(i,indice(k))]; + % ʱļ㷽ʽÿѷƽڸûеѷ쵥Ԫƽ + fc1=matrixvsfra(i,indice(j)); fc2=matrixvsfra(i,indice(k)); + allfc=matrixvsfra(i,1:n); sumtran=sum(fcff{1,7}(allfc)); + if sumtran==0 Tmff=[Tmff; 0]; + else + Tmff=[Tmff; fcff{1,7}(fc1)*fcff{1,7}(fc2)/sumtran]; + end + end + end + end + end +end +Nmff(1,:)=[]; %ȥͷ +Tmff(1,:)=[]; +% N = [N; Nmff+nmc]; +% T = [T; Tmff]; + +%% ϵ +nmc=nx * ny*nz;%Ŀ +nfc=size(fracnumber,1);%ѷ쵥ԪĿ +rpt = [ones(nmc, 1); zeros(nfc, 1)]; +% r.rpt = rpt; +nmm = (nx-1)*ny*nz+(ny-1)*nx*nz+(nz-1)*nx*ny;%nmmǻ֮彻 +% r.nf = nmm + nff;%nffѷ쵥Ԫ֮彻 +S_ex=zeros(nmm,1);% 彻 + +Kx=kx.*ones(nmc,1); +Ky=ky.*ones(nmc,1); +Kz=kz.*ones(nmc,1); +N = zeros(nmm, 2);%洢֮彻 +T = zeros(nmm, 1);%洢ӦNĴϵ +c = 0; +for k= 1 : nz + for j = 1 : ny + for i = 1 : nx - 1 + c = c + 1; + index = i + (j - 1) * nx + (k - 1) * nx * ny; + indexn = index + 1; + N(c, :) = [index, indexn]; + T(c) = 2 * dzv(index)*dyv(index)*Kx(index)*Kx(indexn)*NTG(index)*NTG(indexn)/(Kx(index)*dxv(indexn)*NTG(index) + Kx(indexn)*dxv(index)*NTG(indexn)); + % 2 * dzv(index)*dyv(index)*Kx(index)*Kx(indexn)/(Kx(index)*dxv(indexn) + Kx(indexn)*dxv(index)); + S_ex(c)=dzv(index)*dyv(index); + end + end +end + +for k= 1 : nz + for i = 1 : nx + for j = 1 : ny - 1 + c = c + 1; + index = i + (j - 1) * nx + (k - 1) * nx * ny; + indexn = index + nx; + N(c, :) = [index, indexn]; + T(c) = 2 * dzv(index)*dxv(index)*Ky(index)*Ky(indexn)/(Ky(index)*dyv(indexn) + Ky(indexn)*dyv(index)); + S_ex(c)=dzv(index)*dxv(index); + end + end +end + +for i = 1 : nx + for j = 1 : ny + for k= 1: nz-1 + c = c + 1; + index = i + (j - 1) * nx + (k - 1) * nx * ny; + indexn = index + nx * ny; + N(c, :) = [index, index + nx*ny]; + T(c) = 2 * dxv(index)*dyv(index)*Kz(index)*Kz(indexn)/(Kz(index)*dzv(indexn) + Kz(indexn)*dzv(index)); + S_ex(c)=dxv(index)*dyv(index); + end + end +end + + + + +%% 2014ķΪƵʽ +syms x y z; +Ninterflow=[]; +Tinterflow=[]; +for i=1:nx*ny*nz % + for j=1:10 + if matrixvsfra(i,j)~=0 %this matrix cell contains a fracture cell + Ninterflow=[Ninterflow;i,matrixvsfra(i,j)+nmc]; + kcell=(kx(i)*ky(i)*kz(i))^(1/3); + Knnc=kcell*Kf(matrixvsfra(i,j))/(kcell+Kf(matrixvsfra(i,j))); + Annc=areavsfra(matrixvsfra(i,j));% ˴ԭʼǶʽһԭʼ + fracore=corevsfra(matrixvsfra(i,j),:); + matnodes=nodes(i,:); + verco=coord(matnodes,:);norvec=normalvec(matrixvsfra(i,j),:); + matcore=mean(verco);d0=matcore-fracore; + dn=(x+d0(1))*norvec(1)+(y+d0(2))*norvec(2)+(z+d0(3))*norvec(3); + % dn=abs(dn);%ӰֵЧ + dn=sqrt(dn^2); + dn=matlabFunction(dn); + if norvec(1)~=0 && norvec(2)~=0 && norvec(3)~=0 + Dn=integral3(dn,-dxv(i)/2,dxv(i)/2,-dyv(i)/2,dyv(i)/2,-dzv(i)*NTG(i)/2,dzv(i)*NTG(i)/2)/(dxv(i)*dyv(i)*dzv(i)*NTG(i)); + else if norvec(1)~=0 && norvec(2)~=0 + Dn=dzv(i)*NTG(i)*integral2(dn,-dxv(i)/2,dxv(i)/2,-dyv(i)/2,dyv(i)/2)/(dxv(i)*dyv(i)*dzv(i)*NTG(i)); + else if norvec(1)~=0 && norvec(3)~=0 + Dn=dyv(i)*integral2(dn,-dxv(i)/2,dxv(i)/2,-dzv(i)*NTG(i)/2,dzv(i)*NTG(i)/2)/(dxv(i)*dyv(i)*dzv(i)*NTG(i)); + else if norvec(2)~=0 && norvec(3)~=0 + Dn=dxv(i)*integral2(dn,-dyv(i)/2,dyv(i)/2,-dzv(i)*NTG(i)/2,dzv(i)*NTG(i)/2)/(dxv(i)*dyv(i)*dzv(i)*NTG(i)); + else if norvec(1)~=0 + Dn=dyv(i)*dzv(i)*NTG(i)*integral(dn,-dxv(i)/2,dxv(i)/2)/(dxv(i)*dyv(i)*dzv(i)*NTG(i)); + else if norvec(2)~=0 + Dn=dxv(i)*dzv(i)*NTG(i)*integral(dn,-dyv(i)/2,dyv(i)/2)/(dxv(i)*dyv(i)*dzv(i)*NTG(i)); + else if norvec(3)~=0 + Dn=dxv(i)*dyv(i)*integral(dn,-dzv(i)*NTG(i)/2,dzv(i)*NTG(i)/2)/(dxv(i)*dyv(i)*dzv(i)*NTG(i)); + end + end + end + end + end + end + end + % Ϊ޸ + % Dn=0.9; + % Dn=2.5; + raoT=Knnc*Annc/Dn; + Tinterflow=[Tinterflow;raoT]; + end + end +end + +%% ͶӰǶʽ +nmc=size(matrixvsfra,1); +%彻ϵѷ쵥ԪͶӰ֮ +S_p=zeros(nmm,1); +% ΪͶӰ¼ӵF-M connections +Nmf_projection=[]; +Tmf_projection=[]; +for i=1:nmc + matnodes=nodes(i,:); + dx_grid=dxv(i); + dy_grid=dyv(i); + dz_grid=dzv(i); + grid_core=mean(coord(matnodes,:));%û + if(norm(matrixvsfra(i,:))~=0) + indice=find(matrixvsfra(i,:)~=0); + n=size(indice,2); + if (n>=1) %Ƚn=1ʱ + selected_face=zeros(1,3); + the_frac_cell=matrixvsfra(i,indice);%ѷ쵥Ԫ + % if Kf(the_frac_cell) <= (kx(i)*ky(i)*kz(i))^(1/3);% + % else + which_frac=fcff{1,2}(the_frac_cell,1);%ѷ쵥Ԫڵѷ + core_frac_cell=fcff{1,4}(the_frac_cell,1:3);%ѷ쵥Ԫ + area_frac_cell=fcff{1,8}(the_frac_cell,1);%ѷ쵥Ԫ + rao_struct=[i,the_frac_cell+nmc]; + pos_rao=find_row(rao_struct,Ninterflow); + %ѷ淨 + D_value=core_frac_cell-grid_core;% OF + vector_1=f(5*which_frac-3,:); + vector_2=f(5*which_frac-2,:); + n_vector_1=cross(vector_1,vector_2); + n_vector_2=-cross(vector_1,vector_2); + if (dot(n_vector_1,D_value))>=0 + n_vector=n_vector_1; + else + n_vector=n_vector_2; + end + % ͶӰ + area_frac_cell_x=abs(area_frac_cell*dot([1,0,0],n_vector)/norm(n_vector)); + area_frac_cell_y=abs(area_frac_cell*dot([0,1,0],n_vector)/norm(n_vector)); + area_frac_cell_z=abs(area_frac_cell*dot([0,0,1],n_vector)/norm(n_vector)); + %% ----------------------% fractureCellTypeѡȡͶӰ-------------------------------------- + % selected_face(1)=4; nei_grid_x=i+1; + % selected_face(2)=5; nei_grid_y=i+nx; + % selected_face(3)=6;nei_grid_z=i+nx*ny; + %% ͣ 12 13 14 + fractureCellType = zeros(numberFractureCells,1); + theNumber = 2; + fractureCellType = repmat((1:theNumber)',numberFractureCells/theNumber,1); + %% ѡַ + selectedMethod = 2; + %% when number = 2 + if theNumber == 2 + % method 1 + if selectedMethod == 1 + if fractureCellType(the_frac_cell) == 1 + nei_grid_x=i-1;nei_grid_y=i-nx;nei_grid_z=i+nx*ny; + end + if fractureCellType(the_frac_cell) == 2 + nei_grid_x=i+1;nei_grid_y=i+nx;nei_grid_z=i+nx*ny; + end + struc_x=[i,nei_grid_x]; + struc_y=[i,nei_grid_y]; + struc_z=[i,nei_grid_z]; + end + % method 2 + if selectedMethod == 2 + if fractureCellType(the_frac_cell) == 1 + nei_grid_x=i-1;nei_grid_y=i+nx;nei_grid_z=i+nx*ny; + end + if fractureCellType(the_frac_cell) == 2 + nei_grid_x=i+1;nei_grid_y=i-nx;nei_grid_z=i+nx*ny; + end + struc_x=[i,nei_grid_x]; + struc_y=[i,nei_grid_y]; + struc_z=[i,nei_grid_z]; + end + end + %% when number = 3 + if theNumber == 3 + % method 1 + if selectedMethod == 1 + if fractureCellType(the_frac_cell) == 1 + nei_grid_x=i-1;nei_grid_y=i+nx;nei_grid_z=i+nx*ny; + end + if fractureCellType(the_frac_cell) == 2 + nei_grid_x=i-1;nei_grid_y=i+nx;nei_grid_z=i+nx*ny; + end + if fractureCellType(the_frac_cell) == 3 + nei_grid_x=i+1;nei_grid_y=i-nx;nei_grid_z=i+nx*ny; + end + struc_x=[i,nei_grid_x]; + struc_y=[i,nei_grid_y]; + struc_z=[i,nei_grid_z]; + end + % method 2 + if selectedMethod == 2 + if fractureCellType(the_frac_cell) == 1 + nei_grid_x=i-1;nei_grid_y=i+nx;nei_grid_z=i+nx*ny; + struc_x=[i,nei_grid_x]; + struc_y=[i,i];% ൱û + struc_z=[i,nei_grid_z]; + end + if fractureCellType(the_frac_cell) == 2 + nei_grid_x=i-1;nei_grid_y=i+nx;nei_grid_z=i+nx*ny; + struc_x=[i,nei_grid_x]; + struc_y=[i,nei_grid_y];area_frac_cell_y = area_frac_cell_y*2;% fractureCellType(the_frac_cell) == 1ʱarea_frac_cell_y + struc_z=[i,nei_grid_z]; + end + if fractureCellType(the_frac_cell) == 3 + nei_grid_x=i+1;nei_grid_y=i-nx;nei_grid_z=i+nx*ny; + struc_x=[i,nei_grid_x]; + struc_y=[i,nei_grid_y]; + struc_z=[i,nei_grid_z]; + end + end + end + %% when number = 4 + if theNumber == 4 + % method 1 + if selectedMethod == 1 + if fractureCellType(the_frac_cell) == 1 + nei_grid_x=i-1;nei_grid_y=i+nx;nei_grid_z=i+nx*ny; + end + if fractureCellType(the_frac_cell) == 2 + nei_grid_x=i-1;nei_grid_y=i+nx;nei_grid_z=i+nx*ny; + end + if fractureCellType(the_frac_cell) == 3 + nei_grid_x=i+1;nei_grid_y=i-nx;nei_grid_z=i+nx*ny; + end + if fractureCellType(the_frac_cell) == 4 + nei_grid_x=i+1;nei_grid_y=i-nx;nei_grid_z=i+nx*ny; + end + struc_x=[i,nei_grid_x]; + struc_y=[i,nei_grid_y]; + struc_z=[i,nei_grid_z]; + end + % method 2 + if selectedMethod == 2 + if fractureCellType(the_frac_cell) == 1 + nei_grid_x=i-1;nei_grid_y=i+nx;nei_grid_z=i+nx*ny; + struc_x=[i,nei_grid_x]; + struc_y=[i,i]; + struc_z=[i,nei_grid_z]; + end + if fractureCellType(the_frac_cell) == 2 + nei_grid_x=i-1;nei_grid_y=i+nx;nei_grid_z=i+nx*ny; + struc_x=[i,nei_grid_x]; + struc_y=[i,nei_grid_y];area_frac_cell_y = area_frac_cell_y*2; + struc_z=[i,nei_grid_z]; + end + if fractureCellType(the_frac_cell) == 3 + nei_grid_x=i+1;nei_grid_y=i-nx;nei_grid_z=i+nx*ny; + struc_x=[i,nei_grid_x]; + struc_y=[i,nei_grid_y];area_frac_cell_y = area_frac_cell_y*2; + struc_z=[i,nei_grid_z]; + end + if fractureCellType(the_frac_cell) == 4 + nei_grid_x=i+1;nei_grid_y=i-nx;nei_grid_z=i+nx*ny; + struc_x=[i,nei_grid_x]; + struc_y=[i,i]; + struc_z=[i,nei_grid_z]; + end + end + end + %% ----------------------% ͶӰӼʼ--------------------------------------------------------------- + %% x direction +% struc_x=[i,nei_grid_x]; + pos=find_row(struc_x,N); + if size(pos,1)==1 %˵ҪĴϵ + S_p(pos)=S_p(pos)+area_frac_cell_x; + kcell=(kx(i)*ky(i)*kz(i))^(1/3);%͸ + knei=(kx(nei_grid_x)*ky(nei_grid_x)*kz(nei_grid_x))^(1/3);%Ǹ͸ + added_matnodes=nodes(nei_grid_x,:); + nei_grid_core=mean(coord(added_matnodes,:));%û + % Knnc=2*kcell*Kf(the_frac_cell)/(kcell+Kf(the_frac_cell));%ƽ + % dis_added=norm(nei_grid_core-core_frac_cell); + % T_added=Knnc*area_frac_cell_x/dis_added; + % һַʽ㼸 + dis_added=norm(nei_grid_core-core_frac_cell); + if Kf(the_frac_cell)==0 + T_added=0; + else + % ѷ쵥Ԫ + Geof=Kf(the_frac_cell)*area_frac_cell/(Wf(the_frac_cell)/2); + % ڻѷ쵥Ԫ + Geofnei=knei*area_frac_cell_x/dis_added; + % ûѷ쵥Ԫ + Geofcell=Tinterflow(pos_rao,1); + + T_added=1/(1/Geofnei+1/Geofcell+1/Geof); + % T_added=0;% + % T_added=0;% + % T_added=0.0039604;% + end + Nmf_projection=[Nmf_projection;nei_grid_x,the_frac_cell+nmc]; + Tmf_projection=[Tmf_projection;T_added]; + end + %% y direction +% struc_y=[i,nei_grid_y]; + pos=find_row(struc_y,N); + if size(pos,1)==1 %˵ҪĴϵ + S_p(pos)=S_p(pos)+area_frac_cell_y; + kcell=(kx(i)*ky(i)*kz(i))^(1/3);%͸ + knei=(kx(nei_grid_y)*ky(nei_grid_y)*kz(nei_grid_y))^(1/3);%Ǹ͸ + added_matnodes=nodes(nei_grid_y,:); + nei_grid_core=mean(coord(added_matnodes,:));%û + % Knnc=2*kcell*Kf(the_frac_cell)/(kcell+Kf(the_frac_cell));%ƽ + % dis_added=norm(nei_grid_core-core_frac_cell); + % T_added=Knnc*area_frac_cell_y/dis_added; + % һַʽ㼸 + dis_added=norm(nei_grid_core-core_frac_cell); + if Kf(the_frac_cell)==0 + T_added=0; + else + % ѷ쵥Ԫ + Geof=Kf(the_frac_cell)*area_frac_cell/(Wf(the_frac_cell)/2); + % ڻѷ쵥Ԫ + Geofnei=knei*area_frac_cell_y/dis_added; + % ûѷ쵥Ԫ + Geofcell=Tinterflow(pos_rao,1); + + T_added=1/(1/Geofnei+1/Geofcell+1/Geof); + % T_added=0;% + % T_added=0.002;% + % T_added=0.0039604;% + end + Nmf_projection=[Nmf_projection;nei_grid_y,the_frac_cell+nmc]; + Tmf_projection=[Tmf_projection;T_added]; + end + + %% z direction +% struc_z=[i,nei_grid_z]; + pos=find_row(struc_z,N); + if size(pos,1)==1 %˵ҪĴϵ + S_p(pos)=S_p(pos)+area_frac_cell_z; + kcell=(kx(i)*ky(i)*kz(i))^(1/3);%͸ + knei=(kx(nei_grid_z)*ky(nei_grid_z)*kz(nei_grid_z))^(1/3);%Ǹ͸ + added_matnodes=nodes(nei_grid_z,:); + nei_grid_core=mean(coord(added_matnodes,:));%û + % Knnc=2*kcell*Kf(the_frac_cell)/(kcell+Kf(the_frac_cell));%ƽ + % dis_added=norm(nei_grid_core-core_frac_cell); + % T_added=Knnc*area_frac_cell_z/dis_added; + % һַʽ㼸 + dis_added=norm(nei_grid_core-core_frac_cell); + if Kf(the_frac_cell)==0 + T_added=0; + else + % ѷ쵥Ԫ + Geof=Kf(the_frac_cell)*area_frac_cell/(Wf(the_frac_cell)/2); + % ڻѷ쵥Ԫ + Geofnei=knei*area_frac_cell_z/dis_added; + % ûѷ쵥Ԫ + Geofcell=Tinterflow(pos_rao,1); + + T_added=1/(1/Geofnei+1/Geofcell+1/Geof); + % T_added=0;% + % T_added=0.0;% + % T_added=0.0039604;% + end + Nmf_projection=[Nmf_projection;nei_grid_z,the_frac_cell+nmc]; + Tmf_projection=[Tmf_projection;T_added]; + end + + end + end +end +%% ӵĸĽ +im_N=[]; +im_T=[]; +% % % q=length(Kf)+1; +% % % for i=1:(q-1)/2%q-1ѷ쵥Ԫ +% % % for j=(q-1)/2+1:(q-1) +% % % if abs(corevsfra(j,2)-corevsfra(i,2))<=1e-2 +% % % im_N=[im_N;i+nmc,j+nmc]; +% % % % im_T=[im_T;0]; +% % % % im_T=[im_T;0.0039604]; +% % % % im_T=[im_T;(((Kf(i))^(-1)+(1e-3)^(-1)+(1e-3)^(-1)+(Kf(j))^(-1))/4)^(-1)*2*2/0.4]; +% % % im_T=[im_T;(((Kf(i))^(-1)+(1e-3)^(-1)+(1e-3)^(-1)+(Kf(j))^(-1))/4)^(-1)*0.5*2/0.4]; +% % % % +% % % end +% % % end +% % % end +%% ͶӰ䴫 +for i=1:nmm + % Ϊֵûס + if (S_ex(i)-S_p(i))/S_ex(i)<=1e-2 + T(i)=0; + else + T(i)= T(i)*(S_ex(i)-S_p(i))/S_ex(i); + end +end +%% ʵpEDFM⴦ +% % % num_frac = size(frac_information,1)/3; +% % % for i = 1:num_frac +% % % if frac_information(3*i,1) <= (kx(1)*ky(1)*kz(1))^(1/3) +% % % % ѷ˵ +% % % one_end = frac_information(3*i-2,:); +% % % the_other_end = frac_information(3*i-1,:); +% % % % ֮ +% % % for j = 1:size(N,1) +% % % added_matnodes_1=nodes(N(j,1),:); +% % % one_node_connect=mean(coord(added_matnodes_1,:));%û +% % % added_matnodes_2=nodes(N(j,2),:); +% % % the_other_node_connect=mean(coord(added_matnodes_2,:)); +% % % coef_matrix = [ +% % % the_other_end(1)-one_end(1),-(the_other_node_connect(1)-one_node_connect(1)); +% % % the_other_end(2)-one_end(2),-(the_other_node_connect(2)-one_node_connect(2));]; +% % % coef_vector = [one_node_connect(1)-one_end(1);one_node_connect(2)-one_end(2);]; +% % % if abs(det(coef_matrix))<=1e-12 +% % % else +% % % parameters = coef_matrix\coef_vector; +% % % if parameters(1)>=0 && parameters(1)<=1 && parameters(2)>=0 && parameters(2)<=1 +% % % T(j) = (T(j)^-1 + frac_information(3*i,1)^-1)^-1; +% % % end +% % % end +% % % end +% % % end +% % % end +%% ľֱ +N = [N; Nmff+nmc; Nff+nmc;Ninterflow;Nmf_projection;im_N]; +T = [T; Tmff; Tff;Tinterflow;Tmf_projection;im_T]; +% N = [N; Nmff+nmc; Nff+nmc;Ninterflow;Nmf_projection]; +% T = [T; Tmff; Tff;Tinterflow;Tmf_projection]; +nex=size(N,1); +end + + diff --git a/generic extended/connections_PEDFM_new.m b/generic extended/connections_PEDFM_new.m new file mode 100644 index 0000000..1e3bbab --- /dev/null +++ b/generic extended/connections_PEDFM_new.m @@ -0,0 +1,735 @@ +function [ matrixvsfra,connectmf,fracnumber,fracstart,corevsfra,connect_infrac,N,T,zf,fcinff,vf,porf,fcff] = connections_PEDFM_new( fracturemesh,pointvsregion,raopoint,f,nf,nx,ny,nz,kx,ky,kz,kf,wf,Porf,dxv,dyv,dzv,coord,nodes,NTG,addflag,frac_information,coordinates) +% úԸѷţ洢ӹϵʣǰĹؼ +% ͬڶάǶʽɢѷģͣάģУѷǶάƽ棬֮ӹϵӣ +%ܼ򵥵ôӻжڣѷزڣڣѷȴһ +%ԭȥȷconnectionsȡ· +%һ:xinkȥк󣬰θijѷţͬʱ洢ѷڵĻ +%ڶ:洢ÿѷ߽磬߽糤ȣĵ꣬ĵ㵽߽ľ룬Ϊ׼ +%:ѷ˳򣬰ձ߽ͬı߽磬ѷڵ +%matrixvsfraаѷŵ +%fracnumberűʾѷţݱʾĵ +%areavsfraűʾѷţݱʾѷ +%ÿһߣȻ˳򷴹һ +%lengthvsfraűʾѷţݱʾѷĸ߳ +%corevsfraűʾѷţݱʾѷ +%disvsfraűʾѷţݱʾѷĵߵľ +matrixvsfra=zeros(nx*ny*nz,10);%Ϊ˼ٸþĴСʵһУһ㲻г10ѷ +fracnumber=zeros(1000,20);%ʵѷһ㲻ᳬ1000Ҳɸʵı +%m=size(xink,1); +rownum=zeros(nf,1); +for i=1:nf +rownum(i)=size(fracturemesh{i,1},1); +end +%% ѷһţӸӦĻ +q=1; +fracstart=zeros(nf+1,1);%ʾܱУÿѷʼĺ +for j=1:nf + fracstart(j)=q; + numofmesh=pointvsregion{j,1}; +for i=1:1:rownum(j) + if(norm(fracturemesh{j,1}(i,:))~=0) + raoindice=size(fracturemesh{j,1}(i,:),2); + fracnumber(q,1:raoindice)=fracturemesh{j,1}(i,:);%qǸѷ + m=floor((i+(2^addflag(j)-1))/(2^addflag(j))); + indice=find(matrixvsfra(numofmesh(m),:)~=0); +% indice=find(matrixvsfra(numofmesh(i),:)~=0); + if (size(indice,2)==0) xiang=1; + else + rao=max(indice'); + xiang=rao(1)+1; + end + matrixvsfra(numofmesh(m),xiang)=q;%ѷŸӦĻ + q=q+1; + end +end +end +fracstart(nf+1)=q;%ѷ+1 +fracnumber(q:1000,:)=[]; + + +%% ѷ쵥ԪĻɸѡ,д +m=size(matrixvsfra,1); +connectmf=cell(1,4); +% for i=1:m +% if (norm(matrixvsfra(i,:))~=0) +% ConnecS = cell(1,4); +cc = 0; +cl = 1; +for i = 1 : m + %ɸѡѷĻ +% if ~isempty(matrixvsfra(i,:)) + if (norm(matrixvsfra(i,:)))~=0 + cc = cc + 1; + %洢û + connectmf{cc,1} = i; + %Щѷ/ѷ쵥Ԫ˳ + A=matrixvsfra(i,:); + A(A==0)=[]; + connectmf{cc,2} =A; +end +end + +%% һѷѷ߽ȵ +% edgevsfra=cell(nf,1); +normalvec=zeros(q-1,3);%unit +areavsfra=zeros(q-1,1);%q-1ѷ +lengthvsfra=zeros(q-1,10); +Kf=zeros(q-1,1);%ѷ͸ +Wf=zeros(q-1,1);%ѷ쵥Ԫ +corevsfra=zeros(q-1,3); +disvsfra=zeros(q-1,10); +tran=zeros(q-1,10); +avtran=zeros(q-1,1);%ѷƽںļ򻯼 +fcinff=zeros(q-1,1);%ʾѷ쵥Ԫڵѷ +zf=zeros(q-1,1);%ѷ쵥Ԫ߶ȣ±Ϊ׼ +vf=zeros(q-1,1);%ѷ쵥Ԫ +porf=zeros(q-1,1);%ѷ쵥ԪĿ϶ +for i=1:1:q-1 %ѷв + if i == 41 + flag = 1; + end + if(norm(fracnumber(i,:))==0) break; + else + for k=2:(nf+1) + if(i0 +for i=1:(q-1) + [dogindex,~]=find(deindex==i); + if length(dogindex)~=0 + newnum(i)=0; + else + [catindex,~]=find(deindex2)||((size(raoflag,2)<2))) continue;%Ϊ͹ΣֻҪѷĹԪ2йߣ + %2ͬѷΪǣһǰΣìܣ֤ϣСûйеı + else if (a==b) continue; %˵ѷ쵥ԪͬһУ˲Ӧڴ + else + raoconnect(p,q)=k;q=q+1; + lengthcat=norm(d3intersection(raoflag(1),:)-d3intersection(raoflag(2),:));%ѷ쵥Ԫ߳ + rao1k=corevsfra(k,:)-d3intersection(raoflag(1),:); + rao1j=corevsfra(j,:)-d3intersection(raoflag(1),:); + rao2=d3intersection(raoflag(1),:)-d3intersection(raoflag(2),:); + %ֱѷ쵥Ԫĵߵľ + disk=norm(cross(rao1k',rao2'))/norm(rao2); + disj=norm(cross(rao1j',rao2'))/norm(rao2); + if Kf(j)==0 || Kf(k)==0 + hartran=0; + else + tran1=Kf(j)*wf(i)*lengthcat/disk; + tran2=Kf(k)*wf(i)*lengthcat/disj; +% hartran=length/(disk+disj);%ȡƽһ + hartran=tran1*tran2/(tran1+tran2); + end + Nff=[Nff; j,k]; + Tff=[Tff;hartran]; + %ÿѷĵÿߵľ + end + end + p=p+1; + end + connect_infrac{i,1}=raoconnect; + end +end +Nff(1,:)=[]; %ȥһе +Tff(1,:)=[]; +%% ͬһеѷ쵥Ԫʼ +nmc=size(matrixvsfra,1); +Nmff=zeros(1,2); +Tmff=zeros(1,1); +for i=1:nmc + if(norm(matrixvsfra(i,:))~=0) + indice=find(matrixvsfra(i,:)~=0); + n=size(indice,2); + if (n>1) %ʱҪȡļ㷨 +% lengthvsfra(matrixvsfra(i,indice))./disvsfra(matrixvsfra(i,indice)) + for j=1:n-1 + for k=(j+1):n + Nmff=[Nmff;matrixvsfra(i,indice(j)), matrixvsfra(i,indice(k))]; + % ʱļ㷽ʽÿѷƽڸûеѷ쵥Ԫƽ + fc1=matrixvsfra(i,indice(j)); fc2=matrixvsfra(i,indice(k)); + allfc=matrixvsfra(i,1:n); sumtran=sum(fcff{1,7}(allfc)); + if sumtran==0 Tmff=[Tmff; 0]; + else + Tmff=[Tmff; fcff{1,7}(fc1)*fcff{1,7}(fc2)/sumtran]; + end + end + end + end + end +end +Nmff(1,:)=[]; %ȥͷ +Tmff(1,:)=[]; +% N = [N; Nmff+nmc]; +% T = [T; Tmff]; + +%% ϵ +nmc=nx * ny*nz;%Ŀ +nfc=size(fracnumber,1);%ѷ쵥ԪĿ +rpt = [ones(nmc, 1); zeros(nfc, 1)]; +% r.rpt = rpt; +nmm = (nx-1)*ny*nz+(ny-1)*nx*nz+(nz-1)*nx*ny;%nmmǻ֮彻 +% r.nf = nmm + nff;%nffѷ쵥Ԫ֮彻 +S_ex=zeros(nmm,1);% 彻 + +Kx=kx.*ones(nmc,1); +Ky=ky.*ones(nmc,1); +Kz=kz.*ones(nmc,1); +N = zeros(nmm, 2);%洢֮彻 +T = zeros(nmm, 1);%洢ӦNĴϵ +c = 0; +for k= 1 : nz +for j = 1 : ny + for i = 1 : nx - 1 + c = c + 1; + index = i + (j - 1) * nx + (k - 1) * nx * ny; + indexn = index + 1; + N(c, :) = [index, indexn]; + T(c) = 2 * dzv(index)*dyv(index)*Kx(index)*Kx(indexn)*NTG(index)*NTG(indexn)/(Kx(index)*dxv(indexn)*NTG(index) + Kx(indexn)*dxv(index)*NTG(indexn)); +% 2 * dzv(index)*dyv(index)*Kx(index)*Kx(indexn)/(Kx(index)*dxv(indexn) + Kx(indexn)*dxv(index)); + S_ex(c)=dzv(index)*dyv(index); + end +end +end + +for k= 1 : nz +for i = 1 : nx + for j = 1 : ny - 1 + c = c + 1; + index = i + (j - 1) * nx + (k - 1) * nx * ny; + indexn = index + nx; + N(c, :) = [index, indexn]; + T(c) = 2 * dzv(index)*dxv(index)*Ky(index)*Ky(indexn)/(Ky(index)*dyv(indexn) + Ky(indexn)*dyv(index)); + S_ex(c)=dzv(index)*dxv(index); + end +end +end + +for i = 1 : nx +for j = 1 : ny + for k= 1: nz-1 + c = c + 1; + index = i + (j - 1) * nx + (k - 1) * nx * ny; + indexn = index + nx * ny; + N(c, :) = [index, index + nx*ny]; + T(c) = 2 * dxv(index)*dyv(index)*Kz(index)*Kz(indexn)/(Kz(index)*dzv(indexn) + Kz(indexn)*dzv(index)); + S_ex(c)=dxv(index)*dyv(index); + end +end +end + + + + +%% 2014ķΪƵʽ +syms x y z; +Ninterflow=[]; +Tinterflow=[]; +for i=1:nx*ny*nz % + for j=1:10 + if matrixvsfra(i,j)~=0 %this matrix cell contains a fracture cell + Ninterflow=[Ninterflow;i,matrixvsfra(i,j)+nmc]; + kcell=(kx(i)*ky(i)*kz(i))^(1/3); + Knnc=kcell*Kf(matrixvsfra(i,j))/(kcell+Kf(matrixvsfra(i,j))); + Annc=areavsfra(matrixvsfra(i,j));% ˴ԭʼǶʽһԭʼ + fracore=corevsfra(matrixvsfra(i,j),:); + matnodes=nodes(i,:); + verco=coord(matnodes,:);norvec=normalvec(matrixvsfra(i,j),:); + matcore=mean(verco);d0=matcore-fracore; + dn=(x+d0(1))*norvec(1)+(y+d0(2))*norvec(2)+(z+d0(3))*norvec(3); +% dn=abs(dn);%ӰֵЧ + dn=sqrt(dn^2); + dn=matlabFunction(dn); + if norvec(1)~=0 && norvec(2)~=0 && norvec(3)~=0 + Dn=integral3(dn,-dxv(i)/2,dxv(i)/2,-dyv(i)/2,dyv(i)/2,-dzv(i)*NTG(i)/2,dzv(i)*NTG(i)/2)/(dxv(i)*dyv(i)*dzv(i)*NTG(i)); + else if norvec(1)~=0 && norvec(2)~=0 + Dn=dzv(i)*NTG(i)*integral2(dn,-dxv(i)/2,dxv(i)/2,-dyv(i)/2,dyv(i)/2)/(dxv(i)*dyv(i)*dzv(i)*NTG(i)); + else if norvec(1)~=0 && norvec(3)~=0 + Dn=dyv(i)*integral2(dn,-dxv(i)/2,dxv(i)/2,-dzv(i)*NTG(i)/2,dzv(i)*NTG(i)/2)/(dxv(i)*dyv(i)*dzv(i)*NTG(i)); + else if norvec(2)~=0 && norvec(3)~=0 + Dn=dxv(i)*integral2(dn,-dyv(i)/2,dyv(i)/2,-dzv(i)*NTG(i)/2,dzv(i)*NTG(i)/2)/(dxv(i)*dyv(i)*dzv(i)*NTG(i)); + else if norvec(1)~=0 + Dn=dyv(i)*dzv(i)*NTG(i)*integral(dn,-dxv(i)/2,dxv(i)/2)/(dxv(i)*dyv(i)*dzv(i)*NTG(i)); + else if norvec(2)~=0 + Dn=dxv(i)*dzv(i)*NTG(i)*integral(dn,-dyv(i)/2,dyv(i)/2)/(dxv(i)*dyv(i)*dzv(i)*NTG(i)); + else if norvec(3)~=0 + Dn=dxv(i)*dyv(i)*integral(dn,-dzv(i)*NTG(i)/2,dzv(i)*NTG(i)/2)/(dxv(i)*dyv(i)*dzv(i)*NTG(i)); + end + end + end + end + end + end + end + % Ϊ޸ +% Dn=0.9; +% Dn=2.5; + % raoT=Knnc*Annc/Dn; + raoT1 = kcell*Annc/Dn; + raoT2 = Kf(matrixvsfra(i,j))*Annc/(Wf(matrixvsfra(i,j))/2); + raoT = (raoT1^-1+raoT2^-1)^-1; + Tinterflow=[Tinterflow;raoT]; + end + end +end + +%% ͶӰǶʽ +nmc=size(matrixvsfra,1); +%彻ϵѷ쵥ԪͶӰ֮ +S_p=zeros(nmm,1); +% ΪͶӰ¼ӵF-M connections +Nmf_projection=[]; +Tmf_projection=[]; +for i=1:nmc + matnodes=nodes(i,:); + dx_grid=dxv(i); + dy_grid=dyv(i); + dz_grid=dzv(i); + grid_core=mean(coord(matnodes,:));%û + if(norm(matrixvsfra(i,:))~=0) + indice=find(matrixvsfra(i,:)~=0); + n=size(indice,2); + if (n==1) %Ƚn=1ʱ + selected_face=zeros(1,3); + the_frac_cell=matrixvsfra(i,indice);%ѷ쵥Ԫ +% if Kf(the_frac_cell) <= (kx(i)*ky(i)*kz(i))^(1/3);% +% else + which_frac=fcff{1,2}(the_frac_cell,1);%ѷ쵥Ԫڵѷ + core_frac_cell=fcff{1,4}(the_frac_cell,1:3);%ѷ쵥Ԫ + area_frac_cell=fcff{1,8}(the_frac_cell,1);%ѷ쵥Ԫ + rao_struct=[i,the_frac_cell+nmc]; + pos_rao=find_row(rao_struct,Ninterflow); + D_value=core_frac_cell-grid_core;% OF + vector_1=f(5*which_frac-3,:); + vector_2=f(5*which_frac-2,:); + n_vector_1=cross(vector_1,vector_2); + n_vector_2=-cross(vector_1,vector_2); + if (dot(n_vector_1,D_value))>=0 + n_vector=n_vector_1; + else + n_vector=n_vector_2; + end + %ѷ淨 + % xͶӰ + area_frac_cell_x=abs(area_frac_cell*dot([1,0,0],n_vector)/norm(n_vector)); + area_frac_cell_y=abs(area_frac_cell*dot([0,1,0],n_vector)/norm(n_vector)); + area_frac_cell_z=abs(area_frac_cell*dot([0,0,1],n_vector)/norm(n_vector)); +% %% Ϊvalid case޸ +% area_frac_cell_x=10*10; +% area_frac_cell_y=10*10; +% area_frac_cell_z=10*10; + %ѷط΢СƽƣʱٰվԭжϣԱ֤õ + new_core=core_frac_cell+1e-6*n_vector; + % ѷ쵥Ԫڻĵʸ + %x direction + D_value_new=new_core-grid_core; + if D_value_new(1)<=0 + selected_face(1)=3;nei_grid_x=i-1; + else selected_face(1)=4; nei_grid_x=i+1; + end +%% ----------------------% ΪʵpEDFMΪӴ-------------------------------------- + % ΪʵpEDFMΪӴ +% selected_face(1)=4; nei_grid_x=i+1; +%% ----------------------% Ϊ--------------------------------------------------------------- + struc_x=[i,nei_grid_x]; + pos=find_row(struc_x,N); + if size(pos,1)==1 %˵ҪĴϵ + S_p(pos)=S_p(pos)+area_frac_cell_x; + kcell=(kx(i)*ky(i)*kz(i))^(1/3);%͸ + knei=(kx(nei_grid_x)*ky(nei_grid_x)*kz(nei_grid_x))^(1/3);%Ǹ͸ + added_matnodes=nodes(nei_grid_x,:); + nei_grid_core=mean(coord(added_matnodes,:));%û +% Knnc=2*kcell*Kf(the_frac_cell)/(kcell+Kf(the_frac_cell));%ƽ +% dis_added=norm(nei_grid_core-core_frac_cell); +% T_added=Knnc*area_frac_cell_x/dis_added; + % һַʽ㼸 + dis_added=norm(nei_grid_core-core_frac_cell); + if Kf(the_frac_cell)==0 + T_added=0; + else + % ѷ쵥Ԫ + Geof=Kf(the_frac_cell)*area_frac_cell/(Wf(the_frac_cell)/2); + % ڻѷ쵥Ԫ + Geofnei=knei*area_frac_cell_x/dis_added; + % ûѷ쵥Ԫ + Geofcell=Tinterflow(pos_rao,1); + + T_added=1/(1/Geofnei+1/Geofcell+1/Geof); + % T_added=0;% +% T_added=0;% +% T_added=0.0039604;% + end + Nmf_projection=[Nmf_projection;nei_grid_x,the_frac_cell+nmc]; + Tmf_projection=[Tmf_projection;T_added]; + end + + %y direction + if D_value_new(2)<=0 + selected_face(2)=2;nei_grid_y=i-nx; + else selected_face(2)=5;nei_grid_y=i+nx; + end +%% ----------------------% ΪʵpEDFMΪӴ-------------------------------------- + % ΪʵpEDFMΪӴ +% selected_face(2)=5; nei_grid_y=i+nx; +%% ----------------------% Ϊ--------------------------------------------------------------- + struc_y=[i,nei_grid_y]; + pos=find_row(struc_y,N); + if size(pos,1)==1 %˵ҪĴϵ + S_p(pos)=S_p(pos)+area_frac_cell_y; + kcell=(kx(i)*ky(i)*kz(i))^(1/3);%͸ + knei=(kx(nei_grid_y)*ky(nei_grid_y)*kz(nei_grid_y))^(1/3);%Ǹ͸ + added_matnodes=nodes(nei_grid_y,:); + nei_grid_core=mean(coord(added_matnodes,:));%û +% Knnc=2*kcell*Kf(the_frac_cell)/(kcell+Kf(the_frac_cell));%ƽ +% dis_added=norm(nei_grid_core-core_frac_cell); +% T_added=Knnc*area_frac_cell_y/dis_added; + % һַʽ㼸 + dis_added=norm(nei_grid_core-core_frac_cell); + if Kf(the_frac_cell)==0 + T_added=0; + else + % ѷ쵥Ԫ + Geof=Kf(the_frac_cell)*area_frac_cell/(Wf(the_frac_cell)/2); + % ڻѷ쵥Ԫ + Geofnei=knei*area_frac_cell_y/dis_added; + % ûѷ쵥Ԫ + Geofcell=Tinterflow(pos_rao,1); + + T_added=1/(1/Geofnei+1/Geofcell+1/Geof); + % T_added=0;% +% T_added=0.002;% +% T_added=0.0039604;% + end + Nmf_projection=[Nmf_projection;nei_grid_y,the_frac_cell+nmc]; + Tmf_projection=[Tmf_projection;T_added]; + end + + + % z direction + if D_value_new(3)<=0 + selected_face(3)=1;nei_grid_z=i-nx*ny; + else selected_face(3)=6;nei_grid_z=i+nx*ny; + end +%% ----------------------% ΪʵpEDFMΪӴ-------------------------------------- + % ΪʵpEDFMΪӴ +% selected_face(3)=6;nei_grid_z=i+nx*ny; +%% ----------------------% Ϊ--------------------------------------------------------------- +% nei_grid_z=i-nx*ny; + struc_z=[i,nei_grid_z]; + pos=find_row(struc_z,N); + if size(pos,1)==1 %˵ҪĴϵ + S_p(pos)=S_p(pos)+area_frac_cell_z; + kcell=(kx(i)*ky(i)*kz(i))^(1/3);%͸ + knei=(kx(nei_grid_z)*ky(nei_grid_z)*kz(nei_grid_z))^(1/3);%Ǹ͸ + added_matnodes=nodes(nei_grid_z,:); + nei_grid_core=mean(coord(added_matnodes,:));%û +% Knnc=2*kcell*Kf(the_frac_cell)/(kcell+Kf(the_frac_cell));%ƽ +% dis_added=norm(nei_grid_core-core_frac_cell); +% T_added=Knnc*area_frac_cell_z/dis_added; + % һַʽ㼸 + dis_added=norm(nei_grid_core-core_frac_cell); + if Kf(the_frac_cell)==0 + T_added=0; + else + % ѷ쵥Ԫ + Geof=Kf(the_frac_cell)*area_frac_cell/(Wf(the_frac_cell)/2); + % ڻѷ쵥Ԫ + Geofnei=knei*area_frac_cell_z/dis_added; + % ûѷ쵥Ԫ + Geofcell=Tinterflow(pos_rao,1); + + T_added=1/(1/Geofnei+1/Geofcell+1/Geof); +% T_added=0;% +% T_added=0.0;% +% T_added=0.0039604;% + end + Nmf_projection=[Nmf_projection;nei_grid_z,the_frac_cell+nmc]; + Tmf_projection=[Tmf_projection;T_added]; + end +% %% ӵ +% if D_value_new(1)>0 +% selected_face(1)=3;nei_grid_x=i-1; +% else selected_face(1)=4; nei_grid_x=i+1; +% end +% struc_x=[i,nei_grid_x]; +% pos=find_row(struc_x,N); +% if size(pos,1)==1 %˵ҪĴϵ +% S_p(pos)=S_p(pos)+area_frac_cell_x; +% kcell=(kx(i)*ky(i)*kz(i))^(1/3);%͸ +% knei=(kx(nei_grid_x)*ky(nei_grid_x)*kz(nei_grid_x))^(1/3);%Ǹ͸ +% added_matnodes=nodes(nei_grid_x,:); +% nei_grid_core=mean(coord(added_matnodes,:));%û +% % Knnc=2*kcell*Kf(the_frac_cell)/(kcell+Kf(the_frac_cell));%ƽ +% % dis_added=norm(nei_grid_core-core_frac_cell); +% % T_added=Knnc*area_frac_cell_x/dis_added; +% % һַʽ㼸 +% dis_added=norm(nei_grid_core-core_frac_cell); +% if Kf(the_frac_cell)==0 +% T_added=0; +% else +% % ѷ쵥Ԫ +% Geof=Kf(the_frac_cell)*area_frac_cell/(Wf(the_frac_cell)/2); +% % ڻѷ쵥Ԫ +% Geofnei=knei*area_frac_cell_x/dis_added; +% % ûѷ쵥Ԫ +% Geofcell=Tinterflow(pos_rao,1); +% +% T_added=1/(1/Geofnei+1/Geofcell+1/Geof); +% % T_added=0;% +% % T_added=0;% +% % T_added=0.0039604;% +% end +% Nmf_projection=[Nmf_projection;nei_grid_x,the_frac_cell+nmc]; +% Tmf_projection=[Tmf_projection;T_added]; +% end +% +% %y direction +% if D_value_new(2)>0 +% selected_face(1)=2;nei_grid_y=i-nx; +% else selected_face(1)=5;nei_grid_y=i+nx; +% end +% struc_y=[i,nei_grid_y]; +% pos=find_row(struc_y,N); +% if size(pos,1)==1 %˵ҪĴϵ +% S_p(pos)=S_p(pos)+area_frac_cell_y; +% kcell=(kx(i)*ky(i)*kz(i))^(1/3);%͸ +% knei=(kx(nei_grid_y)*ky(nei_grid_y)*kz(nei_grid_y))^(1/3);%Ǹ͸ +% added_matnodes=nodes(nei_grid_y,:); +% nei_grid_core=mean(coord(added_matnodes,:));%û +% % Knnc=2*kcell*Kf(the_frac_cell)/(kcell+Kf(the_frac_cell));%ƽ +% % dis_added=norm(nei_grid_core-core_frac_cell); +% % T_added=Knnc*area_frac_cell_y/dis_added; +% % һַʽ㼸 +% dis_added=norm(nei_grid_core-core_frac_cell); +% if Kf(the_frac_cell)==0 +% T_added=0; +% else +% % ѷ쵥Ԫ +% Geof=Kf(the_frac_cell)*area_frac_cell/(Wf(the_frac_cell)/2); +% % ڻѷ쵥Ԫ +% Geofnei=knei*area_frac_cell_y/dis_added; +% % ûѷ쵥Ԫ +% Geofcell=Tinterflow(pos_rao,1); +% +% T_added=1/(1/Geofnei+1/Geofcell+1/Geof); +% % T_added=0;% +% % T_added=0.002;% +% % T_added=0.0039604;% +% end +% Nmf_projection=[Nmf_projection;nei_grid_y,the_frac_cell+nmc]; +% Tmf_projection=[Tmf_projection;T_added]; +% end +% +% +% % z direction +% if D_value_new(3)>0 +% selected_face(1)=1;nei_grid_z=i-nx*ny; +% else selected_face(1)=6;nei_grid_z=i+nx*ny; +% end +% % nei_grid_z=i-nx*ny; +% struc_z=[i,nei_grid_z]; +% pos=find_row(struc_z,N); +% if size(pos,1)==1 %˵ҪĴϵ +% S_p(pos)=S_p(pos)+area_frac_cell_z; +% kcell=(kx(i)*ky(i)*kz(i))^(1/3);%͸ +% knei=(kx(nei_grid_z)*ky(nei_grid_z)*kz(nei_grid_z))^(1/3);%Ǹ͸ +% added_matnodes=nodes(nei_grid_z,:); +% nei_grid_core=mean(coord(added_matnodes,:));%û +% % Knnc=2*kcell*Kf(the_frac_cell)/(kcell+Kf(the_frac_cell));%ƽ +% % dis_added=norm(nei_grid_core-core_frac_cell); +% % T_added=Knnc*area_frac_cell_z/dis_added; +% % һַʽ㼸 +% dis_added=norm(nei_grid_core-core_frac_cell); +% if Kf(the_frac_cell)==0 +% T_added=0; +% else +% % ѷ쵥Ԫ +% Geof=Kf(the_frac_cell)*area_frac_cell/(Wf(the_frac_cell)/2); +% % ڻѷ쵥Ԫ +% Geofnei=knei*area_frac_cell_z/dis_added; +% % ûѷ쵥Ԫ +% Geofcell=Tinterflow(pos_rao,1); +% +% T_added=1/(1/Geofnei+1/Geofcell+1/Geof); +% % T_added=0;% +% % T_added=0.0;% +% % T_added=0.0039604;% +% end +% Nmf_projection=[Nmf_projection;nei_grid_z,the_frac_cell+nmc]; +% Tmf_projection=[Tmf_projection;T_added]; +% end + +% end + end + end +end +%% ӵĸĽ +im_N=[]; +im_T=[]; +% q=length(Kf)+1; +% for i=1:(q-1)/2%q-1ѷ쵥Ԫ +% for j=(q-1)/2+1:(q-1) +% if norm(corevsfra(j,:)-corevsfra(i,:))<=3*1e-1 +% im_N=[im_N;i+nmc,j+nmc]; +% % im_T=[im_T;0]; +% % im_T=[im_T;0.0039604]; +% % im_T=[im_T;(((Kf(i))^(-1)+(1e-3)^(-1)+(1e-3)^(-1)+(Kf(j))^(-1))/4)^(-1)*2*2/0.4]; +% % im_T=[im_T;(((Kf(i))^(-1)+(1e-3)^(-1)+(1e-3)^(-1)+(Kf(j))^(-1))/4)^(-1)*0.5*2/0.4]; +% im_T=[im_T;((Kf(i)*1*2/0.005)^-1+(Kf(j)*1*2/0.005)^-1+(5*1e-3*1*2/0.1)^-1+(5*1e-3*1*2/0.1)^-1)^-1]; +% % +% end +% end +% end +%% ͶӰ䴫 +for i=1:nmm + % Ϊֵûס + if (S_ex(i)-S_p(i))/S_ex(i)<=1e-2 + T(i)=0; + else + T(i)= T(i)*(S_ex(i)-S_p(i))/S_ex(i); + end +end +%% ʵpEDFM⴦ +% % % num_frac = size(frac_information,1)/3; +% % % for i = 1:num_frac +% % % if frac_information(3*i,1) <= (kx(1)*ky(1)*kz(1))^(1/3) +% % % % ѷ˵ +% % % one_end = frac_information(3*i-2,:); +% % % the_other_end = frac_information(3*i-1,:); +% % % % ֮ +% % % for j = 1:size(N,1) +% % % added_matnodes_1=nodes(N(j,1),:); +% % % one_node_connect=mean(coord(added_matnodes_1,:));%û +% % % added_matnodes_2=nodes(N(j,2),:); +% % % the_other_node_connect=mean(coord(added_matnodes_2,:)); +% % % coef_matrix = [ +% % % the_other_end(1)-one_end(1),-(the_other_node_connect(1)-one_node_connect(1)); +% % % the_other_end(2)-one_end(2),-(the_other_node_connect(2)-one_node_connect(2));]; +% % % coef_vector = [one_node_connect(1)-one_end(1);one_node_connect(2)-one_end(2);]; +% % % if abs(det(coef_matrix))<=1e-12 +% % % else +% % % parameters = coef_matrix\coef_vector; +% % % if parameters(1)>=0 && parameters(1)<=1 && parameters(2)>=0 && parameters(2)<=1 +% % % T(j) = (T(j)^-1 + frac_information(3*i,1)^-1)^-1; +% % % end +% % % end +% % % end +% % % end +% % % end +%% ľֱ +N = [N; Nmff+nmc; Nff+nmc;Ninterflow;Nmf_projection;im_N]; +T = [T; Tmff; Tff;Tinterflow;Tmf_projection;im_T]; +% N = [N; Nmff+nmc; Nff+nmc;Ninterflow;Nmf_projection]; +% T = [T; Tmff; Tff;Tinterflow;Tmf_projection]; +nex=size(N,1); +end diff --git a/generic extended/connections_PEDFM_new_new.m b/generic extended/connections_PEDFM_new_new.m new file mode 100644 index 0000000..4540d17 --- /dev/null +++ b/generic extended/connections_PEDFM_new_new.m @@ -0,0 +1,714 @@ +function [ matrixvsfra,connectmf,fracnumber,fracstart,corevsfra,connect_infrac,N,T,zf,fcinff,vf,porf,fcff, flowArea, perm, matrixflag] = connections_PEDFM_new_new( fracturemesh,pointvsregion,raopoint,f,nf,nx,ny,nz,kx,ky,kz,pori,kf,wf,Porf,dxv,dyv,dzv,coord,nodes,NTG,addflag,frac_information,coordinates) +% úԸѷţ洢ӹϵʣǰĹؼ +% ͬڶάǶʽɢѷģͣάģУѷǶάƽ棬֮ӹϵӣ +%ܼ򵥵ôӻжڣѷزڣڣѷȴһ +%ԭȥȷconnectionsȡ· +%һ:xinkȥк󣬰θijѷţͬʱ洢ѷڵĻ +%ڶ:洢ÿѷ߽磬߽糤ȣĵ꣬ĵ㵽߽ľ룬Ϊ׼ +%:ѷ˳򣬰ձ߽ͬı߽磬ѷڵ +%matrixvsfraаѷŵ +%fracnumberűʾѷţݱʾĵ +%areavsfraűʾѷţݱʾѷ +%ÿһߣȻ˳򷴹һ +%lengthvsfraűʾѷţݱʾѷĸ߳ +%corevsfraűʾѷţݱʾѷ +%disvsfraűʾѷţݱʾѷĵߵľ +matrixvsfra=zeros(nx*ny*nz,10);%Ϊ˼ٸþĴСʵһУһ㲻г10ѷ +fracnumber=zeros(1000,20);%ʵѷһ㲻ᳬ1000Ҳɸʵı +cell_center_coordinates = zeros(nx*ny*nz, 3); % ѷڸþ +for j = 1:nx*ny*nz + nodes_of_the_cell = nodes(j,:); + cell_center_coordinates(j,:) = mean(coord(nodes_of_the_cell,:));%û +end +%m=size(xink,1); +rownum=zeros(nf,1); +for i=1:nf + rownum(i)=size(fracturemesh{i,1},1); +end +%% ѷһţӸӦĻ +q=1; +fracstart=zeros(nf+1,1);%ʾܱУÿѷʼĺ +for j=1:nf + fracstart(j)=q; + numofmesh=pointvsregion{j,1}; + for i=1:1:rownum(j) + if(norm(fracturemesh{j,1}(i,:))~=0) + raoindice=size(fracturemesh{j,1}(i,:),2); + fracnumber(q,1:raoindice)=fracturemesh{j,1}(i,:);%qǸѷ + m=floor((i+(2^addflag(j)-1))/(2^addflag(j))); + indice=find(matrixvsfra(numofmesh(m),:)~=0); + % indice=find(matrixvsfra(numofmesh(i),:)~=0); + if (size(indice,2)==0) xiang=1; + else + rao=max(indice'); + xiang=rao(1)+1; + end + matrixvsfra(numofmesh(m),xiang)=q;%ѷŸӦĻ + q=q+1; + end + end +end +fracstart(nf+1)=q;%ѷ+1 +fracnumber(q:1000,:)=[]; + + +%% ѷ쵥ԪĻɸѡ,д +m=size(matrixvsfra,1); +connectmf=cell(1,4); +% for i=1:m +% if (norm(matrixvsfra(i,:))~=0) +% ConnecS = cell(1,4); +cc = 0; +cl = 1; +for i = 1 : m + %ɸѡѷĻ + % if ~isempty(matrixvsfra(i,:)) + if (norm(matrixvsfra(i,:)))~=0 + cc = cc + 1; + %洢û + connectmf{cc,1} = i; + %Щѷ/ѷ쵥Ԫ˳ + A=matrixvsfra(i,:); + A(A==0)=[]; + connectmf{cc,2} =A; + end +end + +%% һѷѷ߽ȵ +% edgevsfra=cell(nf,1); +number_fracture_cells = q-1; +normalvec=zeros(q-1,3);%unit +areavsfra=zeros(q-1,1);%q-1ѷ +lengthvsfra=zeros(q-1,10); +Kf=zeros(q-1,1);%ѷ͸ +Wf=zeros(q-1,1);%ѷ쵥Ԫ +corevsfra=zeros(q-1,3); +disvsfra=zeros(q-1,10); +tran=zeros(q-1,10); +fracFaceArea=zeros(q-1,10); +avtran=zeros(q-1,1);%ѷƽںļ򻯼 +avfracFaceArea=zeros(q-1,1); +fcinff=zeros(q-1,1);%ʾѷ쵥Ԫڵѷ +zf=zeros(q-1,1);%ѷ쵥Ԫ߶ȣ±Ϊ׼ +vf=zeros(q-1,1);%ѷ쵥Ԫ +porf=zeros(q-1,1);%ѷ쵥ԪĿ϶ +for i=1:1:q-1 %ѷв + if(norm(fracnumber(i,:))==0) break; + else + for k=2:(nf+1) + if(i0 + for i=1:(q-1) + [dogindex,~]=find(deindex==i); + if length(dogindex)~=0 + newnum(i)=0; + else + [catindex,~]=find(deindex2)||((size(raoflag,2)<2))) continue;%Ϊ͹ΣֻҪѷĹԪ2йߣ + %2ͬѷΪǣһǰΣìܣ֤ϣСûйеı + else if (a==b) continue; %˵ѷ쵥ԪͬһУ˲Ӧڴ + else + raoconnect(p,q)=k;q=q+1; + lengthcat=norm(d3intersection(raoflag(1),:)-d3intersection(raoflag(2),:));%ѷ쵥Ԫ߳ + rao1k=corevsfra(k,:)-d3intersection(raoflag(1),:); + rao1j=corevsfra(j,:)-d3intersection(raoflag(1),:); + rao2=d3intersection(raoflag(1),:)-d3intersection(raoflag(2),:); + %ֱѷ쵥Ԫĵߵľ + disk=norm(cross(rao1k',rao2'))/norm(rao2); + disj=norm(cross(rao1j',rao2'))/norm(rao2); + if Kf(j)==0 || Kf(k)==0 + hartran=0; + kij = 0; + else + tran1=Kf(j)*wf(i)*lengthcat/disk; + tran2=Kf(k)*wf(i)*lengthcat/disj; + % hartran=length/(disk+disj);%ȡƽһ + hartran=tran1*tran2/(tran1+tran2); + kij = 2*(Kf(j)^(-1)+Kf(k)^(-1))^(-1); + end + Nff=[Nff; j,k]; + Tff=[Tff;hartran]; + perm_ff = [perm_ff; kij]; + flowArea_ff = [flowArea_ff; wf(i)*lengthcat]; + %ÿѷĵÿߵľ + end + end + p=p+1; + end + connect_infrac{i,1}=raoconnect; + end +end +Nff(1,:)=[]; %ȥһе +Tff(1,:)=[]; +perm_ff(1,:)=[]; +flowArea_ff(1,:)=[]; +%% ͬһеѷ쵥Ԫʼ +nmc=size(matrixvsfra,1); +Nmff=zeros(1,2); +Tmff=zeros(1,1); +perm_mff=zeros(1,1); +flowArea_mff=zeros(1,1); +for i=1:nmc + if(norm(matrixvsfra(i,:))~=0) + indice=find(matrixvsfra(i,:)~=0); + n=size(indice,2); + if (n>1) %ʱҪȡļ㷨 + % lengthvsfra(matrixvsfra(i,indice))./disvsfra(matrixvsfra(i,indice)) + for j=1:n-1 + for k=(j+1):n + Nmff=[Nmff;matrixvsfra(i,indice(j)), matrixvsfra(i,indice(k))]; + % ʱļ㷽ʽÿѷƽڸûеѷ쵥Ԫƽ + fc1=matrixvsfra(i,indice(j)); fc2=matrixvsfra(i,indice(k)); + allfc=matrixvsfra(i,1:n); sumtran=sum(fcff{1,7}(allfc)); + if sumtran==0 Tmff=[Tmff; 0]; perm_mff=[perm_mff;0];flowArea_mff=[flowArea_mff;(avfracFaceArea(fc1)+avfracFaceArea(fc2))/2]; + else + Tmff=[Tmff; fcff{1,7}(fc1)*fcff{1,7}(fc2)/sumtran]; + perm_mff=[perm_mff;(Kf(fc1)^(-1)+Kf(fc2)^(-1))^(-1)]; + flowArea_mff=[flowArea_mff;(avfracFaceArea(fc1)+avfracFaceArea(fc2))/2]; + end + end + end + end + end +end +Nmff(1,:)=[]; %ȥͷ +Tmff(1,:)=[]; +perm_mff(1,:)=[]; +flowArea_mff(1,:)=[]; +% N = [N; Nmff+nmc]; +% T = [T; Tmff]; +%% ϵ +nmc=nx * ny*nz;%Ŀ +nfc=size(fracnumber,1);%ѷ쵥ԪĿ +rpt = [ones(nmc, 1); zeros(nfc, 1)]; +% r.rpt = rpt; +nmm = (nx-1)*ny*nz+(ny-1)*nx*nz+(nz-1)*nx*ny;%nmmǻ֮彻 +% r.nf = nmm + nff;%nffѷ쵥Ԫ֮彻 +S_ex=zeros(nmm,1);% 彻 + +Kx=kx.*ones(nmc,1); +Ky=ky.*ones(nmc,1); +Kz=kz.*ones(nmc,1); +N = zeros(nmm, 2);%洢֮彻 +T = zeros(nmm, 1);%洢ӦNĴϵ +perm = zeros(nmm, 1); +flowArea = zeros(nmm, 1); +c = 0; +for k= 1 : nz + for j = 1 : ny + for i = 1 : nx - 1 + c = c + 1; + index = i + (j - 1) * nx + (k - 1) * nx * ny; + indexn = index + 1; + N(c, :) = [index, indexn]; + T(c) = 2 * dzv(index)*dyv(index)*Kx(index)*Kx(indexn)*NTG(index)*NTG(indexn)/(Kx(index)*dxv(indexn)*NTG(index) + Kx(indexn)*dxv(index)*NTG(indexn)); + % 2 * dzv(index)*dyv(index)*Kx(index)*Kx(indexn)/(Kx(index)*dxv(indexn) + Kx(indexn)*dxv(index)); + S_ex(c)=dzv(index)*dyv(index); + perm(c)=2*Kx(index)*Kx(indexn)/(Kx(index) + Kx(indexn)); + flowArea(c)=dzv(index)*dyv(index); + end + end +end + +for k= 1 : nz + for i = 1 : nx + for j = 1 : ny - 1 + c = c + 1; + index = i + (j - 1) * nx + (k - 1) * nx * ny; + indexn = index + nx; + N(c, :) = [index, indexn]; + T(c) = 2 * dzv(index)*dxv(index)*Ky(index)*Ky(indexn)/(Ky(index)*dyv(indexn) + Ky(indexn)*dyv(index)); + S_ex(c)=dzv(index)*dxv(index); + perm(c)=2*Ky(index)*Ky(indexn)/(Ky(index) + Ky(indexn)); + flowArea(c)=dzv(index)*dxv(index); + end + end +end + +for i = 1 : nx + for j = 1 : ny + for k= 1: nz-1 + c = c + 1; + index = i + (j - 1) * nx + (k - 1) * nx * ny; + indexn = index + nx * ny; + N(c, :) = [index, index + nx*ny]; + T(c) = 2 * dxv(index)*dyv(index)*Kz(index)*Kz(indexn)/(Kz(index)*dzv(indexn) + Kz(indexn)*dzv(index)); + S_ex(c)=dxv(index)*dyv(index); + perm(c)=2*Kz(index)*Kz(indexn)/(Kz(index) + Kz(indexn)); + flowArea(c)=dxv(index)*dyv(index); + end + end +end + +%% 2014ķΪƵʽ +syms x y z; +Ninterflow=[]; +Tinterflow=[]; +perm_interflow=[]; +flowArea_interflow=[]; +for i=1:nx*ny*nz % + for j=1:10 +% if matrixvsfra(i,j)~=0 + if matrixvsfra(i,j)~=0 && (matrixvsfra(i,j) <= number_fracture_cells) %this matrix cell contains a fracture cell + Ninterflow=[Ninterflow;i,matrixvsfra(i,j)+nmc]; + kcell=(kx(i)*ky(i)*kz(i))^(1/3); + Annc=areavsfra(matrixvsfra(i,j));% ˴ԭʼǶʽһԭʼ + fracore=corevsfra(matrixvsfra(i,j),:); + matnodes=nodes(i,:); + verco=coord(matnodes,:);norvec=normalvec(matrixvsfra(i,j),:); + matcore=mean(verco);d0=matcore-fracore; + dn=(x+d0(1))*norvec(1)+(y+d0(2))*norvec(2)+(z+d0(3))*norvec(3); + % dn=abs(dn);%ӰֵЧ + dn=sqrt(dn^2); + dn=matlabFunction(dn); + if norvec(1)~=0 && norvec(2)~=0 && norvec(3)~=0 + Dn=integral3(dn,-dxv(i)/2,dxv(i)/2,-dyv(i)/2,dyv(i)/2,-dzv(i)*NTG(i)/2,dzv(i)*NTG(i)/2)/(dxv(i)*dyv(i)*dzv(i)*NTG(i)); + else if norvec(1)~=0 && norvec(2)~=0 + Dn=dzv(i)*NTG(i)*integral2(dn,-dxv(i)/2,dxv(i)/2,-dyv(i)/2,dyv(i)/2)/(dxv(i)*dyv(i)*dzv(i)*NTG(i)); + else if norvec(1)~=0 && norvec(3)~=0 + Dn=dyv(i)*integral2(dn,-dxv(i)/2,dxv(i)/2,-dzv(i)*NTG(i)/2,dzv(i)*NTG(i)/2)/(dxv(i)*dyv(i)*dzv(i)*NTG(i)); + else if norvec(2)~=0 && norvec(3)~=0 + Dn=dxv(i)*integral2(dn,-dyv(i)/2,dyv(i)/2,-dzv(i)*NTG(i)/2,dzv(i)*NTG(i)/2)/(dxv(i)*dyv(i)*dzv(i)*NTG(i)); + else if norvec(1)~=0 + Dn=dyv(i)*dzv(i)*NTG(i)*integral(dn,-dxv(i)/2,dxv(i)/2)/(dxv(i)*dyv(i)*dzv(i)*NTG(i)); + else if norvec(2)~=0 + Dn=dxv(i)*dzv(i)*NTG(i)*integral(dn,-dyv(i)/2,dyv(i)/2)/(dxv(i)*dyv(i)*dzv(i)*NTG(i)); + else if norvec(3)~=0 + Dn=dxv(i)*dyv(i)*integral(dn,-dzv(i)*NTG(i)/2,dzv(i)*NTG(i)/2)/(dxv(i)*dyv(i)*dzv(i)*NTG(i)); + end + end + end + end + end + end + end + % Dn=0.9; + % Dn=0.15; + % Dn = (5-0.5)/2; + raoT1 = kcell*Annc/Dn; + raoT2 = Kf(matrixvsfra(i,j))*Annc/(Wf(matrixvsfra(i,j))/2); + raoT = (raoT1^-1+raoT2^-1)^-1; + % raoT=Knnc*Annc/Dn; + Tinterflow=[Tinterflow;raoT]; + perm_mf_this = kcell*Kf(matrixvsfra(i,j))/(kcell+Kf(matrixvsfra(i,j))); + perm_interflow = [perm_interflow; perm_mf_this]; + flowArea_interflow = [flowArea_interflow; Annc]; + end + end +end + +%% ͶӰǶʽ +nmc=size(matrixvsfra,1); +%彻ϵѷ쵥ԪͶӰ֮ +S_p=zeros(nmm,1); +% ΪͶӰ¼ӵF-M connections +Nmf_projection=[]; +Tmf_projection=[]; +perm_projection=[]; +flowArea_projection=[]; +for i=1:nmc + matnodes=nodes(i,:); + dx_grid=dxv(i); + dy_grid=dyv(i); + dz_grid=dzv(i); + grid_core=mean(coord(matnodes,:));%û + if(norm(matrixvsfra(i,:))~=0) + indice=find(matrixvsfra(i,:)~=0); + n=size(indice,2); +% if (n>=1) + the_frac_cells=matrixvsfra(i,indice);%ѷ쵥Ԫ + if (n>=1) %Ƚn=1ʱ + selected_face=zeros(1,3); + if n>1 + flag =1; + end + for haihaihai = 1:length(the_frac_cells) + the_frac_cell = the_frac_cells(haihaihai); + if Kf(the_frac_cell) <= (kx(i)*ky(i)*kz(i))^(1/3) % + else + which_frac=fcff{1,2}(the_frac_cell,1);%ѷ쵥Ԫڵѷ + core_frac_cell=fcff{1,4}(the_frac_cell,1:3);%ѷ쵥Ԫ + area_frac_cell=fcff{1,8}(the_frac_cell,1);%ѷ쵥Ԫ + rao_struct=[i,the_frac_cell+nmc]; + pos_rao=find_row(rao_struct,Ninterflow); + D_value=core_frac_cell-grid_core;% OF + vector_1=f(5*which_frac-3,:); + vector_2=f(5*which_frac-2,:); + n_vector_1=cross(vector_1,vector_2); + n_vector_2=-cross(vector_1,vector_2); + if (dot(n_vector_1,D_value))>=0 + n_vector=n_vector_1; + else + n_vector=n_vector_2; + end + %ѷ淨 + % xͶӰ + area_frac_cell_x=abs(area_frac_cell*dot([1,0,0],n_vector)/norm(n_vector)); + area_frac_cell_y=abs(area_frac_cell*dot([0,1,0],n_vector)/norm(n_vector)); + area_frac_cell_z=abs(area_frac_cell*dot([0,0,1],n_vector)/norm(n_vector)); + % %% Ϊvalid case޸ + % area_frac_cell_x=10*10; + % area_frac_cell_y=10*10; + % area_frac_cell_z=10*10; + %ѷط΢СƽƣʱٰվԭжϣԱ֤õ + new_core=core_frac_cell+1e-4*n_vector; + % ѷ쵥Ԫڻĵʸ + %x direction + D_value_new=new_core-grid_core; + if D_value_new(1)<=0 + selected_face(1)=3;nei_grid_x=i-1; + else selected_face(1)=4; nei_grid_x=i+1; + end + %% ----------------------% ΪʵpEDFMΪӴ-------------------------------------- + % ΪʵpEDFMΪӴ +% selected_face(1)=4; nei_grid_x=i+1; + %% ----------------------% Ϊ--------------------------------------------------------------- + struc_x=[i,nei_grid_x]; + pos=find_row(struc_x,N); + if size(pos,1)==1 %˵ҪĴϵ + S_p(pos)=S_p(pos)+area_frac_cell_x; + kcell=(kx(i)*ky(i)*kz(i))^(1/3);%͸ + knei=(kx(nei_grid_x)*ky(nei_grid_x)*kz(nei_grid_x))^(1/3);%Ǹ͸ + added_matnodes=nodes(nei_grid_x,:); + nei_grid_core=mean(coord(added_matnodes,:));%û + % Knnc=2*kcell*Kf(the_frac_cell)/(kcell+Kf(the_frac_cell));%ƽ + % dis_added=norm(nei_grid_core-core_frac_cell); + % T_added=Knnc*area_frac_cell_x/dis_added; + % һַʽ㼸 + dis_added=norm(nei_grid_core-core_frac_cell); + if Kf(the_frac_cell)==0 + T_added=0; + else + % ѷ쵥Ԫ + Geof=Kf(the_frac_cell)*area_frac_cell/(Wf(the_frac_cell)/2); + % ڻѷ쵥Ԫ + % dis_added = (5+0.5)/2; + Geofnei=knei*area_frac_cell_x/dis_added; + % ûѷ쵥Ԫ + Geofcell=Tinterflow(pos_rao,1); + + T_added=1/(1/Geofnei+1/Geofcell+1/Geof); + T_added = 1/(1/Geofnei+1/Geof); +% T_added=0;% + % T_added=0;% + % T_added=0.0039604;% + end + Nmf_projection=[Nmf_projection;nei_grid_x,the_frac_cell+nmc]; + Tmf_projection=[Tmf_projection;T_added]; + perm_projection =[perm_projection;knei]; + flowArea_projection = [flowArea_projection;area_frac_cell_x]; + end + + %y direction + if D_value_new(2)<=0 + selected_face(2)=2;nei_grid_y=i-nx; + else selected_face(2)=5;nei_grid_y=i+nx; + end + %% ----------------------% ΪʵpEDFMΪӴ-------------------------------------- + % ΪʵpEDFMΪӴ +% selected_face(2)=5; nei_grid_y=i+nx; + %% ----------------------% Ϊ--------------------------------------------------------------- + struc_y=[i,nei_grid_y]; + pos=find_row(struc_y,N); + if size(pos,1)==1 %˵ҪĴϵ + S_p(pos)=S_p(pos)+area_frac_cell_y; + kcell=(kx(i)*ky(i)*kz(i))^(1/3);%͸ + knei=(kx(nei_grid_y)*ky(nei_grid_y)*kz(nei_grid_y))^(1/3);%Ǹ͸ + added_matnodes=nodes(nei_grid_y,:); + nei_grid_core=mean(coord(added_matnodes,:));%û + % Knnc=2*kcell*Kf(the_frac_cell)/(kcell+Kf(the_frac_cell));%ƽ + % dis_added=norm(nei_grid_core-core_frac_cell); + % T_added=Knnc*area_frac_cell_y/dis_added; + % һַʽ㼸 + dis_added=norm(nei_grid_core-core_frac_cell); + if Kf(the_frac_cell)==0 + T_added=0; + else + % ѷ쵥Ԫ + Geof=Kf(the_frac_cell)*area_frac_cell/(Wf(the_frac_cell)/2); + % ڻѷ쵥Ԫ + Geofnei=knei*area_frac_cell_y/dis_added; + % ûѷ쵥Ԫ + Geofcell=Tinterflow(pos_rao,1); + + T_added=1/(1/Geofnei+1/Geofcell+1/Geof); + T_added = 1/(1/Geofnei+1/Geof); +% T_added=0;% + % T_added=0.002;% + % T_added=0.0039604;% + end + Nmf_projection=[Nmf_projection;nei_grid_y,the_frac_cell+nmc]; + Tmf_projection=[Tmf_projection;T_added]; + perm_projection =[perm_projection;knei]; + flowArea_projection = [flowArea_projection;area_frac_cell_y]; + end + + + % z direction + if D_value_new(3)<=0 + selected_face(3)=1;nei_grid_z=i-nx*ny; + else selected_face(3)=6;nei_grid_z=i+nx*ny; + end + %% ----------------------% ΪʵpEDFMΪӴ-------------------------------------- + % ΪʵpEDFMΪӴ +% selected_face(3)=6;nei_grid_z=i+nx*ny; + %% ----------------------% Ϊ--------------------------------------------------------------- + % nei_grid_z=i-nx*ny; + struc_z=[i,nei_grid_z]; + pos=find_row(struc_z,N); + if size(pos,1)==1 %˵ҪĴϵ + S_p(pos)=S_p(pos)+area_frac_cell_z; + kcell=(kx(i)*ky(i)*kz(i))^(1/3);%͸ + knei=(kx(nei_grid_z)*ky(nei_grid_z)*kz(nei_grid_z))^(1/3);%Ǹ͸ + added_matnodes=nodes(nei_grid_z,:); + nei_grid_core=mean(coord(added_matnodes,:));%û + % Knnc=2*kcell*Kf(the_frac_cell)/(kcell+Kf(the_frac_cell));%ƽ + % dis_added=norm(nei_grid_core-core_frac_cell); + % T_added=Knnc*area_frac_cell_z/dis_added; + % һַʽ㼸 + dis_added=norm(nei_grid_core-core_frac_cell); + if Kf(the_frac_cell)==0 + T_added=0; + else + % ѷ쵥Ԫ + Geof=Kf(the_frac_cell)*area_frac_cell/(Wf(the_frac_cell)/2); + % ڻѷ쵥Ԫ + Geofnei=knei*area_frac_cell_z/dis_added; + % ûѷ쵥Ԫ + Geofcell=Tinterflow(pos_rao,1); + + T_added=1/(1/Geofnei+1/Geofcell+1/Geof); +% T_added=0;% + % T_added=0.0;% + % T_added=0.0039604;% + end + Nmf_projection=[Nmf_projection;nei_grid_z,the_frac_cell+nmc]; + Tmf_projection=[Tmf_projection;T_added]; + perm_projection =[perm_projection;knei]; + flowArea_projection = [flowArea_projection;area_frac_cell_z]; + end + end + end + end + end +end +%% ӵĸĽ +im_N=[]; +im_T=[]; +% q=length(Kf)+1; +% for i=1:(q-1)/2%q-1ѷ쵥Ԫ +% for j=(q-1)/2+1:(q-1) +% if abs(corevsfra(j,1)-corevsfra(i,1))<=1e-2 +% im_N=[im_N;i+nmc,j+nmc]; +% % im_T=[im_T;0]; +% im_T=[im_T;0.0039604]; +% % im_T=[im_T;(((Kf(i))^(-1)+(1e-3)^(-1)+(1e-3)^(-1)+(Kf(j))^(-1))/4)^(-1)*2*2/0.4]; +% % +% end +% end +% end +%% ͶӰ䴫 +num_weaken = 0; +for i=1:nmm + % Ϊֵûס + if (S_ex(i)-S_p(i))/S_ex(i)<=1e-2 + T(i)=0; + num_weaken = num_weaken+1; + else + T(i)= T(i)*(S_ex(i)-S_p(i))/S_ex(i); + end +end +% % % %% ʵpEDFM⴦ +% % % num_frac = size(frac_information,1)/3; +% % % for i = 1:num_frac +% % % if frac_information(3*i,1) <= (kx(1)*ky(1)*kz(1))^(1/3) +% % % % ѷ˵ +% % % one_end = frac_information(3*i-2,:); +% % % the_other_end = frac_information(3*i-1,:); +% % % % ֮ +% % % for j = 1:size(N,1) +% % % added_matnodes_1=nodes(N(j,1),:); +% % % one_node_connect=mean(coord(added_matnodes_1,:));%û +% % % added_matnodes_2=nodes(N(j,2),:); +% % % the_other_node_connect=mean(coord(added_matnodes_2,:)); +% % % coef_matrix = [ +% % % the_other_end(1)-one_end(1),-(the_other_node_connect(1)-one_node_connect(1)); +% % % the_other_end(2)-one_end(2),-(the_other_node_connect(2)-one_node_connect(2));]; +% % % coef_vector = [one_node_connect(1)-one_end(1);one_node_connect(2)-one_end(2);]; +% % % if abs(det(coef_matrix))<=1e-12 +% % % else +% % % parameters = coef_matrix\coef_vector; +% % % if parameters(1)>=0 && parameters(1)<=1 && parameters(2)>=0 && parameters(2)<=1 +% % % T(j) = (T(j)^-1 + frac_information(3*i,1)^-1)^-1; +% % % end +% % % end +% % % end +% % % end +% % % end +%% ľֱ +matrixflag = [ones(size(T,1),1); zeros(size(Tmff,1),1); zeros(size(Tff,1),1); ones(size(Tinterflow,1),1); ones(size(Tmf_projection,1),1); ones(size(im_T,1),1)]; +N = [N; Nmff+nmc; Nff+nmc;Ninterflow;Nmf_projection;im_N]; +% Tmff = Tmff*0; +T = [T; Tmff; Tff;Tinterflow;Tmf_projection;im_T]; +perm = [perm; perm_mff; perm_ff;perm_interflow; perm_projection]; +flowArea = [flowArea; flowArea_mff; flowArea_ff;flowArea_interflow; flowArea_projection+0.0001]; +% N = [N; Nmff+nmc; Nff+nmc;Ninterflow;Nmf_projection]; +% T = [T; Tmff; Tff;Tinterflow;Tmf_projection]; +nex=size(N,1); +%% ʵpEDFM⴦ +num_frac = size(frac_information,1)/3; +for i = 1:num_frac + if frac_information(3*i,1) <= (kx(1)*ky(1)*kz(1))^(1/3) % ˴Ϊ򻯱д, || i == 2 + % ѷ˵ + one_end = frac_information(3*i-2,:); + the_other_end = frac_information(3*i-1,:); + % ֮ + for j = 1:size(N,1) + % added_matnodes_1=nodes(N(j,1),:); + % one_node_connect=mean(coord(added_matnodes_1,:));%û + % added_matnodes_2=nodes(N(j,2),:); + % the_other_node_connect=mean(coord(added_matnodes_2,:)); + one_node_connect = cell_center_coordinates(N(j,1),:); + the_other_node_connect = cell_center_coordinates(N(j,2),:); + coef_matrix = [ + the_other_end(1)-one_end(1),-(the_other_node_connect(1)-one_node_connect(1)); + the_other_end(2)-one_end(2),-(the_other_node_connect(2)-one_node_connect(2));]; + coef_vector = [one_node_connect(1)-one_end(1);one_node_connect(2)-one_end(2);]; + if abs(det(coef_matrix))<=1e-12 + else + parameters = coef_matrix\coef_vector; + if parameters(1)>=0 && parameters(1)<=1 && parameters(2)>=0 && parameters(2)<=1 + disp('a T modfification in the new pEDFM'); + disp(T(j)); + if T(j) > 0.006 + flag = 1; + end + T(j) = (T(j)^-1 + (frac_information(3*i,1)/(frac_information(3*i,2)/2))^-1)^-1; +% T(j) = 0.005; + disp(T(j)); + end + end + end + end +end +%% תCMGECLIPSEм +% [ Data_for_ECLIPSE ] = pEDFM_to_CMG_horizontalFractureWell(dxv,dyv,dzv,kx,ky,kz,pori,Kf,Wf,vf,porf,N,T); +% [ Data_for_ECLIPSE ] = pEDFM_to_CMG_horizontalFractureWell_net_pay(dxv,dyv,dzv,kx,ky,kz,pori,Kf,Wf,vf,porf,N,T); +end diff --git a/generic extended/connections_unstructured_EDFM_EX1_solutions.m b/generic extended/connections_unstructured_EDFM_EX1_solutions.m new file mode 100644 index 0000000..b99c0e9 --- /dev/null +++ b/generic extended/connections_unstructured_EDFM_EX1_solutions.m @@ -0,0 +1,629 @@ +function [ matrixvsfra,connectmf,fracnumber,fracstart,corevsfra,connect_infrac,N,T,zf,fcinff,vf,porf,fcff,T_convection,mat_frac,number_of_adding,cell_divided_by_fracture_flag,volume_ratio, fractureCell_matrixCell_addedMatrixCell] = connections_unstructured_EDFM_EX1_solutions( fracturemesh,pointvsregion,raopoint,f,nf,nx,ny,nz,kx,ky,kz,kf,wf,Porf,dxv,dyv,dzv,coord,nodes,NTG,addflag ) +% úԸѷţ洢ӹϵʣǰĹؼ +% ͬڶάǶʽɢѷģͣάģУѷǶάƽ棬֮ӹϵӣ +%ܼ򵥵ôӻжڣѷزڣڣѷȴһ +%ԭȥȷconnectionsȡ· +%һ:xinkȥк󣬰θijѷţͬʱ洢ѷڵĻ +%ڶ:洢ÿѷ߽磬߽糤ȣĵ꣬ĵ㵽߽ľ룬Ϊ׼ +%:ѷ˳򣬰ձ߽ͬı߽磬ѷڵ +%matrixvsfraаѷŵ +%fracnumberűʾѷţݱʾĵ +%areavsfraűʾѷţݱʾѷ +%ÿһߣȻ˳򷴹һ +%lengthvsfraűʾѷţݱʾѷĸ߳ +%corevsfraűʾѷţݱʾѷ +%disvsfraűʾѷţݱʾѷĵߵľ +matrixvsfra=zeros(nx*ny*nz,10);%Ϊ˼ٸþĴСʵһУһ㲻г10ѷ +fracnumber=zeros(1000,20);%ʵѷһ㲻ᳬ1000Ҳɸʵı +%m=size(xink,1); +rownum=zeros(nf,1); +for i=1:nf +rownum(i)=size(fracturemesh{i,1},1); +end +%% ѷһţӸӦĻ +q=1; +fracstart=zeros(nf+1,1);%ʾܱУÿѷʼĺ +for j=1:nf + fracstart(j)=q; + numofmesh=pointvsregion{j,1}; +for i=1:1:rownum(j) + if(norm(fracturemesh{j,1}(i,:))~=0) + raoindice=size(fracturemesh{j,1}(i,:),2); + fracnumber(q,1:raoindice)=fracturemesh{j,1}(i,:);%qǸѷ +% m=floor((i+(2^nf)-1)/(2^nf)); + m=floor((i+(2^addflag(j)-1))/(2^addflag(j))); + indice=find(matrixvsfra(numofmesh(m),:)~=0); +% indice=find(matrixvsfra(numofmesh(i),:)~=0); + if (size(indice,2)==0) xiang=1; + else + rao=max(indice'); + xiang=rao(1)+1; + end + matrixvsfra(numofmesh(m),xiang)=q;%ѷŸӦĻ + q=q+1; + end +end +end +fracstart(nf+1)=q;%ѷ+1 +fracnumber(q:1000,:)=[]; + + +%% ѷ쵥ԪĻɸѡ,д +m=size(matrixvsfra,1); +mat_frac=[]; +connectmf=cell(1,4); +% for i=1:m +% if (norm(matrixvsfra(i,:))~=0) +% ConnecS = cell(1,4); +cc = 0; +cl = 1; +for i = 1 : m + %ɸѡѷĻ +% if ~isempty(matrixvsfra(i,:)) + if (norm(matrixvsfra(i,:)))~=0 + cc = cc + 1; + %洢û + connectmf{cc,1} = i; + mat_frac=[mat_frac;i]; + %Щѷ/ѷ쵥Ԫ˳ + A=matrixvsfra(i,:); + A(A==0)=[]; + connectmf{cc,2} =A; +end +end + +%% һѷѷ߽ȵ +% edgevsfra=cell(nf,1); +% Kffl=funtion_data.Kffl; +% Dffl=funtion_data.Dffl; +% kffl=zeros(q-1,1); +% dffl=zeros(q-1,1); +fractureCellFlag = (1:q-1)'; +normalvec=zeros(q-1,3);%unit +areavsfra=zeros(q-1,1);%q-1ѷ +lengthvsfra=zeros(q-1,10); +Kf=zeros(q-1,10);%ѷ͸ +corevsfra=zeros(q-1,3); +disvsfra=zeros(q-1,10); +tran=zeros(q-1,10); +avtran=zeros(q-1,1);%ѷƽںļ򻯼 +ave_disvsfra=zeros(q-1,1); +fcinff=zeros(q-1,1);%ʾѷ쵥Ԫڵѷ +zf=zeros(q-1,1);%ѷ쵥Ԫ߶ȣ±Ϊ׼ +vf=zeros(q-1,1);%ѷ쵥Ԫ +porf=zeros(q-1,1);%ѷ쵥ԪĿ϶ +for i=1:1:q-1 %ѷв + if(norm(fracnumber(i,:))==0) break; + else + for k=2:(nf+1) + if(i0 +for i=1:(q-1) + [dogindex,~]=find(deindex==i); + if length(dogindex)~=0 + newnum(i)=0; + else + [catindex,~]=find(deindex2)||((size(raoflag,2)<2))) continue;%Ϊ͹ΣֻҪѷĹԪ2йߣ + %2ͬѷΪǣһǰΣìܣ֤ϣСûйеı + else if (a==b) continue; %˵ѷ쵥ԪͬһУ˲Ӧڴ + else + raoconnect(p,q)=k;q=q+1; + lengthcat=norm(d3intersection(raoflag(1),:)-d3intersection(raoflag(2),:));%ѷ쵥Ԫ߳ + rao1k=corevsfra(k,:)-d3intersection(raoflag(1),:); + rao1j=corevsfra(j,:)-d3intersection(raoflag(1),:); + rao2=d3intersection(raoflag(1),:)-d3intersection(raoflag(2),:); + %ֱѷ쵥Ԫĵߵľ + disk=norm(cross(rao1k',rao2'))/norm(rao2); + disj=norm(cross(rao1j',rao2'))/norm(rao2); + if kf(i)==0 hartran=0;hartran_convection=0; + else + tran1=kf(i)*wf(i)*lengthcat/disk; + tran2=kf(i)*wf(i)*lengthcat/disj; +% hartran=length/(disk+disj);%ȡƽ + hartran=tran1*tran2/(tran1+tran2); + k_harmony= kf(i); + hartran_convection=kf(i)/(disk+disj)^2; + end + Nff=[Nff; j,k]; + Tff=[Tff;hartran]; + Tff_convection=[Tff_convection;hartran_convection]; + %ÿѷĵÿߵľ + end + end + p=p+1; + end + connect_infrac{i,1}=raoconnect; + end +end +Nff(1,:)=[]; %ȥһе +Tff(1,:)=[]; +Tff_convection(1,:)=[]; +%% ͬһеѷ쵥Ԫʼ +nmc=size(matrixvsfra,1); +Nmff=zeros(1,2); +Tmff=zeros(1,1); +Tmff_convection=zeros(1,1); +for i=1:nmc + if(norm(matrixvsfra(i,:))~=0) + indice=find(matrixvsfra(i,:)~=0); + n=size(indice,2); + if (n>1) %ʱҪȡļ㷨 +% lengthvsfra(matrixvsfra(i,indice))./disvsfra(matrixvsfra(i,indice)) + for j=1:n-1 + for k=(j+1):n + Nmff=[Nmff;matrixvsfra(i,indice(j)), matrixvsfra(i,indice(k))]; + % ʱļ㷽ʽÿѷƽڸûеѷ쵥Ԫƽ + fc1=matrixvsfra(i,indice(j)); fc2=matrixvsfra(i,indice(k)); + allfc=matrixvsfra(i,1:n); sumtran=sum(fcff{1,7}(allfc)); + if sumtran==0 Tmff=[Tmff; 0];Tmff_convection=[Tmff_convection;0]; + else + Tmff=[Tmff; fcff{1,7}(fc1)*fcff{1,7}(fc2)/sumtran]; + end + end + end + end + end +end +Nmff(1,:)=[]; %ȥͷ +Tmff(1,:)=[]; +Tmff_convection(1,:)=[]; +% N = [N; Nmff+nmc]; +% T = [T; Tmff]; + +%% ϵ +nmc=nx * ny*nz;%Ŀ +nfc=size(fracnumber,1);%ѷ쵥ԪĿ +rpt = [ones(nmc, 1); zeros(nfc, 1)]; +% r.rpt = rpt; +nmm = (nx-1)*ny*nz+(ny-1)*nx*nz+(nz-1)*nx*ny;%nmmǻ֮彻 +% r.nf = nmm + nff;%nffѷ쵥Ԫ֮彻 +Kx=kx.*ones(nmc,1); +Ky=ky.*ones(nmc,1); +Kz=kz.*ones(nmc,1); +N = zeros(nmm, 2);%洢֮彻 +T = zeros(nmm, 1);%洢ӦNĴϵ +T_convection = zeros(nmm, 1); +c = 0; +for k= 1 : nz +for j = 1 : ny + for i = 1 : nx - 1 + c = c + 1; + index = i + (j - 1) * nx + (k - 1) * nx * ny; + indexn = index + 1; + N(c, :) = [index, indexn]; + T(c) = 2 * dzv(index)*dyv(index)*Kx(index)*Kx(indexn)*NTG(index)*NTG(indexn)/(Kx(index)*dxv(indexn)*NTG(index) + Kx(indexn)*dxv(index)*NTG(indexn)); + T_convection(c) = 2/(1/Kx(index)+1/Kx(indexn))/(dxv(indexn)+dxv(index)); + end +end +end + +for k= 1 : nz +for i = 1 : nx + for j = 1 : ny - 1 + c = c + 1; + index = i + (j - 1) * nx + (k - 1) * nx * ny; + indexn = index + nx; + N(c, :) = [index, indexn]; + T(c) = 2 * dzv(index)*dxv(index)*Ky(index)*Ky(indexn)/(Ky(index)*dyv(indexn) + Ky(indexn)*dyv(index)); + T_convection(c) = 2/(1/Ky(index)+1/Ky(indexn))/(dyv(indexn)+dyv(index)); + end +end +end + +for i = 1 : nx +for j = 1 : ny + for k= 1: nz-1 + c = c + 1; + index = i + (j - 1) * nx + (k - 1) * nx * ny; + indexn = index + nx * ny; + N(c, :) = [index, index + nx*ny]; + T(c) = 2 * dxv(index)*dyv(index)*Kz(index)*Kz(indexn)/(Kz(index)*dzv(indexn) + Kz(indexn)*dzv(index)); + T_convection(c) = 2/(1/Kz(index)+1/Kz(indexn))/(dzv(indexn)+dzv(index)); + end +end +end +%% 2014ķΪƵʽ +syms x y z; +Ninterflow=[]; +Tinterflow=[]; +Tinterflow_convection=[]; +matrix_cells_containing_fracture_cells = []; +volume_ratio = []; +fractureMatrixFlag = zeros(size(fractureCellFlag,1),2); +numberInGroup = 3; +for i=1:nx*ny*nz % + for j=1:10 + if matrixvsfra(i,j)~=0 %this matrix cell contains a fracture cell + fractureMatrixFlag(matrixvsfra(i,j),:) = [matrixvsfra(i,j),i]; + matrix_cells_containing_fracture_cells = [matrix_cells_containing_fracture_cells; i]; + if mod(matrixvsfra(i,j),numberInGroup) == 1 volume_ratio = [volume_ratio; 5/6];end + if mod(matrixvsfra(i,j),numberInGroup) == 2 volume_ratio = [volume_ratio; 1/2];end + if mod(matrixvsfra(i,j),numberInGroup) == 0 volume_ratio = [volume_ratio; 1/6];end + Ninterflow=[Ninterflow;i,matrixvsfra(i,j)+nmc]; + kcell=(kx(i)*ky(i)*kz(i))^(1/3); + Knnc=kcell*Kf(matrixvsfra(i,j))/(kcell+Kf(matrixvsfra(i,j))); + Annc=2*areavsfra(matrixvsfra(i,j)); + fracore=corevsfra(matrixvsfra(i,j),:); + matnodes=nodes(i,:); + verco=coord(matnodes,:);norvec=normalvec(matrixvsfra(i,j),:); + matcore=mean(verco);d0=matcore-fracore; + dn=(x+d0(1))*norvec(1)+(y+d0(2))*norvec(2)+(z+d0(3))*norvec(3); +% dn=abs(dn);%ӰֵЧ + dn=sqrt(dn^2); + dn=matlabFunction(dn); + if norvec(1)~=0 && norvec(2)~=0 && norvec(3)~=0 + Dn=integral3(dn,-dxv(i)/2,dxv(i)/2,-dyv(i)/2,dyv(i)/2,-dzv(i)*NTG(i)/2,dzv(i)*NTG(i)/2)/(dxv(i)*dyv(i)*dzv(i)*NTG(i)); + else if norvec(1)~=0 && norvec(2)~=0 + Dn=dzv(i)*NTG(i)*integral2(dn,-dxv(i)/2,dxv(i)/2,-dyv(i)/2,dyv(i)/2)/(dxv(i)*dyv(i)*dzv(i)*NTG(i)); + else if norvec(1)~=0 && norvec(3)~=0 + Dn=dyv(i)*integral2(dn,-dxv(i)/2,dxv(i)/2,-dzv(i)*NTG(i)/2,dzv(i)*NTG(i)/2)/(dxv(i)*dyv(i)*dzv(i)*NTG(i)); + else if norvec(2)~=0 && norvec(3)~=0 + Dn=dxv(i)*integral2(dn,-dyv(i)/2,dyv(i)/2,-dzv(i)*NTG(i)/2,dzv(i)*NTG(i)/2)/(dxv(i)*dyv(i)*dzv(i)*NTG(i)); + else if norvec(1)~=0 + Dn=dyv(i)*dzv(i)*NTG(i)*integral(dn,-dxv(i)/2,dxv(i)/2)/(dxv(i)*dyv(i)*dzv(i)*NTG(i)); + else if norvec(2)~=0 + Dn=dxv(i)*dzv(i)*NTG(i)*integral(dn,-dyv(i)/2,dyv(i)/2)/(dxv(i)*dyv(i)*dzv(i)*NTG(i)); + else if norvec(3)~=0 + Dn=dxv(i)*dyv(i)*integral(dn,-dzv(i)*NTG(i)/2,dzv(i)*NTG(i)/2)/(dxv(i)*dyv(i)*dzv(i)*NTG(i)); + end + end + end + end + end + end + end + raoT=Knnc*Annc/Dn; + raoT_convection=2*Knnc/Dn^2; + Tinterflow=[Tinterflow;raoT]; + Tinterflow_convection=[Tinterflow_convection;raoT_convection]; + end + end +end +%% ⴦˴δͨûдһչ +nfc=size(fracnumber,1); +the_added_matrix_cells = []; +nmc=nx * ny*nz; +the_added_mf_connec = []; +the_added_mf_T = []; +number_of_adding = 0; +cell_divided_by_fracture_flag = matrix_cells_containing_fracture_cells; +% ¼񱻷ֳ,ɾԭеЩص +matrixCellsDivided = zeros(size(matrix_cells_containing_fracture_cells,1),2); +deletedFlag = []; +for i = 1:size(matrix_cells_containing_fracture_cells,1) + the_matrix_cell = matrix_cells_containing_fracture_cells(i,1); + number_of_adding = number_of_adding+1; + the_new_cell = number_of_adding+nmc; + the_added_matrix_cells = [the_added_matrix_cells; the_new_cell]; + matrixCellsDivided(i,:) = [the_matrix_cell, the_new_cell]; + % m-m + for j = 1:size(N,1) + if N(j,1) == the_matrix_cell || N(j,2) == the_matrix_cell + deletedFlag = [deletedFlag; j]; + end +% % % if N(j,2) == the_matrix_cell+1 +% % % N(j,1) = the_new_cell; T(j) = ... +% % % ((Kx(the_matrix_cell)*dzv(the_matrix_cell)*dyv(the_matrix_cell)/(dxv(the_matrix_cell)/3))^(-1)+(Kx(the_matrix_cell+1)*dzv(the_matrix_cell+1)*dyv(the_matrix_cell+1)/(dxv(the_matrix_cell+1)/2))^(-1))^(-1); +% % % end + +% % % if N(j,2) == the_matrix_cell-nx +% % % N(j,1) = the_new_cell; T(j) = ... +% % % ((Ky(the_matrix_cell)*dzv(the_matrix_cell)*dxv(the_matrix_cell)/(dyv(the_matrix_cell)/3))^(-1)+(Ky(the_matrix_cell-n)*dzv(the_matrix_cell-n)*dxv(the_matrix_cell-n)/(dxv(the_matrix_cell-n)/2))^(-1))^(-1); +% % % end + +% % % if N(j,1) == the_matrix_cell+1 +% % % N(j,2) = the_new_cell; T(j) = ... +% % % ((Kx(the_matrix_cell)*dzv(the_matrix_cell)*dyv(the_matrix_cell)/(dxv(the_matrix_cell)/3))^(-1)+(Kx(the_matrix_cell+1)*dzv(the_matrix_cell+1)*dyv(the_matrix_cell+1)/(dxv(the_matrix_cell+1)/2))^(-1))^(-1); +% % % end + +% % % if N(j,1) == the_matrix_cell-nx +% % % N(j,2) = the_new_cell; T(j) = ... +% % % ((Ky(the_matrix_cell)*dzv(the_matrix_cell)*dxv(the_matrix_cell)/(dyv(the_matrix_cell)/3))^(-1)+(Ky(the_matrix_cell-n)*dzv(the_matrix_cell-n)*dxv(the_matrix_cell-n)/(dxv(the_matrix_cell-n)/2))^(-1))^(-1); +% % % end + + end +end +deletedFlag = unique(deletedFlag); +N(deletedFlag,:) = []; +T(deletedFlag,:) = []; +% ѷ--ӻĶӦ󣬰ѷ˳У +fractureCell_matrixCell_addedMatrixCell = zeros(size(fractureCellFlag,1),3); +for xiang = 1:size(fractureCellFlag,1) + theFractureCell = fractureCellFlag(xiang,1); + aaa = find(fractureMatrixFlag(:,1) == theFractureCell); + theMatrixCell = fractureMatrixFlag(aaa,2); + bbb = find(matrixCellsDivided(:,1) == theMatrixCell); + theAddedMatrixCells = matrixCellsDivided(bbb,2); + fractureCell_matrixCell_addedMatrixCell(theFractureCell,:) = [theFractureCell, theMatrixCell, theAddedMatrixCells]; +end +% Щʵ +relatedN = []; +relatedT = []; +for xiang = 1:size(fractureCellFlag,1)/numberInGroup + addedNSs =[ + % ԭл xϵ + fractureCell_matrixCell_addedMatrixCell(3*xiang-2,2)-1, fractureCell_matrixCell_addedMatrixCell(3*xiang-2,2); + fractureCell_matrixCell_addedMatrixCell(3*xiang-1,2)-1, fractureCell_matrixCell_addedMatrixCell(3*xiang-1,2); + fractureCell_matrixCell_addedMatrixCell(3*xiang-0,2)-1, fractureCell_matrixCell_addedMatrixCell(3*xiang-0,2); + % Ҳӻ xϵ + fractureCell_matrixCell_addedMatrixCell(3*xiang-2,3), fractureCell_matrixCell_addedMatrixCell(3*xiang-2,2)+1; + fractureCell_matrixCell_addedMatrixCell(3*xiang-1,3), fractureCell_matrixCell_addedMatrixCell(3*xiang-1,2)+1; + fractureCell_matrixCell_addedMatrixCell(3*xiang-0,3), fractureCell_matrixCell_addedMatrixCell(3*xiang-0,2)+1; + % ԭл yϵ + fractureCell_matrixCell_addedMatrixCell(3*xiang-2,2), fractureCell_matrixCell_addedMatrixCell(3*xiang-1,2); + fractureCell_matrixCell_addedMatrixCell(3*xiang-1,2), fractureCell_matrixCell_addedMatrixCell(3*xiang-0,2); + fractureCell_matrixCell_addedMatrixCell(3*xiang-0,2), fractureCell_matrixCell_addedMatrixCell(3*xiang-0,2)+nx; + % Ҳӻ yϵ + fractureCell_matrixCell_addedMatrixCell(3*xiang-2,2)-nx, fractureCell_matrixCell_addedMatrixCell(3*xiang-2,3); + fractureCell_matrixCell_addedMatrixCell(3*xiang-2,3), fractureCell_matrixCell_addedMatrixCell(3*xiang-1,3); + fractureCell_matrixCell_addedMatrixCell(3*xiang-1,3), fractureCell_matrixCell_addedMatrixCell(3*xiang-0,3); + ]; + relatedN = [relatedN; + addedNSs + ]; + % 㴫 + addedTs = []; + for dai = 1:size(addedNSs,1) + the_matrix_cell1 = addedNSs(dai,1); the_matrix_cell2 = addedNSs(dai,2); + if the_matrix_cell1> nmc + aaa = find(fractureCell_matrixCell_addedMatrixCell(:,3) == the_matrix_cell1); + the_matrix_cell1 = fractureCell_matrixCell_addedMatrixCell(aaa,2); + end + if the_matrix_cell2> nmc + aaa = find(fractureCell_matrixCell_addedMatrixCell(:,3) == the_matrix_cell2); + the_matrix_cell2 = fractureCell_matrixCell_addedMatrixCell(aaa,2); + end + if dai == 1 + theT = ((Kx(the_matrix_cell1)*dzv(the_matrix_cell1)*dyv(the_matrix_cell1)/(dxv(the_matrix_cell1)/2))^(-1)+(Kx(the_matrix_cell2)*dzv(the_matrix_cell2)*dyv(the_matrix_cell2)/(dxv(the_matrix_cell2)/6))^(-1))^(-1); + end + if dai == 2 + theT = ((Kx(the_matrix_cell1)*dzv(the_matrix_cell1)*dyv(the_matrix_cell1)/(dxv(the_matrix_cell1)/2))^(-1)+(Kx(the_matrix_cell2)*dzv(the_matrix_cell2)*dyv(the_matrix_cell2)/(dxv(the_matrix_cell2)/4))^(-1))^(-1); + end + if dai == 3 + theT = ((Kx(the_matrix_cell1)*dzv(the_matrix_cell1)*dyv(the_matrix_cell1)/(dxv(the_matrix_cell1)/2))^(-1)+(Kx(the_matrix_cell2)*dzv(the_matrix_cell2)*dyv(the_matrix_cell2)/(dxv(the_matrix_cell2)*5/12))^(-1))^(-1); + end + if dai == 4 + theT = ((Kx(the_matrix_cell1)*dzv(the_matrix_cell1)*dyv(the_matrix_cell1)/(dxv(the_matrix_cell1)*5/12))^(-1)+(Kx(the_matrix_cell2)*dzv(the_matrix_cell2)*dyv(the_matrix_cell2)/(dxv(the_matrix_cell2)/2))^(-1))^(-1); + end + if dai == 5 + theT = ((Kx(the_matrix_cell1)*dzv(the_matrix_cell1)*dyv(the_matrix_cell1)/(dxv(the_matrix_cell1)*1/4))^(-1)+(Kx(the_matrix_cell2)*dzv(the_matrix_cell2)*dyv(the_matrix_cell2)/(dxv(the_matrix_cell2)/2))^(-1))^(-1); + end + if dai == 6 + theT = ((Kx(the_matrix_cell1)*dzv(the_matrix_cell1)*dyv(the_matrix_cell1)/(dxv(the_matrix_cell1)*1/6))^(-1)+(Kx(the_matrix_cell2)*dzv(the_matrix_cell2)*dyv(the_matrix_cell2)/(dxv(the_matrix_cell2)/2))^(-1))^(-1); + end + if dai == 7 + theT = ((Ky(the_matrix_cell1)*dzv(the_matrix_cell1)*dxv(the_matrix_cell1)*1/3/(dyv(the_matrix_cell1)/2))^(-1)+(Kx(the_matrix_cell2)*dzv(the_matrix_cell2)*dxv(the_matrix_cell2)*1/3/(dyv(the_matrix_cell2)/2))^(-1))^(-1); + end + if dai == 8 + theT = ((Ky(the_matrix_cell1)*dzv(the_matrix_cell1)*dxv(the_matrix_cell1)*2/3/(dyv(the_matrix_cell1)/2))^(-1)+(Kx(the_matrix_cell2)*dzv(the_matrix_cell2)*dxv(the_matrix_cell2)*2/3/(dyv(the_matrix_cell2)/2))^(-1))^(-1); + end + if dai == 9 + theT = ((Ky(the_matrix_cell1)*dzv(the_matrix_cell1)*dxv(the_matrix_cell1)*3/3/(dyv(the_matrix_cell1)/2))^(-1)+(Kx(the_matrix_cell2)*dzv(the_matrix_cell2)*dxv(the_matrix_cell2)*3/3/(dyv(the_matrix_cell2)/2))^(-1))^(-1); + end + if dai == 10 + theT = ((Ky(the_matrix_cell1)*dzv(the_matrix_cell1)*dxv(the_matrix_cell1)*3/3/(dyv(the_matrix_cell1)/2))^(-1)+(Kx(the_matrix_cell2)*dzv(the_matrix_cell2)*dxv(the_matrix_cell2)*3/3/(dyv(the_matrix_cell2)/2))^(-1))^(-1); + end + if dai == 11 + theT = ((Ky(the_matrix_cell1)*dzv(the_matrix_cell1)*dxv(the_matrix_cell1)*2/3/(dyv(the_matrix_cell1)/2))^(-1)+(Kx(the_matrix_cell2)*dzv(the_matrix_cell2)*dxv(the_matrix_cell2)*2/3/(dyv(the_matrix_cell2)/2))^(-1))^(-1); + end + if dai == 12 + theT = ((Ky(the_matrix_cell1)*dzv(the_matrix_cell1)*dxv(the_matrix_cell1)*1/3/(dyv(the_matrix_cell1)/2))^(-1)+(Kx(the_matrix_cell2)*dzv(the_matrix_cell2)*dxv(the_matrix_cell2)*1/3/(dyv(the_matrix_cell2)/2))^(-1))^(-1); + end +% % % ((Kx(the_matrix_cell1)*dzv(the_matrix_cell1)*dyv(the_matrix_cell1)/(dxv(the_matrix_cell1)*5/12))^(-1)+(Kx(the_matrix_cell2)*dzv(the_matrix_cell2)*dyv(the_matrix_cell2)/(dxv(the_matrix_cell2)/2))^(-1))^(-1); +% % % ((Kx(the_matrix_cell1)*dzv(the_matrix_cell1)*dyv(the_matrix_cell1)/(dxv(the_matrix_cell1)*1/4))^(-1)+(Kx(the_matrix_cell2)*dzv(the_matrix_cell2)*dyv(the_matrix_cell2)/(dxv(the_matrix_cell2)/2))^(-1))^(-1); +% % % ((Kx(the_matrix_cell1)*dzv(the_matrix_cell1)*dyv(the_matrix_cell1)/(dxv(the_matrix_cell1)*1/6))^(-1)+(Kx(the_matrix_cell2)*dzv(the_matrix_cell2)*dyv(the_matrix_cell2)/(dxv(the_matrix_cell2)/2))^(-1))^(-1); +% % % +% % % ((Ky(the_matrix_cell1)*dzv(the_matrix_cell1)*dxv(the_matrix_cell1)*1/3/(dyv(the_matrix_cell1)/2))^(-1)+(Kx(the_matrix_cell2)*dzv(the_matrix_cell2)*dxv(the_matrix_cell2)*1/3/(dyv(the_matrix_cell2)/2))^(-1))^(-1); +% % % ((Ky(the_matrix_cell1)*dzv(the_matrix_cell1)*dxv(the_matrix_cell1)*2/3/(dyv(the_matrix_cell1)/2))^(-1)+(Kx(the_matrix_cell2)*dzv(the_matrix_cell2)*dxv(the_matrix_cell2)*2/3/(dyv(the_matrix_cell2)/2))^(-1))^(-1); +% % % ((Ky(the_matrix_cell1)*dzv(the_matrix_cell1)*dxv(the_matrix_cell1)*3/3/(dyv(the_matrix_cell1)/2))^(-1)+(Kx(the_matrix_cell2)*dzv(the_matrix_cell2)*dxv(the_matrix_cell2)*3/3/(dyv(the_matrix_cell2)/2))^(-1))^(-1); +% % % +% % % ((Ky(the_matrix_cell1)*dzv(the_matrix_cell1)*dxv(the_matrix_cell1)*3/3/(dyv(the_matrix_cell1)/2))^(-1)+(Kx(the_matrix_cell2)*dzv(the_matrix_cell2)*dxv(the_matrix_cell2)*3/3/(dyv(the_matrix_cell2)/2))^(-1))^(-1); +% % % ((Ky(the_matrix_cell1)*dzv(the_matrix_cell1)*dxv(the_matrix_cell1)*2/3/(dyv(the_matrix_cell1)/2))^(-1)+(Kx(the_matrix_cell2)*dzv(the_matrix_cell2)*dxv(the_matrix_cell2)*2/3/(dyv(the_matrix_cell2)/2))^(-1))^(-1); +% % % ((Ky(the_matrix_cell1)*dzv(the_matrix_cell1)*dxv(the_matrix_cell1)*1/3/(dyv(the_matrix_cell1)/2))^(-1)+(Kx(the_matrix_cell2)*dzv(the_matrix_cell2)*dxv(the_matrix_cell2)*1/3/(dyv(the_matrix_cell2)/2))^(-1))^(-1); + + addedTs = [addedTs; theT]; + end + relatedT = [relatedT;addedTs]; +end +N = [N; relatedN]; +T = [T; relatedT]; + +% +Ninterflow(:,2) = Ninterflow(:,2)+ number_of_adding; +ori_nmc = nmc; +nmc = ori_nmc +number_of_adding; +% m-f +% number_of_adding = 0; +for i = 1:size(matrix_cells_containing_fracture_cells,1) + the_matrix_cell = matrix_cells_containing_fracture_cells(i,1); + aaa = find(fractureCell_matrixCell_addedMatrixCell(:,2) == the_matrix_cell); + the_new_cell = fractureCell_matrixCell_addedMatrixCell(aaa,3); + the_fracture_cell_flag = fractureCell_matrixCell_addedMatrixCell(aaa,1); +% number_of_adding = number_of_adding+1; +% the_new_cell = number_of_adding+ori_nmc; +for j = 1:size(Ninterflow,1) + if Ninterflow(j,1) == the_matrix_cell + the_added_mf_connec = [the_added_mf_connec;the_new_cell,Ninterflow(j,2)]; + if mod(the_fracture_cell_flag, numberInGroup) == 1 + the_added_mf_T = [the_added_mf_T; Tinterflow(j)/2*((1/4)/((1+2/3)/2))]; + Tinterflow(j) = Tinterflow(j)/2*((1/4)/((0+1/3)/2)); + end + if mod(the_fracture_cell_flag, numberInGroup) == 2 + the_added_mf_T = [the_added_mf_T; Tinterflow(j)/2]; + Tinterflow(j) = Tinterflow(j)/2; + end + if mod(the_fracture_cell_flag, numberInGroup) == 0 + the_added_mf_T = [the_added_mf_T; Tinterflow(j)/2*((1/4)/((0+1/3)/2))]; + Tinterflow(j) = Tinterflow(j)/2*((1/4)/((1+2/3)/2)); + end + end +end +end +Ninterflow = [Ninterflow; the_added_mf_connec]; +Tinterflow = [Tinterflow; the_added_mf_T]; +%% 2014ķΪƵʽ +% syms x y z; +% Ninterflow=[]; +% Tinterflow=[]; +% for i=1:nx*ny*nz % +% for j=1:10 +% if matrixvsfra(i,j)~=0 %this matrix cell contains a fracture cell +% Ninterflow=[Ninterflow;i,matrixvsfra(i,j)+nmc]; +% kcell=(kx(i)*ky(i)*kz(i))^(1/3); +% K1=Kf(matrixvsfra(i,j));d1=Wf(matrixvsfra(i,j)); +% K2=kffl(matrixvsfra(i,j));d2=dffl(matrixvsfra(i,j)); +% Annc=2*areavsfra(matrixvsfra(i,j)); +% fracore=corevsfra(matrixvsfra(i,j),:); +% matnodes=nodes(i,:); +% verco=coord(matnodes,:);norvec=normalvec(matrixvsfra(i,j),:); +% matcore=mean(verco);d0=matcore-fracore; +% dn=(x+d0(1))*norvec(1)+(y+d0(2))*norvec(2)+(z+d0(3))*norvec(3); +% % dn=abs(dn);%ӰֵЧ +% dn=sqrt(dn^2); +% dn=matlabFunction(dn); +% if norvec(1)~=0 && norvec(2)~=0 && norvec(3)~=0 +% Dn=integral3(dn,-dxv(i)/2,dxv(i)/2,-dyv(i)/2,dyv(i)/2,-dzv(i)*NTG(i)/2,dzv(i)*NTG(i)/2)/(dxv(i)*dyv(i)*dzv(i)*NTG(i)); +% else if norvec(1)~=0 && norvec(2)~=0 +% Dn=dzv(i)*NTG(i)*integral2(dn,-dxv(i)/2,dxv(i)/2,-dyv(i)/2,dyv(i)/2)/(dxv(i)*dyv(i)*dzv(i)*NTG(i)); +% else if norvec(1)~=0 && norvec(3)~=0 +% Dn=dyv(i)*integral2(dn,-dxv(i)/2,dxv(i)/2,-dzv(i)*NTG(i)/2,dzv(i)*NTG(i)/2)/(dxv(i)*dyv(i)*dzv(i)*NTG(i)); +% else if norvec(2)~=0 && norvec(3)~=0 +% Dn=dxv(i)*integral2(dn,-dyv(i)/2,dyv(i)/2,-dzv(i)*NTG(i)/2,dzv(i)*NTG(i)/2)/(dxv(i)*dyv(i)*dzv(i)*NTG(i)); +% else if norvec(1)~=0 +% Dn=dyv(i)*dzv(i)*NTG(i)*integral(dn,-dxv(i)/2,dxv(i)/2)/(dxv(i)*dyv(i)*dzv(i)*NTG(i)); +% else if norvec(2)~=0 +% Dn=dxv(i)*dzv(i)*NTG(i)*integral(dn,-dyv(i)/2,dyv(i)/2)/(dxv(i)*dyv(i)*dzv(i)*NTG(i)); +% else if norvec(3)~=0 +% Dn=dxv(i)*dyv(i)*integral(dn,-dzv(i)*NTG(i)/2,dzv(i)*NTG(i)/2)/(dxv(i)*dyv(i)*dzv(i)*NTG(i)); +% end +% end +% end +% end +% end +% end +% end +% raoT=((Kcell*Annc/(Dn-d2))^(-1)+(K2*Annc/d2)^(-1)+(K1*Annc/d1)^(-1))^(-1); +% Tinterflow=[Tinterflow;raoT]; +% end +% end +% end + +%% ľֱ +N = [N; Nmff+nmc; Nff+nmc;Ninterflow;]; +T = [T; Tmff; Tff;Tinterflow;]; +T_convection = [T_convection;Tmff_convection; Tff_convection;Tinterflow_convection;]; +nex=size(N,1); +end diff --git a/generic extended/connections_unstructured_EDFM_EX2_1to2_solutions.m b/generic extended/connections_unstructured_EDFM_EX2_1to2_solutions.m new file mode 100644 index 0000000..ac698f7 --- /dev/null +++ b/generic extended/connections_unstructured_EDFM_EX2_1to2_solutions.m @@ -0,0 +1,638 @@ +function [ matrixvsfra,connectmf,fracnumber,fracstart,corevsfra,connect_infrac,N,T,zf,fcinff,vf,porf,fcff,T_convection,mat_frac,number_of_adding,cell_divided_by_fracture_flag,volume_ratio, fractureCell_matrixCell_addedMatrixCell] = connections_unstructured_EDFM_EX2_1to2_solutions( fracturemesh,pointvsregion,raopoint,f,nf,nx,ny,nz,kx,ky,kz,kf,wf,Porf,dxv,dyv,dzv,coord,nodes,NTG,addflag ) +% úԸѷţ洢ӹϵʣǰĹؼ +% ͬڶάǶʽɢѷģͣάģУѷǶάƽ棬֮ӹϵӣ +%ܼ򵥵ôӻжڣѷزڣڣѷȴһ +%ԭȥȷconnectionsȡ· +%һ:xinkȥк󣬰θijѷţͬʱ洢ѷڵĻ +%ڶ:洢ÿѷ߽磬߽糤ȣĵ꣬ĵ㵽߽ľ룬Ϊ׼ +%:ѷ˳򣬰ձ߽ͬı߽磬ѷڵ +%matrixvsfraаѷŵ +%fracnumberűʾѷţݱʾĵ +%areavsfraűʾѷţݱʾѷ +%ÿһߣȻ˳򷴹һ +%lengthvsfraűʾѷţݱʾѷĸ߳ +%corevsfraűʾѷţݱʾѷ +%disvsfraűʾѷţݱʾѷĵߵľ +matrixvsfra=zeros(nx*ny*nz,10);%Ϊ˼ٸþĴСʵһУһ㲻г10ѷ +fracnumber=zeros(1000,20);%ʵѷһ㲻ᳬ1000Ҳɸʵı +%m=size(xink,1); +rownum=zeros(nf,1); +for i=1:nf +rownum(i)=size(fracturemesh{i,1},1); +end +%% ѷһţӸӦĻ +q=1; +fracstart=zeros(nf+1,1);%ʾܱУÿѷʼĺ +for j=1:nf + fracstart(j)=q; + numofmesh=pointvsregion{j,1}; +for i=1:1:rownum(j) + if(norm(fracturemesh{j,1}(i,:))~=0) + raoindice=size(fracturemesh{j,1}(i,:),2); + fracnumber(q,1:raoindice)=fracturemesh{j,1}(i,:);%qǸѷ +% m=floor((i+(2^nf)-1)/(2^nf)); + m=floor((i+(2^addflag(j)-1))/(2^addflag(j))); + indice=find(matrixvsfra(numofmesh(m),:)~=0); +% indice=find(matrixvsfra(numofmesh(i),:)~=0); + if (size(indice,2)==0) xiang=1; + else + rao=max(indice'); + xiang=rao(1)+1; + end + matrixvsfra(numofmesh(m),xiang)=q;%ѷŸӦĻ + q=q+1; + end +end +end +fracstart(nf+1)=q;%ѷ+1 +fracnumber(q:1000,:)=[]; + + +%% ѷ쵥ԪĻɸѡ,д +m=size(matrixvsfra,1); +mat_frac=[]; +connectmf=cell(1,4); +% for i=1:m +% if (norm(matrixvsfra(i,:))~=0) +% ConnecS = cell(1,4); +cc = 0; +cl = 1; +for i = 1 : m + %ɸѡѷĻ +% if ~isempty(matrixvsfra(i,:)) + if (norm(matrixvsfra(i,:)))~=0 + cc = cc + 1; + %洢û + connectmf{cc,1} = i; + mat_frac=[mat_frac;i]; + %Щѷ/ѷ쵥Ԫ˳ + A=matrixvsfra(i,:); + A(A==0)=[]; + connectmf{cc,2} =A; +end +end + +%% һѷѷ߽ȵ +% edgevsfra=cell(nf,1); +% Kffl=funtion_data.Kffl; +% Dffl=funtion_data.Dffl; +% kffl=zeros(q-1,1); +% dffl=zeros(q-1,1); +fractureCellFlag = (1:q-1)'; +normalvec=zeros(q-1,3);%unit +areavsfra=zeros(q-1,1);%q-1ѷ +lengthvsfra=zeros(q-1,10); +Kf=zeros(q-1,10);%ѷ͸ +corevsfra=zeros(q-1,3); +disvsfra=zeros(q-1,10); +tran=zeros(q-1,10); +avtran=zeros(q-1,1);%ѷƽںļ򻯼 +ave_disvsfra=zeros(q-1,1); +fcinff=zeros(q-1,1);%ʾѷ쵥Ԫڵѷ +zf=zeros(q-1,1);%ѷ쵥Ԫ߶ȣ±Ϊ׼ +vf=zeros(q-1,1);%ѷ쵥Ԫ +porf=zeros(q-1,1);%ѷ쵥ԪĿ϶ +for i=1:1:q-1 %ѷв + if(norm(fracnumber(i,:))==0) break; + else + for k=2:(nf+1) + if(i0 +for i=1:(q-1) + [dogindex,~]=find(deindex==i); + if length(dogindex)~=0 + newnum(i)=0; + else + [catindex,~]=find(deindex2)||((size(raoflag,2)<2))) continue;%Ϊ͹ΣֻҪѷĹԪ2йߣ + %2ͬѷΪǣһǰΣìܣ֤ϣСûйеı + else if (a==b) continue; %˵ѷ쵥ԪͬһУ˲Ӧڴ + else + raoconnect(p,q)=k;q=q+1; + lengthcat=norm(d3intersection(raoflag(1),:)-d3intersection(raoflag(2),:));%ѷ쵥Ԫ߳ + rao1k=corevsfra(k,:)-d3intersection(raoflag(1),:); + rao1j=corevsfra(j,:)-d3intersection(raoflag(1),:); + rao2=d3intersection(raoflag(1),:)-d3intersection(raoflag(2),:); + %ֱѷ쵥Ԫĵߵľ + disk=norm(cross(rao1k',rao2'))/norm(rao2); + disj=norm(cross(rao1j',rao2'))/norm(rao2); + if kf(i)==0 hartran=0;hartran_convection=0; + else + tran1=kf(i)*wf(i)*lengthcat/disk; + tran2=kf(i)*wf(i)*lengthcat/disj; +% hartran=length/(disk+disj);%ȡƽ + hartran=tran1*tran2/(tran1+tran2); + k_harmony= kf(i); + hartran_convection=kf(i)/(disk+disj)^2; + end + Nff=[Nff; j,k]; + Tff=[Tff;hartran]; + Tff_convection=[Tff_convection;hartran_convection]; + %ÿѷĵÿߵľ + end + end + p=p+1; + end + connect_infrac{i,1}=raoconnect; + end +end +Nff(1,:)=[]; %ȥһе +Tff(1,:)=[]; +Tff_convection(1,:)=[]; +%% ͬһеѷ쵥Ԫʼ +nmc=size(matrixvsfra,1); +Nmff=zeros(1,2); +Tmff=zeros(1,1); +Tmff_convection=zeros(1,1); +for i=1:nmc + if(norm(matrixvsfra(i,:))~=0) + indice=find(matrixvsfra(i,:)~=0); + n=size(indice,2); + if (n>1) %ʱҪȡļ㷨 +% lengthvsfra(matrixvsfra(i,indice))./disvsfra(matrixvsfra(i,indice)) + for j=1:n-1 + for k=(j+1):n + Nmff=[Nmff;matrixvsfra(i,indice(j)), matrixvsfra(i,indice(k))]; + % ʱļ㷽ʽÿѷƽڸûеѷ쵥Ԫƽ + fc1=matrixvsfra(i,indice(j)); fc2=matrixvsfra(i,indice(k)); + allfc=matrixvsfra(i,1:n); sumtran=sum(fcff{1,7}(allfc)); + if sumtran==0 Tmff=[Tmff; 0];Tmff_convection=[Tmff_convection;0]; + else + Tmff=[Tmff; fcff{1,7}(fc1)*fcff{1,7}(fc2)/sumtran]; + end + end + end + end + end +end +Nmff(1,:)=[]; %ȥͷ +Tmff(1,:)=[]; +Tmff_convection(1,:)=[]; +% N = [N; Nmff+nmc]; +% T = [T; Tmff]; + +%% ϵ +nmc=nx * ny*nz;%Ŀ +nfc=size(fracnumber,1);%ѷ쵥ԪĿ +rpt = [ones(nmc, 1); zeros(nfc, 1)]; +% r.rpt = rpt; +nmm = (nx-1)*ny*nz+(ny-1)*nx*nz+(nz-1)*nx*ny;%nmmǻ֮彻 +% r.nf = nmm + nff;%nffѷ쵥Ԫ֮彻 +Kx=kx.*ones(nmc,1); +Ky=ky.*ones(nmc,1); +Kz=kz.*ones(nmc,1); +N = zeros(nmm, 2);%洢֮彻 +T = zeros(nmm, 1);%洢ӦNĴϵ +T_convection = zeros(nmm, 1); +c = 0; +for k= 1 : nz +for j = 1 : ny + for i = 1 : nx - 1 + c = c + 1; + index = i + (j - 1) * nx + (k - 1) * nx * ny; + indexn = index + 1; + N(c, :) = [index, indexn]; + T(c) = 2 * dzv(index)*dyv(index)*Kx(index)*Kx(indexn)*NTG(index)*NTG(indexn)/(Kx(index)*dxv(indexn)*NTG(index) + Kx(indexn)*dxv(index)*NTG(indexn)); + T_convection(c) = 2/(1/Kx(index)+1/Kx(indexn))/(dxv(indexn)+dxv(index)); + end +end +end + +for k= 1 : nz +for i = 1 : nx + for j = 1 : ny - 1 + c = c + 1; + index = i + (j - 1) * nx + (k - 1) * nx * ny; + indexn = index + nx; + N(c, :) = [index, indexn]; + T(c) = 2 * dzv(index)*dxv(index)*Ky(index)*Ky(indexn)/(Ky(index)*dyv(indexn) + Ky(indexn)*dyv(index)); + T_convection(c) = 2/(1/Ky(index)+1/Ky(indexn))/(dyv(indexn)+dyv(index)); + end +end +end + +for i = 1 : nx +for j = 1 : ny + for k= 1: nz-1 + c = c + 1; + index = i + (j - 1) * nx + (k - 1) * nx * ny; + indexn = index + nx * ny; + N(c, :) = [index, index + nx*ny]; + T(c) = 2 * dxv(index)*dyv(index)*Kz(index)*Kz(indexn)/(Kz(index)*dzv(indexn) + Kz(indexn)*dzv(index)); + T_convection(c) = 2/(1/Kz(index)+1/Kz(indexn))/(dzv(indexn)+dzv(index)); + end +end +end +%% 2014ķΪƵʽ +syms x y z; +Ninterflow=[]; +Tinterflow=[]; +Tinterflow_convection=[]; +matrix_cells_containing_fracture_cells = []; +volume_ratio = []; +fractureMatrixFlag = zeros(size(fractureCellFlag,1),2); +%% -------------------------------------------------------------------------˴޸֮--------------------------------------------------------------- +numberInGroup = 2; +%% -------------------------------------------------------------------------Ϸ޸Ľ--------------------------------------------------------------- +for i=1:nx*ny*nz % + for j=1:10 + if matrixvsfra(i,j)~=0 %this matrix cell contains a fracture cell + fractureMatrixFlag(matrixvsfra(i,j),:) = [matrixvsfra(i,j),i]; + matrix_cells_containing_fracture_cells = [matrix_cells_containing_fracture_cells; i]; +%% -------------------------------------------------------------------------˴޸֮--------------------------------------------------------------- + if mod(matrixvsfra(i,j),numberInGroup) == 1 volume_ratio = [volume_ratio; 3/4];end % Ҳ±ռ +% if mod(matrixvsfra(i,j),numberInGroup) == 2 volume_ratio = [volume_ratio; 1/2];end + if mod(matrixvsfra(i,j),numberInGroup) == 0 volume_ratio = [volume_ratio; 1/4];end +%% -------------------------------------------------------------------------Ϸ޸Ľ--------------------------------------------------------------- + Ninterflow=[Ninterflow;i,matrixvsfra(i,j)+nmc]; + kcell=(kx(i)*ky(i)*kz(i))^(1/3); + Knnc=kcell*Kf(matrixvsfra(i,j))/(kcell+Kf(matrixvsfra(i,j))); + Annc=2*areavsfra(matrixvsfra(i,j)); + fracore=corevsfra(matrixvsfra(i,j),:); + matnodes=nodes(i,:); + verco=coord(matnodes,:);norvec=normalvec(matrixvsfra(i,j),:); + matcore=mean(verco);d0=matcore-fracore; + dn=(x+d0(1))*norvec(1)+(y+d0(2))*norvec(2)+(z+d0(3))*norvec(3); +% dn=abs(dn);%ӰֵЧ + dn=sqrt(dn^2); + dn=matlabFunction(dn); + if norvec(1)~=0 && norvec(2)~=0 && norvec(3)~=0 + Dn=integral3(dn,-dxv(i)/2,dxv(i)/2,-dyv(i)/2,dyv(i)/2,-dzv(i)*NTG(i)/2,dzv(i)*NTG(i)/2)/(dxv(i)*dyv(i)*dzv(i)*NTG(i)); + else if norvec(1)~=0 && norvec(2)~=0 + Dn=dzv(i)*NTG(i)*integral2(dn,-dxv(i)/2,dxv(i)/2,-dyv(i)/2,dyv(i)/2)/(dxv(i)*dyv(i)*dzv(i)*NTG(i)); + else if norvec(1)~=0 && norvec(3)~=0 + Dn=dyv(i)*integral2(dn,-dxv(i)/2,dxv(i)/2,-dzv(i)*NTG(i)/2,dzv(i)*NTG(i)/2)/(dxv(i)*dyv(i)*dzv(i)*NTG(i)); + else if norvec(2)~=0 && norvec(3)~=0 + Dn=dxv(i)*integral2(dn,-dyv(i)/2,dyv(i)/2,-dzv(i)*NTG(i)/2,dzv(i)*NTG(i)/2)/(dxv(i)*dyv(i)*dzv(i)*NTG(i)); + else if norvec(1)~=0 + Dn=dyv(i)*dzv(i)*NTG(i)*integral(dn,-dxv(i)/2,dxv(i)/2)/(dxv(i)*dyv(i)*dzv(i)*NTG(i)); + else if norvec(2)~=0 + Dn=dxv(i)*dzv(i)*NTG(i)*integral(dn,-dyv(i)/2,dyv(i)/2)/(dxv(i)*dyv(i)*dzv(i)*NTG(i)); + else if norvec(3)~=0 + Dn=dxv(i)*dyv(i)*integral(dn,-dzv(i)*NTG(i)/2,dzv(i)*NTG(i)/2)/(dxv(i)*dyv(i)*dzv(i)*NTG(i)); + end + end + end + end + end + end + end + raoT=Knnc*Annc/Dn; + raoT_convection=2*Knnc/Dn^2; + Tinterflow=[Tinterflow;raoT]; + Tinterflow_convection=[Tinterflow_convection;raoT_convection]; + end + end +end +%% ⴦˴δͨûдһչ +nfc=size(fracnumber,1); +the_added_matrix_cells = []; +nmc=nx * ny*nz; +the_added_mf_connec = []; +the_added_mf_T = []; +number_of_adding = 0; +cell_divided_by_fracture_flag = matrix_cells_containing_fracture_cells; +% ¼񱻷ֳ,ɾԭеЩص +matrixCellsDivided = zeros(size(matrix_cells_containing_fracture_cells,1),2); +deletedFlag = []; +for i = 1:size(matrix_cells_containing_fracture_cells,1) + the_matrix_cell = matrix_cells_containing_fracture_cells(i,1); + number_of_adding = number_of_adding+1; + the_new_cell = number_of_adding+nmc; + the_added_matrix_cells = [the_added_matrix_cells; the_new_cell]; + matrixCellsDivided(i,:) = [the_matrix_cell, the_new_cell]; + % m-m + for j = 1:size(N,1) + if N(j,1) == the_matrix_cell || N(j,2) == the_matrix_cell + deletedFlag = [deletedFlag; j]; + end +% % % if N(j,2) == the_matrix_cell+1 +% % % N(j,1) = the_new_cell; T(j) = ... +% % % ((Kx(the_matrix_cell)*dzv(the_matrix_cell)*dyv(the_matrix_cell)/(dxv(the_matrix_cell)/3))^(-1)+(Kx(the_matrix_cell+1)*dzv(the_matrix_cell+1)*dyv(the_matrix_cell+1)/(dxv(the_matrix_cell+1)/2))^(-1))^(-1); +% % % end + +% % % if N(j,2) == the_matrix_cell-nx +% % % N(j,1) = the_new_cell; T(j) = ... +% % % ((Ky(the_matrix_cell)*dzv(the_matrix_cell)*dxv(the_matrix_cell)/(dyv(the_matrix_cell)/3))^(-1)+(Ky(the_matrix_cell-n)*dzv(the_matrix_cell-n)*dxv(the_matrix_cell-n)/(dxv(the_matrix_cell-n)/2))^(-1))^(-1); +% % % end + +% % % if N(j,1) == the_matrix_cell+1 +% % % N(j,2) = the_new_cell; T(j) = ... +% % % ((Kx(the_matrix_cell)*dzv(the_matrix_cell)*dyv(the_matrix_cell)/(dxv(the_matrix_cell)/3))^(-1)+(Kx(the_matrix_cell+1)*dzv(the_matrix_cell+1)*dyv(the_matrix_cell+1)/(dxv(the_matrix_cell+1)/2))^(-1))^(-1); +% % % end + +% % % if N(j,1) == the_matrix_cell-nx +% % % N(j,2) = the_new_cell; T(j) = ... +% % % ((Ky(the_matrix_cell)*dzv(the_matrix_cell)*dxv(the_matrix_cell)/(dyv(the_matrix_cell)/3))^(-1)+(Ky(the_matrix_cell-n)*dzv(the_matrix_cell-n)*dxv(the_matrix_cell-n)/(dxv(the_matrix_cell-n)/2))^(-1))^(-1); +% % % end + + end +end +deletedFlag = unique(deletedFlag); +N(deletedFlag,:) = []; +T(deletedFlag,:) = []; +% ѷ--ӻĶӦ󣬰ѷ˳У +fractureCell_matrixCell_addedMatrixCell = zeros(size(fractureCellFlag,1),3); +for xiang = 1:size(fractureCellFlag,1) + theFractureCell = fractureCellFlag(xiang,1); + aaa = find(fractureMatrixFlag(:,1) == theFractureCell); + theMatrixCell = fractureMatrixFlag(aaa,2); + bbb = find(matrixCellsDivided(:,1) == theMatrixCell); + theAddedMatrixCells = matrixCellsDivided(bbb,2); + fractureCell_matrixCell_addedMatrixCell(theFractureCell,:) = [theFractureCell, theMatrixCell, theAddedMatrixCells]; +end +% Щʵ +relatedN = []; +relatedT = []; +for xiang = 1:size(fractureCellFlag,1)/numberInGroup +%% -------------------------------------------------------------------------˴޸֮----------------------------------------------------------------------- + addedNSs =[ + % ԭл xϵ +% fractureCell_matrixCell_addedMatrixCell(numberInGroup*xiang-2,2)-1, fractureCell_matrixCell_addedMatrixCell(numberInGroup*xiang-2,2); + fractureCell_matrixCell_addedMatrixCell(numberInGroup*xiang-1,2)-1, fractureCell_matrixCell_addedMatrixCell(numberInGroup*xiang-1,2); + fractureCell_matrixCell_addedMatrixCell(numberInGroup*xiang-0,2)-1, fractureCell_matrixCell_addedMatrixCell(numberInGroup*xiang-0,2); + % Ҳӻ xϵ +% fractureCell_matrixCell_addedMatrixCell(numberInGroup*xiang-2,3), fractureCell_matrixCell_addedMatrixCell(numberInGroup*xiang-2,2)+1; + fractureCell_matrixCell_addedMatrixCell(numberInGroup*xiang-1,3), fractureCell_matrixCell_addedMatrixCell(numberInGroup*xiang-1,2)+1; + fractureCell_matrixCell_addedMatrixCell(numberInGroup*xiang-0,3), fractureCell_matrixCell_addedMatrixCell(numberInGroup*xiang-0,2)+1; + % ԭл yϵ +% fractureCell_matrixCell_addedMatrixCell(numberInGroup*xiang-2,2), fractureCell_matrixCell_addedMatrixCell(numberInGroup*xiang-1,2); + fractureCell_matrixCell_addedMatrixCell(numberInGroup*xiang-1,2), fractureCell_matrixCell_addedMatrixCell(numberInGroup*xiang-0,2); + fractureCell_matrixCell_addedMatrixCell(numberInGroup*xiang-0,2), fractureCell_matrixCell_addedMatrixCell(numberInGroup*xiang-0,2)+nx; + % Ҳӻ yϵ + fractureCell_matrixCell_addedMatrixCell(numberInGroup*xiang-1,2)-nx, fractureCell_matrixCell_addedMatrixCell(numberInGroup*xiang-1,3); +% fractureCell_matrixCell_addedMatrixCell(numberInGroup*xiang-2,3), fractureCell_matrixCell_addedMatrixCell(numberInGroup*xiang-1,3); + fractureCell_matrixCell_addedMatrixCell(numberInGroup*xiang-1,3), fractureCell_matrixCell_addedMatrixCell(numberInGroup*xiang-0,3); + ]; +%% --------------------------------------------------------------˴޸Ľ----------------------------------------------------------------- + relatedN = [relatedN; + addedNSs + ]; + % 㴫 + addedTs = []; + for dai = 1:size(addedNSs,1) + the_matrix_cell1 = addedNSs(dai,1); the_matrix_cell2 = addedNSs(dai,2); + if the_matrix_cell1> nmc + aaa = find(fractureCell_matrixCell_addedMatrixCell(:,3) == the_matrix_cell1); + the_matrix_cell1 = fractureCell_matrixCell_addedMatrixCell(aaa,2); + end + if the_matrix_cell2> nmc + aaa = find(fractureCell_matrixCell_addedMatrixCell(:,3) == the_matrix_cell2); + the_matrix_cell2 = fractureCell_matrixCell_addedMatrixCell(aaa,2); + end +%% -------------------------------------------------------------------------˴޸֮----------------------------------------------------------------------- +% if dai == 1 +% theT = ((Kx(the_matrix_cell1)*dzv(the_matrix_cell1)*dyv(the_matrix_cell1)/(dxv(the_matrix_cell1)/2))^(-1)+(Kx(the_matrix_cell2)*dzv(the_matrix_cell2)*dyv(the_matrix_cell2)/(dxv(the_matrix_cell2)/6))^(-1))^(-1); +% end + if dai == 1 + theT = ((Kx(the_matrix_cell1)*dzv(the_matrix_cell1)*dyv(the_matrix_cell1)/(dxv(the_matrix_cell1)/2))^(-1)+(Kx(the_matrix_cell2)*dzv(the_matrix_cell2)*dyv(the_matrix_cell2)/(dxv(the_matrix_cell2)*1/8))^(-1))^(-1); + end + if dai == 2 + theT = ((Kx(the_matrix_cell1)*dzv(the_matrix_cell1)*dyv(the_matrix_cell1)/(dxv(the_matrix_cell1)/2))^(-1)+(Kx(the_matrix_cell2)*dzv(the_matrix_cell2)*dyv(the_matrix_cell2)/(dxv(the_matrix_cell2)*3/8))^(-1))^(-1); + end +% if dai == 4 +% theT = ((Kx(the_matrix_cell1)*dzv(the_matrix_cell1)*dyv(the_matrix_cell1)/(dxv(the_matrix_cell1)*5/12))^(-1)+(Kx(the_matrix_cell2)*dzv(the_matrix_cell2)*dyv(the_matrix_cell2)/(dxv(the_matrix_cell2)/2))^(-1))^(-1); +% end + if dai == 3 + theT = ((Kx(the_matrix_cell1)*dzv(the_matrix_cell1)*dyv(the_matrix_cell1)/(dxv(the_matrix_cell1)*3/8))^(-1)+(Kx(the_matrix_cell2)*dzv(the_matrix_cell2)*dyv(the_matrix_cell2)/(dxv(the_matrix_cell2)/2))^(-1))^(-1); + end + if dai == 4 + theT = ((Kx(the_matrix_cell1)*dzv(the_matrix_cell1)*dyv(the_matrix_cell1)/(dxv(the_matrix_cell1)*1/8))^(-1)+(Kx(the_matrix_cell2)*dzv(the_matrix_cell2)*dyv(the_matrix_cell2)/(dxv(the_matrix_cell2)/2))^(-1))^(-1); + end +% if dai == 7 +% theT = ((Ky(the_matrix_cell1)*dzv(the_matrix_cell1)*dxv(the_matrix_cell1)*1/3/(dyv(the_matrix_cell1)/2))^(-1)+(Kx(the_matrix_cell2)*dzv(the_matrix_cell2)*dxv(the_matrix_cell2)*1/3/(dyv(the_matrix_cell2)/2))^(-1))^(-1); +% end + if dai == 5 + theT = ((Ky(the_matrix_cell1)*dzv(the_matrix_cell1)*dxv(the_matrix_cell1)*1/2/(dyv(the_matrix_cell1)/2))^(-1)+(Kx(the_matrix_cell2)*dzv(the_matrix_cell2)*dxv(the_matrix_cell2)*1/2/(dyv(the_matrix_cell2)/2))^(-1))^(-1); + end + if dai == 6 + theT = ((Ky(the_matrix_cell1)*dzv(the_matrix_cell1)*dxv(the_matrix_cell1)*2/2/(dyv(the_matrix_cell1)/2))^(-1)+(Kx(the_matrix_cell2)*dzv(the_matrix_cell2)*dxv(the_matrix_cell2)*2/2/(dyv(the_matrix_cell2)/2))^(-1))^(-1); + end + if dai == 7 + theT = ((Ky(the_matrix_cell1)*dzv(the_matrix_cell1)*dxv(the_matrix_cell1)*2/2/(dyv(the_matrix_cell1)/2))^(-1)+(Kx(the_matrix_cell2)*dzv(the_matrix_cell2)*dxv(the_matrix_cell2)*2/2/(dyv(the_matrix_cell2)/2))^(-1))^(-1); + end +% if dai == 11 +% theT = ((Ky(the_matrix_cell1)*dzv(the_matrix_cell1)*dxv(the_matrix_cell1)*2/3/(dyv(the_matrix_cell1)/2))^(-1)+(Kx(the_matrix_cell2)*dzv(the_matrix_cell2)*dxv(the_matrix_cell2)*2/3/(dyv(the_matrix_cell2)/2))^(-1))^(-1); +% end + if dai == 8 + theT = ((Ky(the_matrix_cell1)*dzv(the_matrix_cell1)*dxv(the_matrix_cell1)*1/2/(dyv(the_matrix_cell1)/2))^(-1)+(Kx(the_matrix_cell2)*dzv(the_matrix_cell2)*dxv(the_matrix_cell2)*1/2/(dyv(the_matrix_cell2)/2))^(-1))^(-1); + end +%% -------------------------------------------------------------------------˴޸Ľ----------------------------------------------------------------------- +% % % ((Kx(the_matrix_cell1)*dzv(the_matrix_cell1)*dyv(the_matrix_cell1)/(dxv(the_matrix_cell1)*5/12))^(-1)+(Kx(the_matrix_cell2)*dzv(the_matrix_cell2)*dyv(the_matrix_cell2)/(dxv(the_matrix_cell2)/2))^(-1))^(-1); +% % % ((Kx(the_matrix_cell1)*dzv(the_matrix_cell1)*dyv(the_matrix_cell1)/(dxv(the_matrix_cell1)*1/4))^(-1)+(Kx(the_matrix_cell2)*dzv(the_matrix_cell2)*dyv(the_matrix_cell2)/(dxv(the_matrix_cell2)/2))^(-1))^(-1); +% % % ((Kx(the_matrix_cell1)*dzv(the_matrix_cell1)*dyv(the_matrix_cell1)/(dxv(the_matrix_cell1)*1/6))^(-1)+(Kx(the_matrix_cell2)*dzv(the_matrix_cell2)*dyv(the_matrix_cell2)/(dxv(the_matrix_cell2)/2))^(-1))^(-1); +% % % +% % % ((Ky(the_matrix_cell1)*dzv(the_matrix_cell1)*dxv(the_matrix_cell1)*1/3/(dyv(the_matrix_cell1)/2))^(-1)+(Kx(the_matrix_cell2)*dzv(the_matrix_cell2)*dxv(the_matrix_cell2)*1/3/(dyv(the_matrix_cell2)/2))^(-1))^(-1); +% % % ((Ky(the_matrix_cell1)*dzv(the_matrix_cell1)*dxv(the_matrix_cell1)*2/3/(dyv(the_matrix_cell1)/2))^(-1)+(Kx(the_matrix_cell2)*dzv(the_matrix_cell2)*dxv(the_matrix_cell2)*2/3/(dyv(the_matrix_cell2)/2))^(-1))^(-1); +% % % ((Ky(the_matrix_cell1)*dzv(the_matrix_cell1)*dxv(the_matrix_cell1)*3/3/(dyv(the_matrix_cell1)/2))^(-1)+(Kx(the_matrix_cell2)*dzv(the_matrix_cell2)*dxv(the_matrix_cell2)*3/3/(dyv(the_matrix_cell2)/2))^(-1))^(-1); +% % % +% % % ((Ky(the_matrix_cell1)*dzv(the_matrix_cell1)*dxv(the_matrix_cell1)*3/3/(dyv(the_matrix_cell1)/2))^(-1)+(Kx(the_matrix_cell2)*dzv(the_matrix_cell2)*dxv(the_matrix_cell2)*3/3/(dyv(the_matrix_cell2)/2))^(-1))^(-1); +% % % ((Ky(the_matrix_cell1)*dzv(the_matrix_cell1)*dxv(the_matrix_cell1)*2/3/(dyv(the_matrix_cell1)/2))^(-1)+(Kx(the_matrix_cell2)*dzv(the_matrix_cell2)*dxv(the_matrix_cell2)*2/3/(dyv(the_matrix_cell2)/2))^(-1))^(-1); +% % % ((Ky(the_matrix_cell1)*dzv(the_matrix_cell1)*dxv(the_matrix_cell1)*1/3/(dyv(the_matrix_cell1)/2))^(-1)+(Kx(the_matrix_cell2)*dzv(the_matrix_cell2)*dxv(the_matrix_cell2)*1/3/(dyv(the_matrix_cell2)/2))^(-1))^(-1); + + addedTs = [addedTs; theT]; + end + relatedT = [relatedT;addedTs]; +end +N = [N; relatedN]; +T = [T; relatedT]; +% +Ninterflow(:,2) = Ninterflow(:,2)+ number_of_adding; +ori_nmc = nmc; +nmc = ori_nmc +number_of_adding; +% m-f +% number_of_adding = 0; +for i = 1:size(matrix_cells_containing_fracture_cells,1) + the_matrix_cell = matrix_cells_containing_fracture_cells(i,1); + aaa = find(fractureCell_matrixCell_addedMatrixCell(:,2) == the_matrix_cell); + the_new_cell = fractureCell_matrixCell_addedMatrixCell(aaa,3); + the_fracture_cell_flag = fractureCell_matrixCell_addedMatrixCell(aaa,1); +% number_of_adding = number_of_adding+1; +% the_new_cell = number_of_adding+ori_nmc; +for j = 1:size(Ninterflow,1) + if Ninterflow(j,1) == the_matrix_cell + the_added_mf_connec = [the_added_mf_connec;the_new_cell,Ninterflow(j,2)]; +%% -------------------------------------------------------------------------˴޸֮----------------------------------------------------------------------- + if mod(the_fracture_cell_flag, numberInGroup) == 1 + the_added_mf_T = [the_added_mf_T; Tinterflow(j)/2*((1/4)/((1+1/2)/4))]; + Tinterflow(j) = Tinterflow(j)/2*((1/4)/((2-1-1/2)/4)); + end +% % % if mod(the_fracture_cell_flag, numberInGroup) == 2 +% % % the_added_mf_T = [the_added_mf_T; Tinterflow(j)/2]; +% % % Tinterflow(j) = Tinterflow(j)/2; +% % % end + if mod(the_fracture_cell_flag, numberInGroup) == 0 + the_added_mf_T = [the_added_mf_T; Tinterflow(j)/2*((1/4)/((1/2+0)/4))]; + Tinterflow(j) = Tinterflow(j)/2*((1/4)/((1/2+0)/4)); + end +%% -------------------------------------------------------------------------˴޸֮----------------------------------------------------------------------- + end +end +end +Ninterflow = [Ninterflow; the_added_mf_connec]; +Tinterflow = [Tinterflow; the_added_mf_T]; +%% 2014ķΪƵʽ +% syms x y z; +% Ninterflow=[]; +% Tinterflow=[]; +% for i=1:nx*ny*nz % +% for j=1:10 +% if matrixvsfra(i,j)~=0 %this matrix cell contains a fracture cell +% Ninterflow=[Ninterflow;i,matrixvsfra(i,j)+nmc]; +% kcell=(kx(i)*ky(i)*kz(i))^(1/3); +% K1=Kf(matrixvsfra(i,j));d1=Wf(matrixvsfra(i,j)); +% K2=kffl(matrixvsfra(i,j));d2=dffl(matrixvsfra(i,j)); +% Annc=2*areavsfra(matrixvsfra(i,j)); +% fracore=corevsfra(matrixvsfra(i,j),:); +% matnodes=nodes(i,:); +% verco=coord(matnodes,:);norvec=normalvec(matrixvsfra(i,j),:); +% matcore=mean(verco);d0=matcore-fracore; +% dn=(x+d0(1))*norvec(1)+(y+d0(2))*norvec(2)+(z+d0(3))*norvec(3); +% % dn=abs(dn);%ӰֵЧ +% dn=sqrt(dn^2); +% dn=matlabFunction(dn); +% if norvec(1)~=0 && norvec(2)~=0 && norvec(3)~=0 +% Dn=integral3(dn,-dxv(i)/2,dxv(i)/2,-dyv(i)/2,dyv(i)/2,-dzv(i)*NTG(i)/2,dzv(i)*NTG(i)/2)/(dxv(i)*dyv(i)*dzv(i)*NTG(i)); +% else if norvec(1)~=0 && norvec(2)~=0 +% Dn=dzv(i)*NTG(i)*integral2(dn,-dxv(i)/2,dxv(i)/2,-dyv(i)/2,dyv(i)/2)/(dxv(i)*dyv(i)*dzv(i)*NTG(i)); +% else if norvec(1)~=0 && norvec(3)~=0 +% Dn=dyv(i)*integral2(dn,-dxv(i)/2,dxv(i)/2,-dzv(i)*NTG(i)/2,dzv(i)*NTG(i)/2)/(dxv(i)*dyv(i)*dzv(i)*NTG(i)); +% else if norvec(2)~=0 && norvec(3)~=0 +% Dn=dxv(i)*integral2(dn,-dyv(i)/2,dyv(i)/2,-dzv(i)*NTG(i)/2,dzv(i)*NTG(i)/2)/(dxv(i)*dyv(i)*dzv(i)*NTG(i)); +% else if norvec(1)~=0 +% Dn=dyv(i)*dzv(i)*NTG(i)*integral(dn,-dxv(i)/2,dxv(i)/2)/(dxv(i)*dyv(i)*dzv(i)*NTG(i)); +% else if norvec(2)~=0 +% Dn=dxv(i)*dzv(i)*NTG(i)*integral(dn,-dyv(i)/2,dyv(i)/2)/(dxv(i)*dyv(i)*dzv(i)*NTG(i)); +% else if norvec(3)~=0 +% Dn=dxv(i)*dyv(i)*integral(dn,-dzv(i)*NTG(i)/2,dzv(i)*NTG(i)/2)/(dxv(i)*dyv(i)*dzv(i)*NTG(i)); +% end +% end +% end +% end +% end +% end +% end +% raoT=((Kcell*Annc/(Dn-d2))^(-1)+(K2*Annc/d2)^(-1)+(K1*Annc/d1)^(-1))^(-1); +% Tinterflow=[Tinterflow;raoT]; +% end +% end +% end + +%% ľֱ +N = [N; Nmff+nmc; Nff+nmc;Ninterflow;]; +T = [T; Tmff; Tff;Tinterflow;]; +T_convection = [T_convection;Tmff_convection; Tff_convection;Tinterflow_convection;]; +nex=size(N,1); +end diff --git a/generic extended/connections_unstructured_EDFM_EX2_1to3_solutions.m b/generic extended/connections_unstructured_EDFM_EX2_1to3_solutions.m new file mode 100644 index 0000000..164d7b9 --- /dev/null +++ b/generic extended/connections_unstructured_EDFM_EX2_1to3_solutions.m @@ -0,0 +1,638 @@ +function [ matrixvsfra,connectmf,fracnumber,fracstart,corevsfra,connect_infrac,N,T,zf,fcinff,vf,porf,fcff,T_convection,mat_frac,number_of_adding,cell_divided_by_fracture_flag,volume_ratio, fractureCell_matrixCell_addedMatrixCell] = connections_unstructured_EDFM_EX2_1to3_solutions( fracturemesh,pointvsregion,raopoint,f,nf,nx,ny,nz,kx,ky,kz,kf,wf,Porf,dxv,dyv,dzv,coord,nodes,NTG,addflag ) +% úԸѷţ洢ӹϵʣǰĹؼ +% ͬڶάǶʽɢѷģͣάģУѷǶάƽ棬֮ӹϵӣ +%ܼ򵥵ôӻжڣѷزڣڣѷȴһ +%ԭȥȷconnectionsȡ· +%һ:xinkȥк󣬰θijѷţͬʱ洢ѷڵĻ +%ڶ:洢ÿѷ߽磬߽糤ȣĵ꣬ĵ㵽߽ľ룬Ϊ׼ +%:ѷ˳򣬰ձ߽ͬı߽磬ѷڵ +%matrixvsfraаѷŵ +%fracnumberűʾѷţݱʾĵ +%areavsfraűʾѷţݱʾѷ +%ÿһߣȻ˳򷴹һ +%lengthvsfraűʾѷţݱʾѷĸ߳ +%corevsfraűʾѷţݱʾѷ +%disvsfraűʾѷţݱʾѷĵߵľ +matrixvsfra=zeros(nx*ny*nz,10);%Ϊ˼ٸþĴСʵһУһ㲻г10ѷ +fracnumber=zeros(1000,20);%ʵѷһ㲻ᳬ1000Ҳɸʵı +%m=size(xink,1); +rownum=zeros(nf,1); +for i=1:nf +rownum(i)=size(fracturemesh{i,1},1); +end +%% ѷһţӸӦĻ +q=1; +fracstart=zeros(nf+1,1);%ʾܱУÿѷʼĺ +for j=1:nf + fracstart(j)=q; + numofmesh=pointvsregion{j,1}; +for i=1:1:rownum(j) + if(norm(fracturemesh{j,1}(i,:))~=0) + raoindice=size(fracturemesh{j,1}(i,:),2); + fracnumber(q,1:raoindice)=fracturemesh{j,1}(i,:);%qǸѷ +% m=floor((i+(2^nf)-1)/(2^nf)); + m=floor((i+(2^addflag(j)-1))/(2^addflag(j))); + indice=find(matrixvsfra(numofmesh(m),:)~=0); +% indice=find(matrixvsfra(numofmesh(i),:)~=0); + if (size(indice,2)==0) xiang=1; + else + rao=max(indice'); + xiang=rao(1)+1; + end + matrixvsfra(numofmesh(m),xiang)=q;%ѷŸӦĻ + q=q+1; + end +end +end +fracstart(nf+1)=q;%ѷ+1 +fracnumber(q:1000,:)=[]; + + +%% ѷ쵥ԪĻɸѡ,д +m=size(matrixvsfra,1); +mat_frac=[]; +connectmf=cell(1,4); +% for i=1:m +% if (norm(matrixvsfra(i,:))~=0) +% ConnecS = cell(1,4); +cc = 0; +cl = 1; +for i = 1 : m + %ɸѡѷĻ +% if ~isempty(matrixvsfra(i,:)) + if (norm(matrixvsfra(i,:)))~=0 + cc = cc + 1; + %洢û + connectmf{cc,1} = i; + mat_frac=[mat_frac;i]; + %Щѷ/ѷ쵥Ԫ˳ + A=matrixvsfra(i,:); + A(A==0)=[]; + connectmf{cc,2} =A; +end +end + +%% һѷѷ߽ȵ +% edgevsfra=cell(nf,1); +% Kffl=funtion_data.Kffl; +% Dffl=funtion_data.Dffl; +% kffl=zeros(q-1,1); +% dffl=zeros(q-1,1); +fractureCellFlag = (1:q-1)'; +normalvec=zeros(q-1,3);%unit +areavsfra=zeros(q-1,1);%q-1ѷ +lengthvsfra=zeros(q-1,10); +Kf=zeros(q-1,10);%ѷ͸ +corevsfra=zeros(q-1,3); +disvsfra=zeros(q-1,10); +tran=zeros(q-1,10); +avtran=zeros(q-1,1);%ѷƽںļ򻯼 +ave_disvsfra=zeros(q-1,1); +fcinff=zeros(q-1,1);%ʾѷ쵥Ԫڵѷ +zf=zeros(q-1,1);%ѷ쵥Ԫ߶ȣ±Ϊ׼ +vf=zeros(q-1,1);%ѷ쵥Ԫ +porf=zeros(q-1,1);%ѷ쵥ԪĿ϶ +for i=1:1:q-1 %ѷв + if(norm(fracnumber(i,:))==0) break; + else + for k=2:(nf+1) + if(i0 +for i=1:(q-1) + [dogindex,~]=find(deindex==i); + if length(dogindex)~=0 + newnum(i)=0; + else + [catindex,~]=find(deindex2)||((size(raoflag,2)<2))) continue;%Ϊ͹ΣֻҪѷĹԪ2йߣ + %2ͬѷΪǣһǰΣìܣ֤ϣСûйеı + else if (a==b) continue; %˵ѷ쵥ԪͬһУ˲Ӧڴ + else + raoconnect(p,q)=k;q=q+1; + lengthcat=norm(d3intersection(raoflag(1),:)-d3intersection(raoflag(2),:));%ѷ쵥Ԫ߳ + rao1k=corevsfra(k,:)-d3intersection(raoflag(1),:); + rao1j=corevsfra(j,:)-d3intersection(raoflag(1),:); + rao2=d3intersection(raoflag(1),:)-d3intersection(raoflag(2),:); + %ֱѷ쵥Ԫĵߵľ + disk=norm(cross(rao1k',rao2'))/norm(rao2); + disj=norm(cross(rao1j',rao2'))/norm(rao2); + if kf(i)==0 hartran=0;hartran_convection=0; + else + tran1=kf(i)*wf(i)*lengthcat/disk; + tran2=kf(i)*wf(i)*lengthcat/disj; +% hartran=length/(disk+disj);%ȡƽ + hartran=tran1*tran2/(tran1+tran2); + k_harmony= kf(i); + hartran_convection=kf(i)/(disk+disj)^2; + end + Nff=[Nff; j,k]; + Tff=[Tff;hartran]; + Tff_convection=[Tff_convection;hartran_convection]; + %ÿѷĵÿߵľ + end + end + p=p+1; + end + connect_infrac{i,1}=raoconnect; + end +end +Nff(1,:)=[]; %ȥһе +Tff(1,:)=[]; +Tff_convection(1,:)=[]; +%% ͬһеѷ쵥Ԫʼ +nmc=size(matrixvsfra,1); +Nmff=zeros(1,2); +Tmff=zeros(1,1); +Tmff_convection=zeros(1,1); +for i=1:nmc + if(norm(matrixvsfra(i,:))~=0) + indice=find(matrixvsfra(i,:)~=0); + n=size(indice,2); + if (n>1) %ʱҪȡļ㷨 +% lengthvsfra(matrixvsfra(i,indice))./disvsfra(matrixvsfra(i,indice)) + for j=1:n-1 + for k=(j+1):n + Nmff=[Nmff;matrixvsfra(i,indice(j)), matrixvsfra(i,indice(k))]; + % ʱļ㷽ʽÿѷƽڸûеѷ쵥Ԫƽ + fc1=matrixvsfra(i,indice(j)); fc2=matrixvsfra(i,indice(k)); + allfc=matrixvsfra(i,1:n); sumtran=sum(fcff{1,7}(allfc)); + if sumtran==0 Tmff=[Tmff; 0];Tmff_convection=[Tmff_convection;0]; + else + Tmff=[Tmff; fcff{1,7}(fc1)*fcff{1,7}(fc2)/sumtran]; + end + end + end + end + end +end +Nmff(1,:)=[]; %ȥͷ +Tmff(1,:)=[]; +Tmff_convection(1,:)=[]; +% N = [N; Nmff+nmc]; +% T = [T; Tmff]; + +%% ϵ +nmc=nx * ny*nz;%Ŀ +nfc=size(fracnumber,1);%ѷ쵥ԪĿ +rpt = [ones(nmc, 1); zeros(nfc, 1)]; +% r.rpt = rpt; +nmm = (nx-1)*ny*nz+(ny-1)*nx*nz+(nz-1)*nx*ny;%nmmǻ֮彻 +% r.nf = nmm + nff;%nffѷ쵥Ԫ֮彻 +Kx=kx.*ones(nmc,1); +Ky=ky.*ones(nmc,1); +Kz=kz.*ones(nmc,1); +N = zeros(nmm, 2);%洢֮彻 +T = zeros(nmm, 1);%洢ӦNĴϵ +T_convection = zeros(nmm, 1); +c = 0; +for k= 1 : nz +for j = 1 : ny + for i = 1 : nx - 1 + c = c + 1; + index = i + (j - 1) * nx + (k - 1) * nx * ny; + indexn = index + 1; + N(c, :) = [index, indexn]; + T(c) = 2 * dzv(index)*dyv(index)*Kx(index)*Kx(indexn)*NTG(index)*NTG(indexn)/(Kx(index)*dxv(indexn)*NTG(index) + Kx(indexn)*dxv(index)*NTG(indexn)); + T_convection(c) = 2/(1/Kx(index)+1/Kx(indexn))/(dxv(indexn)+dxv(index)); + end +end +end + +for k= 1 : nz +for i = 1 : nx + for j = 1 : ny - 1 + c = c + 1; + index = i + (j - 1) * nx + (k - 1) * nx * ny; + indexn = index + nx; + N(c, :) = [index, indexn]; + T(c) = 2 * dzv(index)*dxv(index)*Ky(index)*Ky(indexn)/(Ky(index)*dyv(indexn) + Ky(indexn)*dyv(index)); + T_convection(c) = 2/(1/Ky(index)+1/Ky(indexn))/(dyv(indexn)+dyv(index)); + end +end +end + +for i = 1 : nx +for j = 1 : ny + for k= 1: nz-1 + c = c + 1; + index = i + (j - 1) * nx + (k - 1) * nx * ny; + indexn = index + nx * ny; + N(c, :) = [index, index + nx*ny]; + T(c) = 2 * dxv(index)*dyv(index)*Kz(index)*Kz(indexn)/(Kz(index)*dzv(indexn) + Kz(indexn)*dzv(index)); + T_convection(c) = 2/(1/Kz(index)+1/Kz(indexn))/(dzv(indexn)+dzv(index)); + end +end +end +%% 2014ķΪƵʽ +syms x y z; +Ninterflow=[]; +Tinterflow=[]; +Tinterflow_convection=[]; +matrix_cells_containing_fracture_cells = []; +volume_ratio = []; +fractureMatrixFlag = zeros(size(fractureCellFlag,1),2); +%% -------------------------------------------------------------------------˴޸֮--------------------------------------------------------------- +numberInGroup = 3; +%% -------------------------------------------------------------------------Ϸ޸Ľ--------------------------------------------------------------- +for i=1:nx*ny*nz % + for j=1:10 + if matrixvsfra(i,j)~=0 %this matrix cell contains a fracture cell + fractureMatrixFlag(matrixvsfra(i,j),:) = [matrixvsfra(i,j),i]; + matrix_cells_containing_fracture_cells = [matrix_cells_containing_fracture_cells; i]; +%% -------------------------------------------------------------------------˴޸֮--------------------------------------------------------------- + if mod(matrixvsfra(i,j),numberInGroup) == 1 volume_ratio = [volume_ratio; 5/6];end % Ҳ±ռ + if mod(matrixvsfra(i,j),numberInGroup) == 2 volume_ratio = [volume_ratio; 1/2];end + if mod(matrixvsfra(i,j),numberInGroup) == 0 volume_ratio = [volume_ratio; 1/6];end +%% -------------------------------------------------------------------------Ϸ޸Ľ--------------------------------------------------------------- + Ninterflow=[Ninterflow;i,matrixvsfra(i,j)+nmc]; + kcell=(kx(i)*ky(i)*kz(i))^(1/3); + Knnc=kcell*Kf(matrixvsfra(i,j))/(kcell+Kf(matrixvsfra(i,j))); + Annc=2*areavsfra(matrixvsfra(i,j)); + fracore=corevsfra(matrixvsfra(i,j),:); + matnodes=nodes(i,:); + verco=coord(matnodes,:);norvec=normalvec(matrixvsfra(i,j),:); + matcore=mean(verco);d0=matcore-fracore; + dn=(x+d0(1))*norvec(1)+(y+d0(2))*norvec(2)+(z+d0(3))*norvec(3); +% dn=abs(dn);%ӰֵЧ + dn=sqrt(dn^2); + dn=matlabFunction(dn); + if norvec(1)~=0 && norvec(2)~=0 && norvec(3)~=0 + Dn=integral3(dn,-dxv(i)/2,dxv(i)/2,-dyv(i)/2,dyv(i)/2,-dzv(i)*NTG(i)/2,dzv(i)*NTG(i)/2)/(dxv(i)*dyv(i)*dzv(i)*NTG(i)); + else if norvec(1)~=0 && norvec(2)~=0 + Dn=dzv(i)*NTG(i)*integral2(dn,-dxv(i)/2,dxv(i)/2,-dyv(i)/2,dyv(i)/2)/(dxv(i)*dyv(i)*dzv(i)*NTG(i)); + else if norvec(1)~=0 && norvec(3)~=0 + Dn=dyv(i)*integral2(dn,-dxv(i)/2,dxv(i)/2,-dzv(i)*NTG(i)/2,dzv(i)*NTG(i)/2)/(dxv(i)*dyv(i)*dzv(i)*NTG(i)); + else if norvec(2)~=0 && norvec(3)~=0 + Dn=dxv(i)*integral2(dn,-dyv(i)/2,dyv(i)/2,-dzv(i)*NTG(i)/2,dzv(i)*NTG(i)/2)/(dxv(i)*dyv(i)*dzv(i)*NTG(i)); + else if norvec(1)~=0 + Dn=dyv(i)*dzv(i)*NTG(i)*integral(dn,-dxv(i)/2,dxv(i)/2)/(dxv(i)*dyv(i)*dzv(i)*NTG(i)); + else if norvec(2)~=0 + Dn=dxv(i)*dzv(i)*NTG(i)*integral(dn,-dyv(i)/2,dyv(i)/2)/(dxv(i)*dyv(i)*dzv(i)*NTG(i)); + else if norvec(3)~=0 + Dn=dxv(i)*dyv(i)*integral(dn,-dzv(i)*NTG(i)/2,dzv(i)*NTG(i)/2)/(dxv(i)*dyv(i)*dzv(i)*NTG(i)); + end + end + end + end + end + end + end + raoT=Knnc*Annc/Dn; + raoT_convection=2*Knnc/Dn^2; + Tinterflow=[Tinterflow;raoT]; + Tinterflow_convection=[Tinterflow_convection;raoT_convection]; + end + end +end +%% ⴦˴δͨûдһչ +nfc=size(fracnumber,1); +the_added_matrix_cells = []; +nmc=nx * ny*nz; +the_added_mf_connec = []; +the_added_mf_T = []; +number_of_adding = 0; +cell_divided_by_fracture_flag = matrix_cells_containing_fracture_cells; +% ¼񱻷ֳ,ɾԭеЩص +matrixCellsDivided = zeros(size(matrix_cells_containing_fracture_cells,1),2); +deletedFlag = []; +for i = 1:size(matrix_cells_containing_fracture_cells,1) + the_matrix_cell = matrix_cells_containing_fracture_cells(i,1); + number_of_adding = number_of_adding+1; + the_new_cell = number_of_adding+nmc; + the_added_matrix_cells = [the_added_matrix_cells; the_new_cell]; + matrixCellsDivided(i,:) = [the_matrix_cell, the_new_cell]; + % m-m + for j = 1:size(N,1) + if N(j,1) == the_matrix_cell || N(j,2) == the_matrix_cell + deletedFlag = [deletedFlag; j]; + end +% % % if N(j,2) == the_matrix_cell+1 +% % % N(j,1) = the_new_cell; T(j) = ... +% % % ((Kx(the_matrix_cell)*dzv(the_matrix_cell)*dyv(the_matrix_cell)/(dxv(the_matrix_cell)/3))^(-1)+(Kx(the_matrix_cell+1)*dzv(the_matrix_cell+1)*dyv(the_matrix_cell+1)/(dxv(the_matrix_cell+1)/2))^(-1))^(-1); +% % % end + +% % % if N(j,2) == the_matrix_cell-nx +% % % N(j,1) = the_new_cell; T(j) = ... +% % % ((Ky(the_matrix_cell)*dzv(the_matrix_cell)*dxv(the_matrix_cell)/(dyv(the_matrix_cell)/3))^(-1)+(Ky(the_matrix_cell-n)*dzv(the_matrix_cell-n)*dxv(the_matrix_cell-n)/(dxv(the_matrix_cell-n)/2))^(-1))^(-1); +% % % end + +% % % if N(j,1) == the_matrix_cell+1 +% % % N(j,2) = the_new_cell; T(j) = ... +% % % ((Kx(the_matrix_cell)*dzv(the_matrix_cell)*dyv(the_matrix_cell)/(dxv(the_matrix_cell)/3))^(-1)+(Kx(the_matrix_cell+1)*dzv(the_matrix_cell+1)*dyv(the_matrix_cell+1)/(dxv(the_matrix_cell+1)/2))^(-1))^(-1); +% % % end + +% % % if N(j,1) == the_matrix_cell-nx +% % % N(j,2) = the_new_cell; T(j) = ... +% % % ((Ky(the_matrix_cell)*dzv(the_matrix_cell)*dxv(the_matrix_cell)/(dyv(the_matrix_cell)/3))^(-1)+(Ky(the_matrix_cell-n)*dzv(the_matrix_cell-n)*dxv(the_matrix_cell-n)/(dxv(the_matrix_cell-n)/2))^(-1))^(-1); +% % % end + + end +end +deletedFlag = unique(deletedFlag); +N(deletedFlag,:) = []; +T(deletedFlag,:) = []; +% ѷ--ӻĶӦ󣬰ѷ˳У +fractureCell_matrixCell_addedMatrixCell = zeros(size(fractureCellFlag,1),3); +for xiang = 1:size(fractureCellFlag,1) + theFractureCell = fractureCellFlag(xiang,1); + aaa = find(fractureMatrixFlag(:,1) == theFractureCell); + theMatrixCell = fractureMatrixFlag(aaa,2); + bbb = find(matrixCellsDivided(:,1) == theMatrixCell); + theAddedMatrixCells = matrixCellsDivided(bbb,2); + fractureCell_matrixCell_addedMatrixCell(theFractureCell,:) = [theFractureCell, theMatrixCell, theAddedMatrixCells]; +end +% Щʵ +relatedN = []; +relatedT = []; +for xiang = 1:size(fractureCellFlag,1)/numberInGroup +%% -------------------------------------------------------------------------˴޸֮----------------------------------------------------------------------- + addedNSs =[ + % ԭл xϵ + fractureCell_matrixCell_addedMatrixCell(numberInGroup*xiang-2,2)-1, fractureCell_matrixCell_addedMatrixCell(3*xiang-2,2); + fractureCell_matrixCell_addedMatrixCell(numberInGroup*xiang-1,2)-1, fractureCell_matrixCell_addedMatrixCell(numberInGroup*xiang-1,2); + fractureCell_matrixCell_addedMatrixCell(numberInGroup*xiang-0,2)-1, fractureCell_matrixCell_addedMatrixCell(numberInGroup*xiang-0,2); + % Ҳӻ xϵ + fractureCell_matrixCell_addedMatrixCell(numberInGroup*xiang-2,3), fractureCell_matrixCell_addedMatrixCell(numberInGroup*xiang-2,2)+1; + fractureCell_matrixCell_addedMatrixCell(numberInGroup*xiang-1,3), fractureCell_matrixCell_addedMatrixCell(numberInGroup*xiang-1,2)+1; + fractureCell_matrixCell_addedMatrixCell(numberInGroup*xiang-0,3), fractureCell_matrixCell_addedMatrixCell(numberInGroup*xiang-0,2)+1; + % ԭл yϵ + fractureCell_matrixCell_addedMatrixCell(numberInGroup*xiang-2,2), fractureCell_matrixCell_addedMatrixCell(numberInGroup*xiang-1,2); + fractureCell_matrixCell_addedMatrixCell(numberInGroup*xiang-1,2), fractureCell_matrixCell_addedMatrixCell(numberInGroup*xiang-0,2); + fractureCell_matrixCell_addedMatrixCell(numberInGroup*xiang-0,2), fractureCell_matrixCell_addedMatrixCell(numberInGroup*xiang-0,2)+nx; + % Ҳӻ yϵ + fractureCell_matrixCell_addedMatrixCell(numberInGroup*xiang-2,2)-nx, fractureCell_matrixCell_addedMatrixCell(numberInGroup*xiang-2,3); + fractureCell_matrixCell_addedMatrixCell(numberInGroup*xiang-2,3), fractureCell_matrixCell_addedMatrixCell(numberInGroup*xiang-1,3); + fractureCell_matrixCell_addedMatrixCell(numberInGroup*xiang-1,3), fractureCell_matrixCell_addedMatrixCell(numberInGroup*xiang-0,3); + ]; +%% --------------------------------------------------------------˴޸Ľ----------------------------------------------------------------- + relatedN = [relatedN; + addedNSs + ]; + % 㴫 + addedTs = []; + for dai = 1:size(addedNSs,1) + the_matrix_cell1 = addedNSs(dai,1); the_matrix_cell2 = addedNSs(dai,2); + if the_matrix_cell1> nmc + aaa = find(fractureCell_matrixCell_addedMatrixCell(:,3) == the_matrix_cell1); + the_matrix_cell1 = fractureCell_matrixCell_addedMatrixCell(aaa,2); + end + if the_matrix_cell2> nmc + aaa = find(fractureCell_matrixCell_addedMatrixCell(:,3) == the_matrix_cell2); + the_matrix_cell2 = fractureCell_matrixCell_addedMatrixCell(aaa,2); + end +%% -------------------------------------------------------------------------˴޸֮----------------------------------------------------------------------- + if dai == 1 + theT = ((Kx(the_matrix_cell1)*dzv(the_matrix_cell1)*dyv(the_matrix_cell1)/(dxv(the_matrix_cell1)/2))^(-1)+(Kx(the_matrix_cell2)*dzv(the_matrix_cell2)*dyv(the_matrix_cell2)/(dxv(the_matrix_cell2)/12))^(-1))^(-1); + end + if dai == 2 + theT = ((Kx(the_matrix_cell1)*dzv(the_matrix_cell1)*dyv(the_matrix_cell1)/(dxv(the_matrix_cell1)/2))^(-1)+(Kx(the_matrix_cell2)*dzv(the_matrix_cell2)*dyv(the_matrix_cell2)/(dxv(the_matrix_cell2)/4))^(-1))^(-1); + end + if dai == 3 + theT = ((Kx(the_matrix_cell1)*dzv(the_matrix_cell1)*dyv(the_matrix_cell1)/(dxv(the_matrix_cell1)/2))^(-1)+(Kx(the_matrix_cell2)*dzv(the_matrix_cell2)*dyv(the_matrix_cell2)/(dxv(the_matrix_cell2)*5/12))^(-1))^(-1); + end + if dai == 4 + theT = ((Kx(the_matrix_cell1)*dzv(the_matrix_cell1)*dyv(the_matrix_cell1)/(dxv(the_matrix_cell1)*5/12))^(-1)+(Kx(the_matrix_cell2)*dzv(the_matrix_cell2)*dyv(the_matrix_cell2)/(dxv(the_matrix_cell2)/2))^(-1))^(-1); + end + if dai == 5 + theT = ((Kx(the_matrix_cell1)*dzv(the_matrix_cell1)*dyv(the_matrix_cell1)/(dxv(the_matrix_cell1)*1/4))^(-1)+(Kx(the_matrix_cell2)*dzv(the_matrix_cell2)*dyv(the_matrix_cell2)/(dxv(the_matrix_cell2)/2))^(-1))^(-1); + end + if dai == 6 + theT = ((Kx(the_matrix_cell1)*dzv(the_matrix_cell1)*dyv(the_matrix_cell1)/(dxv(the_matrix_cell1)*1/12))^(-1)+(Kx(the_matrix_cell2)*dzv(the_matrix_cell2)*dyv(the_matrix_cell2)/(dxv(the_matrix_cell2)/2))^(-1))^(-1); + end + if dai == 7 + theT = ((Ky(the_matrix_cell1)*dzv(the_matrix_cell1)*dxv(the_matrix_cell1)*1/3/(dyv(the_matrix_cell1)/2))^(-1)+(Kx(the_matrix_cell2)*dzv(the_matrix_cell2)*dxv(the_matrix_cell2)*1/3/(dyv(the_matrix_cell2)/2))^(-1))^(-1); + end + if dai == 8 + theT = ((Ky(the_matrix_cell1)*dzv(the_matrix_cell1)*dxv(the_matrix_cell1)*2/3/(dyv(the_matrix_cell1)/2))^(-1)+(Kx(the_matrix_cell2)*dzv(the_matrix_cell2)*dxv(the_matrix_cell2)*2/3/(dyv(the_matrix_cell2)/2))^(-1))^(-1); + end + if dai == 9 + theT = ((Ky(the_matrix_cell1)*dzv(the_matrix_cell1)*dxv(the_matrix_cell1)*3/3/(dyv(the_matrix_cell1)/2))^(-1)+(Kx(the_matrix_cell2)*dzv(the_matrix_cell2)*dxv(the_matrix_cell2)*3/3/(dyv(the_matrix_cell2)/2))^(-1))^(-1); + end + if dai == 10 + theT = ((Ky(the_matrix_cell1)*dzv(the_matrix_cell1)*dxv(the_matrix_cell1)*3/3/(dyv(the_matrix_cell1)/2))^(-1)+(Kx(the_matrix_cell2)*dzv(the_matrix_cell2)*dxv(the_matrix_cell2)*3/3/(dyv(the_matrix_cell2)/2))^(-1))^(-1); + end + if dai == 11 + theT = ((Ky(the_matrix_cell1)*dzv(the_matrix_cell1)*dxv(the_matrix_cell1)*2/3/(dyv(the_matrix_cell1)/2))^(-1)+(Kx(the_matrix_cell2)*dzv(the_matrix_cell2)*dxv(the_matrix_cell2)*2/3/(dyv(the_matrix_cell2)/2))^(-1))^(-1); + end + if dai == 12 + theT = ((Ky(the_matrix_cell1)*dzv(the_matrix_cell1)*dxv(the_matrix_cell1)*1/3/(dyv(the_matrix_cell1)/2))^(-1)+(Kx(the_matrix_cell2)*dzv(the_matrix_cell2)*dxv(the_matrix_cell2)*1/3/(dyv(the_matrix_cell2)/2))^(-1))^(-1); + end +%% -------------------------------------------------------------------------˴޸Ľ----------------------------------------------------------------------- +% % % ((Kx(the_matrix_cell1)*dzv(the_matrix_cell1)*dyv(the_matrix_cell1)/(dxv(the_matrix_cell1)*5/12))^(-1)+(Kx(the_matrix_cell2)*dzv(the_matrix_cell2)*dyv(the_matrix_cell2)/(dxv(the_matrix_cell2)/2))^(-1))^(-1); +% % % ((Kx(the_matrix_cell1)*dzv(the_matrix_cell1)*dyv(the_matrix_cell1)/(dxv(the_matrix_cell1)*1/4))^(-1)+(Kx(the_matrix_cell2)*dzv(the_matrix_cell2)*dyv(the_matrix_cell2)/(dxv(the_matrix_cell2)/2))^(-1))^(-1); +% % % ((Kx(the_matrix_cell1)*dzv(the_matrix_cell1)*dyv(the_matrix_cell1)/(dxv(the_matrix_cell1)*1/6))^(-1)+(Kx(the_matrix_cell2)*dzv(the_matrix_cell2)*dyv(the_matrix_cell2)/(dxv(the_matrix_cell2)/2))^(-1))^(-1); +% % % +% % % ((Ky(the_matrix_cell1)*dzv(the_matrix_cell1)*dxv(the_matrix_cell1)*1/3/(dyv(the_matrix_cell1)/2))^(-1)+(Kx(the_matrix_cell2)*dzv(the_matrix_cell2)*dxv(the_matrix_cell2)*1/3/(dyv(the_matrix_cell2)/2))^(-1))^(-1); +% % % ((Ky(the_matrix_cell1)*dzv(the_matrix_cell1)*dxv(the_matrix_cell1)*2/3/(dyv(the_matrix_cell1)/2))^(-1)+(Kx(the_matrix_cell2)*dzv(the_matrix_cell2)*dxv(the_matrix_cell2)*2/3/(dyv(the_matrix_cell2)/2))^(-1))^(-1); +% % % ((Ky(the_matrix_cell1)*dzv(the_matrix_cell1)*dxv(the_matrix_cell1)*3/3/(dyv(the_matrix_cell1)/2))^(-1)+(Kx(the_matrix_cell2)*dzv(the_matrix_cell2)*dxv(the_matrix_cell2)*3/3/(dyv(the_matrix_cell2)/2))^(-1))^(-1); +% % % +% % % ((Ky(the_matrix_cell1)*dzv(the_matrix_cell1)*dxv(the_matrix_cell1)*3/3/(dyv(the_matrix_cell1)/2))^(-1)+(Kx(the_matrix_cell2)*dzv(the_matrix_cell2)*dxv(the_matrix_cell2)*3/3/(dyv(the_matrix_cell2)/2))^(-1))^(-1); +% % % ((Ky(the_matrix_cell1)*dzv(the_matrix_cell1)*dxv(the_matrix_cell1)*2/3/(dyv(the_matrix_cell1)/2))^(-1)+(Kx(the_matrix_cell2)*dzv(the_matrix_cell2)*dxv(the_matrix_cell2)*2/3/(dyv(the_matrix_cell2)/2))^(-1))^(-1); +% % % ((Ky(the_matrix_cell1)*dzv(the_matrix_cell1)*dxv(the_matrix_cell1)*1/3/(dyv(the_matrix_cell1)/2))^(-1)+(Kx(the_matrix_cell2)*dzv(the_matrix_cell2)*dxv(the_matrix_cell2)*1/3/(dyv(the_matrix_cell2)/2))^(-1))^(-1); + + addedTs = [addedTs; theT]; + end + relatedT = [relatedT;addedTs]; +end +N = [N; relatedN]; +T = [T; relatedT]; +% +Ninterflow(:,2) = Ninterflow(:,2)+ number_of_adding; +ori_nmc = nmc; +nmc = ori_nmc +number_of_adding; +% m-f +% number_of_adding = 0; +for i = 1:size(matrix_cells_containing_fracture_cells,1) + the_matrix_cell = matrix_cells_containing_fracture_cells(i,1); + aaa = find(fractureCell_matrixCell_addedMatrixCell(:,2) == the_matrix_cell); + the_new_cell = fractureCell_matrixCell_addedMatrixCell(aaa,3); + the_fracture_cell_flag = fractureCell_matrixCell_addedMatrixCell(aaa,1); +% number_of_adding = number_of_adding+1; +% the_new_cell = number_of_adding+ori_nmc; +for j = 1:size(Ninterflow,1) + if Ninterflow(j,1) == the_matrix_cell + the_added_mf_connec = [the_added_mf_connec;the_new_cell,Ninterflow(j,2)]; +%% -------------------------------------------------------------------------˴޸֮----------------------------------------------------------------------- + if mod(the_fracture_cell_flag, numberInGroup) == 1 + the_added_mf_T = [the_added_mf_T; Tinterflow(j)/2*((1/4)/((1+2/3)/2))]; + Tinterflow(j) = Tinterflow(j)/2*((1/4)/((0+1/3)/2)); + end + if mod(the_fracture_cell_flag, numberInGroup) == 2 + the_added_mf_T = [the_added_mf_T; Tinterflow(j)/2]; + Tinterflow(j) = Tinterflow(j)/2; + end + if mod(the_fracture_cell_flag, numberInGroup) == 0 + the_added_mf_T = [the_added_mf_T; Tinterflow(j)/2*((1/4)/((0+1/3)/2))]; + Tinterflow(j) = Tinterflow(j)/2*((1/4)/((1+2/3)/2)); + end +%% -------------------------------------------------------------------------˴޸֮----------------------------------------------------------------------- + end +end +end +Ninterflow = [Ninterflow; the_added_mf_connec]; +Tinterflow = [Tinterflow; the_added_mf_T]; +%% 2014ķΪƵʽ +% syms x y z; +% Ninterflow=[]; +% Tinterflow=[]; +% for i=1:nx*ny*nz % +% for j=1:10 +% if matrixvsfra(i,j)~=0 %this matrix cell contains a fracture cell +% Ninterflow=[Ninterflow;i,matrixvsfra(i,j)+nmc]; +% kcell=(kx(i)*ky(i)*kz(i))^(1/3); +% K1=Kf(matrixvsfra(i,j));d1=Wf(matrixvsfra(i,j)); +% K2=kffl(matrixvsfra(i,j));d2=dffl(matrixvsfra(i,j)); +% Annc=2*areavsfra(matrixvsfra(i,j)); +% fracore=corevsfra(matrixvsfra(i,j),:); +% matnodes=nodes(i,:); +% verco=coord(matnodes,:);norvec=normalvec(matrixvsfra(i,j),:); +% matcore=mean(verco);d0=matcore-fracore; +% dn=(x+d0(1))*norvec(1)+(y+d0(2))*norvec(2)+(z+d0(3))*norvec(3); +% % dn=abs(dn);%ӰֵЧ +% dn=sqrt(dn^2); +% dn=matlabFunction(dn); +% if norvec(1)~=0 && norvec(2)~=0 && norvec(3)~=0 +% Dn=integral3(dn,-dxv(i)/2,dxv(i)/2,-dyv(i)/2,dyv(i)/2,-dzv(i)*NTG(i)/2,dzv(i)*NTG(i)/2)/(dxv(i)*dyv(i)*dzv(i)*NTG(i)); +% else if norvec(1)~=0 && norvec(2)~=0 +% Dn=dzv(i)*NTG(i)*integral2(dn,-dxv(i)/2,dxv(i)/2,-dyv(i)/2,dyv(i)/2)/(dxv(i)*dyv(i)*dzv(i)*NTG(i)); +% else if norvec(1)~=0 && norvec(3)~=0 +% Dn=dyv(i)*integral2(dn,-dxv(i)/2,dxv(i)/2,-dzv(i)*NTG(i)/2,dzv(i)*NTG(i)/2)/(dxv(i)*dyv(i)*dzv(i)*NTG(i)); +% else if norvec(2)~=0 && norvec(3)~=0 +% Dn=dxv(i)*integral2(dn,-dyv(i)/2,dyv(i)/2,-dzv(i)*NTG(i)/2,dzv(i)*NTG(i)/2)/(dxv(i)*dyv(i)*dzv(i)*NTG(i)); +% else if norvec(1)~=0 +% Dn=dyv(i)*dzv(i)*NTG(i)*integral(dn,-dxv(i)/2,dxv(i)/2)/(dxv(i)*dyv(i)*dzv(i)*NTG(i)); +% else if norvec(2)~=0 +% Dn=dxv(i)*dzv(i)*NTG(i)*integral(dn,-dyv(i)/2,dyv(i)/2)/(dxv(i)*dyv(i)*dzv(i)*NTG(i)); +% else if norvec(3)~=0 +% Dn=dxv(i)*dyv(i)*integral(dn,-dzv(i)*NTG(i)/2,dzv(i)*NTG(i)/2)/(dxv(i)*dyv(i)*dzv(i)*NTG(i)); +% end +% end +% end +% end +% end +% end +% end +% raoT=((Kcell*Annc/(Dn-d2))^(-1)+(K2*Annc/d2)^(-1)+(K1*Annc/d1)^(-1))^(-1); +% Tinterflow=[Tinterflow;raoT]; +% end +% end +% end + +%% ľֱ +N = [N; Nmff+nmc; Nff+nmc;Ninterflow;]; +T = [T; Tmff; Tff;Tinterflow;]; +T_convection = [T_convection;Tmff_convection; Tff_convection;Tinterflow_convection;]; +nex=size(N,1); +end diff --git a/generic extended/connections_unstructured_EDFM_EX2_1to4_solutions.m b/generic extended/connections_unstructured_EDFM_EX2_1to4_solutions.m new file mode 100644 index 0000000..0c5beb4 --- /dev/null +++ b/generic extended/connections_unstructured_EDFM_EX2_1to4_solutions.m @@ -0,0 +1,663 @@ +function [ matrixvsfra,connectmf,fracnumber,fracstart,corevsfra,connect_infrac,N,T,zf,fcinff,vf,porf,fcff,T_convection,mat_frac,number_of_adding,cell_divided_by_fracture_flag,volume_ratio, fractureCell_matrixCell_addedMatrixCell] = connections_unstructured_EDFM_EX2_1to4_solutions( fracturemesh,pointvsregion,raopoint,f,nf,nx,ny,nz,kx,ky,kz,kf,wf,Porf,dxv,dyv,dzv,coord,nodes,NTG,addflag ) +% úԸѷţ洢ӹϵʣǰĹؼ +% ͬڶάǶʽɢѷģͣάģУѷǶάƽ棬֮ӹϵӣ +%ܼ򵥵ôӻжڣѷزڣڣѷȴһ +%ԭȥȷconnectionsȡ· +%һ:xinkȥк󣬰θijѷţͬʱ洢ѷڵĻ +%ڶ:洢ÿѷ߽磬߽糤ȣĵ꣬ĵ㵽߽ľ룬Ϊ׼ +%:ѷ˳򣬰ձ߽ͬı߽磬ѷڵ +%matrixvsfraаѷŵ +%fracnumberűʾѷţݱʾĵ +%areavsfraűʾѷţݱʾѷ +%ÿһߣȻ˳򷴹һ +%lengthvsfraűʾѷţݱʾѷĸ߳ +%corevsfraűʾѷţݱʾѷ +%disvsfraűʾѷţݱʾѷĵߵľ +matrixvsfra=zeros(nx*ny*nz,10);%Ϊ˼ٸþĴСʵһУһ㲻г10ѷ +fracnumber=zeros(1000,20);%ʵѷһ㲻ᳬ1000Ҳɸʵı +%m=size(xink,1); +rownum=zeros(nf,1); +for i=1:nf +rownum(i)=size(fracturemesh{i,1},1); +end +%% ѷһţӸӦĻ +q=1; +fracstart=zeros(nf+1,1);%ʾܱУÿѷʼĺ +for j=1:nf + fracstart(j)=q; + numofmesh=pointvsregion{j,1}; +for i=1:1:rownum(j) + if(norm(fracturemesh{j,1}(i,:))~=0) + raoindice=size(fracturemesh{j,1}(i,:),2); + fracnumber(q,1:raoindice)=fracturemesh{j,1}(i,:);%qǸѷ +% m=floor((i+(2^nf)-1)/(2^nf)); + m=floor((i+(2^addflag(j)-1))/(2^addflag(j))); + indice=find(matrixvsfra(numofmesh(m),:)~=0); +% indice=find(matrixvsfra(numofmesh(i),:)~=0); + if (size(indice,2)==0) xiang=1; + else + rao=max(indice'); + xiang=rao(1)+1; + end + matrixvsfra(numofmesh(m),xiang)=q;%ѷŸӦĻ + q=q+1; + end +end +end +fracstart(nf+1)=q;%ѷ+1 +fracnumber(q:1000,:)=[]; + + +%% ѷ쵥ԪĻɸѡ,д +m=size(matrixvsfra,1); +mat_frac=[]; +connectmf=cell(1,4); +% for i=1:m +% if (norm(matrixvsfra(i,:))~=0) +% ConnecS = cell(1,4); +cc = 0; +cl = 1; +for i = 1 : m + %ɸѡѷĻ +% if ~isempty(matrixvsfra(i,:)) + if (norm(matrixvsfra(i,:)))~=0 + cc = cc + 1; + %洢û + connectmf{cc,1} = i; + mat_frac=[mat_frac;i]; + %Щѷ/ѷ쵥Ԫ˳ + A=matrixvsfra(i,:); + A(A==0)=[]; + connectmf{cc,2} =A; +end +end + +%% һѷѷ߽ȵ +% edgevsfra=cell(nf,1); +% Kffl=funtion_data.Kffl; +% Dffl=funtion_data.Dffl; +% kffl=zeros(q-1,1); +% dffl=zeros(q-1,1); +fractureCellFlag = (1:q-1)'; +normalvec=zeros(q-1,3);%unit +areavsfra=zeros(q-1,1);%q-1ѷ +lengthvsfra=zeros(q-1,10); +Kf=zeros(q-1,10);%ѷ͸ +corevsfra=zeros(q-1,3); +disvsfra=zeros(q-1,10); +tran=zeros(q-1,10); +avtran=zeros(q-1,1);%ѷƽںļ򻯼 +ave_disvsfra=zeros(q-1,1); +fcinff=zeros(q-1,1);%ʾѷ쵥Ԫڵѷ +zf=zeros(q-1,1);%ѷ쵥Ԫ߶ȣ±Ϊ׼ +vf=zeros(q-1,1);%ѷ쵥Ԫ +porf=zeros(q-1,1);%ѷ쵥ԪĿ϶ +for i=1:1:q-1 %ѷв + if(norm(fracnumber(i,:))==0) break; + else + for k=2:(nf+1) + if(i0 +for i=1:(q-1) + [dogindex,~]=find(deindex==i); + if length(dogindex)~=0 + newnum(i)=0; + else + [catindex,~]=find(deindex2)||((size(raoflag,2)<2))) continue;%Ϊ͹ΣֻҪѷĹԪ2йߣ + %2ͬѷΪǣһǰΣìܣ֤ϣСûйеı + else if (a==b) continue; %˵ѷ쵥ԪͬһУ˲Ӧڴ + else + raoconnect(p,q)=k;q=q+1; + lengthcat=norm(d3intersection(raoflag(1),:)-d3intersection(raoflag(2),:));%ѷ쵥Ԫ߳ + rao1k=corevsfra(k,:)-d3intersection(raoflag(1),:); + rao1j=corevsfra(j,:)-d3intersection(raoflag(1),:); + rao2=d3intersection(raoflag(1),:)-d3intersection(raoflag(2),:); + %ֱѷ쵥Ԫĵߵľ + disk=norm(cross(rao1k',rao2'))/norm(rao2); + disj=norm(cross(rao1j',rao2'))/norm(rao2); + if kf(i)==0 hartran=0;hartran_convection=0; + else + tran1=kf(i)*wf(i)*lengthcat/disk; + tran2=kf(i)*wf(i)*lengthcat/disj; +% hartran=length/(disk+disj);%ȡƽ + hartran=tran1*tran2/(tran1+tran2); + k_harmony= kf(i); + hartran_convection=kf(i)/(disk+disj)^2; + end + Nff=[Nff; j,k]; + Tff=[Tff;hartran]; + Tff_convection=[Tff_convection;hartran_convection]; + %ÿѷĵÿߵľ + end + end + p=p+1; + end + connect_infrac{i,1}=raoconnect; + end +end +Nff(1,:)=[]; %ȥһе +Tff(1,:)=[]; +Tff_convection(1,:)=[]; +%% ͬһеѷ쵥Ԫʼ +nmc=size(matrixvsfra,1); +Nmff=zeros(1,2); +Tmff=zeros(1,1); +Tmff_convection=zeros(1,1); +for i=1:nmc + if(norm(matrixvsfra(i,:))~=0) + indice=find(matrixvsfra(i,:)~=0); + n=size(indice,2); + if (n>1) %ʱҪȡļ㷨 +% lengthvsfra(matrixvsfra(i,indice))./disvsfra(matrixvsfra(i,indice)) + for j=1:n-1 + for k=(j+1):n + Nmff=[Nmff;matrixvsfra(i,indice(j)), matrixvsfra(i,indice(k))]; + % ʱļ㷽ʽÿѷƽڸûеѷ쵥Ԫƽ + fc1=matrixvsfra(i,indice(j)); fc2=matrixvsfra(i,indice(k)); + allfc=matrixvsfra(i,1:n); sumtran=sum(fcff{1,7}(allfc)); + if sumtran==0 Tmff=[Tmff; 0];Tmff_convection=[Tmff_convection;0]; + else + Tmff=[Tmff; fcff{1,7}(fc1)*fcff{1,7}(fc2)/sumtran]; + end + end + end + end + end +end +Nmff(1,:)=[]; %ȥͷ +Tmff(1,:)=[]; +Tmff_convection(1,:)=[]; +% N = [N; Nmff+nmc]; +% T = [T; Tmff]; + +%% ϵ +nmc=nx * ny*nz;%Ŀ +nfc=size(fracnumber,1);%ѷ쵥ԪĿ +rpt = [ones(nmc, 1); zeros(nfc, 1)]; +% r.rpt = rpt; +nmm = (nx-1)*ny*nz+(ny-1)*nx*nz+(nz-1)*nx*ny;%nmmǻ֮彻 +% r.nf = nmm + nff;%nffѷ쵥Ԫ֮彻 +Kx=kx.*ones(nmc,1); +Ky=ky.*ones(nmc,1); +Kz=kz.*ones(nmc,1); +N = zeros(nmm, 2);%洢֮彻 +T = zeros(nmm, 1);%洢ӦNĴϵ +T_convection = zeros(nmm, 1); +c = 0; +for k= 1 : nz +for j = 1 : ny + for i = 1 : nx - 1 + c = c + 1; + index = i + (j - 1) * nx + (k - 1) * nx * ny; + indexn = index + 1; + N(c, :) = [index, indexn]; + T(c) = 2 * dzv(index)*dyv(index)*Kx(index)*Kx(indexn)*NTG(index)*NTG(indexn)/(Kx(index)*dxv(indexn)*NTG(index) + Kx(indexn)*dxv(index)*NTG(indexn)); + T_convection(c) = 2/(1/Kx(index)+1/Kx(indexn))/(dxv(indexn)+dxv(index)); + end +end +end + +for k= 1 : nz +for i = 1 : nx + for j = 1 : ny - 1 + c = c + 1; + index = i + (j - 1) * nx + (k - 1) * nx * ny; + indexn = index + nx; + N(c, :) = [index, indexn]; + T(c) = 2 * dzv(index)*dxv(index)*Ky(index)*Ky(indexn)/(Ky(index)*dyv(indexn) + Ky(indexn)*dyv(index)); + T_convection(c) = 2/(1/Ky(index)+1/Ky(indexn))/(dyv(indexn)+dyv(index)); + end +end +end + +for i = 1 : nx +for j = 1 : ny + for k= 1: nz-1 + c = c + 1; + index = i + (j - 1) * nx + (k - 1) * nx * ny; + indexn = index + nx * ny; + N(c, :) = [index, index + nx*ny]; + T(c) = 2 * dxv(index)*dyv(index)*Kz(index)*Kz(indexn)/(Kz(index)*dzv(indexn) + Kz(indexn)*dzv(index)); + T_convection(c) = 2/(1/Kz(index)+1/Kz(indexn))/(dzv(indexn)+dzv(index)); + end +end +end +%% 2014ķΪƵʽ +syms x y z; +Ninterflow=[]; +Tinterflow=[]; +Tinterflow_convection=[]; +matrix_cells_containing_fracture_cells = []; +volume_ratio = []; +fractureMatrixFlag = zeros(size(fractureCellFlag,1),2); +%% -------------------------------------------------------------------------˴޸֮--------------------------------------------------------------- +numberInGroup = 4; +%% -------------------------------------------------------------------------Ϸ޸Ľ--------------------------------------------------------------- +for i=1:nx*ny*nz % + for j=1:10 + if matrixvsfra(i,j)~=0 %this matrix cell contains a fracture cell + fractureMatrixFlag(matrixvsfra(i,j),:) = [matrixvsfra(i,j),i]; + matrix_cells_containing_fracture_cells = [matrix_cells_containing_fracture_cells; i]; +%% -------------------------------------------------------------------------˴޸֮--------------------------------------------------------------- + if mod(matrixvsfra(i,j),numberInGroup) == 1 volume_ratio = [volume_ratio; 7/8];end % Ҳ±ռ + if mod(matrixvsfra(i,j),numberInGroup) == 2 volume_ratio = [volume_ratio; 5/8];end + if mod(matrixvsfra(i,j),numberInGroup) == 3 volume_ratio = [volume_ratio; 3/8];end + if mod(matrixvsfra(i,j),numberInGroup) == 0 volume_ratio = [volume_ratio; 1/8];end +%% -------------------------------------------------------------------------Ϸ޸Ľ--------------------------------------------------------------- + Ninterflow=[Ninterflow;i,matrixvsfra(i,j)+nmc]; + kcell=(kx(i)*ky(i)*kz(i))^(1/3); + Knnc=kcell*Kf(matrixvsfra(i,j))/(kcell+Kf(matrixvsfra(i,j))); + Annc=2*areavsfra(matrixvsfra(i,j)); + fracore=corevsfra(matrixvsfra(i,j),:); + matnodes=nodes(i,:); + verco=coord(matnodes,:);norvec=normalvec(matrixvsfra(i,j),:); + matcore=mean(verco);d0=matcore-fracore; + dn=(x+d0(1))*norvec(1)+(y+d0(2))*norvec(2)+(z+d0(3))*norvec(3); +% dn=abs(dn);%ӰֵЧ + dn=sqrt(dn^2); + dn=matlabFunction(dn); + if norvec(1)~=0 && norvec(2)~=0 && norvec(3)~=0 + Dn=integral3(dn,-dxv(i)/2,dxv(i)/2,-dyv(i)/2,dyv(i)/2,-dzv(i)*NTG(i)/2,dzv(i)*NTG(i)/2)/(dxv(i)*dyv(i)*dzv(i)*NTG(i)); + else if norvec(1)~=0 && norvec(2)~=0 + Dn=dzv(i)*NTG(i)*integral2(dn,-dxv(i)/2,dxv(i)/2,-dyv(i)/2,dyv(i)/2)/(dxv(i)*dyv(i)*dzv(i)*NTG(i)); + else if norvec(1)~=0 && norvec(3)~=0 + Dn=dyv(i)*integral2(dn,-dxv(i)/2,dxv(i)/2,-dzv(i)*NTG(i)/2,dzv(i)*NTG(i)/2)/(dxv(i)*dyv(i)*dzv(i)*NTG(i)); + else if norvec(2)~=0 && norvec(3)~=0 + Dn=dxv(i)*integral2(dn,-dyv(i)/2,dyv(i)/2,-dzv(i)*NTG(i)/2,dzv(i)*NTG(i)/2)/(dxv(i)*dyv(i)*dzv(i)*NTG(i)); + else if norvec(1)~=0 + Dn=dyv(i)*dzv(i)*NTG(i)*integral(dn,-dxv(i)/2,dxv(i)/2)/(dxv(i)*dyv(i)*dzv(i)*NTG(i)); + else if norvec(2)~=0 + Dn=dxv(i)*dzv(i)*NTG(i)*integral(dn,-dyv(i)/2,dyv(i)/2)/(dxv(i)*dyv(i)*dzv(i)*NTG(i)); + else if norvec(3)~=0 + Dn=dxv(i)*dyv(i)*integral(dn,-dzv(i)*NTG(i)/2,dzv(i)*NTG(i)/2)/(dxv(i)*dyv(i)*dzv(i)*NTG(i)); + end + end + end + end + end + end + end + raoT=Knnc*Annc/Dn; + raoT_convection=2*Knnc/Dn^2; + Tinterflow=[Tinterflow;raoT]; + Tinterflow_convection=[Tinterflow_convection;raoT_convection]; + end + end +end +%% ⴦˴δͨûдһչ +nfc=size(fracnumber,1); +the_added_matrix_cells = []; +nmc=nx * ny*nz; +the_added_mf_connec = []; +the_added_mf_T = []; +number_of_adding = 0; +cell_divided_by_fracture_flag = matrix_cells_containing_fracture_cells; +% ¼񱻷ֳ,ɾԭеЩص +matrixCellsDivided = zeros(size(matrix_cells_containing_fracture_cells,1),2); +deletedFlag = []; +for i = 1:size(matrix_cells_containing_fracture_cells,1) + the_matrix_cell = matrix_cells_containing_fracture_cells(i,1); + number_of_adding = number_of_adding+1; + the_new_cell = number_of_adding+nmc; + the_added_matrix_cells = [the_added_matrix_cells; the_new_cell]; + matrixCellsDivided(i,:) = [the_matrix_cell, the_new_cell]; + % m-m + for j = 1:size(N,1) + if N(j,1) == the_matrix_cell || N(j,2) == the_matrix_cell + deletedFlag = [deletedFlag; j]; + end +% % % if N(j,2) == the_matrix_cell+1 +% % % N(j,1) = the_new_cell; T(j) = ... +% % % ((Kx(the_matrix_cell)*dzv(the_matrix_cell)*dyv(the_matrix_cell)/(dxv(the_matrix_cell)/3))^(-1)+(Kx(the_matrix_cell+1)*dzv(the_matrix_cell+1)*dyv(the_matrix_cell+1)/(dxv(the_matrix_cell+1)/2))^(-1))^(-1); +% % % end + +% % % if N(j,2) == the_matrix_cell-nx +% % % N(j,1) = the_new_cell; T(j) = ... +% % % ((Ky(the_matrix_cell)*dzv(the_matrix_cell)*dxv(the_matrix_cell)/(dyv(the_matrix_cell)/3))^(-1)+(Ky(the_matrix_cell-n)*dzv(the_matrix_cell-n)*dxv(the_matrix_cell-n)/(dxv(the_matrix_cell-n)/2))^(-1))^(-1); +% % % end + +% % % if N(j,1) == the_matrix_cell+1 +% % % N(j,2) = the_new_cell; T(j) = ... +% % % ((Kx(the_matrix_cell)*dzv(the_matrix_cell)*dyv(the_matrix_cell)/(dxv(the_matrix_cell)/3))^(-1)+(Kx(the_matrix_cell+1)*dzv(the_matrix_cell+1)*dyv(the_matrix_cell+1)/(dxv(the_matrix_cell+1)/2))^(-1))^(-1); +% % % end + +% % % if N(j,1) == the_matrix_cell-nx +% % % N(j,2) = the_new_cell; T(j) = ... +% % % ((Ky(the_matrix_cell)*dzv(the_matrix_cell)*dxv(the_matrix_cell)/(dyv(the_matrix_cell)/3))^(-1)+(Ky(the_matrix_cell-n)*dzv(the_matrix_cell-n)*dxv(the_matrix_cell-n)/(dxv(the_matrix_cell-n)/2))^(-1))^(-1); +% % % end + + end +end +deletedFlag = unique(deletedFlag); +N(deletedFlag,:) = []; +T(deletedFlag,:) = []; +% ѷ--ӻĶӦ󣬰ѷ˳У +fractureCell_matrixCell_addedMatrixCell = zeros(size(fractureCellFlag,1),3); +for xiang = 1:size(fractureCellFlag,1) + theFractureCell = fractureCellFlag(xiang,1); + aaa = find(fractureMatrixFlag(:,1) == theFractureCell); + theMatrixCell = fractureMatrixFlag(aaa,2); + bbb = find(matrixCellsDivided(:,1) == theMatrixCell); + theAddedMatrixCells = matrixCellsDivided(bbb,2); + fractureCell_matrixCell_addedMatrixCell(theFractureCell,:) = [theFractureCell, theMatrixCell, theAddedMatrixCells]; +end +% Щʵ +relatedN = []; +relatedT = []; +for xiang = 1:size(fractureCellFlag,1)/numberInGroup +%% -------------------------------------------------------------------------˴޸֮----------------------------------------------------------------------- + addedNSs =[ + % ԭл xϵ + fractureCell_matrixCell_addedMatrixCell(numberInGroup*xiang-3,2)-1, fractureCell_matrixCell_addedMatrixCell(numberInGroup*xiang-3,2); + fractureCell_matrixCell_addedMatrixCell(numberInGroup*xiang-2,2)-1, fractureCell_matrixCell_addedMatrixCell(numberInGroup*xiang-2,2); + fractureCell_matrixCell_addedMatrixCell(numberInGroup*xiang-1,2)-1, fractureCell_matrixCell_addedMatrixCell(numberInGroup*xiang-1,2); + fractureCell_matrixCell_addedMatrixCell(numberInGroup*xiang-0,2)-1, fractureCell_matrixCell_addedMatrixCell(numberInGroup*xiang-0,2); + % Ҳӻ xϵ + fractureCell_matrixCell_addedMatrixCell(numberInGroup*xiang-3,3), fractureCell_matrixCell_addedMatrixCell(numberInGroup*xiang-3,2)+1; + fractureCell_matrixCell_addedMatrixCell(numberInGroup*xiang-2,3), fractureCell_matrixCell_addedMatrixCell(numberInGroup*xiang-2,2)+1; + fractureCell_matrixCell_addedMatrixCell(numberInGroup*xiang-1,3), fractureCell_matrixCell_addedMatrixCell(numberInGroup*xiang-1,2)+1; + fractureCell_matrixCell_addedMatrixCell(numberInGroup*xiang-0,3), fractureCell_matrixCell_addedMatrixCell(numberInGroup*xiang-0,2)+1; + % ԭл yϵ + fractureCell_matrixCell_addedMatrixCell(numberInGroup*xiang-3,2), fractureCell_matrixCell_addedMatrixCell(numberInGroup*xiang-2,2); + fractureCell_matrixCell_addedMatrixCell(numberInGroup*xiang-2,2), fractureCell_matrixCell_addedMatrixCell(numberInGroup*xiang-1,2); + fractureCell_matrixCell_addedMatrixCell(numberInGroup*xiang-1,2), fractureCell_matrixCell_addedMatrixCell(numberInGroup*xiang-0,2); + fractureCell_matrixCell_addedMatrixCell(numberInGroup*xiang-0,2), fractureCell_matrixCell_addedMatrixCell(numberInGroup*xiang-0,2)+nx; + % Ҳӻ yϵ + fractureCell_matrixCell_addedMatrixCell(numberInGroup*xiang-3,2)-nx, fractureCell_matrixCell_addedMatrixCell(numberInGroup*xiang-3,3); + fractureCell_matrixCell_addedMatrixCell(numberInGroup*xiang-3,3), fractureCell_matrixCell_addedMatrixCell(numberInGroup*xiang-2,3); + fractureCell_matrixCell_addedMatrixCell(numberInGroup*xiang-2,3), fractureCell_matrixCell_addedMatrixCell(numberInGroup*xiang-1,3); + fractureCell_matrixCell_addedMatrixCell(numberInGroup*xiang-1,3), fractureCell_matrixCell_addedMatrixCell(numberInGroup*xiang-0,3); + ]; +%% --------------------------------------------------------------˴޸Ľ----------------------------------------------------------------- + relatedN = [relatedN; + addedNSs + ]; + % 㴫 + addedTs = []; + for dai = 1:size(addedNSs,1) + the_matrix_cell1 = addedNSs(dai,1); the_matrix_cell2 = addedNSs(dai,2); + if the_matrix_cell1> nmc + aaa = find(fractureCell_matrixCell_addedMatrixCell(:,3) == the_matrix_cell1); + the_matrix_cell1 = fractureCell_matrixCell_addedMatrixCell(aaa,2); + end + if the_matrix_cell2> nmc + aaa = find(fractureCell_matrixCell_addedMatrixCell(:,3) == the_matrix_cell2); + the_matrix_cell2 = fractureCell_matrixCell_addedMatrixCell(aaa,2); + end +%% -------------------------------------------------------------------------˴޸֮----------------------------------------------------------------------- + % + if dai == 1 + theT = ((Kx(the_matrix_cell1)*dzv(the_matrix_cell1)*dyv(the_matrix_cell1)/(dxv(the_matrix_cell1)/2))^(-1)+(Kx(the_matrix_cell2)*dzv(the_matrix_cell2)*dyv(the_matrix_cell2)/(dxv(the_matrix_cell2)*1/16))^(-1))^(-1); + end + if dai == 2 + theT = ((Kx(the_matrix_cell1)*dzv(the_matrix_cell1)*dyv(the_matrix_cell1)/(dxv(the_matrix_cell1)/2))^(-1)+(Kx(the_matrix_cell2)*dzv(the_matrix_cell2)*dyv(the_matrix_cell2)/(dxv(the_matrix_cell2)*3/16))^(-1))^(-1); + end + if dai == 3 + theT = ((Kx(the_matrix_cell1)*dzv(the_matrix_cell1)*dyv(the_matrix_cell1)/(dxv(the_matrix_cell1)/2))^(-1)+(Kx(the_matrix_cell2)*dzv(the_matrix_cell2)*dyv(the_matrix_cell2)/(dxv(the_matrix_cell2)*5/16))^(-1))^(-1); + end + if dai == 4 + theT = ((Kx(the_matrix_cell1)*dzv(the_matrix_cell1)*dyv(the_matrix_cell1)/(dxv(the_matrix_cell1)/2))^(-1)+(Kx(the_matrix_cell2)*dzv(the_matrix_cell2)*dyv(the_matrix_cell2)/(dxv(the_matrix_cell2)*7/16))^(-1))^(-1); + end + % + if dai == 5 + theT = ((Kx(the_matrix_cell1)*dzv(the_matrix_cell1)*dyv(the_matrix_cell1)/(dxv(the_matrix_cell1)*7/16))^(-1)+(Kx(the_matrix_cell2)*dzv(the_matrix_cell2)*dyv(the_matrix_cell2)/(dxv(the_matrix_cell2)/2))^(-1))^(-1); + end + if dai == 6 + theT = ((Kx(the_matrix_cell1)*dzv(the_matrix_cell1)*dyv(the_matrix_cell1)/(dxv(the_matrix_cell1)*5/16))^(-1)+(Kx(the_matrix_cell2)*dzv(the_matrix_cell2)*dyv(the_matrix_cell2)/(dxv(the_matrix_cell2)/2))^(-1))^(-1); + end + if dai == 7 + theT = ((Kx(the_matrix_cell1)*dzv(the_matrix_cell1)*dyv(the_matrix_cell1)/(dxv(the_matrix_cell1)*3/16))^(-1)+(Kx(the_matrix_cell2)*dzv(the_matrix_cell2)*dyv(the_matrix_cell2)/(dxv(the_matrix_cell2)/2))^(-1))^(-1); + end + if dai == 8 + theT = ((Kx(the_matrix_cell1)*dzv(the_matrix_cell1)*dyv(the_matrix_cell1)/(dxv(the_matrix_cell1)*1/16))^(-1)+(Kx(the_matrix_cell2)*dzv(the_matrix_cell2)*dyv(the_matrix_cell2)/(dxv(the_matrix_cell2)/2))^(-1))^(-1); + end + % + if dai == 9 + theT = ((Ky(the_matrix_cell1)*dzv(the_matrix_cell1)*dxv(the_matrix_cell1)*1/4/(dyv(the_matrix_cell1)/2))^(-1)+(Kx(the_matrix_cell2)*dzv(the_matrix_cell2)*dxv(the_matrix_cell2)*1/4/(dyv(the_matrix_cell2)/2))^(-1))^(-1); + end + if dai == 10 + theT = ((Ky(the_matrix_cell1)*dzv(the_matrix_cell1)*dxv(the_matrix_cell1)*2/4/(dyv(the_matrix_cell1)/2))^(-1)+(Kx(the_matrix_cell2)*dzv(the_matrix_cell2)*dxv(the_matrix_cell2)*2/4/(dyv(the_matrix_cell2)/2))^(-1))^(-1); + end + if dai == 11 + theT = ((Ky(the_matrix_cell1)*dzv(the_matrix_cell1)*dxv(the_matrix_cell1)*3/4/(dyv(the_matrix_cell1)/2))^(-1)+(Kx(the_matrix_cell2)*dzv(the_matrix_cell2)*dxv(the_matrix_cell2)*3/4/(dyv(the_matrix_cell2)/2))^(-1))^(-1); + end + if dai == 12 + theT = ((Ky(the_matrix_cell1)*dzv(the_matrix_cell1)*dxv(the_matrix_cell1)*4/4/(dyv(the_matrix_cell1)/2))^(-1)+(Kx(the_matrix_cell2)*dzv(the_matrix_cell2)*dxv(the_matrix_cell2)*4/4/(dyv(the_matrix_cell2)/2))^(-1))^(-1); + end + % + if dai == 13 + theT = ((Ky(the_matrix_cell1)*dzv(the_matrix_cell1)*dxv(the_matrix_cell1)*4/4/(dyv(the_matrix_cell1)/2))^(-1)+(Kx(the_matrix_cell2)*dzv(the_matrix_cell2)*dxv(the_matrix_cell2)*4/4/(dyv(the_matrix_cell2)/2))^(-1))^(-1); + end + if dai == 14 + theT = ((Ky(the_matrix_cell1)*dzv(the_matrix_cell1)*dxv(the_matrix_cell1)*3/4/(dyv(the_matrix_cell1)/2))^(-1)+(Kx(the_matrix_cell2)*dzv(the_matrix_cell2)*dxv(the_matrix_cell2)*3/4/(dyv(the_matrix_cell2)/2))^(-1))^(-1); + end + if dai == 15 + theT = ((Ky(the_matrix_cell1)*dzv(the_matrix_cell1)*dxv(the_matrix_cell1)*2/4/(dyv(the_matrix_cell1)/2))^(-1)+(Kx(the_matrix_cell2)*dzv(the_matrix_cell2)*dxv(the_matrix_cell2)*2/4/(dyv(the_matrix_cell2)/2))^(-1))^(-1); + end + if dai == 16 + theT = ((Ky(the_matrix_cell1)*dzv(the_matrix_cell1)*dxv(the_matrix_cell1)*1/4/(dyv(the_matrix_cell1)/2))^(-1)+(Kx(the_matrix_cell2)*dzv(the_matrix_cell2)*dxv(the_matrix_cell2)*1/4/(dyv(the_matrix_cell2)/2))^(-1))^(-1); + end +%% -------------------------------------------------------------------------˴޸Ľ----------------------------------------------------------------------- +% % % ((Kx(the_matrix_cell1)*dzv(the_matrix_cell1)*dyv(the_matrix_cell1)/(dxv(the_matrix_cell1)*5/12))^(-1)+(Kx(the_matrix_cell2)*dzv(the_matrix_cell2)*dyv(the_matrix_cell2)/(dxv(the_matrix_cell2)/2))^(-1))^(-1); +% % % ((Kx(the_matrix_cell1)*dzv(the_matrix_cell1)*dyv(the_matrix_cell1)/(dxv(the_matrix_cell1)*1/4))^(-1)+(Kx(the_matrix_cell2)*dzv(the_matrix_cell2)*dyv(the_matrix_cell2)/(dxv(the_matrix_cell2)/2))^(-1))^(-1); +% % % ((Kx(the_matrix_cell1)*dzv(the_matrix_cell1)*dyv(the_matrix_cell1)/(dxv(the_matrix_cell1)*1/6))^(-1)+(Kx(the_matrix_cell2)*dzv(the_matrix_cell2)*dyv(the_matrix_cell2)/(dxv(the_matrix_cell2)/2))^(-1))^(-1); +% % % +% % % ((Ky(the_matrix_cell1)*dzv(the_matrix_cell1)*dxv(the_matrix_cell1)*1/3/(dyv(the_matrix_cell1)/2))^(-1)+(Kx(the_matrix_cell2)*dzv(the_matrix_cell2)*dxv(the_matrix_cell2)*1/3/(dyv(the_matrix_cell2)/2))^(-1))^(-1); +% % % ((Ky(the_matrix_cell1)*dzv(the_matrix_cell1)*dxv(the_matrix_cell1)*2/3/(dyv(the_matrix_cell1)/2))^(-1)+(Kx(the_matrix_cell2)*dzv(the_matrix_cell2)*dxv(the_matrix_cell2)*2/3/(dyv(the_matrix_cell2)/2))^(-1))^(-1); +% % % ((Ky(the_matrix_cell1)*dzv(the_matrix_cell1)*dxv(the_matrix_cell1)*3/3/(dyv(the_matrix_cell1)/2))^(-1)+(Kx(the_matrix_cell2)*dzv(the_matrix_cell2)*dxv(the_matrix_cell2)*3/3/(dyv(the_matrix_cell2)/2))^(-1))^(-1); +% % % +% % % ((Ky(the_matrix_cell1)*dzv(the_matrix_cell1)*dxv(the_matrix_cell1)*3/3/(dyv(the_matrix_cell1)/2))^(-1)+(Kx(the_matrix_cell2)*dzv(the_matrix_cell2)*dxv(the_matrix_cell2)*3/3/(dyv(the_matrix_cell2)/2))^(-1))^(-1); +% % % ((Ky(the_matrix_cell1)*dzv(the_matrix_cell1)*dxv(the_matrix_cell1)*2/3/(dyv(the_matrix_cell1)/2))^(-1)+(Kx(the_matrix_cell2)*dzv(the_matrix_cell2)*dxv(the_matrix_cell2)*2/3/(dyv(the_matrix_cell2)/2))^(-1))^(-1); +% % % ((Ky(the_matrix_cell1)*dzv(the_matrix_cell1)*dxv(the_matrix_cell1)*1/3/(dyv(the_matrix_cell1)/2))^(-1)+(Kx(the_matrix_cell2)*dzv(the_matrix_cell2)*dxv(the_matrix_cell2)*1/3/(dyv(the_matrix_cell2)/2))^(-1))^(-1); + + addedTs = [addedTs; theT]; + end + relatedT = [relatedT;addedTs]; +end +N = [N; relatedN]; +T = [T; relatedT]; +% +Ninterflow(:,2) = Ninterflow(:,2)+ number_of_adding; +ori_nmc = nmc; +nmc = ori_nmc +number_of_adding; +% m-f +% number_of_adding = 0; +for i = 1:size(matrix_cells_containing_fracture_cells,1) + the_matrix_cell = matrix_cells_containing_fracture_cells(i,1); + aaa = find(fractureCell_matrixCell_addedMatrixCell(:,2) == the_matrix_cell); + the_new_cell = fractureCell_matrixCell_addedMatrixCell(aaa,3); + the_fracture_cell_flag = fractureCell_matrixCell_addedMatrixCell(aaa,1); +% number_of_adding = number_of_adding+1; +% the_new_cell = number_of_adding+ori_nmc; +for j = 1:size(Ninterflow,1) + if Ninterflow(j,1) == the_matrix_cell + the_added_mf_connec = [the_added_mf_connec;the_new_cell,Ninterflow(j,2)]; +%% -------------------------------------------------------------------------˴޸֮----------------------------------------------------------------------- + if mod(the_fracture_cell_flag, numberInGroup) == 1 + the_added_mf_T = [the_added_mf_T; Tinterflow(j)/2*((1/4)/((1+3/4)/4))]; + Tinterflow(j) = Tinterflow(j)/2*((1/4)/((2-1-3/4)/4)); + end + if mod(the_fracture_cell_flag, numberInGroup) == 2 + the_added_mf_T = [the_added_mf_T; Tinterflow(j)/2*((1/4)/((3/4+2/4)/4))]; + Tinterflow(j) = Tinterflow(j)/2*((1/4)/((2-3/4-2/4)/4)); + end + if mod(the_fracture_cell_flag, numberInGroup) == 3 + the_added_mf_T = [the_added_mf_T; Tinterflow(j)/2*((1/4)/((2/4+1/4)/4))]; + Tinterflow(j) = Tinterflow(j)/2*((1/4)/((2-2/4-1/4)/4)); + end + if mod(the_fracture_cell_flag, numberInGroup) == 0 + the_added_mf_T = [the_added_mf_T; Tinterflow(j)/2*((1/4)/((0+1/4)/4))]; + Tinterflow(j) = Tinterflow(j)/2*((1/4)/((2-0-1/4)/4)); + end +%% -------------------------------------------------------------------------˴޸֮----------------------------------------------------------------------- + end +end +end +Ninterflow = [Ninterflow; the_added_mf_connec]; +Tinterflow = [Tinterflow; the_added_mf_T]; +%% 2014ķΪƵʽ +% syms x y z; +% Ninterflow=[]; +% Tinterflow=[]; +% for i=1:nx*ny*nz % +% for j=1:10 +% if matrixvsfra(i,j)~=0 %this matrix cell contains a fracture cell +% Ninterflow=[Ninterflow;i,matrixvsfra(i,j)+nmc]; +% kcell=(kx(i)*ky(i)*kz(i))^(1/3); +% K1=Kf(matrixvsfra(i,j));d1=Wf(matrixvsfra(i,j)); +% K2=kffl(matrixvsfra(i,j));d2=dffl(matrixvsfra(i,j)); +% Annc=2*areavsfra(matrixvsfra(i,j)); +% fracore=corevsfra(matrixvsfra(i,j),:); +% matnodes=nodes(i,:); +% verco=coord(matnodes,:);norvec=normalvec(matrixvsfra(i,j),:); +% matcore=mean(verco);d0=matcore-fracore; +% dn=(x+d0(1))*norvec(1)+(y+d0(2))*norvec(2)+(z+d0(3))*norvec(3); +% % dn=abs(dn);%ӰֵЧ +% dn=sqrt(dn^2); +% dn=matlabFunction(dn); +% if norvec(1)~=0 && norvec(2)~=0 && norvec(3)~=0 +% Dn=integral3(dn,-dxv(i)/2,dxv(i)/2,-dyv(i)/2,dyv(i)/2,-dzv(i)*NTG(i)/2,dzv(i)*NTG(i)/2)/(dxv(i)*dyv(i)*dzv(i)*NTG(i)); +% else if norvec(1)~=0 && norvec(2)~=0 +% Dn=dzv(i)*NTG(i)*integral2(dn,-dxv(i)/2,dxv(i)/2,-dyv(i)/2,dyv(i)/2)/(dxv(i)*dyv(i)*dzv(i)*NTG(i)); +% else if norvec(1)~=0 && norvec(3)~=0 +% Dn=dyv(i)*integral2(dn,-dxv(i)/2,dxv(i)/2,-dzv(i)*NTG(i)/2,dzv(i)*NTG(i)/2)/(dxv(i)*dyv(i)*dzv(i)*NTG(i)); +% else if norvec(2)~=0 && norvec(3)~=0 +% Dn=dxv(i)*integral2(dn,-dyv(i)/2,dyv(i)/2,-dzv(i)*NTG(i)/2,dzv(i)*NTG(i)/2)/(dxv(i)*dyv(i)*dzv(i)*NTG(i)); +% else if norvec(1)~=0 +% Dn=dyv(i)*dzv(i)*NTG(i)*integral(dn,-dxv(i)/2,dxv(i)/2)/(dxv(i)*dyv(i)*dzv(i)*NTG(i)); +% else if norvec(2)~=0 +% Dn=dxv(i)*dzv(i)*NTG(i)*integral(dn,-dyv(i)/2,dyv(i)/2)/(dxv(i)*dyv(i)*dzv(i)*NTG(i)); +% else if norvec(3)~=0 +% Dn=dxv(i)*dyv(i)*integral(dn,-dzv(i)*NTG(i)/2,dzv(i)*NTG(i)/2)/(dxv(i)*dyv(i)*dzv(i)*NTG(i)); +% end +% end +% end +% end +% end +% end +% end +% raoT=((Kcell*Annc/(Dn-d2))^(-1)+(K2*Annc/d2)^(-1)+(K1*Annc/d1)^(-1))^(-1); +% Tinterflow=[Tinterflow;raoT]; +% end +% end +% end + +%% ľֱ +N = [N; Nmff+nmc; Nff+nmc;Ninterflow;]; +T = [T; Tmff; Tff;Tinterflow;]; +T_convection = [T_convection;Tmff_convection; Tff_convection;Tinterflow_convection;]; +nex=size(N,1); +end diff --git a/generic extended/plotDis_3D_to_2D_1to3.m b/generic extended/plotDis_3D_to_2D_1to3.m new file mode 100644 index 0000000..310a4ed --- /dev/null +++ b/generic extended/plotDis_3D_to_2D_1to3.m @@ -0,0 +1,241 @@ +function plotDis_3D_to_2D_1to3(i, r, OutputRs, type) +coordinate=r.coordinates; +nodes=r.nodes; +cell_divided_by_fracture_flag = r.cell_divided_by_fracture_flag; +nmc = size(nodes,1); +% nel = size(nodes,2); +nel = 4; +if type == 1 + v = OutputRs{i}.p; +else + v = 1-OutputRs{i}.sw;%ͱͶ +end +number_divided_cells = size(cell_divided_by_fracture_flag,1); +dis = zeros(nel, nmc-number_divided_cells); +x = zeros(nel, nmc-number_divided_cells); +y = zeros(nel, nmc-number_divided_cells); +the_numbering = 0; +for i = 1 :nmc + if ~ismember(i,cell_divided_by_fracture_flag) + the_numbering = the_numbering +1; + for j = 1 :nel + x(j, the_numbering) = coordinate(nodes(i,j), 1); + y(j, the_numbering) = coordinate(nodes(i,j), 2); + if j == 3 + x(j, the_numbering) = coordinate(nodes(i,4), 1); + y(j, the_numbering) = coordinate(nodes(i,4), 2); + end + if j == 4 + x(j, the_numbering) = coordinate(nodes(i,3), 1); + y(j, the_numbering) = coordinate(nodes(i,3), 2); + end + dis(j, the_numbering) = v(i); + end + end +end +% ѷʷֵͼ +nel = 3; +% if type == 1 +% v = OutputRs{i}.p; +% else +% v = 1-OutputRs{i}.sw;%ͱͶ +% end +fractureCell_matrixCell_addedMatrixCell = r.fractureCell_matrixCell_addedMatrixCell; +volume_ratio = r.volume_ratio; +number_divided_cells = size(cell_divided_by_fracture_flag,1); +% dis_division = zeros(nel, 2*number_divided_cells); +% x_division = zeros(nel, 2*number_divided_cells); +% y_division = zeros(nel, 2*number_divided_cells); +dis_division_type1 = []; +x_division_type1 = []; +y_division_type1 = []; +nel_type1 = 4; + +dis_division_type2 = []; +x_division_type2 = []; +y_division_type2 = []; +nel_type2 = 3; + +the_numbering_division = 0; +for i = 1:nmc + if ismember(i,cell_divided_by_fracture_flag) + aaa = find(cell_divided_by_fracture_flag==i); + theVolumeRatio = volume_ratio(aaa); + theMatrixCell = cell_divided_by_fracture_flag(aaa); + bbb = find(fractureCell_matrixCell_addedMatrixCell(:,2) == theMatrixCell); + theAddedMatrixCell = fractureCell_matrixCell_addedMatrixCell(bbb,3); + if theVolumeRatio == 5/6 +% % % % Ҳı, ӵĻ +% % % the_x_division_type1 = [coordinate(nodes(i,1), 1);coordinate(nodes(i,2), 1);coordinate(nodes(i,4), 1);2/3*coordinate(nodes(i,3), 1)+1/3*coordinate(nodes(i,4), 1)]; +% % % x_division_type1 = [x_division_type1, the_x_division_type1]; +% % % +% % % the_y_division_type1 = [coordinate(nodes(i,1), 2);coordinate(nodes(i,2), 2);coordinate(nodes(i,4), 2);2/3*coordinate(nodes(i,3), 2)+1/3*coordinate(nodes(i,4), 2)]; +% % % y_division_type1 = [y_division_type1, the_y_division_type1]; +% % % +% % % the_dis_division_type1 = v(theAddedMatrixCell)*ones(4,1); +% % % dis_division_type1 = [dis_division_type1, the_dis_division_type1]; + + % , ԭʼ + the_x_division_type2 = [2/3*coordinate(nodes(i,3), 1)+1/3*coordinate(nodes(i,4), 1);coordinate(nodes(i,1), 1);coordinate(nodes(i,3), 1);]; + x_division_type2 = [x_division_type2, the_x_division_type2]; + + the_y_division_type2 = [2/3*coordinate(nodes(i,3), 2)+1/3*coordinate(nodes(i,4), 2);coordinate(nodes(i,1), 2);coordinate(nodes(i,3), 2);]; + y_division_type2 = [y_division_type2, the_y_division_type2]; + + the_dis_division_type2 = v(theMatrixCell)*ones(3,1); + dis_division_type2 = [dis_division_type2, the_dis_division_type2]; + end + if theVolumeRatio == 1/2 +% % % % Ҳӵıλ +% % % the_x_division_type1 = [2/3*coordinate(nodes(i,1), 1)+1/3*coordinate(nodes(i,2), 1);coordinate(nodes(i,2), 1);coordinate(nodes(i,4), 1);1/3*coordinate(nodes(i,3), 1)+2/3*coordinate(nodes(i,4), 1)]; +% % % x_division_type1 = [x_division_type1, the_x_division_type1]; +% % % +% % % the_y_division_type1 = [2/3*coordinate(nodes(i,1), 2)+1/3*coordinate(nodes(i,2), 2);coordinate(nodes(i,2), 2);coordinate(nodes(i,4), 2);1/3*coordinate(nodes(i,3), 2)+2/3*coordinate(nodes(i,4), 2)]; +% % % y_division_type1 = [y_division_type1, the_y_division_type1]; +% % % +% % % the_dis_division_type1 = v(theAddedMatrixCell)*ones(4,1); +% % % dis_division_type1 = [dis_division_type1, the_dis_division_type1]; + % ԭʼıλ + the_x_division_type1 = [2/3*coordinate(nodes(i,1), 1)+1/3*coordinate(nodes(i,2), 1);1/3*coordinate(nodes(i,3), 1)+2/3*coordinate(nodes(i,4), 1); coordinate(nodes(i,3), 1);coordinate(nodes(i,1), 1);]; + x_division_type1 = [x_division_type1, the_x_division_type1]; + + the_y_division_type1 = [2/3*coordinate(nodes(i,1), 2)+1/3*coordinate(nodes(i,2), 2);1/3*coordinate(nodes(i,3), 2)+2/3*coordinate(nodes(i,4), 2); coordinate(nodes(i,3), 2);coordinate(nodes(i,1), 2);]; + y_division_type1 = [y_division_type1, the_y_division_type1]; + + the_dis_division_type1 = v(theMatrixCell)*ones(4,1); + dis_division_type1 = [dis_division_type1, the_dis_division_type1]; + end + if theVolumeRatio == 1/6 + % ı, ԭʼ + the_x_division_type1 = [coordinate(nodes(i,1), 1);1/3*coordinate(nodes(i,1), 1)+2/3*coordinate(nodes(i,2), 1);coordinate(nodes(i,4), 1);coordinate(nodes(i,3), 1);]; + x_division_type1 = [x_division_type1, the_x_division_type1]; + + the_y_division_type1 = [coordinate(nodes(i,1), 2);1/3*coordinate(nodes(i,1), 2)+2/3*coordinate(nodes(i,2), 2);coordinate(nodes(i,4), 2);coordinate(nodes(i,3), 2);]; + y_division_type1 = [y_division_type1, the_y_division_type1]; + + the_dis_division_type1 = v(theMatrixCell)*ones(4,1); + dis_division_type1 = [dis_division_type1, the_dis_division_type1]; + +% % % % , ҲӵĻ +% % % the_x_division_type2 = [1/3*coordinate(nodes(i,1), 1)+2/3*coordinate(nodes(i,2), 1); coordinate(nodes(i,2), 1);coordinate(nodes(i,4), 1);]; +% % % x_division_type2 = [x_division_type2, the_x_division_type2]; +% % % +% % % the_y_division_type2 = [1/3*coordinate(nodes(i,1), 2)+2/3*coordinate(nodes(i,2), 2); coordinate(nodes(i,2), 2);coordinate(nodes(i,4), 2);]; +% % % y_division_type2 = [y_division_type2, the_y_division_type2]; +% % % +% % % the_dis_division_type2 = v(theAddedMatrixCell)*ones(3,1); +% % % dis_division_type2 = [dis_division_type2, the_dis_division_type2]; + end + end +end +% fill(x,y,dis,'EdgeAlpha',1); +figure('color','w'); +fill(x,y,dis,'EdgeColor','interp'); +hold on; +fill(x_division_type2,y_division_type2,dis_division_type2,'EdgeColor','interp'); +hold on; +fill(x_division_type1,y_division_type1,dis_division_type1,'EdgeColor','interp'); + +% +dis_division_type1 = []; +x_division_type1 = []; +y_division_type1 = []; +nel_type1 = 4; + +dis_division_type2 = []; +x_division_type2 = []; +y_division_type2 = []; +nel_type2 = 3; + +for i = 1:nmc + if ismember(i,cell_divided_by_fracture_flag) + aaa = find(cell_divided_by_fracture_flag==i); + theVolumeRatio = volume_ratio(aaa); + theMatrixCell = cell_divided_by_fracture_flag(aaa); + bbb = find(fractureCell_matrixCell_addedMatrixCell(:,2) == theMatrixCell); + theAddedMatrixCell = fractureCell_matrixCell_addedMatrixCell(bbb,3); + if theVolumeRatio == 5/6 + % Ҳı, ӵĻ + the_x_division_type1 = [coordinate(nodes(i,1), 1);coordinate(nodes(i,2), 1);coordinate(nodes(i,4), 1);2/3*coordinate(nodes(i,3), 1)+1/3*coordinate(nodes(i,4), 1)]; + x_division_type1 = [x_division_type1, the_x_division_type1]; + + the_y_division_type1 = [coordinate(nodes(i,1), 2);coordinate(nodes(i,2), 2);coordinate(nodes(i,4), 2);2/3*coordinate(nodes(i,3), 2)+1/3*coordinate(nodes(i,4), 2)]; + y_division_type1 = [y_division_type1, the_y_division_type1]; + + the_dis_division_type1 = v(theAddedMatrixCell)*ones(4,1); + dis_division_type1 = [dis_division_type1, the_dis_division_type1]; + +% % % % , ԭʼ +% % % the_x_division_type2 = [2/3*coordinate(nodes(i,3), 1)+1/3*coordinate(nodes(i,4), 1);coordinate(nodes(i,1), 1);coordinate(nodes(i,3), 1);]; +% % % x_division_type2 = [x_division_type2, the_x_division_type2]; +% % % +% % % the_y_division_type2 = [2/3*coordinate(nodes(i,3), 2)+1/3*coordinate(nodes(i,4), 2);coordinate(nodes(i,1), 2);coordinate(nodes(i,3), 2);]; +% % % y_division_type2 = [y_division_type2, the_y_division_type2]; +% % % +% % % the_dis_division_type2 = v(theMatrixCell)*ones(3,1); +% % % dis_division_type2 = [dis_division_type2, the_dis_division_type2]; + end + if theVolumeRatio == 1/2 + % Ҳӵıλ + the_x_division_type1 = [2/3*coordinate(nodes(i,1), 1)+1/3*coordinate(nodes(i,2), 1);coordinate(nodes(i,2), 1);coordinate(nodes(i,4), 1);1/3*coordinate(nodes(i,3), 1)+2/3*coordinate(nodes(i,4), 1)]; + x_division_type1 = [x_division_type1, the_x_division_type1]; + + the_y_division_type1 = [2/3*coordinate(nodes(i,1), 2)+1/3*coordinate(nodes(i,2), 2);coordinate(nodes(i,2), 2);coordinate(nodes(i,4), 2);1/3*coordinate(nodes(i,3), 2)+2/3*coordinate(nodes(i,4), 2)]; + y_division_type1 = [y_division_type1, the_y_division_type1]; + + the_dis_division_type1 = v(theAddedMatrixCell)*ones(4,1); + dis_division_type1 = [dis_division_type1, the_dis_division_type1]; + % ԭʼıλ +% % % the_x_division_type1 = [2/3*coordinate(nodes(i,1), 1)+1/3*coordinate(nodes(i,2), 1);1/3*coordinate(nodes(i,3), 1)+2/3*coordinate(nodes(i,4), 1); coordinate(nodes(i,3), 1);coordinate(nodes(i,1), 1);]; +% % % x_division_type1 = [x_division_type1, the_x_division_type1]; +% % % +% % % the_y_division_type1 = [2/3*coordinate(nodes(i,1), 2)+1/3*coordinate(nodes(i,2), 2);1/3*coordinate(nodes(i,3), 2)+2/3*coordinate(nodes(i,4), 2); coordinate(nodes(i,3), 2);coordinate(nodes(i,1), 2);]; +% % % y_division_type1 = [y_division_type1, the_y_division_type1]; +% % % +% % % the_dis_division_type1 = v(theMatrixCell)*ones(4,1); +% % % dis_division_type1 = [dis_division_type1, the_dis_division_type1]; + end + if theVolumeRatio == 1/6 +% % % % ı, ԭʼ +% % % the_x_division_type1 = [coordinate(nodes(i,1), 1);1/3*coordinate(nodes(i,1), 1)+2/3*coordinate(nodes(i,2), 1);coordinate(nodes(i,4), 1);coordinate(nodes(i,3), 1);]; +% % % x_division_type1 = [x_division_type1, the_x_division_type1]; +% % % +% % % the_y_division_type1 = [coordinate(nodes(i,1), 2);1/3*coordinate(nodes(i,1), 2)+2/3*coordinate(nodes(i,2), 2);coordinate(nodes(i,4), 2);coordinate(nodes(i,3), 2);]; +% % % y_division_type1 = [y_division_type1, the_y_division_type1]; +% % % +% % % the_dis_division_type1 = v(theMatrixCell)*ones(4,1); +% % % dis_division_type1 = [dis_division_type1, the_dis_division_type1]; + + % , ҲӵĻ + the_x_division_type2 = [1/3*coordinate(nodes(i,1), 1)+2/3*coordinate(nodes(i,2), 1); coordinate(nodes(i,2), 1);coordinate(nodes(i,4), 1);]; + x_division_type2 = [x_division_type2, the_x_division_type2]; + + the_y_division_type2 = [1/3*coordinate(nodes(i,1), 2)+2/3*coordinate(nodes(i,2), 2); coordinate(nodes(i,2), 2);coordinate(nodes(i,4), 2);]; + y_division_type2 = [y_division_type2, the_y_division_type2]; + + the_dis_division_type2 = v(theAddedMatrixCell)*ones(3,1); + dis_division_type2 = [dis_division_type2, the_dis_division_type2]; + end + end +end + +hold on; +fill(x_division_type2,y_division_type2,dis_division_type2,'EdgeColor','interp'); +hold on; +fill(x_division_type1,y_division_type1,dis_division_type1,'EdgeColor','interp'); + + +% +xlabel( 'x, m' ); +ylabel( 'y, m' ); +axis equal; +axis tight +xlim([0,60]); +ylim([0,60]); +colorbar +colormap jet +if type == 1 +caxis([14,43]); +end +% fill(x,y,dis); +% axis off diff --git a/generic extended/plotDis_3D_to_2D_new.m b/generic extended/plotDis_3D_to_2D_new.m new file mode 100644 index 0000000..257c064 --- /dev/null +++ b/generic extended/plotDis_3D_to_2D_new.m @@ -0,0 +1,85 @@ +function plotDis_3D_to_2D_new(i, r, OutputRs, type) +coordinate=r.coordinates; +nodes=r.nodes; +cell_divided_by_fracture_flag = r.cell_divided_by_fracture_flag; +nmc = size(nodes,1); +% nel = size(nodes,2); +nel = 4; +if type == 1 + v = OutputRs{i}.p; +else + v = 1-OutputRs{i}.sw;%ͱͶ +end +number_divided_cells = size(cell_divided_by_fracture_flag,1); +dis = zeros(nel, nmc-number_divided_cells); +x = zeros(nel, nmc-number_divided_cells); +y = zeros(nel, nmc-number_divided_cells); +the_numbering = 0; +for i = 1 :nmc + if ~ismember(i,cell_divided_by_fracture_flag) + the_numbering = the_numbering +1; + for j = 1 :nel + x(j, the_numbering) = coordinate(nodes(i,j), 1); + y(j, the_numbering) = coordinate(nodes(i,j), 2); + if j == 3 + x(j, the_numbering) = coordinate(nodes(i,4), 1); + y(j, the_numbering) = coordinate(nodes(i,4), 2); + end + if j == 4 + x(j, the_numbering) = coordinate(nodes(i,3), 1); + y(j, the_numbering) = coordinate(nodes(i,3), 2); + end + dis(j, the_numbering) = v(i); + end + end +end +% ѷʷֵͼ +nel = 3; +% if type == 1 +% v = OutputRs{i}.p; +% else +% v = 1-OutputRs{i}.sw;%ͱͶ +% end +number_divided_cells = size(cell_divided_by_fracture_flag,1); +dis_division = zeros(nel, 2*number_divided_cells); +x_division = zeros(nel, 2*number_divided_cells); +y_division = zeros(nel, 2*number_divided_cells); +the_numbering_division = 0; +for i = 1 :nmc + if ismember(i,cell_divided_by_fracture_flag) + the_numbering_division = the_numbering_division +2; +% for j = 1 :nel + x_division(1, the_numbering_division-1) = coordinate(nodes(i,1), 1); + y_division(1, the_numbering_division-1) = coordinate(nodes(i,1), 2); + x_division(2, the_numbering_division-1) = coordinate(nodes(i,4), 1); + y_division(2, the_numbering_division-1) = coordinate(nodes(i,4), 2); + x_division(3, the_numbering_division-1) = coordinate(nodes(i,3), 1); + y_division(3, the_numbering_division-1) = coordinate(nodes(i,3), 2); + dis_division(1:3, the_numbering_division-1) = v(i)*ones(3,1); + + x_division(1, the_numbering_division) = coordinate(nodes(i,1), 1); + y_division(1, the_numbering_division) = coordinate(nodes(i,1), 2); + x_division(2, the_numbering_division) = coordinate(nodes(i,2), 1); + y_division(2, the_numbering_division) = coordinate(nodes(i,2), 2); + x_division(3, the_numbering_division) = coordinate(nodes(i,4), 1); + y_division(3, the_numbering_division) = coordinate(nodes(i,4), 2); + + dis_division(1:3, the_numbering_division) = v(nmc+the_numbering_division/2)*ones(3,1); +% end + end +end +% fill(x,y,dis,'EdgeAlpha',1); +figure('color','w'); +fill(x,y,dis,'EdgeColor','interp'); +hold on; +fill(x_division,y_division,dis_division,'EdgeColor','interp'); +xlabel( 'x, m' ); +ylabel( 'y, m' ); +axis equal; +axis tight +xlim([0,60]); +ylim([0,60]); +colorbar +colormap jet +% fill(x,y,dis); +% axis off diff --git a/generic extended/plotDislayer.m b/generic extended/plotDislayer.m new file mode 100644 index 0000000..4d53d84 --- /dev/null +++ b/generic extended/plotDislayer.m @@ -0,0 +1,145 @@ +function plotDislayer(i, k ,r,OutputRs, type) +%i:ʱ㣬kǴIJλtype: 1ѹ +figure('color','w') +[ downgrid, frontgrid ,leftgrid, rightgrid, backgrid, upgrid ] = preplot_dislayer( r,k ); +coordinate=r.coordinates; +nodes=r.nodes; +nx=r.nx; +ny=r.ny; +nz=r.nz; +% order=[1,2,4,3,1,5,6,8,7,3,4,8,6,2,1];%fillͼ +% % nmc = size(nodes,1);% +% nmc = nx*ny; +% % nel = size(nodes,2);%ÿĵ +% nel=size(order,2); +if type == 1 + v = OutputRs{i}.p; +% v = log(r.kx); +elseif type == 2 +% v = 1-OutputRs{i}.sw -OutputRs{i}.sg;%ͱͶ + v = 1-OutputRs{i}.sw;%ͱͶ +elseif type == 3 + v = OutputRs{i}.sg;%ͱͶ +else + v = OutputRs{i}.sw;%ͱͶ +end +% +order=[1,2,4,3,1]; +nel=size(order,2); +nmc=size(downgrid,2); +dis = zeros(nel, nmc); +x = zeros(nel, nmc); +y = zeros(nel, nmc); +z = zeros(nel, nmc); +for i = 1 : nmc + for j = 1 : nel + x(j, i) = coordinate(nodes(downgrid(i),order(j)), 1); + y(j, i) = coordinate(nodes(downgrid(i),order(j)), 2); + z(j, i) = coordinate(nodes(downgrid(i),order(j)), 3); + dis(j, i) = v(downgrid(i)); + end +end +fill3(x,y,z,dis,'edgeColor','interp'); +hold on + +% +order=[1,5,7,3,1]; +nel=size(order,2); +nmc=size(leftgrid,2); +dis = zeros(nel, nmc); +x = zeros(nel, nmc); +y = zeros(nel, nmc); +z = zeros(nel, nmc); +for i = 1 : nmc + for j = 1 : nel + x(j, i) = coordinate(nodes(leftgrid(i),order(j)), 1); + y(j, i) = coordinate(nodes(leftgrid(i),order(j)), 2); + z(j, i) = coordinate(nodes(leftgrid(i),order(j)), 3); + dis(j, i) = v(leftgrid(i)); + end +end +fill3(x,y,z,dis,'edgeColor','interp'); + +% +order=[2,4,8,6,2]; +nel=size(order,2); +nmc=size(rightgrid,2); +dis = zeros(nel, nmc); +x = zeros(nel, nmc); +y = zeros(nel, nmc); +z = zeros(nel, nmc); +for i = 1 : nmc + for j = 1 : nel + x(j, i) = coordinate(nodes(rightgrid(i),order(j)), 1); + y(j, i) = coordinate(nodes(rightgrid(i),order(j)), 2); + z(j, i) = coordinate(nodes(rightgrid(i),order(j)), 3); + dis(j, i) = v(rightgrid(i)); + end +end +fill3(x,y,z,dis,'edgeColor','interp'); + +%ǰ +order=[1,2,6,5,1]; +nel=size(order,2); +nmc=size(frontgrid,2); +dis = zeros(nel, nmc); +x = zeros(nel, nmc); +y = zeros(nel, nmc); +z = zeros(nel, nmc); +for i = 1 : nmc + for j = 1 : nel + x(j, i) = coordinate(nodes(frontgrid(i),order(j)), 1); + y(j, i) = coordinate(nodes(frontgrid(i),order(j)), 2); + z(j, i) = coordinate(nodes(frontgrid(i),order(j)), 3); + dis(j, i) = v(frontgrid(i)); + end +end +fill3(x,y,z,dis,'edgeColor','interp'); + +% +order=[3,4,8,7,3]; +nel=size(order,2); +nmc=size(backgrid,2); +dis = zeros(nel, nmc); +x = zeros(nel, nmc); +y = zeros(nel, nmc); +z = zeros(nel, nmc); +for i = 1 : nmc + for j = 1 : nel + x(j, i) = coordinate(nodes(backgrid(i),order(j)), 1); + y(j, i) = coordinate(nodes(backgrid(i),order(j)), 2); + z(j, i) = coordinate(nodes(backgrid(i),order(j)), 3); + dis(j, i) = v(backgrid(i)); + end +end +fill3(x,y,z,dis,'edgeColor','interp'); + +% +order=[5,6,8,7,5]; +nel=size(order,2); +nmc=size(upgrid,2); +dis = zeros(nel, nmc); +x = zeros(nel, nmc); +y = zeros(nel, nmc); +z = zeros(nel, nmc); +for i = 1 : nmc + for j = 1 : nel + x(j, i) = coordinate(nodes(upgrid(i),order(j)), 1); + y(j, i) = coordinate(nodes(upgrid(i),order(j)), 2); + z(j, i) = coordinate(nodes(upgrid(i),order(j)), 3); + dis(j, i) = v(upgrid(i)); + end +end +fill3(x,y,z,dis,'edgeColor','interp'); +set(gca,'FontName','Times New Roman','FontSize',10,'FontWeight','bold'); +xlabel('x, m'); +ylabel('y, m'); +zlabel('z, m'); +view(2); +% fill(x,y,dis); +axis equal +% axis off +axis tight +colormap jet +colorbar +% caxis([0.2,0.8]); diff --git a/generic extended/plotWellResponse.m b/generic extended/plotWellResponse.m new file mode 100644 index 0000000..b6509ec --- /dev/null +++ b/generic extended/plotWellResponse.m @@ -0,0 +1,15 @@ +figure('color','w'); +plot(wellResponseData(1:105,1),wellResponseData(1:105,2),'rs-','markersize',6); +hold on; +plot(wellResponseData(1:105,3),wellResponseData(1:105,4),'bo-','markersize',6); +hold on; +plot(wellResponseData(1:104,5),wellResponseData(1:104,6),'k^-','markersize',6); +hold on; +plot(wellResponseData(1:104,7),wellResponseData(1:104,8),'gv-','markersize',6); +hold on; +plot(wellResponseData(1:104,9),wellResponseData(1:104,10),'k-','markersize',6); +hold off; +xlabel('time, days'); +ylabel('water cut of the porduction well, fraction'); +ylabel('BHP of the injection well, MPa'); +legend('EDFM', 'pEDFM-discontinuous', 'pEDFM-continuous','proposed pEDFM workflow','reference solution');% ,'pEDFM, case 3' \ No newline at end of file diff --git a/generic extended/plot_Newtons.m b/generic extended/plot_Newtons.m new file mode 100644 index 0000000..1b940d9 --- /dev/null +++ b/generic extended/plot_Newtons.m @@ -0,0 +1,13 @@ +figure('color','w'); +plot(Newtons(1:120,1),Newtons(1:120,2),'k^-'); +hold on; +plot(Newtons(1:123,3),Newtons(1:123,4),'rs-'); +hold on; +plot(Newtons(1:121,5),Newtons(1:121,6),'bo-'); +hold on; +plot(Newtons(1:121,7),Newtons(1:121,8),'gv-'); +hold off; +xlabel('time, days'); +ylabel('cumulative Newton iteration steps'); +legend('EDFM', 'pEDFM, method 1', 'pEDFM, method 2','pEDFM, method 3');% ,'pEDFM, case 3' + diff --git a/generic extended/plot_continuous.m b/generic extended/plot_continuous.m new file mode 100644 index 0000000..eb775fc --- /dev/null +++ b/generic extended/plot_continuous.m @@ -0,0 +1,116 @@ +dx=[0.5*ones(1,120) ]; +dy=[0.5*ones(1,120) ]; +dz=[2*ones(1,1)]; +nx=size(dx,2); +ny=size(dy,2); +nz=size(dz,2); +x_size = 60; +y_size = 60; +coordinates_pre = zeros(nx*ny*nz,2); +select_t = 120; +for k = 1:nz + for j = 1:ny + for i = 1:nx + if i == 1 + coordinates_pre(i+(j-1)*nx+(k-1)*nx*ny,1) = sum(dx(1:1),2)/2; + else + coordinates_pre(i+(j-1)*nx+(k-1)*nx*ny,1) = (sum(dx(1:i-1),2)+sum(dx(1:i),2))/2; + end + if j == 1 + coordinates_pre(i+(j-1)*nx+(k-1)*nx*ny,2) = sum(dy(1:1),2)/2; + else + coordinates_pre(i+(j-1)*nx+(k-1)*nx*ny,2) = (sum(dy(1:j-1),2)+sum(dy(1:j),2))/2; + end + % if k == 1 + % coordinates_pre(i+(j-1)*nx+(k-1)*nx*ny,3) = sum(dz(1:1),2)/2; + % else + % coordinates_pre(i+(j-1)*nx+(k-1)*nx*ny,3) = (sum(dz(1:k-1),2)+sum(dz(1:k),2))/2; + % end + end + end +end +% select_t = 508; +zData = OutputRs{select_t, 1}.p(1:nx*ny*nz,1); +zData1 = 1-OutputRs{select_t, 1}.sw(1:nx*ny*nz,1); +xData = coordinates_pre(:,1); +yData = coordinates_pre(:,2); +% zData = DATA_plot(:,21); +% zData1 = DATA_plot(:,22); + +% minx = min(xData); +% maxx = max(xData); +% miny = min(yData); +% maxy = max(yData); +minx = 0; +maxx = x_size; +miny = 0; +maxy = y_size; + +tx = (minx:0.05:maxx)'; +ty = (miny:0.05:maxy)'; + +[XI,YI] = meshgrid(tx,ty); +% ǻͼ +% ο̻ +% Comput_domain_x = [0 40 200 160 200 40 0]; +% Comput_domain_y = [40 80 80 40 0 0 40]; +Comput_domain_x = [0 x_size x_size 0 0]; +Comput_domain_y = [0 0 y_size y_size 0]; +% load('coordinates_boundary_node_order.mat'); +% coordinates_boundary_node_order(:,1) = coordinates_boundary_node_order(:,1) + 200; +% coordinates_boundary_node_order(:,2) = coordinates_boundary_node_order(:,2) + 130; +% Comput_domain_x = coordinates_boundary_node_order(:,1); +% Comput_domain_y = coordinates_boundary_node_order(:,2); +% +NX = size(XI,1); +NY = size(YI,1); +% for i = 1:NX +% for j = 1:NY +% in=inpolygon(XI,YI,Comput_domain_x,Comput_domain_x); +% end +% end +in=inpolygon(XI,YI,Comput_domain_x',Comput_domain_y'); +XI(~in) = nan; YI(~in) = nan; + +% for i = 1:NX +% for j = 1:NY +% in=inpolygon(XI(i,j),YI(i,j),Comput_domain_x',Comput_domain_y'); +% if ~in XI(i,j) = nan; YI(i,j) = nan; end +% end +% end +ZI = griddata(xData,yData,zData,XI,YI); +ZII = griddata(xData,yData,zData1,XI,YI); +figure('color','w');surf(XI,YI,ZI), hold +% plot3(xData,yData,zData,'o'), hold off +grid off +set(gca,'FontName','Times New Roman','FontSize',10,'FontWeight','bold'); +xlabel( 'x, m' ); +ylabel( 'y, m' ); +zlabel( 'z, m' ); +% grid on +view( 0, 90 ); +axis equal; +xlim([0,60]); +ylim([0,60]); +colorbar +colormap jet +% caxis([10,15]); +hold off +shading interp +% set('edgecolor','none') +figure('color','w');surf(XI,YI,ZII), hold +% plot3(xData,yData,zData1,'o'), hold off +set(gca,'FontName','Times New Roman','FontSize',10,'FontWeight','bold'); +xlabel( 'x, m' ); +ylabel( 'y, m' ); +zlabel( 'z, m' ); +view( 0, 90 ); +axis equal; +xlim([0,60]); +ylim([0,60]); +grid off +colorbar +colormap jet +caxis([0.2,0.8]); +hold off +shading interp diff --git a/generic extended/plotfigures.m b/generic extended/plotfigures.m new file mode 100644 index 0000000..e03cdd7 --- /dev/null +++ b/generic extended/plotfigures.m @@ -0,0 +1,42 @@ +numberMatrixCells = 120*120; +% % % resultsSaturation1to2 = zeros(numberMatrixCells,5); +% % % resultsPressure1to2 = zeros(numberMatrixCells,5); +% % % +% % % load('resultsEDFM.mat') +% % % theMaxNumber = size(OutputRs,1); +% % % plotDis_3D_to_2D(theMaxNumber, r, OutputRs, 2);saveas(gcf, 'EDFM_saturation.fig'); +% % % plotDis_3D_to_2D(theMaxNumber, r, OutputRs, 1);saveas(gcf, 'EDFM_pressure.fig'); +% % % resultsSaturation1to2(:,1) = OutputRs{theMaxNumber,1}.sw(1:numberMatrixCells,1); +% % % resultsPressure1to2(:,1) = OutputRs{theMaxNumber,1}.p(1:numberMatrixCells,1); +% % % +% % % load('resultsPEDFM_method1.mat') +% % % theMaxNumber = size(OutputRs,1); +% % % plotDis_3D_to_2D(theMaxNumber, r, OutputRs, 2);saveas(gcf, 'pEDFM_method1_saturation.fig'); +% % % plotDis_3D_to_2D(theMaxNumber, r, OutputRs, 1);saveas(gcf, 'pEDFM_method1_pressure.fig'); +% % % resultsSaturation1to2(:,2) = OutputRs{theMaxNumber,1}.sw(1:numberMatrixCells,1); +% % % resultsPressure1to2(:,2) = OutputRs{theMaxNumber,1}.p(1:numberMatrixCells,1); +% % % +% % % load('resultsPEDFM_method2.mat') +% % % theMaxNumber = size(OutputRs,1); +% % % plotDis_3D_to_2D(theMaxNumber, r, OutputRs, 2);saveas(gcf, 'pEDFM_method2_saturation.fig'); +% % % plotDis_3D_to_2D(theMaxNumber, r, OutputRs, 1);saveas(gcf, 'pEDFM_method2_pressure.fig'); +% % % resultsSaturation1to2(:,3) = OutputRs{theMaxNumber,1}.sw(1:numberMatrixCells,1); +% % % resultsPressure1to2(:,3) = OutputRs{theMaxNumber,1}.p(1:numberMatrixCells,1); +% % % +% % % load('resultsNewPEDFM.mat') +% % % theMaxNumber = size(OutputRs,1); +% % % plotDis_3D_to_2D(theMaxNumber, r, OutputRs, 2);saveas(gcf, 'NewPEDFM_saturation.fig'); +% % % plotDis_3D_to_2D(theMaxNumber, r, OutputRs, 1);saveas(gcf, 'NewPEDFM_pressure.fig'); +% % % resultsSaturation1to2(:,4) = OutputRs{theMaxNumber,1}.sw(1:numberMatrixCells,1); +% % % resultsPressure1to2(:,4) = OutputRs{theMaxNumber,1}.p(1:numberMatrixCells,1); + +load('resultsReference.mat') +theMaxNumber = size(OutputRs,1); +plotDis_3D_to_2D_1to2(theMaxNumber, r, OutputRs, 2);saveas(gcf, 'reference_saturation.fig'); +plotDis_3D_to_2D_1to2(theMaxNumber, r, OutputRs, 1);saveas(gcf, 'reference_pressure.fig'); +% % % resultsSaturation1to2(:,5) = OutputRs{theMaxNumber,1}.sw(1:numberMatrixCells,1); +% % % resultsPressure1to2(:,5) = OutputRs{theMaxNumber,1}.p(1:numberMatrixCells,1); + +% save resultsSaturation1to2 resultsSaturation1to2; +% save resultsPressure1to2 resultsPressure1to2 + diff --git a/generic extended/plotwell.m b/generic extended/plotwell.m new file mode 100644 index 0000000..3b0bcf9 --- /dev/null +++ b/generic extended/plotwell.m @@ -0,0 +1,14 @@ +t = Times; +n=size(Times,1); +% para = cell2mat(Wellpara); +nw=1;%ѡ +% n = length(para); +bhp = zeros(n,1); +for i = 1 : n +% bhp(i) = para(i).bhp(2); +% bhp(i) = Wellpara{i,1}{1,nw}.pwf; +bhp(i) = Wellpara{i}{1,nw}.qo; +% bhp(i) = Wellpara{i}{1,nw}.pwf; +end +plot(t,bhp,'b*-') +hold on \ No newline at end of file diff --git a/main.asv b/main.asv new file mode 100644 index 0000000..7594c47 --- /dev/null +++ b/main.asv @@ -0,0 +1,194 @@ +function [ r, Times, OutputRs, Wellpara, trun ] = main() +%% ==================================PART 1: 模型选取======================================== +% 1-- classical EDFM +modelflag = 1;% 此处固定为1即可 +%% ==================================PART 2: 基质网格定义===================================== +dx=[10*ones(1,100) ];nx=size(dx,2); +dy=[10*ones(1,50) ];ny=size(dy,2); +dz=[10*ones(1,2)];nz=size(dz,2); + +%% ==================================PART 3: 裂缝分布数据输入===================================== +% 四种输入方式: 1表示工程应用输入；2表示向量输入；3表示工程应用输入，包括基准点、倾角、方位角、抬升角；4表示从.fab文件读取 +input_style = 1; +%% 输入方式1：工程应用输入 +%仅能刻画具有双对称性质的矩形缝或椭圆缝 +% 基准点坐标（1），方位角（2），倾角（3），抬升角（4），缝长（椭圆长轴长）（5），缝高（椭圆短轴长）（6），类型1是矩形缝、2是椭圆缝（7） +if input_style==1 +input_content={ + [255,255,5],90,90,0,200,10,1; + [305,255,5],90,90,0,200,10,1; + [355,255,5],90,90,0,200,10,1; + [405,255,5],90,90,0,200,10,1; + [455,255,10],90,90,0,200,20,1; + [505,255,10],90,90,0,200,20,1; + [555,255,15],90,90,0,200,10,1; + [605,255,15],90,90,0,200,10,1; + [655,255,15],90,90,0,200,10,1; + [705,255,15],90,90,0,200,10,1; + [755,255,15],90,90,0,200,10,1; + }; +[f,fellip] = sort_fracture(input_content); +frac_information = fractureInformation_input_engineering_vector(f,fellip); +end +%% 输入方式2：向量输入 +%首先对矩形缝进行研究，裂缝参数包括三个向量和两个参数的取值范围，如果是其它类型缝，则是两个参数间的函数关系 +%因此一个5行三列的矩阵可以确定一条裂缝 +%向量分量可为非整数，以此保证参数范围的取值为整数即可， +%故可先随意确定为整数的参数范围，再根据缝长缝高去确定向量分量的取值 +% 矩形缝 +if input_style==2 + f=[ + 0,1200,0;10,-20,0;0,0,10;0,60,0;0,3,0; + 0,1200,0;10,20,0;0,0,10;0,15,0;0,3,0; + 150,1500,0;20,-10,0;0,0,10;0,20,0;0,3,0; + 550,1300,0;10,10,0;0,0,10;0,10,0;0,3,0; + 650,1400,0;10,-20,0;0,0,10;0,55,0;0,3,0; + 605,705,0;10,0,0;0,0,10;-20,20,0;0,3,0; + ]; +% 椭圆缝 +% fellip=[320,210,10;10,2,0;0,0,2;0,0,8;0,0,5; +% 280,300,10;10,2,0;0,0,2;0,0,10;0,0,4;]; +% 300,205,10;10,0,0;0,0,2;0,0,10;0,0,5]; +fellip=[]; +m=size(f,1);n=size(fellip,1);nf=(m+n)/5;%裂缝条数 +frac_information = fractureInformation_input_engineering_vector(f,fellip); +end +%% 输入方式3：二维输入 +% load('fractures_generated.mat'); +% fractureLines = fractures_generated; +fractureLines = [ + 105,150;105,350; + 205,150;205,350; + 305,150;305,350; + 405,150;405,350; + 505,150;505,350; + 605,150;605,350; + 705,150;705,350; + 805,150;805,350; + 905,150;905,350; + ]; +fellip=[]; % 椭圆缝 +fractureHeights = [ + 10;10;10;10;10;10;10;10;10]; +% 椭圆缝 +fellip=[]; +flowBarrierFlags = [];% flowBarrierFlags = [1;2;3;4]; +[f,frac_information] = input_fracture_2D(fractureLines,fractureHeights,flowBarrierFlags); +m=size(f,1);n=size(fellip,1);nf=(m+n)/5;%裂缝条数 +%% 输入方式4：从.fab文件读取 +if input_style==4 + +end + +%% ==================================PART 4: 基质网格及裂缝物性参数输入===================================== +% 1-- 单重介质 +% 2-- 双重介质（双孔双渗） +grid_model = 1; +if grid_model == 1 +r = grid_discretization_SP_model(modelflag, nx, ny, nz, dx, dy, dz, f, frac_information, fellip, nf); +end +if grid_model == 2 +r = grid_discretization_DP_model(modelflag, nx, ny, nz, dx, dy, dz, f, frac_information, fellip, nf); +end +%% 生成向量化变成所需要的算子 +os = OperatorRS(r.N, r.nex, r.nc); + +%% ==================================PART 5: 模型类型选取及初始状态设定========================================= +% 1-- 气水两相流 +% 2-- 油水两相流 +flow_model = 2; +if flow_model == 1 +[f,state0] = gas_water_flow(r); +end +if flow_model == 2 +[f,state0] = oil_water_flow(r); +end + +%% ==================================PART 6: 井制度schedule设定================================================ +%将直井、水平井与多段压裂水平井分开处理 +%% 直井、常规水平井定义 +% Wellcpara: wellname(1) nperf，射孔点数量(2) index(3) rw(4) skin(5) welltype(6) +% welltype=1 直井，welltype=2 水平井沿x方向，welltype=3 水平井沿y方向 welltype=4 多段压裂水平井 +% 直井、水平井，该种井型的处理是将射孔段安排在基质网格 +% 对于直井、斜井、水平井，采取与eclipse一致的方式，给出其在基质网格中位置 +% 每个射孔点由下px,py,pz确定，分别表示该射孔点在x方向，y方向的网格编号，及层数即z反方向上的网格编号（最初是以垂直向上建立的基质网格） +well1={ + 'w1', 2, [20 10 1;20 10 2;], 0.178/2, 0, 1; + 'w2', 2, [80 10 1;80 10 2;], 0.178/2, 0, 1; + 'w3', 1, [20 40 1;], 0.178/2, 0, 1; + 'w4', 1, [80 40 1;], 0.178/2, 0, 1; +% 'w2', 3, [67 20 1;67 20 2;67 20 3], 0.178/2, 0, 1; + }; +well1 = handle_well1(well1,r); +%% 压裂水平井定义 +% 多段压裂水平井：射孔段设置在裂缝单元上，可以给出该射孔点所在的坐标，然后去寻找该点所在的裂缝单元编号 +num_fracture_wells = 1; +welloc = cell(num_fracture_wells,1); +perfnum = cell(num_fracture_wells,1); +welloc{1,1}=[ + 255,155,5; + 305,155,5; + 355,155,5; + 405,155,5; + 455,155,5; + 505,155,5; + 555,155,15; + 605,155,15; + 655,155,15; + 705,155,15; + 755,155,15; + ]; +for i = 1:num_fracture_wells +perfnum{i,1} = findWelloc(r, welloc{i,1});%在用以Wellc0之中 +end +% perfnum2 = findWelloc(r, welloc2); +well2={ + 'w5', length(perfnum{1,1}), perfnum{1,1}, 0.178/2, 0,4; + }; +Wellc = handle_well1_well2(well1,well2,welloc,r); +%% 井制度设置（开关井、定压/定产、便于吞吐等） +number_phases = 1; +well_schedules = cell(number_phases,1); +time = zeros(number_phases,1); +% time = [100;30;200]; +% (1)well state: 'open'表示该井是开的；'close'表明该井一直是关的，如果只是阶段性关井，就用'open'定流量0生产 +% (2)well type: 'pro'表示是生产井；'inj'表示是注入井; +% (3)protype：'const_q'是定流量；'const_pwf'则是定压 +% (4)value：定的流量值或者井底压力值 +% (5)value：此代码该值与（3）值相同 +time(1) = 0.001; +well_schedules{1,1} = {'w1','open','inj','const_pwf',30,30; + 'w2','open','inj','const_pwf',30,30; + 'w3','open','inj','const_pwf',30,30; + 'w4','open','inj','const_pwf',30,30; + 'w5','open','pro','const_pwf',10,10;}; +% time(2) = 30; +% well_schedules{2,1} = {'w1','open','inj','const_pwf',30,30; +% 'w2','open','pro','const_q',0,0;}; +% time(3) = 200; +% well_schedules{3,1} = {'w1','open','inj','const_pwf',30,30; +% 'w2','open','pro','const_pwf',10,10;}; +% time(4) = 200; +% well_schedules{4,1} = {'w1','open','inj','const_pwf',30,30; +% 'w2','open','pro','const_pwf',10,10;}; +% time(5) = 200; +% well_schedules{5,1} = {'w1','open','inj','const_pwf',30,30; +% 'w2','open','pro','const_pwf',10,10;}; +% time(6) = 200; +% well_schedules{6,1} = {'w1','open','inj','const_pwf',30,30; +% 'w2','open','pro','const_pwf',10,10;}; + +%% ======================================PART 7: Solver设置=========================================== +yitap = 5; % 50-500psi +yitas = 0.04; % 0.05-0.5 +omega = 0.5; % 0-1 +Nmax = 50; +epsave = 1e-6; +epsmax = 1e-6; +dtmin = 0.000001; +dtmax = 0.0001; +%% ======================================PART 8: 正式计算=========================================== +[Times, OutputRs, Wellpara, trun] = solver_NR(r, f, os, state0, yitap,yitas,omega,Nmax,epsave,epsmax,dtmin,dtmax,Wellc,time,well_schedules); +run_time=toc; +trun.run_time=run_time; +end \ No newline at end of file diff --git a/plotWellResponse.asv b/plotWellResponse.asv new file mode 100644 index 0000000..b5a88f8 --- /dev/null +++ b/plotWellResponse.asv @@ -0,0 +1,55 @@ +function [] = plotWellResponse(Times,Wellpara) +% 输入 +wellNumber = 1; % 井号 +dataType = 'GPR'; % 类型，产气速度 GPR，产气速度 OPR, 产水速度 WPR，井底流压 BHP，压力导数 dPWF +% +t = Times; +n= size(Times,1); +% para = cell2mat(Wellpara); +nw = wellNumber;%选井号 +% n = length(para); +data = zeros(n,1); +if strcmp(dataType, 'GPR') +for i = 1 : n +data(i) = Wellpara{i}{1,nw}.qg; +figureYlegend = 'Gas production rate, m^3/d'; +end +end +if strcmp(dataType, 'OPR') +for i = 1 : n +data(i) = Wellpara{i}{1,nw}.qo; +figureYlegend = 'Oil production rate, m^3/d'; +end +end +if strcmp(dataType, 'WPR') +for i = 1 : n +data(i) = Wellpara{i}{1,nw}.qw; +figureYlegend = 'Water production rate, m^3/d'; +end +end +if strcmp(dataType, 'BHP') +for i = 1 : n +data(i) = Wellpara{i}{1,nw}.pwf; +figureYlegend = 'BHP, MPa'; +end +end +if strcmp(dataType, 'dPWF') % dpwf/dlnt = t*dpwf/dt +for i = 1 : n + if i == 1 +data(i) = Wellpara{i}{1,nw}.pwf; + elseif i == n +data(i) = Wellpara{i}{1,nw}.pwf; + else +data(i) = Wellpara{i}{1,nw}.pwf; + end +figureYlegend = 'Pressure derivative, MPa'; +end +end + +plot(t,data,'k^-') +hold off +% ylim([0,200]); +xlabel('Time, day'); +% ylabel('water cut'); +ylabel('Gas production rate, m^3/d'); +end \ No newline at end of file diff --git a/post processor/plot functions/data_standard.m b/post processor/plot functions/data_standard.m new file mode 100644 index 0000000..b0e4f3c --- /dev/null +++ b/post processor/plot functions/data_standard.m @@ -0,0 +1,343 @@ +function [ r, Times, OutputRs, Wellpara, trun ] = data_standard( ) +tic; +%% ģѡȡ +% 1--2014, Monifar 2--2018, steady, Rao 3--2018, transient, Rao +% 4-- PEDFM, Tene, Jiang, Younis +modelflag=1; +%ǰۺ +%% 벢 +% dx=[10*ones(1,100) ];nx=size(dx,2); +% dy=[10*ones(1,50) ];ny=size(dy,2); +% dz=[10*ones(1,4)];nz=size(dz,2); +% dx=[10*ones(1,50) ];nx=size(dx,2); +% dy=[10*ones(1,30) ];ny=size(dy,2); +% dz=[10*ones(1,3)];nz=size(dz,2); +dx=[10*ones(1,100) ];nx=size(dx,2); +dy=[10*ones(1,50) ];ny=size(dy,2); +dz=[10*ones(1,1)];nz=size(dz,2); +%% ѷ +% 뷽ʽ1ʾ룬2ʾ׼㡢ǡλǡ̧ +input_style=2; +if input_style==1 +% ======================================================== % +%ȶԾηоѷȡֵΧͷ죬ĺϵ +%һ5еľȷһѷ +%ΪԴ˱֤ΧȡֵΪɣ +%ʿȷΪIJΧٸݷ쳤ȥȷȡֵ + f=[ + 0,1200,0;10,-20,0;0,0,10;0,60,0;0,3,0; + 0,1200,0;10,20,0;0,0,10;0,15,0;0,3,0; + 150,1500,0;20,-10,0;0,0,10;0,20,0;0,3,0; + 550,1300,0;10,10,0;0,0,10;0,10,0;0,3,0; + 650,1400,0;10,-20,0;0,0,10;0,55,0;0,3,0; + 605,705,0;10,0,0;0,0,10;-20,20,0;0,3,0; + +% 385,485,2;5,0,0;0,0,1;-6,12,0;0,24,0; +% 385,365,2;5,0,0;0,0,1;-12,20,0;0,24,0; +% 385,245,2;5,0,0;0,0,1;-10,20,0;0,24,0; +% 385,925,2;5,0,0;0,0,1;-9,18,0;0,20,0; +% 385,805,2;5,0,0;0,0,1;-8,14,0;0,20,0; +% 385,685,2;5,0,0;0,0,1;-12,20,0;0,24,0; +% 385,565,2;5,0,0;0,0,1;-10,20,0;0,22,0; +% 385,445,2;5,0,0;0,0,1;-6,12,0;0,24,0; +% 955,1305,5;5,0,0;0,0,1;-5,4,0;0,15,0; +% 955,1225,5;5,0,0;0,0,1;-7,5,0;0,15,0; +% 955,1145,5;5,0,0;0,0,1;-9,6,0;0,15,0; +% 955,1065,5;5,0,0;0,0,1;-7,6,0;0,15,0; +% 955,985,5;5,0,0;0,0,1;-6,4,0;0,15,0; +% 955,755,5;5,0,0;0,0,1;-5,4,0;0,15,0; +% 955,675,5;5,0,0;0,0,1;-8,6,0;0,15,0; +% 955,595,5;5,0,0;0,0,1;-8,6,0;0,15,0; +% 955,515,5;5,0,0;0,0,1;-10,7,0;0,15,0; +% 955,435,5;5,0,0;0,0,1;-7,6,0;0,15,0; +% 955,355,5;5,0,0;0,0,1;-9,6,0;0,15,0; +% 1635,1245,5;5,0,0;0,0,1;-10,2,0;0,20,0; +% 1635,1165,5;5,0,0;0,0,1;-16,3,0;0,20,0; +% 1635,1085,5;5,0,0;0,0,1;-15,3,0;0,20,0; +% 1635,1005,5;5,0,0;0,0,1;-12,2,0;0,20,0; +% 1635,925,5;5,0,0;0,0,1;-10,2,0;0,20,0; +% 1635,695,5;5,0,0;0,0,1;-10,2,0;0,20,0; +% 1635,615,5;5,0,0;0,0,1;-12,2,0;0,20,0; + ]; +% Բ +% fellip=[320,210,10;10,2,0;0,0,2;0,0,8;0,0,5; +% 280,300,10;10,2,0;0,0,2;0,0,10;0,0,4;]; +% 300,205,10;10,0,0;0,0,2;0,0,10;0,0,5]; +fellip=[]; +else +% ==================Ӧ====================================== % +%̻ܿ˫ԳʵľηԲ +% ׼꣨1λǣ2ǣ3̧ǣ4쳤Բ᳤5ߣԲ᳤61Ǿη졢2Բ죨7 + input_content={ + [255,255,5],90,90,0,200,10,1; + [305,255,5],90,90,0,200,10,1; + [355,255,5],90,90,0,200,10,1; + [405,255,5],90,90,0,200,10,1; + [455,255,5],90,90,0,200,10,1; + [505,255,5],90,90,0,200,10,1; + [555,255,5],90,90,0,200,10,1; + [605,255,5],90,90,0,200,10,1; + [655,255,5],90,90,0,200,10,1; + [705,255,5],90,90,0,200,10,1; + [755,255,5],90,90,0,200,10,1; + }; +[f,fellip]=sort_fracture(input_content); +end + +% ==================ѷ====================================== % +m=size(f,1); +n=size(fellip,1); +nf=(m+n)/5;%ѷ +%% ز +% =====================ʿ====================================== % +% kx = 0.1*1e-3 * ones(nx*ny*nz, 1);%ɻ͸x +% ky =0.1*1e-3 * ones(nx*ny*nz, 1);%y +% kz = 0.1*1e-3 * ones(nx*ny*nz, 1);%y +pori = 0.3 * ones(nx*ny*nz, 1);%ɻ϶Ⱦ +prpor = 16;%ʿ϶Ȼ׼ѹ +cpor = 1.07e-4;%϶ѹϵ +NTG= 1 * ones(nx*ny*nz, 1); +% SRV +base_x=23:78; nx_SRV=length(base_x); +base_y=15:36; ny_SRV=length(base_y); +base_z=1:1;nz_SRV=length(base_z); +SRV=[]; +for k=1:nz_SRV + for j=1:ny_SRV + for i=1:nx_SRV + SRV=[SRV;(base_z(k)-1)*nx*ny+(base_y(j)-1)*nx+base_x(i)]; + end + end +end +% SRV͸ʸֵ +kx = 0.1*1e-3 * ones(nx*ny*nz, 1);%ɻ͸x +ky =0.1*1e-3 * ones(nx*ny*nz, 1);%y +kz = 0.1*1e-3 * ones(nx*ny*nz, 1);%y +% SRV͸ʸֵ +kx(SRV)=2*1e-3 * ones(length(SRV), 1); +ky(SRV)=2*1e-3 * ones(length(SRV), 1); +kz(SRV)=2*1e-3 * ones(length(SRV), 1); +% load ('NTG.mat'); +% NTG=sort_input(NTG,nx,ny,nz); +% =====================ѷ====================================== % +Kf = 20000*1e-3*ones(1,nf);%ѷ͸ +% Kf = [0*1e-3*ones(1,5) 10000*1e-3*ones(1,1);];%ѷ͸ +Wf =1e-2*ones(1,nf);%ѷ +Porf = 0.30*ones(1,nf);%ѷ϶ +prporf = 20;%ѷ϶Ȼ׼ѹ +cporf = 1.07e-4;%ѷ϶ѹϵ + +Rpt = 2;%flag +cf = 1; +ca = 1; +% co = 3.02e-3; +%% ʲ +% =======================ܶ================================= % +Dosi=820; %Dosiǵ²õܶȣλǧ/ÿ +Dwsi=1000; %Dwsiǵ²õˮܶ +% ====================ϵѹϵ================================= % +pb = 20.0;%ݵѹ +Bopb = 1.0;%ݵѹpbӦԭϵ +co = 3.02e-3;%ԭѹϵ +prw = 20.0;%زˮϵ׼ѹ +Bwi = 1.00001;%ԭʼزˮϵ +cw = 5e-4;%زˮѹϵ +prg = 25.0;%زˮϵ׼ѹ +% =======================ճ================================= % +visopb = 2;%ݵѹpbӦԭճ +cvo = 0;%ԭճѹ仯ϵ +vwi =0.6;%ԭʼزˮճ +cvw = 0;%زˮճѹ仯ϵ +% ==================ë====================================== % +% ==================ˮ====================================== % +RPOW=[ +0 0 0.8 0 +0.15 0 0.8 0 +0.45 0.04 0.4 0 +0.5212 0.08 0.227 0 +0.5425 0.103 0.184 0 +0.5638 0.125 0.156 0 +0.5851 0.145 0.125 0 +0.6064 0.174 0.094 0 +0.6276 0.207 0.063 0 +0.6489 0.247 0.046 0 +0.6701 0.292 0.031 0 +0.6914 0.335 0.021 0 +0.7127 0.378 0.011 0 +0.76 0.475 0.005 0 +0.85 0.552 0 0 +1 0.552 0 0 +]; +SW=RPOW(:,1);KRW=RPOW(:,2);KRO=RPOW(:,3);PCOW=RPOW(:,4); +% ==================ѷˮ====================================== % +% ѷУʾǼ򵥵Բֵ +if Rpt ~= 1%ʾѷ +PRF=[ +0 0 0.8 0 +0.15 0 0.8 0 +0.85 0.6 0 0 +1 0.6 0 0 +]; +SWF = PRF(:,1);KRWF = PRF(:,2);KROF = PRF(:,3);PCOWF=PRF(:,4); +end +% ==================ë====================================== % +ifpcow = 0;%˴ΪǷˮë0ԣ0 +%% ʲǰ +r = GridProp(modelflag, nx, ny, nz, dx, dy, dz, kx, ky, kz, f, fellip, Kf, Wf, pori, prpor, cpor, Porf, prporf, cporf, cf, ca,co, NTG); +%% Ҫ +os = OperatorRS(r.N, r.nex, r.nc); +%% ʲд +f = fluidPVT(Bopb, pb, co, Bwi, prw, cw, vwi, cvw, visopb, cvo, SW, KRO, KRW, PCOW, ifpcow, SWF, KROF, KRWF, PCOWF, r.rpt,Dosi,Dwsi); +%% ֵ Initial Condition Section +% =================ѹͶȳֵ======================================= % +%ѹֵҪͲ±ѹֵ +P = [20 * ones(r.nmc, 1); 20 * ones(r.nfc, 1)]; +% plow=25; % P =plow-1e-6*800*9.8*r.z; +Sw = [0.15 * ones(r.nmc, 1); 0.15 * ones(r.nfc, 1)]; +state0 = initialRS(P, Sw); +%% schedule +% +% Wellcpara: welltype(1) nperf(2) index(3) rw(4) protype(5) value(6) +% constraints(7) skin(8) welltype2(9) +% welltype = 1 prod, welltype = 2 inj +% protype = 1 const flowrate, protype = 2 const pwf +% welltype2=1 ֱ welltype2=2 ˮƽxwelltype2=3 ˮƽy welltype2=4 ѹˮƽ +%ֱˮƽѹˮƽֿ +%ֱˮƽ־͵Ĵǽ׶ΰڻ +%άĴ㣬񲻺ֱӸֱбˮƽȡeclipseһµķʽڻλ +%ÿ׵px,py,pzȷֱʾ׵xyţzϵţԴֱϽĻ +well1={ +% 2, 3, [10 20 1;10 20 2;10 20 3], 0.178/2, 2, 35 , 35, 0, 1; +% 2, 3, [67 20 1;67 20 2;67 20 3], 0.178/2, 2, 35 , 35, 0, 1; +% 2, 3, [130 20 1;130 20 2;130 20 3], 0.178/2, 2, 35 , 35, 0, 1; +% 2, 3, [196 20 1;196 20 2;196 20 3], 0.178/2, 2, 35 , 35, 0, 1; +% 2, 3, [10 148 1;10 148 2;10 148 3], 0.178/2, 2, 35 , 35, 0, 1; +% 2, 3, [67 148 1;67 148 2;67 148 3], 0.178/2, 2, 35 , 35, 0, 1; +% 2, 3, [130 148 1;130 148 2;130 148 3], 0.178/2, 2, 35 , 35, 0, 1; +% 2, 3, [196 148 1;196 148 2;196 148 3], 0.178/2, 2, 35 , 35, 0, 1; + }; +%Ҫҵ׶ξڵĻ +n1=size(well1,1); +for i=1:n1 + perf=well1{i,3}; + nperf=well1{i,2}; + perf(:,3)=(r.nz+1)*ones(nperf,1)-perf(:,3); + A=repmat([0 1 1],nperf,1); + B=(perf-A)*[1;r.nx;r.nx*r.ny]; + B=B'; %תΪ + well1{i,3}=B; +end +% %ѹˮƽĴ׶ѷ쵥ԪϣԸ׵ڵ꣬ȻȥѰҸõڵѷ쵥Ԫ +welloc1=[ + [255,255,5]; + [305,255,5]; + [355,255,5]; + [405,255,5]; + [455,255,5]; + [505,255,5]; + [555,255,5]; + [605,255,5]; + [655,255,5]; + [705,255,5]; + [755,255,5]; +% [205,255,15]; +% [405,255,21]; +% [605,255,21]; +% [805,255,31]; +% 385,805,15; +% 385,685,15; +% 385,565,15; +% 385,445,15; + ]; +% welloc2=[955,1305,15; +% 955,1225,15; +% 955,1145,15; +% 955,1065,15; +% 955,985,15; +% 955,755,15; +% 955,675,15; +% 955,595,15; +% 955,515,15; +% 955,435,15; +% 955,355,15;]; +% welloc3=[1635,1245,15; +% 1635,1165,15; +% 1635,1085,15; +% 1635,1005,15; +% 1635,925,15; +% 1635,695,15; +% 1635,615,15; +% ]; +perfnum1 = findWelloc(r, welloc1);%Wellc0֮ +% perfnum2 = findWelloc(r, welloc2); +% perfnum3 = findWelloc(r, welloc3); +well2={ + 1, length(perfnum1), perfnum1, 0.178/2, 2,10, 10, 0,4; +% 1, length(perfnum2), perfnum2, 0.178/2, 2,8, 8, 0,4; +% 1, length(perfnum3), perfnum3, 0.178/2, 2,8, 8, 0,4; + }; +% well2={}; +% well2={1, length(perfnum), perfnum, 0.1, 2,10, 10, 0,4; +% }; +% 2, 1, [ 5030 ], 0.3/0.318, 1,0.05, 30, 0,4 +%ྮϵһ +nwell1=size(well1,1); +nwell2=size(well2,1); +nwell=nwell1+nwell2; +Wellc0=cell(nwell,9); +if nwell1==0 + Wellc0=well2; +elseif nwell2==0 + Wellc0=well1; +else +for i=1:nwell1 + for j=1:9 + Wellc0{i,j}=well1{i,j}; + end +end +for i=1:nwell2 + for j=1:9 + Wellc0{i+nwell1,j}=well2{i,j}; + end +end +end + +yitap = 5; % 50-500psi +yitas = 0.04; % 0.05-0.5 +omega = 0.5; % 0-1 +Nmax = 50; +epsave = 1e-6; +epsmax = 1e-6; +dtmin = 0.001; +dtmax =20; +tend = 500; +nwel = size(Wellc0, 1); +WelChg = zeros(nwel, 1);%ʾ +Wellc = calcTrans(r, Wellc0); +w.yitap = yitap; +w.yitas = yitas; +w.omega = omega; +w.Nmax = Nmax; +w.epsave = epsave; +w.epsmax = epsmax; +w.epsave = epsave; +w.epsmax = epsmax; +w.dtmin = dtmin; +w.dtmax = dtmax; +w.tend = tend; +w.WelChg = WelChg; +w.Wellc = Wellc; + +%% +if modelflag==1 || modelflag==4 + [Times, OutputRs, Wellpara, trun] = mainRS_MB_2014(r, f, os, w, state0); +else +[Times, OutputRs, Wellpara, trun] = mainRS_MB_modified(r, f, os, w, state0); +end +% [Times, OutputRs, Wellpara, trun] = mainRS_MB_modified(r, f, os, w, state0); +run_time=toc; +trun.run_time=run_time; + end + + + diff --git a/post processor/plot functions/plotDis.m b/post processor/plot functions/plotDis.m new file mode 100644 index 0000000..c492aea --- /dev/null +++ b/post processor/plot functions/plotDis.m @@ -0,0 +1,144 @@ +function plotDis(i, r,OutputRs, type) +%Ϊͼǰ +figure('color','w') +[ downgrid, frontgrid ,leftgrid, rightgrid, backgrid, upgrid ] = preplot_dis( r ); +coordinate=r.coordinates; +nodes=r.nodes; +% nmc = size(nodes,1);% +% % nel = size(nodes,2);%ÿĵ +% order=[1,2,4,3,1,5,6,8,7,3,4,8,6,2,1];%fillͼ +% nel=size(order,2); +if type == 1 + v = OutputRs{i}.p; +elseif type == 2 + v = 1-OutputRs{i}.sw;%ͱͶ +elseif type == 3 + v = OutputRs{i}.sg;%ͱͶ +else + v = OutputRs{i}.sw;%ͱͶ +end +% +order=[1,2,4,3,1]; +nel=size(order,2); +nmc=size(downgrid,2); +dis = zeros(nel, nmc); +x = zeros(nel, nmc); +y = zeros(nel, nmc); +z = zeros(nel, nmc); +for i = 1 : nmc + for j = 1 : nel + x(j, i) = coordinate(nodes(downgrid(i),order(j)), 1); + y(j, i) = coordinate(nodes(downgrid(i),order(j)), 2); + z(j, i) = coordinate(nodes(downgrid(i),order(j)), 3)-max(coordinate(:,3))-2000; + dis(j, i) = v(downgrid(i)); + end +end +fill3(x,y,z,dis,'edgeColor','interp'); +hold on + +% +order=[1,5,7,3,1]; +nel=size(order,2); +nmc=size(leftgrid,2); +dis = zeros(nel, nmc); +x = zeros(nel, nmc); +y = zeros(nel, nmc); +z = zeros(nel, nmc); +for i = 1 : nmc + for j = 1 : nel + x(j, i) = coordinate(nodes(leftgrid(i),order(j)), 1); + y(j, i) = coordinate(nodes(leftgrid(i),order(j)), 2); + z(j, i) = coordinate(nodes(leftgrid(i),order(j)), 3)-max(coordinate(:,3))-2000; + dis(j, i) = v(leftgrid(i)); + end +end +fill3(x,y,z,dis,'edgeColor','interp'); + +% +order=[2,4,8,6,2]; +nel=size(order,2); +nmc=size(rightgrid,2); +dis = zeros(nel, nmc); +x = zeros(nel, nmc); +y = zeros(nel, nmc); +z = zeros(nel, nmc); +for i = 1 : nmc + for j = 1 : nel + x(j, i) = coordinate(nodes(rightgrid(i),order(j)), 1); + y(j, i) = coordinate(nodes(rightgrid(i),order(j)), 2); + z(j, i) = coordinate(nodes(rightgrid(i),order(j)), 3)-max(coordinate(:,3))-2000; + dis(j, i) = v(rightgrid(i)); + end +end +fill3(x,y,z,dis,'edgeColor','interp'); + +%ǰ +order=[1,2,6,5,1]; +nel=size(order,2); +nmc=size(frontgrid,2); +dis = zeros(nel, nmc); +x = zeros(nel, nmc); +y = zeros(nel, nmc); +z = zeros(nel, nmc); +for i = 1 : nmc + for j = 1 : nel + x(j, i) = coordinate(nodes(frontgrid(i),order(j)), 1); + y(j, i) = coordinate(nodes(frontgrid(i),order(j)), 2); + z(j, i) = coordinate(nodes(frontgrid(i),order(j)), 3)-max(coordinate(:,3))-2000; + dis(j, i) = v(frontgrid(i)); + end +end +fill3(x,y,z,dis,'edgeColor','interp'); + +% +order=[3,4,8,7,3]; +nel=size(order,2); +nmc=size(backgrid,2); +dis = zeros(nel, nmc); +x = zeros(nel, nmc); +y = zeros(nel, nmc); +z = zeros(nel, nmc); +for i = 1 : nmc + for j = 1 : nel + x(j, i) = coordinate(nodes(backgrid(i),order(j)), 1); + y(j, i) = coordinate(nodes(backgrid(i),order(j)), 2); + z(j, i) = coordinate(nodes(backgrid(i),order(j)), 3)-max(coordinate(:,3))-2000; + dis(j, i) = v(backgrid(i)); + end +end +fill3(x,y,z,dis,'edgeColor','interp'); + +% +order=[5,6,8,7,5]; +nel=size(order,2); +nmc=size(upgrid,2); +dis = zeros(nel, nmc); +x = zeros(nel, nmc); +y = zeros(nel, nmc); +z = zeros(nel, nmc); +for i = 1 : nmc + for j = 1 : nel + x(j, i) = coordinate(nodes(upgrid(i),order(j)), 1); + y(j, i) = coordinate(nodes(upgrid(i),order(j)), 2); + z(j, i) = coordinate(nodes(upgrid(i),order(j)), 3)-max(coordinate(:,3))-2000; + dis(j, i) = v(upgrid(i)); + end +end +fill3(x,y,z,dis,'edgeColor','interp'); +set(gca,'FontName','Times New Roman','FontSize',10,'FontWeight','bold'); +xlabel('x, m'); +ylabel('y, m'); +zlabel('z, m'); +view(3); +% Ͳؿ +% plotframe( r ); +alpha(1) +% caxis([0.2,0.8]); +caxis([10,13]); +% caxis([12,22]); +colormap jet +colorbar +% zlim([-2020,-2000]); +% axis equal +axis tight + diff --git a/post processor/plot functions/plotDis_3D_to_2D.m b/post processor/plot functions/plotDis_3D_to_2D.m new file mode 100644 index 0000000..79331a4 --- /dev/null +++ b/post processor/plot functions/plotDis_3D_to_2D.m @@ -0,0 +1,46 @@ +function plotDis_3D_to_2D(i, r, OutputRs, type) +coordinate=r.coordinates; +nodes=r.nodes; +nmc = size(nodes,1); +% nel = size(nodes,2); +nel = 4; +if type == 1 +% v = r.kx; + v = OutputRs{i}.p; +else + v = 1-OutputRs{i}.sw;%Ͷ +end +dis = zeros(nel, nmc); +x = zeros(nel, nmc); +y = zeros(nel, nmc); +for i = 1 :nmc + for j = 1 :nel + x(j, i) = coordinate(nodes(i,j), 1); + y(j, i) = coordinate(nodes(i,j), 2); + if j == 3 + x(j, i) = coordinate(nodes(i,4), 1); + y(j, i) = coordinate(nodes(i,4), 2); + end + if j == 4 + x(j, i) = coordinate(nodes(i,3), 1); + y(j, i) = coordinate(nodes(i,3), 2); + end + dis(j, i) = v(i); + end +end +% fill(x,y,dis,'EdgeAlpha',1); +figure('color','w'); +fill(x,y,dis,'EdgeColor','interp'); +xlabel('x, m','FontSize',14); +ylabel('y, m','FontSize',14); +ax = gca; +ax.FontSize = 14; +axis equal; +axis tight +% xlim([0,60]); +% ylim([0,60]); +% clim([10,15]); +colorbar +colormap jet +% fill(x,y,dis); +% axis off diff --git a/post processor/plot functions/plotDis_ECLIPSE.m b/post processor/plot functions/plotDis_ECLIPSE.m new file mode 100644 index 0000000..8e6d7a5 --- /dev/null +++ b/post processor/plot functions/plotDis_ECLIPSE.m @@ -0,0 +1,129 @@ +function plotDis_ECLIPSE( r,ECLIPSE_data) +%Ϊͼǰ +[ downgrid, frontgrid ,leftgrid, rightgrid, backgrid, upgrid ] = preplot_dis( r ); + +coordinate=r.coordinates; +nodes=r.nodes; +% nmc = size(nodes,1);% +% % nel = size(nodes,2);%ÿĵ +% order=[1,2,4,3,1,5,6,8,7,3,4,8,6,2,1];%fillͼ +% nel=size(order,2); + v =reshape( ECLIPSE_data',[],1);%ͱͶ + +% +order=[1,2,4,3,1]; +nel=size(order,2); +nmc=size(downgrid,2); +dis = zeros(nel, nmc); +x = zeros(nel, nmc); +y = zeros(nel, nmc); +z = zeros(nel, nmc); +for i = 1 : nmc + for j = 1 : nel + x(j, i) = coordinate(nodes(downgrid(i),order(j)), 1); + y(j, i) = coordinate(nodes(downgrid(i),order(j)), 2); + z(j, i) = coordinate(nodes(downgrid(i),order(j)), 3); + dis(j, i) = v(downgrid(i)); + end +end +fill3(x,y,z,dis,'edgeColor','interp'); +hold on + +% +order=[1,5,7,3,1]; +nel=size(order,2); +nmc=size(leftgrid,2); +dis = zeros(nel, nmc); +x = zeros(nel, nmc); +y = zeros(nel, nmc); +z = zeros(nel, nmc); +for i = 1 : nmc + for j = 1 : nel + x(j, i) = coordinate(nodes(leftgrid(i),order(j)), 1); + y(j, i) = coordinate(nodes(leftgrid(i),order(j)), 2); + z(j, i) = coordinate(nodes(leftgrid(i),order(j)), 3); + dis(j, i) = v(leftgrid(i)); + end +end +fill3(x,y,z,dis,'edgeColor','interp'); + +% +order=[2,4,8,6,2]; +nel=size(order,2); +nmc=size(rightgrid,2); +dis = zeros(nel, nmc); +x = zeros(nel, nmc); +y = zeros(nel, nmc); +z = zeros(nel, nmc); +for i = 1 : nmc + for j = 1 : nel + x(j, i) = coordinate(nodes(rightgrid(i),order(j)), 1); + y(j, i) = coordinate(nodes(rightgrid(i),order(j)), 2); + z(j, i) = coordinate(nodes(rightgrid(i),order(j)), 3); + dis(j, i) = v(rightgrid(i)); + end +end +fill3(x,y,z,dis,'edgeColor','interp'); + +%ǰ +order=[1,2,6,5,1]; +nel=size(order,2); +nmc=size(frontgrid,2); +dis = zeros(nel, nmc); +x = zeros(nel, nmc); +y = zeros(nel, nmc); +z = zeros(nel, nmc); +for i = 1 : nmc + for j = 1 : nel + x(j, i) = coordinate(nodes(frontgrid(i),order(j)), 1); + y(j, i) = coordinate(nodes(frontgrid(i),order(j)), 2); + z(j, i) = coordinate(nodes(frontgrid(i),order(j)), 3); + dis(j, i) = v(frontgrid(i)); + end +end +fill3(x,y,z,dis,'edgeColor','interp'); + +% +order=[3,4,8,7,3]; +nel=size(order,2); +nmc=size(backgrid,2); +dis = zeros(nel, nmc); +x = zeros(nel, nmc); +y = zeros(nel, nmc); +z = zeros(nel, nmc); +for i = 1 : nmc + for j = 1 : nel + x(j, i) = coordinate(nodes(backgrid(i),order(j)), 1); + y(j, i) = coordinate(nodes(backgrid(i),order(j)), 2); + z(j, i) = coordinate(nodes(backgrid(i),order(j)), 3); + dis(j, i) = v(backgrid(i)); + end +end +fill3(x,y,z,dis,'edgeColor','interp'); + +% +order=[5,6,8,7,5]; +nel=size(order,2); +nmc=size(upgrid,2); +dis = zeros(nel, nmc); +x = zeros(nel, nmc); +y = zeros(nel, nmc); +z = zeros(nel, nmc); +for i = 1 : nmc + for j = 1 : nel + x(j, i) = coordinate(nodes(upgrid(i),order(j)), 1); + y(j, i) = coordinate(nodes(upgrid(i),order(j)), 2); + z(j, i) = coordinate(nodes(upgrid(i),order(j)), 3); + dis(j, i) = v(upgrid(i)); + end +end +fill3(x,y,z,dis,'edgeColor','interp'); + +% Ͳؿ +% plotframe( r ); + + + +% axis equal +axis tight + diff --git a/post processor/plot functions/plotDislayer.asv b/post processor/plot functions/plotDislayer.asv new file mode 100644 index 0000000..ae3bc32 --- /dev/null +++ b/post processor/plot functions/plotDislayer.asv @@ -0,0 +1,147 @@ +function plotDislayer(i, k ,r,OutputRs, type) +%i:时间点，k是从上至下数的层位，type: 1是压力场 +figure('color','w') +[ downgrid, frontgrid ,leftgrid, rightgrid, backgrid, upgrid ] = preplot_dislayer( r,k ); +coordinate=r.coordinates; +nodes=r.nodes; +nx=r.nx; +ny=r.ny; +nz=r.nz; +% order=[1,2,4,3,1,5,6,8,7,3,4,8,6,2,1];%用以fill函数作图 +% % nmc = size(nodes,1);%基质网格数量 +% nmc = nx*ny; +% % nel = size(nodes,2);%每个基质网格所包含的点数量 +% nel=size(order,2); +if type == 1 + v = OutputRs{i}.p; +% v = log(r.kx); +elseif type == 2 +% v = 1-OutputRs{i}.sw -OutputRs{i}.sg;%含油饱和度 + v = 1-OutputRs{i}.sw;%含油饱和度 +elseif type == 3 + v = OutputRs{i}.sg;%含油饱和度 +else + v = OutputRs{i}.sw;%含油饱和度 +end +% 底面 +order=[1,2,4,3,1]; +nel=size(order,2); +nmc=size(downgrid,2); +dis = zeros(nel, nmc); +x = zeros(nel, nmc); +y = zeros(nel, nmc); +z = zeros(nel, nmc); +for i = 1 : nmc + for j = 1 : nel + x(j, i) = coordinate(nodes(downgrid(i),order(j)), 1); + y(j, i) = coordinate(nodes(downgrid(i),order(j)), 2); + z(j, i) = coordinate(nodes(downgrid(i),order(j)), 3); + dis(j, i) = v(downgrid(i)); + end +end +fill3(x,y,z,dis,'edgeColor','interp'); +hold on + +%左面 +order=[1,5,7,3,1]; +nel=size(order,2); +nmc=size(leftgrid,2); +dis = zeros(nel, nmc); +x = zeros(nel, nmc); +y = zeros(nel, nmc); +z = zeros(nel, nmc); +for i = 1 : nmc + for j = 1 : nel + x(j, i) = coordinate(nodes(leftgrid(i),order(j)), 1); + y(j, i) = coordinate(nodes(leftgrid(i),order(j)), 2); + z(j, i) = coordinate(nodes(leftgrid(i),order(j)), 3); + dis(j, i) = v(leftgrid(i)); + end +end +fill3(x,y,z,dis,'edgeColor','interp'); + +%右面 +order=[2,4,8,6,2]; +nel=size(order,2); +nmc=size(rightgrid,2); +dis = zeros(nel, nmc); +x = zeros(nel, nmc); +y = zeros(nel, nmc); +z = zeros(nel, nmc); +for i = 1 : nmc + for j = 1 : nel + x(j, i) = coordinate(nodes(rightgrid(i),order(j)), 1); + y(j, i) = coordinate(nodes(rightgrid(i),order(j)), 2); + z(j, i) = coordinate(nodes(rightgrid(i),order(j)), 3); + dis(j, i) = v(rightgrid(i)); + end +end +fill3(x,y,z,dis,'edgeColor','interp'); + +%前面 +order=[1,2,6,5,1]; +nel=size(order,2); +nmc=size(frontgrid,2); +dis = zeros(nel, nmc); +x = zeros(nel, nmc); +y = zeros(nel, nmc); +z = zeros(nel, nmc); +for i = 1 : nmc + for j = 1 : nel + x(j, i) = coordinate(nodes(frontgrid(i),order(j)), 1); + y(j, i) = coordinate(nodes(frontgrid(i),order(j)), 2); + z(j, i) = coordinate(nodes(frontgrid(i),order(j)), 3); + dis(j, i) = v(frontgrid(i)); + end +end +fill3(x,y,z,dis,'edgeColor','interp'); + +%后面 +order=[3,4,8,7,3]; +nel=size(order,2); +nmc=size(backgrid,2); +dis = zeros(nel, nmc); +x = zeros(nel, nmc); +y = zeros(nel, nmc); +z = zeros(nel, nmc); +for i = 1 : nmc + for j = 1 : nel + x(j, i) = coordinate(nodes(backgrid(i),order(j)), 1); + y(j, i) = coordinate(nodes(backgrid(i),order(j)), 2); + z(j, i) = coordinate(nodes(backgrid(i),order(j)), 3); + dis(j, i) = v(backgrid(i)); + end +end +fill3(x,y,z,dis,'edgeColor','interp'); + +%上面 +order=[5,6,8,7,5]; +nel=size(order,2); +nmc=size(upgrid,2); +dis = zeros(nel, nmc); +x = zeros(nel, nmc); +y = zeros(nel, nmc); +z = zeros(nel, nmc); +for i = 1 : nmc + for j = 1 : nel + x(j, i) = coordinate(nodes(upgrid(i),order(j)), 1); + y(j, i) = coordinate(nodes(upgrid(i),order(j)), 2); + z(j, i) = coordinate(nodes(upgrid(i),order(j)), 3); + dis(j, i) = v(upgrid(i)); + end +end +fill3(x,y,z,dis,'edgeColor','interp'); +set(gca,'FontName','Times New Roman','FontSize',10,'FontWeight','bold'); +xlabel('x, m'); +ylabel('y, m'); +zlabel('z, m'); +view(2); +% fill(x,y,dis); +axis equal +% axis off +axis tight +colormap jet +% caxis([12,22]); +colorbar +caxis([0.2,0.8]); + diff --git a/post processor/plot functions/plotDislayer.m b/post processor/plot functions/plotDislayer.m new file mode 100644 index 0000000..f5d736c --- /dev/null +++ b/post processor/plot functions/plotDislayer.m @@ -0,0 +1,153 @@ +function plotDislayer(i, k ,r,OutputRs, type) +%i:ʱ㣬kǴIJλtype: 1ѹ +figure('color','w') +[ downgrid, frontgrid ,leftgrid, rightgrid, backgrid, upgrid ] = preplot_dislayer( r,k ); +coordinate=r.coordinates; +nodes=r.nodes; +nx=r.nx; +ny=r.ny; +nz=r.nz; +% order=[1,2,4,3,1,5,6,8,7,3,4,8,6,2,1];%fillͼ +% % nmc = size(nodes,1);% +% nmc = nx*ny; +% % nel = size(nodes,2);%ÿĵ +% nel=size(order,2); +if type == 1 + v = OutputRs{i}.p; +% v = log(r.kx); +elseif type == 2 +% v = 1-OutputRs{i}.sw -OutputRs{i}.sg;%ͱͶ + v = 1-OutputRs{i}.sw;%ͱͶ +elseif type == 3 + v = OutputRs{i}.sg;%ͱͶ +else + v = OutputRs{i}.sw;%ͱͶ +end +% +order=[1,2,4,3,1]; +nel=size(order,2); +nmc=size(downgrid,2); +dis = zeros(nel, nmc); +x = zeros(nel, nmc); +y = zeros(nel, nmc); +z = zeros(nel, nmc); +for i = 1 : nmc + for j = 1 : nel + x(j, i) = coordinate(nodes(downgrid(i),order(j)), 1); + y(j, i) = coordinate(nodes(downgrid(i),order(j)), 2); + z(j, i) = coordinate(nodes(downgrid(i),order(j)), 3); + dis(j, i) = v(downgrid(i)); + end +end +fill3(x,y,z,dis,'edgeColor','interp'); +hold on + +% +order=[1,5,7,3,1]; +nel=size(order,2); +nmc=size(leftgrid,2); +dis = zeros(nel, nmc); +x = zeros(nel, nmc); +y = zeros(nel, nmc); +z = zeros(nel, nmc); +for i = 1 : nmc + for j = 1 : nel + x(j, i) = coordinate(nodes(leftgrid(i),order(j)), 1); + y(j, i) = coordinate(nodes(leftgrid(i),order(j)), 2); + z(j, i) = coordinate(nodes(leftgrid(i),order(j)), 3); + dis(j, i) = v(leftgrid(i)); + end +end +fill3(x,y,z,dis,'edgeColor','interp'); + +% +order=[2,4,8,6,2]; +nel=size(order,2); +nmc=size(rightgrid,2); +dis = zeros(nel, nmc); +x = zeros(nel, nmc); +y = zeros(nel, nmc); +z = zeros(nel, nmc); +for i = 1 : nmc + for j = 1 : nel + x(j, i) = coordinate(nodes(rightgrid(i),order(j)), 1); + y(j, i) = coordinate(nodes(rightgrid(i),order(j)), 2); + z(j, i) = coordinate(nodes(rightgrid(i),order(j)), 3); + dis(j, i) = v(rightgrid(i)); + end +end +fill3(x,y,z,dis,'edgeColor','interp'); + +%ǰ +order=[1,2,6,5,1]; +nel=size(order,2); +nmc=size(frontgrid,2); +dis = zeros(nel, nmc); +x = zeros(nel, nmc); +y = zeros(nel, nmc); +z = zeros(nel, nmc); +for i = 1 : nmc + for j = 1 : nel + x(j, i) = coordinate(nodes(frontgrid(i),order(j)), 1); + y(j, i) = coordinate(nodes(frontgrid(i),order(j)), 2); + z(j, i) = coordinate(nodes(frontgrid(i),order(j)), 3); + dis(j, i) = v(frontgrid(i)); + end +end +fill3(x,y,z,dis,'edgeColor','interp'); + +% +order=[3,4,8,7,3]; +nel=size(order,2); +nmc=size(backgrid,2); +dis = zeros(nel, nmc); +x = zeros(nel, nmc); +y = zeros(nel, nmc); +z = zeros(nel, nmc); +for i = 1 : nmc + for j = 1 : nel + x(j, i) = coordinate(nodes(backgrid(i),order(j)), 1); + y(j, i) = coordinate(nodes(backgrid(i),order(j)), 2); + z(j, i) = coordinate(nodes(backgrid(i),order(j)), 3); + dis(j, i) = v(backgrid(i)); + end +end +fill3(x,y,z,dis,'edgeColor','interp'); + +% +order=[5,6,8,7,5]; +nel=size(order,2); +nmc=size(upgrid,2); +dis = zeros(nel, nmc); +x = zeros(nel, nmc); +y = zeros(nel, nmc); +z = zeros(nel, nmc); +for i = 1 : nmc + for j = 1 : nel + x(j, i) = coordinate(nodes(upgrid(i),order(j)), 1); + y(j, i) = coordinate(nodes(upgrid(i),order(j)), 2); + z(j, i) = coordinate(nodes(upgrid(i),order(j)), 3); + dis(j, i) = v(upgrid(i)); + end +end +fill3(x,y,z,dis,'edgeColor','interp'); +set(gca,'FontName','Times New Roman','FontSize',10,'FontWeight','bold'); +xlabel('x, m'); +ylabel('y, m'); +zlabel('z, m'); +view(2); +% fill(x,y,dis); +axis equal +% axis off +axis tight +colormap jet +if type ==1 + caxis([5,22]); +else + caxis([0.2,0.8]); +end +% caxis([12,22]); +% caxis([10,13]); +colorbar +% caxis([0.2,0.8]); + diff --git a/post processor/plot functions/plotDislayer_ECLIPSE.m b/post processor/plot functions/plotDislayer_ECLIPSE.m new file mode 100644 index 0000000..076c15d --- /dev/null +++ b/post processor/plot functions/plotDislayer_ECLIPSE.m @@ -0,0 +1,131 @@ +function plotDislayer_ECLIPSE( k ,r,ECLIPSE_data) +%i:ʱ㣬kǴIJλtype: 1ѹ +[ downgrid, frontgrid ,leftgrid, rightgrid, backgrid, upgrid ] = preplot_dislayer( r,k ); +coordinate=r.coordinates; +nodes=r.nodes; +nx=r.nx; +ny=r.ny; +nz=r.nz; +% order=[1,2,4,3,1,5,6,8,7,3,4,8,6,2,1];%fillͼ +% % nmc = size(nodes,1);% +% nmc = nx*ny; +% % nel = size(nodes,2);%ÿĵ +% nel=size(order,2); +v =reshape( ECLIPSE_data',[],1);%ͱͶ +% +order=[1,2,4,3,1]; +nel=size(order,2); +nmc=size(downgrid,2); +dis = zeros(nel, nmc); +x = zeros(nel, nmc); +y = zeros(nel, nmc); +z = zeros(nel, nmc); +for i = 1 : nmc + for j = 1 : nel + x(j, i) = coordinate(nodes(downgrid(i),order(j)), 1); + y(j, i) = coordinate(nodes(downgrid(i),order(j)), 2); + z(j, i) = coordinate(nodes(downgrid(i),order(j)), 3); + dis(j, i) = v(downgrid(i)); + end +end +fill3(x,y,z,dis,'edgeColor','interp'); +hold on + +% +order=[1,5,7,3,1]; +nel=size(order,2); +nmc=size(leftgrid,2); +dis = zeros(nel, nmc); +x = zeros(nel, nmc); +y = zeros(nel, nmc); +z = zeros(nel, nmc); +for i = 1 : nmc + for j = 1 : nel + x(j, i) = coordinate(nodes(leftgrid(i),order(j)), 1); + y(j, i) = coordinate(nodes(leftgrid(i),order(j)), 2); + z(j, i) = coordinate(nodes(leftgrid(i),order(j)), 3); + dis(j, i) = v(leftgrid(i)); + end +end +fill3(x,y,z,dis,'edgeColor','interp'); + +% +order=[2,4,8,6,2]; +nel=size(order,2); +nmc=size(rightgrid,2); +dis = zeros(nel, nmc); +x = zeros(nel, nmc); +y = zeros(nel, nmc); +z = zeros(nel, nmc); +for i = 1 : nmc + for j = 1 : nel + x(j, i) = coordinate(nodes(rightgrid(i),order(j)), 1); + y(j, i) = coordinate(nodes(rightgrid(i),order(j)), 2); + z(j, i) = coordinate(nodes(rightgrid(i),order(j)), 3); + dis(j, i) = v(rightgrid(i)); + end +end +fill3(x,y,z,dis,'edgeColor','interp'); + +%ǰ +order=[1,2,6,5,1]; +nel=size(order,2); +nmc=size(frontgrid,2); +dis = zeros(nel, nmc); +x = zeros(nel, nmc); +y = zeros(nel, nmc); +z = zeros(nel, nmc); +for i = 1 : nmc + for j = 1 : nel + x(j, i) = coordinate(nodes(frontgrid(i),order(j)), 1); + y(j, i) = coordinate(nodes(frontgrid(i),order(j)), 2); + z(j, i) = coordinate(nodes(frontgrid(i),order(j)), 3); + dis(j, i) = v(frontgrid(i)); + end +end +fill3(x,y,z,dis,'edgeColor','interp'); + +% +order=[3,4,8,7,3]; +nel=size(order,2); +nmc=size(backgrid,2); +dis = zeros(nel, nmc); +x = zeros(nel, nmc); +y = zeros(nel, nmc); +z = zeros(nel, nmc); +for i = 1 : nmc + for j = 1 : nel + x(j, i) = coordinate(nodes(backgrid(i),order(j)), 1); + y(j, i) = coordinate(nodes(backgrid(i),order(j)), 2); + z(j, i) = coordinate(nodes(backgrid(i),order(j)), 3); + dis(j, i) = v(backgrid(i)); + end +end +fill3(x,y,z,dis,'edgeColor','interp'); + +% +order=[5,6,8,7,5]; +nel=size(order,2); +nmc=size(upgrid,2); +dis = zeros(nel, nmc); +x = zeros(nel, nmc); +y = zeros(nel, nmc); +z = zeros(nel, nmc); +for i = 1 : nmc + for j = 1 : nel + x(j, i) = coordinate(nodes(upgrid(i),order(j)), 1); + y(j, i) = coordinate(nodes(upgrid(i),order(j)), 2); + z(j, i) = coordinate(nodes(upgrid(i),order(j)), 3); + dis(j, i) = v(upgrid(i)); + end +end +fill3(x,y,z,dis,'edgeColor','interp'); +set(gca,'FontName','Times New Roman','FontSize',10,'FontWeight','bold'); +xlabel('X, m'); +ylabel('Y, m'); +zlabel('Z, m'); +view(2); +% fill(x,y,dis); +axis equal +% axis off +axis tight diff --git a/post processor/plot functions/plot_layer.asv b/post processor/plot functions/plot_layer.asv new file mode 100644 index 0000000..33bf8c4 --- /dev/null +++ b/post processor/plot functions/plot_layer.asv @@ -0,0 +1,48 @@ +function plot_layer(i, k, r, OutputRs, type) +coordinate=r.coordinates; +nodes=r.nodes; +nz=r.nz; +nx=r.nx +nmc = size(nodes,1); +% nel = size(nodes,2); +nel = 4; +if type == 1 +% v = r.kx; + v = OutputRs{i}.p; +else + v = 1-OutputRs{i}.sw;%含气饱和度 +end +dis = zeros(nel, nmc); +x = zeros(nel, nmc); +y = zeros(nel, nmc); +for i = 1 :nmc + for j = 1 :nel + x(j, i) = coordinate(nodes(i,j), 1); + y(j, i) = coordinate(nodes(i,j), 2); + if j == 3 + x(j, i) = coordinate(nodes(i,4), 1); + y(j, i) = coordinate(nodes(i,4), 2); + end + if j == 4 + x(j, i) = coordinate(nodes(i,3), 1); + y(j, i) = coordinate(nodes(i,3), 2); + end + dis(j, i) = v(i); + end +end +% fill(x,y,dis,'EdgeAlpha',1); +figure('color','w'); +fill(x,y,dis,'EdgeColor','interp'); +xlabel('x, m','FontSize',14); +ylabel('y, m','FontSize',14); +ax = gca; +ax.FontSize = 14; +axis equal; +axis tight +% xlim([0,60]); +% ylim([0,60]); +% clim([10,15]); +colorbar +colormap jet +% fill(x,y,dis); +% axis off diff --git a/post processor/plot functions/plot_layer.m b/post processor/plot functions/plot_layer.m new file mode 100644 index 0000000..f91a485 --- /dev/null +++ b/post processor/plot functions/plot_layer.m @@ -0,0 +1,49 @@ +function plot_layer(i, k, r, OutputRs, type) +coordinate=r.coordinates; +nodes=r.nodes; +nz=r.nz; +nx=r.nx; +ny=r.ny; +nmc = size(nodes,1); +% nel = size(nodes,2); +nel = 4; +if type == 1 +% v = r.kx; + v = OutputRs{i}.p; +else + v = 1-OutputRs{i}.sw;%Ͷ +end +dis = zeros(nel, nmc); +x = zeros(nel, nmc); +y = zeros(nel, nmc); +for i = 1 :nmc + for j = 1 :nel + x(j, i) = coordinate(nodes(i,j), 1); + y(j, i) = coordinate(nodes(i,j), 2); + if j == 3 + x(j, i) = coordinate(nodes(i,4), 1); + y(j, i) = coordinate(nodes(i,4), 2); + end + if j == 4 + x(j, i) = coordinate(nodes(i,3), 1); + y(j, i) = coordinate(nodes(i,3), 2); + end + dis(j, i) = v(i+(nz-k)*nx*ny); + end +end +% fill(x,y,dis,'EdgeAlpha',1); +figure('color','w'); +fill(x,y,dis,'EdgeColor','interp'); +xlabel('x, m','FontSize',14); +ylabel('y, m','FontSize',14); +ax = gca; +ax.FontSize = 14; +axis equal; +axis tight +% xlim([0,60]); +% ylim([0,60]); +% clim([10,15]); +colorbar +colormap jet +% fill(x,y,dis); +% axis off diff --git a/post processor/plot functions/plot_reservoir_3D.m b/post processor/plot functions/plot_reservoir_3D.m new file mode 100644 index 0000000..840fc76 --- /dev/null +++ b/post processor/plot functions/plot_reservoir_3D.m @@ -0,0 +1,44 @@ +function [ ] = plot_reservoir_3D(dx,dy,dz,nx,ny,nz ) +%UNTITLED ˴ʾйش˺ժҪ +% ˴ʾϸ˵ +%figure +% x-yƽ +for i=1:(nz+1) +% if i ==nz+1 +face=[0,0,(i-1)*dz;nx*dx,0,(i-1)*dz;nx*dx,ny*dy,(i-1)*dz;0,ny*dy,(i-1)*dz]; +% fill3(face(:,1),face(:,2),face(:,3),[0.5,0.5,0.5]); +fill3(face(:,1),face(:,2),face(:,3),'w'); +% end + +hold on +end +% [0.5,0.5,0.5] + +% x-zƽ +for i=1:(ny+1) +% if i == 1 +face=[0,(i-1)*dy,0;nx*dx,(i-1)*dy,0;nx*dx,(i-1)*dy,nz*dz;0,(i-1)*dy,nz*dz]; +% fill3(face(:,1),face(:,2),face(:,3),[0.5,0.5,0.5]); +fill3(face(:,1),face(:,2),face(:,3),'w'); +% end +hold on +end + +% y-zƽ +for i=1:(nx+1) +% if i == 1 +face=[(i-1)*dx,0,0;(i-1)*dx,ny*dy,0;(i-1)*dx,ny*dy,nz*dz;(i-1)*dx,0,nz*dz;]; +% fill3(face(:,1),face(:,2),face(:,3),[0.5,0.5,0.5]); +fill3(face(:,1),face(:,2),face(:,3),'w'); +% end +hold on +end + +xlabel('x,m'); +ylabel('y,m'); +zlabel('z,m'); +alpha(1); +hold on; +view(3) +end + diff --git a/post processor/plot functions/plotcp.m b/post processor/plot functions/plotcp.m new file mode 100644 index 0000000..aefe722 --- /dev/null +++ b/post processor/plot functions/plotcp.m @@ -0,0 +1,37 @@ +function [ ] = plotcp( Times,Times2,Wellpara,Wellpara2 ) +%PLOTCP ˴ʾйش˺ժҪ +% ˴ʾϸ˵ +t = Times; +n=size(Times,1); +% para = cell2mat(Wellpara); +nw=1;%ѡ +% n = length(para); +bhp = zeros(n,1); +for i = 1 : n +% bhp(i) = para(i).bhp(2); +bhp(i) = Wellpara{i}{1,nw}.qo; +% bhp(i) = Wellpara{i}{1,nw}.qw; +% bhp(i) = Wellpara{i}{1,nw}.pwf; +end +plot(t,bhp,'r*-'); + +hold on +t = Times2; +n=size(Times2,1); +% para = cell2mat(Wellpara); +nw=1;%ѡ +% n = length(para); +bhp = zeros(n,1); +for i = 1 : n +% bhp(i) = para(i).bhp(2); +% bhp(i) = Wellpara2{i}{1,nw}.qo; +bhp(i) = Wellpara2(i); +% bhp(i) = Wellpara{i}{1,nw}.qw; +% bhp(i) = Wellpara{i}{1,nw}.pwf; +end +plot(t,bhp,'bo-'); + +hold off + +end + diff --git a/post processor/plot functions/plotframe.m b/post processor/plot functions/plotframe.m new file mode 100644 index 0000000..8981a2a --- /dev/null +++ b/post processor/plot functions/plotframe.m @@ -0,0 +1,37 @@ +function [ ] = plotframe( r ) +%PLOTFRAME ˴ʾйش˺ժҪ +% ˴ʾϸ˵ +xe=1000;ye=500;ze=10; +network3D(xe,ye,ze,1,1,1 ); +% f1=[335,445,0; +% 335,445,10; +% 335,555,10; +% 335,555,0; +% 335,455,0;]; +% plot3(f1(:,1),f1(:,2),f1(:,3)); +% +% f2=[445,445,0; +% 445,445,10; +% 445,555,10; +% 445,555,0 +% 445,445,0;]; +% plot3(f2(:,1),f2(:,2),f2(:,3)); +% +% f3=[555,445,0; +% 555,445,10; +% 555,550,10; +% 555,550,0 +% 555,445,0;]; +% plot3(f3(:,1),f3(:,2),f3(:,3)); +% +% f4=[665,445,0; +% 665,445,10; +% 665,555,10; +% 665,555,0 +% 665,445,0;]; +% plot3(f4(:,1),f4(:,2),f4(:,3)); + +% hold off + +end + diff --git a/post processor/plot functions/plotgraph.m b/post processor/plot functions/plotgraph.m new file mode 100644 index 0000000..0b6e506 --- /dev/null +++ b/post processor/plot functions/plotgraph.m @@ -0,0 +1,63 @@ + +%PLOTGRAPH ˴ʾйش˺ժҪ +% ˴ʾϸ˵ +% set(gca,'FontName','Times New Roman','FontSize',10,'FontWeight','bold'); +subplot(1,2,1) +plotDislayer_new(15, 1 ,r,OutputRs, 1); +% caxis([10,30]); +title('Layer 1 in the 50th day','FontName','Times New Roman','FontSize',10,'FontWeight','bold'); +set(gca,'FontName','Times New Roman','FontSize',10,'FontWeight','bold'); + +axis equal +axis tight +% set(gca,'ztick',[0 30]) +% set(gca,'zticklabel',{'0' '30'}) +% xlabel('Layer 1 in the 50th day'); +% subplot(2,2,2) +% plotDislayer_new(15, 2 ,r,OutputRs, 1); +% caxis([10,20]); +% title('Layer 2 in the 50th day','FontName','Times New Roman','FontSize',10,'FontWeight','bold'); +% set(gca,'FontName','Times New Roman','FontSize',10,'FontWeight','bold'); +% axis equal +% axis tight +% set(gca,'ztick',[0 30]) +% set(gca,'zticklabel',{'0' '30'}) +% xlabel('Layer 2 in the 50th day'); +% subplot(2,2,3) +% plotDislayer_new(15, 3 ,r,OutputRs, 1); +% caxis([10,20]); +% title('Layer 3 in the 50th day','FontName','Times New Roman','FontSize',10,'FontWeight','bold'); +% set(gca,'FontName','Times New Roman','FontSize',10,'FontWeight','bold'); +% axis equal +% axis tight +% set(gca,'ztick',[0 30]) +% set(gca,'zticklabel',{'0' '30'}) +% xlabel('Layer 3 in the 50th day'); +subplot(1,2,2) +plotDis_new(15 ,r,OutputRs, 1); +% caxis([10,30]); +% xlabel('3D reservoir in the 50th day'); +title('3D reservoir in the 50th day','FontName','Times New Roman','FontSize',10,'FontWeight','bold'); +set(gca,'FontName','Times New Roman','FontSize',10,'FontWeight','bold'); +axis equal +axis tight +% set(gca,'ztick',[0 30]) +% set(gca,'zticklabel',{'0' '30'}) +% colorbar('SouthOutside'); +colorbar('position',[0.93 0.3 0.03 0.4]); +% subplot(1,2,1) +% plotDislayer_new(9, 1 ,r,OutputRs, 1); +% subplot(1,2,2) +% plotDislayer_new(9, 2 ,r,OutputRs, 1); +% subplot(2,4,5) +% plotDislayer_new(31, 1 ,r,OutputRs, 1); +% subplot(2,4,6) +% plotDislayer_new(31, 2 ,r,OutputRs, 1); +% subplot(2,4,7) +% plotDislayer_new(31, 3 ,r,OutputRs, 1); +% subplot(2,4,8) +% plotDis_new(31 ,r,OutputRs, 1); + + + + diff --git a/post processor/plot functions/plotwell.m b/post processor/plot functions/plotwell.m new file mode 100644 index 0000000..f87460a --- /dev/null +++ b/post processor/plot functions/plotwell.m @@ -0,0 +1,19 @@ +t = Times; +n=size(Times,1); +% para = cell2mat(Wellpara); +nw= 1;%ѡ +% n = length(para); +bhp = zeros(n,1); +for i = 1 : n +% bhp(i) = para(i).bhp(2); +% bhp(i) = Wellpara{i}{1,nw}.pwf; +bhp(i) = Wellpara{i}{1,nw}.qo; +% bhp(i) = Wellpara{i}{1,nw}.pwf; +% bhp(i) = Wellpara{i}{1,nw}.qw/(Wellpara{i}{1,nw}.qw+Wellpara{i}{1,nw}.qo); +end +plot(t,bhp,'b^-') +hold off +% ylim([0,200]); +xlabel('time, day'); +% ylabel('water cut'); +ylabel('oil production rate, m^3/d'); \ No newline at end of file diff --git a/post processor/plot functions/plotwell_set.m b/post processor/plot functions/plotwell_set.m new file mode 100644 index 0000000..1c01228 --- /dev/null +++ b/post processor/plot functions/plotwell_set.m @@ -0,0 +1,130 @@ + +n=size(Times,1); +t = Times; +% para = cell2mat(Wellpara); +total_oil=sum(r.V.*r.pori)*0.85/1.056; +total_water=sum(r.V.*r.pori)*0.15/1.056; + +nw=1;%ѡ +% n = length(para); +Qo = zeros(n,1); +Qw = zeros(n,1); +% Qg = zeros(n,1); +water_content = zeros(n,1); +Pwf = zeros(n,1); +accumu_quan_oil = 0; +% ۼƲɳ +accumu_oil = zeros(n,1); +% ɳ̶ +proportion_oil = zeros(n,1); +% ƽزѹ +average_pressure = zeros(n,1); + +for i = 1 : n +Qo(i) = Wellpara{i}{1,nw}.qo; +Qw(i) = Wellpara{i}{1,nw}.qw; +water_content(i) = Qw(i)/(Qo(i)+Qw(i)); +Pwf(i) = Wellpara{i}{1,nw}.pwf; +if i==1 + one_time_oil=Times(i)*Qo(i); + one_time_water=Times(i)*Qw(i); + accumu_oil(i)=one_time_oil; + accumu_water(i)=one_time_water; + else + one_time_oil=(Times(i)-Times(i-1))*Qo(i); + accumu_oil(i)=accumu_oil(i-1)+one_time_oil; + one_time_water=(Times(i)-Times(i-1))*Qw(i); + accumu_water(i)=accumu_water(i-1)+one_time_water; +end +proportion_oil(i)=accumu_oil(i)/total_oil; +proportion_water(i)=accumu_water(i)/total_water; +average_pressure(i)=mean(OutputRs{i,1}.p(1:r.nmc)); +end +%% ǰ +t=t/1; +%% ղۻ +% color('w'); +figure('color','w') +% figure(1) +[AX,H1,H2]=plotyy(t,Qo,t,accumu_oil); +% [AX,H1,H2] = plotyy(24,0,0,0,'plot'); +set(AX(1),'XColor','k','YColor','b'); +set(AX(2),'XColor','k','YColor','r'); +set(get(AX(1),'Ylabel'),'String','ղ/m^3') +set(get(AX(2),'Ylabel'),'String','ۻ/m^3') +set(H1,'LineStyle','-'); +set(H1,'Marker','o');set(H1,'MarkerSize',4); +set(H1,'color','b'); +set(H2,'LineStyle','-'); +set(H2,'Marker','^');set(H2,'MarkerSize',4); +set(H2,'color','r'); +legend([H1,H2],{'ղ';'ۻ'},'Location','Best'); +set(AX(1),'ylim',[0 500]) +% set(AX(2),'ylim',[0 600]) +% set(AX(1),'ytick',50:50:250) +% set(AX(2),'ytick',0:100:600) +% set(AX,'xlim',[0 30]) +% set(AX,'xtick',0:5:30) +% grid on +xlabel('ʱ/') +% title('ղۻ'); +%% ղˮۻˮ +% color('w'); +figure('color','w') +% figure(1) +[AX,H1,H2]=plotyy(t,Qw,t,accumu_water); +% [AX,H1,H2] = plotyy(24,0,0,0,'plot'); +set(AX(1),'XColor','k','YColor','b'); +set(AX(2),'XColor','k','YColor','r'); +set(get(AX(1),'Ylabel'),'String','ղˮ/m^3') +set(get(AX(2),'Ylabel'),'String','ۻˮ/m^3') +set(H1,'LineStyle','-'); +set(H1,'Marker','o');set(H1,'MarkerSize',4); +set(H1,'color','b'); +set(H2,'LineStyle','-'); +set(H2,'Marker','^');set(H2,'MarkerSize',4); +set(H2,'color','r'); +legend([H1,H2],{'ղˮ';'ۻˮ'},'Location','Best'); +% set(AX(1),'ylim',[50 250]) +% set(AX(2),'ylim',[0 600]) +% set(AX(1),'ytick',50:50:250) +% set(AX(2),'ytick',0:100:600) +% set(AX,'xlim',[0 30]) +% set(AX,'xtick',0:5:30) +% grid on +xlabel('ʱ/') +% title('ղˮۻˮ'); +%% ƽزѹͲɳ̶ +% color('w'); +figure('color','w') +% figure(1) +[AX,H1,H2]=plotyy(t,average_pressure,t,proportion_oil*100); +% [AX,H1,H2] = plotyy(24,0,0,0,'plot'); +set(AX(1),'XColor','k','YColor','b'); +set(AX(2),'XColor','k','YColor','r'); +set(get(AX(1),'Ylabel'),'String','ƽزѹ/MPa') +set(get(AX(2),'Ylabel'),'String','ɳ̶/%') +set(H1,'LineStyle','-'); +set(H1,'Marker','o');set(H1,'MarkerSize',4); +set(H1,'color','b'); +set(H2,'LineStyle','-'); +set(H2,'Marker','^');set(H2,'MarkerSize',4); +set(H2,'color','r'); +legend([H1,H2],{'ƽزѹ';'ɳ̶'},'Location','Best'); +% set(AX(1),'ylim',[50 250]) +% set(AX(2),'ylim',[0 600]) +% set(AX(1),'ytick',50:50:250) +% set(AX(2),'ytick',0:100:600) +% set(AX,'xlim',[0 30]) +% set(AX,'xtick',0:5:30) +% grid on +xlabel('ʱ/') +% title('ղۻ'); +%% ƺˮ +figure('color','w') +plot(t,water_content); +set(get(gca,'Xlabel'),'String','ʱ/') +xlabel('ʱ/') +ylabel('ˮ') +% hold on +% plot(ECLIPSE(:,1),ECLIPSE(:,2),'B'); \ No newline at end of file diff --git a/post processor/plot functions/refine.m b/post processor/plot functions/refine.m new file mode 100644 index 0000000..b6db513 --- /dev/null +++ b/post processor/plot functions/refine.m @@ -0,0 +1,64 @@ +% network3D(2060,1580,10,1,1,3 ); +%REFINE ˴ʾйش˺ժҪ +% ˴ʾϸ˵ +% % % well=cell(4,1); +% % % load('perforation1.mat');welloc1 = [perforation1, 7.5*ones(size(perforation1,1),1)]; +% % % load('perforation2.mat');welloc2 = [perforation2, 7.5*ones(size(perforation2,1),1)]; +% % % load('perforation3.mat');welloc3 = [perforation3, 7.5*ones(size(perforation3,1),1)]; +% % % load('perforation4.mat');welloc4 = [perforation4, 7.5*ones(size(perforation4,1),1)]; +% % % well{1,1} = welloc1; +% % % well{2,1} = welloc2; +% % % well{3,1} = welloc3; +% % % well{4,1} = welloc4; +% % % +% % % for i=1:4 +% % % line(well{i,1}(:,1)',well{i,1}(:,2)',well{i,1}(:,3)','color','k','LineWidth',2); +% % % hold on +% % % end + +% load('injectionWellsCoord.mat') +% injectionWellsCoord = [45,45; +% 655,45; +% 45,625; +% 655,625;]; +% for i=1:size(injectionWellsCoord,1) +% line(injectionWellsCoord(i,1)*ones(2,1),injectionWellsCoord(i,2)*ones(2,1),[0;20],'color','k','LineWidth',2); +% hold on +% text(injectionWellsCoord(i,1),injectionWellsCoord(i,2),20,'עˮ','FontSize',12,'FontWeight','bold'); +% hold on +% end + +% wellbore +% wellbore = [250+100,100+100,46; +% 550+100,100+1700,46]; +% % wellbore = [50,352,10; +% % 950,352,10;]; +% plot3(wellbore(:,1),wellbore(:,2),wellbore(:,3),'color','k','LineWidth',2.5); + +% wellbore = [450,520,10; +% 450,1420,10;]; +% % wellbore = [50,352,10; +% % 950,352,10;]; +% plot3(wellbore(:,1),wellbore(:,2),wellbore(:,3),'color','k','LineWidth',2.5); +hold on +% wellbore = [1175,370,10; +% 1175,1170,10;]; +% % wellbore = [50,352,10; +% % 950,352,10;]; +% plot3(wellbore(:,1),wellbore(:,2),wellbore(:,3),'color','k','LineWidth',2.5); +% text(wellbore(1,1),wellbore(1,2),10,'ѹˮƽ','FontSize',12,'FontWeight','bold'); +hold on +% hwell=cell(1,1); +% hwell{1,1}=[385,1300,15; +% 385,400,15;]; +% hwell{2,1}=[955,1330,15; +% 955,330,15;]; +% hwell{3,1}=[1635,1275,15; +% 1635,580,15;]; +% for i=1:3 +% line(hwell{i,1}(:,1)',hwell{i,1}(:,2)',hwell{i,1}(:,3)','color','k'); +% hold on +% end + + + diff --git a/post processor/plotWellResponse.m b/post processor/plotWellResponse.m new file mode 100644 index 0000000..b3bcc97 --- /dev/null +++ b/post processor/plotWellResponse.m @@ -0,0 +1,55 @@ +function [] = plotWellResponse(Times,Wellpara) +% +wellNumber = 1; % +dataType = 'dPWF'; % ͣٶ GPRٶ OPR, ˮٶ WPRѹ BHPѹ dPWF +% +t = Times; +n= size(Times,1); +% para = cell2mat(Wellpara); +nw = wellNumber;%ѡ +% n = length(para); +data = zeros(n,1); +if strcmp(dataType, 'GPR') + for i = 1 : n + data(i) = Wellpara{i}{1,nw}.qg; + figureYlegend = 'Gas production rate, m^3/d'; + end + plot(t,data,'k^-');hold off; xlabel('Time, day');ylabel(figureYlegend); +end +if strcmp(dataType, 'OPR') + for i = 1 : n + data(i) = Wellpara{i}{1,nw}.qo; + figureYlegend = 'Oil production rate, m^3/d'; + end + plot(t,data,'k^-');hold off; xlabel('Time, day');ylabel(figureYlegend); +end +if strcmp(dataType, 'WPR') + for i = 1 : n + data(i) = Wellpara{i}{1,nw}.qw; + figureYlegend = 'Water production rate, m^3/d'; + end + plot(t,data,'k^-');hold off; xlabel('Time, day');ylabel(figureYlegend); +end +if strcmp(dataType, 'BHP') + for i = 1 : n + data(i) = Wellpara{i}{1,nw}.pwf; + figureYlegend = 'BHP, MPa'; + end + plot(t,data,'k^-');hold off; xlabel('Time, day');ylabel(figureYlegend); +end +if strcmp(dataType, 'dPWF') % dpwf/dlnt = t*dpwf/dt + for i = 1 : n + if i == 1 + data(i) = (Wellpara{i+1}{1,nw}.pwf-Wellpara{i}{1,nw}.pwf)/(log(t(i+1))-log(t(i))); + elseif i == n + data(i) = (Wellpara{i}{1,nw}.pwf-Wellpara{i-1}{1,nw}.pwf)/(log(t(i))-log(t(i-1))); + else + data(i) = (Wellpara{i+1}{1,nw}.pwf-Wellpara{i-1}{1,nw}.pwf)/(log(t(i+1))-log(t(i-1))); + end + figureYlegend = 'Pressure derivative, MPa'; + end + plot(t,data,'k^-');hold off; xlabel('Time, day');ylabel(figureYlegend); + set(gca, 'XScale', 'log'); + set(gca, 'YScale', 'log'); +end +end \ No newline at end of file diff --git a/post processor/plot_2D_layer.m b/post processor/plot_2D_layer.m new file mode 100644 index 0000000..0d45394 --- /dev/null +++ b/post processor/plot_2D_layer.m @@ -0,0 +1,50 @@ +function plot_2D_layer(i, k, r, OutputRs, type) +coordinate=r.coordinates; +nodes=r.nodes; +nz=r.nz; +nx=r.nx; +ny=r.ny; +nmc = size(nodes,1); +% nel = size(nodes,2); +nel = 4; +if type == 1 +% v = r.kx; + v = OutputRs{i}.p; +else + v = 1-OutputRs{i}.sw;%Ͷ +end +dis = zeros(nel, nx*ny); +x = zeros(nel, nx*ny); +y = zeros(nel, nx*ny); +for i = 1 :nx*ny + for j = 1 :nel + grid_numbering = i+(nz-k)*nx*ny; + x(j, i) = coordinate(nodes(grid_numbering,j), 1); + y(j, i) = coordinate(nodes(grid_numbering,j), 2); + if j == 3 + x(j, i) = coordinate(nodes(grid_numbering,4), 1); + y(j, i) = coordinate(nodes(grid_numbering,4), 2); + end + if j == 4 + x(j, i) = coordinate(nodes(grid_numbering,3), 1); + y(j, i) = coordinate(nodes(grid_numbering,3), 2); + end + dis(j, i) = v(grid_numbering); + end +end +% fill(x,y,dis,'EdgeAlpha',1); +figure('color','w'); +fill(x,y,dis,'EdgeColor','interp'); +xlabel('x, m','FontSize',14); +ylabel('y, m','FontSize',14); +ax = gca; +ax.FontSize = 14; +axis equal; +axis tight +% xlim([0,60]); +% ylim([0,60]); +% clim([10,15]); +colorbar +colormap jet +% fill(x,y,dis); +% axis off diff --git a/post processor/plot_3D.m b/post processor/plot_3D.m new file mode 100644 index 0000000..05ac1b2 --- /dev/null +++ b/post processor/plot_3D.m @@ -0,0 +1,70 @@ +% 主程序示例 +clear; clc; close all; + +% 设置网格参数 +nx = 20; +ny = 15; +nz = 10; + +% 生成非均匀网格尺寸 +dx = linspace(0.5, 1.5, nx)'; % x方向网格尺寸从0.5到1.5变化 +dy = linspace(0.8, 1.2, ny)'; % y方向网格尺寸从0.8到1.2变化 +dz = ones(nz, 1) * 1.0; % z方向均匀网格 + +% 生成示例数据（例如：三维高斯分布） +x_center = sum(dx)/2; % 中心位置 +y_center = sum(dy)/2; +z_center = sum(dz)/2; + +% 计算每个网格点的坐标 +x_pos = zeros(nx, 1); +x_pos(1) = dx(1)/2; +for i = 2:nx + x_pos(i) = x_pos(i-1) + (dx(i-1) + dx(i))/2; +end + +y_pos = zeros(ny, 1); +y_pos(1) = dy(1)/2; +for i = 2:ny + y_pos(i) = y_pos(i-1) + (dy(i-1) + dy(i))/2; +end + +z_pos = zeros(nz, 1); +z_pos(1) = dz(1)/2; +for i = 2:nz + z_pos(i) = z_pos(i-1) + (dz(i-1) + dz(i))/2; +end + +% 创建网格坐标 +[X, Y, Z] = ndgrid(x_pos, y_pos, z_pos); + +% 生成示例物理量数据（三维高斯分布） +sigma_x = max(x_pos)/3; +sigma_y = max(y_pos)/3; +sigma_z = max(z_pos)/3; +data = exp(-((X - x_center).^2/(2*sigma_x^2) + ... + (Y - y_center).^2/(2*sigma_y^2) + ... + (Z - z_center).^2/(2*sigma_z^2))); + +% 绘制不同类型的图 +% plot_3d_grid_data_slice(nx, ny, nz, dx, dy, dz, data); +% plot_3d_grid_data_scatter(nx, ny, nz, dx, dy, dz, data); +% plot_3d_grid_data_volume(nx, ny, nz, dx, dy, dz, data); +% 方法1：基本体素图 +fprintf('绘制方法1：基本体素图...\n'); +plot_3d_grid_voxel_full(nx, ny, nz, dx, dy, dz, data); +title('方法1：基本体素图 - 高斯分布'); + +% 方法2：优化版本 +fprintf('绘制方法2：优化版本...\n'); +plot_3d_grid_patch_optimized(nx, ny, nz, dx, dy, dz, data); +title('方法2：优化版本 - 球壳分布'); + +% 方法3：体素函数法 +fprintf('绘制方法3：体素函数法...\n'); +plot_3d_grid_voxel_function(nx, ny, nz, dx, dy, dz, data); +title('方法3：体素函数法 - 波纹分布'); + +% 方法4：半透明效果 +fprintf('绘制方法4：半透明效果...\n'); +plot_3d_grid_transparent(nx, ny, nz, dx, dy, dz, data); \ No newline at end of file diff --git a/post processor/plot_3D_dis.m b/post processor/plot_3D_dis.m new file mode 100644 index 0000000..6674f45 --- /dev/null +++ b/post processor/plot_3D_dis.m @@ -0,0 +1,144 @@ +function plot_3D_dis(i, r,OutputRs, type) +%Ϊͼǰ +figure('color','w') +[ downgrid, frontgrid ,leftgrid, rightgrid, backgrid, upgrid ] = preplot_dis( r ); +coordinate=r.coordinates; +nodes=r.nodes; +% nmc = size(nodes,1);% +% % nel = size(nodes,2);%ÿĵ +% order=[1,2,4,3,1,5,6,8,7,3,4,8,6,2,1];%fillͼ +% nel=size(order,2); +if type == 1 + v = OutputRs{i}.p; +elseif type == 2 + v = 1-OutputRs{i}.sw;%ͱͶ +elseif type == 3 + v = OutputRs{i}.sg;%ͱͶ +else + v = OutputRs{i}.sw;%ͱͶ +end +% +order=[1,2,4,3,1]; +nel=size(order,2); +nmc=size(downgrid,2); +dis = zeros(nel, nmc); +x = zeros(nel, nmc); +y = zeros(nel, nmc); +z = zeros(nel, nmc); +for i = 1 : nmc + for j = 1 : nel + x(j, i) = coordinate(nodes(downgrid(i),order(j)), 1); + y(j, i) = coordinate(nodes(downgrid(i),order(j)), 2); + z(j, i) = coordinate(nodes(downgrid(i),order(j)), 3)-max(coordinate(:,3))-2000; + dis(j, i) = v(downgrid(i)); + end +end +fill3(x,y,z,dis,'edgeColor','interp'); +hold on + +% +order=[1,5,7,3,1]; +nel=size(order,2); +nmc=size(leftgrid,2); +dis = zeros(nel, nmc); +x = zeros(nel, nmc); +y = zeros(nel, nmc); +z = zeros(nel, nmc); +for i = 1 : nmc + for j = 1 : nel + x(j, i) = coordinate(nodes(leftgrid(i),order(j)), 1); + y(j, i) = coordinate(nodes(leftgrid(i),order(j)), 2); + z(j, i) = coordinate(nodes(leftgrid(i),order(j)), 3)-max(coordinate(:,3))-2000; + dis(j, i) = v(leftgrid(i)); + end +end +fill3(x,y,z,dis,'edgeColor','interp'); + +% +order=[2,4,8,6,2]; +nel=size(order,2); +nmc=size(rightgrid,2); +dis = zeros(nel, nmc); +x = zeros(nel, nmc); +y = zeros(nel, nmc); +z = zeros(nel, nmc); +for i = 1 : nmc + for j = 1 : nel + x(j, i) = coordinate(nodes(rightgrid(i),order(j)), 1); + y(j, i) = coordinate(nodes(rightgrid(i),order(j)), 2); + z(j, i) = coordinate(nodes(rightgrid(i),order(j)), 3)-max(coordinate(:,3))-2000; + dis(j, i) = v(rightgrid(i)); + end +end +fill3(x,y,z,dis,'edgeColor','interp'); + +%ǰ +order=[1,2,6,5,1]; +nel=size(order,2); +nmc=size(frontgrid,2); +dis = zeros(nel, nmc); +x = zeros(nel, nmc); +y = zeros(nel, nmc); +z = zeros(nel, nmc); +for i = 1 : nmc + for j = 1 : nel + x(j, i) = coordinate(nodes(frontgrid(i),order(j)), 1); + y(j, i) = coordinate(nodes(frontgrid(i),order(j)), 2); + z(j, i) = coordinate(nodes(frontgrid(i),order(j)), 3)-max(coordinate(:,3))-2000; + dis(j, i) = v(frontgrid(i)); + end +end +fill3(x,y,z,dis,'edgeColor','interp'); + +% +order=[3,4,8,7,3]; +nel=size(order,2); +nmc=size(backgrid,2); +dis = zeros(nel, nmc); +x = zeros(nel, nmc); +y = zeros(nel, nmc); +z = zeros(nel, nmc); +for i = 1 : nmc + for j = 1 : nel + x(j, i) = coordinate(nodes(backgrid(i),order(j)), 1); + y(j, i) = coordinate(nodes(backgrid(i),order(j)), 2); + z(j, i) = coordinate(nodes(backgrid(i),order(j)), 3)-max(coordinate(:,3))-2000; + dis(j, i) = v(backgrid(i)); + end +end +fill3(x,y,z,dis,'edgeColor','interp'); + +% +order=[5,6,8,7,5]; +nel=size(order,2); +nmc=size(upgrid,2); +dis = zeros(nel, nmc); +x = zeros(nel, nmc); +y = zeros(nel, nmc); +z = zeros(nel, nmc); +for i = 1 : nmc + for j = 1 : nel + x(j, i) = coordinate(nodes(upgrid(i),order(j)), 1); + y(j, i) = coordinate(nodes(upgrid(i),order(j)), 2); + z(j, i) = coordinate(nodes(upgrid(i),order(j)), 3)-max(coordinate(:,3))-2000; + dis(j, i) = v(upgrid(i)); + end +end +fill3(x,y,z,dis,'edgeColor','interp'); +set(gca,'FontName','Times New Roman','FontSize',10,'FontWeight','bold'); +xlabel('x, m'); +ylabel('y, m'); +zlabel('z, m'); +view(3); +% Ͳؿ +% plotframe( r ); +alpha(1) +% caxis([0.2,0.8]); +caxis([10,13]); +% caxis([12,22]); +colormap jet +colorbar +% zlim([-2020,-2000]); +% axis equal +axis tight + diff --git a/post processor/plot_3d_grid_data_scatter.m b/post processor/plot_3d_grid_data_scatter.m new file mode 100644 index 0000000..ba40397 --- /dev/null +++ b/post processor/plot_3d_grid_data_scatter.m @@ -0,0 +1,54 @@ +function plot_3d_grid_data_scatter(nx, ny, nz, dx, dy, dz, data) +% 绘制三维网格数据的点云图 +% 输入参数： +% nx, ny, nz - 各方向的网格数 +% dx, dy, dz - 各方向的网格尺寸向量 +% data - 物理量数据，维度为(nx, ny, nz) + +% 计算每个网格点的坐标位置 +x = zeros(1, nx); +x(1) = dx(1)/2; +for i = 2:nx + x(i) = x(i-1) + (dx(i-1) + dx(i))/2; +end + +y = zeros(1, ny); +y(1) = dy(1)/2; +for i = 2:ny + y(i) = y(i-1) + (dy(i-1) + dy(i))/2; +end + +z = zeros(1, nz); +z(1) = dz(1)/2; +for i = 2:nz + z(i) = z(i-1) + (dz(i-1) + dz(i))/2; +end + +% 创建所有网格点的坐标矩阵 +[X, Y, Z] = ndgrid(x, y, z); +% data已经是(nx, ny, nz)格式，与ndgrid输出匹配 + +% 将数据展平用于scatter3 +X_flat = X(:); +Y_flat = Y(:); +Z_flat = Z(:); +data_flat = data(:); + +% 创建新图形 +figure('Position', [100, 100, 800, 600]); + +% 使用scatter3绘制点云图 +scatter3(X_flat, Y_flat, Z_flat, 20, data_flat, 'filled'); +colorbar; +colormap('jet'); +xlabel('X'); +ylabel('Y'); +zlabel('Z'); +title('三维网格物理量分布（点云图）'); +axis equal; +view(3); +grid on; + +% 添加透明度设置（可选，用于显示内部点） +alpha(0.8); +end \ No newline at end of file diff --git a/post processor/plot_3d_grid_data_slice.m b/post processor/plot_3d_grid_data_slice.m new file mode 100644 index 0000000..164b596 --- /dev/null +++ b/post processor/plot_3d_grid_data_slice.m @@ -0,0 +1,52 @@ +function plot_3d_grid_data_slice(nx, ny, nz, dx, dy, dz, data) +% 绘制三维网格数据的切片图 +% 输入参数： +% nx, ny, nz - 各方向的网格数 +% dx, dy, dz - 各方向的网格尺寸向量 +% data - 物理量数据，维度为(nx, ny, nz) + +% 计算每个网格点的坐标位置（取网格中心点） +x = zeros(1, nx); +x(1) = dx(1)/2; +for i = 2:nx + x(i) = x(i-1) + (dx(i-1) + dx(i))/2; +end + +y = zeros(1, ny); +y(1) = dy(1)/2; +for i = 2:ny + y(i) = y(i-1) + (dy(i-1) + dy(i))/2; +end + +z = zeros(1, nz); +z(1) = dz(1)/2; +for i = 2:nz + z(i) = z(i-1) + (dz(i-1) + dz(i))/2; +end + +% 创建三维网格 +[X, Y, Z] = meshgrid(x, y, z); +% 注意：meshgrid生成的数组维度顺序为(ny, nx, nz) +% 如果data是(nx, ny, nz)，需要转置 +data_plot = permute(data, [2, 1, 3]); + +% 创建新图形 +figure('Position', [100, 100, 800, 600]); + +% 使用slice绘制三个正交切面 +xslice = [x(round(nx/4)), x(round(nx/2)), x(round(3*nx/4))]; +yslice = [y(round(ny/4)), y(round(ny/2)), y(round(3*ny/4))]; +zslice = [z(round(nz/4)), z(round(nz/2)), z(round(3*nz/4))]; + +slice(X, Y, Z, data_plot, xslice, yslice, zslice); +shading interp; +colorbar; +colormap('jet'); +xlabel('X'); +ylabel('Y'); +zlabel('Z'); +title('三维网格物理量分布（切片图）'); +axis equal; +view(3); +grid on; +end \ No newline at end of file diff --git a/post processor/plot_3d_grid_data_volume.m b/post processor/plot_3d_grid_data_volume.m new file mode 100644 index 0000000..14388a0 --- /dev/null +++ b/post processor/plot_3d_grid_data_volume.m @@ -0,0 +1,66 @@ +function plot_3d_grid_data_volume(nx, ny, nz, dx, dy, dz, data) +% 绘制三维网格数据的体绘制图 +% 输入参数： +% nx, ny, nz - 各方向的网格数 +% dx, dy, dz - 各方向的网格尺寸向量 +% data - 物理量数据，维度为(nx, ny, nz) + +% 计算每个网格点的坐标位置 +x = zeros(1, nx); +x(1) = dx(1)/2; +for i = 2:nx + x(i) = x(i-1) + (dx(i-1) + dx(i))/2; +end + +y = zeros(1, ny); +y(1) = dy(1)/2; +for i = 2:ny + y(i) = y(i-1) + (dy(i-1) + dy(i))/2; +end + +z = zeros(1, nz); +z(1) = dz(1)/2; +for i = 2:nz + z(i) = z(i-1) + (dz(i-1) + dz(i))/2; +end + +% 创建三维网格 +[X, Y, Z] = meshgrid(x, y, z); +% 调整data维度 +data_plot = permute(data, [2, 1, 3]); + +% 创建新图形 +figure('Position', [100, 100, 900, 700]); + +% 方法1：使用vol3d v2（如果安装了File Exchange的vol3d工具） +% 如果没有安装，可以使用以下基本体绘制 + +% 创建多个等值面 +levels = linspace(min(data(:)), max(data(:)), 5); +for i = 2:length(levels)-1 + p = patch(isosurface(X, Y, Z, data_plot, levels(i))); + isonormals(X, Y, Z, data_plot, p); + set(p, 'FaceColor', 'interp', 'EdgeColor', 'none'); + + % 根据数据值设置颜色 + cdata = get(p, 'FaceVertexCData'); + set(p, 'FaceVertexCData', cdata); +end + +% 添加一些切片来显示内部结构 +hold on; +h = slice(X, Y, Z, data_plot, x(round(nx/2)), y(round(ny/2)), z(round(nz/2))); +set(h, 'FaceAlpha', 0.6, 'EdgeColor', 'none'); + +colorbar; +colormap('jet'); +xlabel('X'); +ylabel('Y'); +zlabel('Z'); +title('三维网格物理量分布（体绘制）'); +axis equal; +view(3); +grid on; +camlight; +lighting gouraud; +end \ No newline at end of file diff --git a/post processor/plot_3d_grid_patch_optimized.m b/post processor/plot_3d_grid_patch_optimized.m new file mode 100644 index 0000000..eba5c39 --- /dev/null +++ b/post processor/plot_3d_grid_patch_optimized.m @@ -0,0 +1,128 @@ +function plot_3d_grid_patch_optimized(nx, ny, nz, dx, dy, dz, data) +% 使用patch一次性绘制所有网格（优化版本） +% 输入参数： +% nx, ny, nz - 各方向的网格数 +% dx, dy, dz - 各方向的网格尺寸向量 +% data - 物理量数据，维度为(nx, ny, nz) + +% 计算每个网格的边界坐标 +x_edges = zeros(nx+1, 1); +x_edges(1) = 0; +for i = 1:nx + x_edges(i+1) = x_edges(i) + dx(i); +end + +y_edges = zeros(ny+1, 1); +y_edges(1) = 0; +for i = 1:ny + y_edges(i+1) = y_edges(i) + dy(i); +end + +z_edges = zeros(nz+1, 1); +z_edges(1) = 0; +for i = 1:nz + z_edges(i+1) = z_edges(i) + dz(i); +end + +% 创建网格顶点坐标 +[X_edges, Y_edges, Z_edges] = ndgrid(x_edges, y_edges, z_edges); + +% 重新排列顶点 +vertices = [X_edges(:), Y_edges(:), Z_edges(:)]; + +% 创建每个体素的8个顶点索引 +n_cells = nx * ny * nz; +faces = zeros(n_cells * 6, 4); % 每个体素6个面，每个面4个顶点 +face_colors = zeros(n_cells * 6, 1); + +% 顶点编号方式：按照(i,j,k)顺序 +% 每个体素的8个顶点索引 +% v1: (i,j,k) +% v2: (i+1,j,k) +% v3: (i+1,j+1,k) +% v4: (i,j+1,k) +% v5: (i,j,k+1) +% v6: (i+1,j,k+1) +% v7: (i+1,j+1,k+1) +% v8: (i,j+1,k+1) + +face_idx = 1; +for i = 1:nx + for j = 1:ny + for k = 1:nz + % 计算当前体素的8个顶点索引 + idx = @(ii, jj, kk) (ii-1)*(ny+1)*(nz+1) + (jj-1)*(nz+1) + kk; + + v1 = idx(i, j, k); + v2 = idx(i+1, j, k); + v3 = idx(i+1, j+1, k); + v4 = idx(i, j+1, k); + v5 = idx(i, j, k+1); + v6 = idx(i+1, j, k+1); + v7 = idx(i+1, j+1, k+1); + v8 = idx(i, j+1, k+1); + + % 当前体素的值 + cell_value = data(i, j, k); + + % 底面 (k层) + faces(face_idx, :) = [v1, v2, v3, v4]; + face_colors(face_idx) = cell_value; + face_idx = face_idx + 1; + + % 顶面 (k+1层) + faces(face_idx, :) = [v5, v6, v7, v8]; + face_colors(face_idx) = cell_value; + face_idx = face_idx + 1; + + % 前面 (j层) + faces(face_idx, :) = [v1, v2, v6, v5]; + face_colors(face_idx) = cell_value; + face_idx = face_idx + 1; + + % 后面 (j+1层) + faces(face_idx, :) = [v4, v3, v7, v8]; + face_colors(face_idx) = cell_value; + face_idx = face_idx + 1; + + % 左面 (i层) + faces(face_idx, :) = [v1, v4, v8, v5]; + face_colors(face_idx) = cell_value; + face_idx = face_idx + 1; + + % 右面 (i+1层) + faces(face_idx, :) = [v2, v3, v7, v6]; + face_colors(face_idx) = cell_value; + face_idx = face_idx + 1; + end + end +end + +% 创建图形 +figure('Position', [100, 100, 1000, 800]); + +% 绘制所有面 +patch('Vertices', vertices, 'Faces', faces, ... + 'FaceVertexCData', face_colors, ... + 'FaceColor', 'flat', ... + 'CDataMapping', 'scaled', ... + 'EdgeColor', 'none', ... + 'FaceAlpha', 0.9); + +% 设置属性 +colorbar; +colormap jet; +xlabel('X'); +ylabel('Y'); +zlabel('Z'); +title('三维笛卡尔网格全充满物理量分布（优化版）'); +axis equal; +view(3); +grid on; +box on; + +% 光照设置 +lighting gouraud; +light('Position', [1 1 1], 'Style', 'infinite'); +light('Position', [-1 -1 -1], 'Style', 'infinite'); +end \ No newline at end of file diff --git a/post processor/plot_3d_grid_transparent.m b/post processor/plot_3d_grid_transparent.m new file mode 100644 index 0000000..24256cb --- /dev/null +++ b/post processor/plot_3d_grid_transparent.m @@ -0,0 +1,105 @@ +function plot_3d_grid_transparent(nx, ny, nz, dx, dy, dz, data) +% 绘制半透明效果的三维网格 +% 输入参数： +% nx, ny, nz - 各方向的网格数 +% dx, dy, dz - 各方向的网格尺寸向量 +% data - 物理量数据，维度为(nx, ny, nz) + +% 计算每个网格的边界坐标 +x_edges = zeros(nx+1, 1); +x_edges(1) = 0; +for i = 1:nx + x_edges(i+1) = x_edges(i) + dx(i); +end + +y_edges = zeros(ny+1, 1); +y_edges(1) = 0; +for i = 1:ny + y_edges(i+1) = y_edges(i) + dy(i); +end + +z_edges = zeros(nz+1, 1); +z_edges(1) = 0; +for i = 1:nz + z_edges(i+1) = z_edges(i) + dz(i); +end + +% 创建图形 +figure('Position', [100, 100, 1000, 800]); +hold on; + +% 设置颜色映射 +colormap jet; +caxis([min(data(:)), max(data(:))]); + +% 根据物理量值设置透明度 +% 值越大越不透明，值越小越透明 +data_min = min(data(:)); +data_max = max(data(:)); +data_range = data_max - data_min; + +for i = 1:nx + for j = 1:ny + for k = 1:nz + % 获取当前体素的边界 + x_min = x_edges(i); + x_max = x_edges(i+1); + y_min = y_edges(j); + y_max = y_edges(j+1); + z_min = z_edges(k); + z_max = z_edges(k+1); + + % 获取当前体素的物理量值 + value = data(i, j, k); + + % 根据值设置透明度（值越大越不透明） + % alpha_val = 0.3 + 0.6 * (value - data_min) / data_range; + alpha_val = 1; + + % 创建体素的8个顶点 + vertices = [x_min, y_min, z_min; + x_max, y_min, z_min; + x_max, y_max, z_min; + x_min, y_max, z_min; + x_min, y_min, z_max; + x_max, y_min, z_max; + x_max, y_max, z_max; + x_min, y_max, z_max]; + + % 创建6个面的顶点索引 + faces = [1 2 3 4; % 底面 + 5 6 7 8; % 顶面 + 1 2 6 5; % 前面 + 2 3 7 6; % 右面 + 3 4 8 7; % 后面 + 4 1 5 8]; % 左面 + + % 绘制体素 + patch('Vertices', vertices, 'Faces', faces, ... + 'FaceColor', 'flat', ... + 'FaceVertexCData', value, ... + 'CDataMapping', 'scaled', ... + 'FaceAlpha', alpha_val, ... + 'EdgeColor', 'none'); + end + end +end + +% 设置图形属性 +colorbar; +xlabel('X'); +ylabel('Y'); +zlabel('Z'); +title('三维笛卡尔网格全充满物理量分布（透明度与数值相关）'); +axis equal; +view(3); +grid on; +box on; + +% 光照设置 +lighting gouraud; +light('Position', [1 1 1], 'Style', 'infinite'); +light('Position', [-1 -1 -1], 'Style', 'infinite'); + +hold off; +end \ No newline at end of file diff --git a/post processor/plot_3d_grid_voxel_full.m b/post processor/plot_3d_grid_voxel_full.m new file mode 100644 index 0000000..b85b56a --- /dev/null +++ b/post processor/plot_3d_grid_voxel_full.m @@ -0,0 +1,99 @@ +function plot_3d_grid_voxel_full(nx, ny, nz, dx, dy, dz, data) +% 绘制三维笛卡尔网格全充满的体素图（每个网格单一颜色） +% 输入参数： +% nx, ny, nz - 各方向的网格数 +% dx, dy, dz - 各方向的网格尺寸向量 +% data - 物理量数据，维度为(nx, ny, nz) + +% 计算每个网格的边界坐标 +x_edges = zeros(nx+1, 1); +x_edges(1) = 0; +for i = 1:nx + x_edges(i+1) = x_edges(i) + dx(i); +end + +y_edges = zeros(ny+1, 1); +y_edges(1) = 0; +for i = 1:ny + y_edges(i+1) = y_edges(i) + dy(i); +end + +z_edges = zeros(nz+1, 1); +z_edges(1) = 0; +for i = 1:nz + z_edges(i+1) = z_edges(i) + dz(i); +end + +% 创建图形窗口 +figure('Position', [100, 100, 1000, 800]); +hold on; + +% 设置颜色映射 +colormap jet; +caxis([min(data(:)), max(data(:))]); + +% 绘制每个体素 +alpha_value = 0.9; % 透明度 + +for i = 1:nx + for j = 1:ny + for k = 1:nz + % 获取当前体素的边界 + x_min = x_edges(i); + x_max = x_edges(i+1); + y_min = y_edges(j); + y_max = y_edges(j+1); + z_min = z_edges(k); + z_max = z_edges(k+1); + + % 获取当前体素的物理量值 + value = data(i, j, k); + + % 创建体素的8个顶点 + vertices = [x_min, y_min, z_min; + x_max, y_min, z_min; + x_max, y_max, z_min; + x_min, y_max, z_min; + x_min, y_min, z_max; + x_max, y_min, z_max; + x_max, y_max, z_max; + x_min, y_max, z_max]; + + % 创建6个面的顶点索引 + faces = [1 2 3 4; % 底面 + 5 6 7 8; % 顶面 + 1 2 6 5; % 前面 + 2 3 7 6; % 右面 + 3 4 8 7; % 后面 + 4 1 5 8]; % 左面 + + % 关键修改：使用 'flat' 确保每个面单一颜色 + % 并且为每个面指定相同的颜色值 + patch('Vertices', vertices, 'Faces', faces, ... + 'FaceColor', 'flat', ... % 'flat' 确保每个面单一颜色 + 'FaceVertexCData', value * ones(size(faces, 1), 1), ... % 所有面使用相同颜色值 + 'CDataMapping', 'scaled', ... + 'FaceAlpha', alpha_value, ... + 'EdgeColor', 'none'); + end + end +end + +% 设置图形属性 +colorbar; +xlabel('X'); +ylabel('Y'); +zlabel('Z'); +title('三维笛卡尔网格全充满物理量分布（每个网格单一颜色）'); +axis equal; +view(3); +grid on; +box on; + +% 设置光照 +lighting gouraud; +light('Position', [1 1 1], 'Style', 'infinite'); +light('Position', [-1 -1 -1], 'Style', 'infinite'); + +hold off; +end \ No newline at end of file diff --git a/post processor/plot_3d_grid_voxel_function.m b/post processor/plot_3d_grid_voxel_function.m new file mode 100644 index 0000000..3cbaac7 --- /dev/null +++ b/post processor/plot_3d_grid_voxel_function.m @@ -0,0 +1,105 @@ +function plot_3d_grid_voxel_function_fixed(nx, ny, nz, dx, dy, dz, data) +% 使用自定义voxel函数绘制三维网格（每个网格单一颜色） +% 输入参数： +% nx, ny, nz - 各方向的网格数 +% dx, dy, dz - 各方向的网格尺寸向量 +% data - 物理量数据，维度为(nx, ny, nz) + +% 计算每个网格的中心坐标 +x_center = zeros(nx, 1); +x_center(1) = dx(1)/2; +for i = 2:nx + x_center(i) = x_center(i-1) + (dx(i-1) + dx(i))/2; +end + +y_center = zeros(ny, 1); +y_center(1) = dy(1)/2; +for i = 2:ny + y_center(i) = y_center(i-1) + (dy(i-1) + dy(i))/2; +end + +z_center = zeros(nz, 1); +z_center(1) = dz(1)/2; +for i = 2:nz + z_center(i) = z_center(i-1) + (dz(i-1) + dz(i))/2; +end + +% 创建图形 +figure('Position', [100, 100, 1000, 800]); +hold on; + +% 设置颜色映射 +colormap jet; +caxis([min(data(:)), max(data(:))]); + +% 绘制每个体素 +alpha_val = 0.9; % 透明度 + +for i = 1:nx + for j = 1:ny + for k = 1:nz + % 绘制体素 - 传递当前网格的值 + voxel_fixed([x_center(i), y_center(j), z_center(k)], ... + [dx(i), dy(j), dz(k)], ... + data(i, j, k), alpha_val); + end + end +end + +% 设置图形属性 +colorbar; +xlabel('X'); +ylabel('Y'); +zlabel('Z'); +title('三维笛卡尔网格全充满物理量分布（体素法，单一颜色）'); +axis equal; +view(3); +grid on; +box on; + +% 光照设置 +lighting gouraud; +light('Position', [1 1 1], 'Style', 'infinite'); +light('Position', [-1 -1 -1], 'Style', 'infinite'); + +hold off; +end + +function voxel_fixed(center, size, value, alpha) +% 绘制单个体素的辅助函数（每个面使用相同颜色） +% center: [x, y, z] 中心坐标 +% size: [dx, dy, dz] 尺寸 +% value: 物理量值 +% alpha: 透明度 + +% 计算8个顶点 +x = center(1) + [-size(1)/2, size(1)/2]; +y = center(2) + [-size(2)/2, size(2)/2]; +z = center(3) + [-size(3)/2, size(3)/2]; + +% 创建8个顶点 +vertices = [x(1), y(1), z(1); + x(2), y(1), z(1); + x(2), y(2), z(1); + x(1), y(2), z(1); + x(1), y(1), z(2); + x(2), y(1), z(2); + x(2), y(2), z(2); + x(1), y(2), z(2)]; + +% 6个面的顶点索引 +faces = [1 2 3 4; + 5 6 7 8; + 1 2 6 5; + 2 3 7 6; + 3 4 8 7; + 4 1 5 8]; + +% 关键修改：使用 'flat' 并确保所有面使用相同的颜色值 +patch('Vertices', vertices, 'Faces', faces, ... + 'FaceColor', 'flat', ... % 'flat' 确保每个面单一颜色 + 'FaceVertexCData', value * ones(size(faces, 1), 1), ... % 所有面相同颜色 + 'CDataMapping', 'scaled', ... + 'FaceAlpha', alpha, ... + 'EdgeColor', 'none'); +end \ No newline at end of file diff --git a/post processor/plot_SP_DP.m b/post processor/plot_SP_DP.m new file mode 100644 index 0000000..7f63e8e --- /dev/null +++ b/post processor/plot_SP_DP.m @@ -0,0 +1,51 @@ +function plot_SP_DP(k, r) +coordinate=r.coordinates; +nodes=r.nodes; +nz=r.nz; +nx=r.nx; +ny=r.ny; +nmc = size(nodes,1); +% nel = size(nodes,2); +nel = 4; +v = r.sigma; +% if type == 1 +% % v = r.kx; +% v = OutputRs{i}.p; +% else +% v = 1-OutputRs{i}.sw;%Ͷ +% end +dis = zeros(nel, nx*ny); +x = zeros(nel, nx*ny); +y = zeros(nel, nx*ny); +for i = 1 :nx*ny + for j = 1 :nel + grid_numbering = i+(nz-k)*nx*ny; + x(j, i) = coordinate(nodes(grid_numbering,j), 1); + y(j, i) = coordinate(nodes(grid_numbering,j), 2); + if j == 3 + x(j, i) = coordinate(nodes(grid_numbering,4), 1); + y(j, i) = coordinate(nodes(grid_numbering,4), 2); + end + if j == 4 + x(j, i) = coordinate(nodes(grid_numbering,3), 1); + y(j, i) = coordinate(nodes(grid_numbering,3), 2); + end + dis(j, i) = v(grid_numbering); + end +end +% fill(x,y,dis,'EdgeAlpha',1); +figure('color','w'); +fill(x,y,dis,'EdgeColor','interp'); +xlabel('x, m','FontSize',14); +ylabel('y, m','FontSize',14); +ax = gca; +ax.FontSize = 14; +axis equal; +axis tight +% xlim([0,60]); +% ylim([0,60]); +% clim([10,15]); +colorbar +colormap jet +% fill(x,y,dis); +% axis off diff --git a/post processor/pre_plot/preplot_dis.m b/post processor/pre_plot/preplot_dis.m new file mode 100644 index 0000000..5609ee9 --- /dev/null +++ b/post processor/pre_plot/preplot_dis.m @@ -0,0 +1,40 @@ +function [ downgrid, frontgrid ,leftgrid, rightgrid, backgrid, upgrid ] = preplot_dis( r ) +%PREPLOT ˴ʾйش˺ժҪ +% ˴ʾϸ˵ +nx=r.nx; +ny=r.ny; +nz=r.nz; +downgrid=[]; +frontgrid=[]; +leftgrid=[]; +rightgrid=[]; +backgrid=[]; +upgrid=[]; +for k=1:nz + for j=1:ny + for i=1:nx + rao=i+(j-1)*nx+(k-1)*nx*ny; + if k==1 + downgrid=[downgrid rao]; + end + if k==nz + upgrid=[upgrid rao]; + end + if i==1 + leftgrid=[leftgrid rao]; + end + if i==nx + rightgrid=[rightgrid rao]; + end + if j==1 + frontgrid=[frontgrid rao]; + end + if j==ny + backgrid=[backgrid rao]; + end + end + end +end + +end + diff --git a/post processor/pre_plot/preplot_dislayer.m b/post processor/pre_plot/preplot_dislayer.m new file mode 100644 index 0000000..a78a754 --- /dev/null +++ b/post processor/pre_plot/preplot_dislayer.m @@ -0,0 +1,41 @@ +function [ downgrid, frontgrid ,leftgrid, rightgrid, backgrid, upgrid ] = preplot_dislayer( r,k ) +%PREPLOT ˴ʾйش˺ժҪ +% ˴ʾϸ˵ +% kʾIJ +nx=r.nx; +ny=r.ny; +nz=r.nz; +downgrid=[]; +frontgrid=[]; +leftgrid=[]; +rightgrid=[]; +backgrid=[]; +upgrid=[]; +xiang=nz+1-k; + for j=1:ny + for i=1:nx + rao=i+(j-1)*nx+(xiang-1)*nx*ny; + + downgrid=[downgrid rao]; + + + upgrid=[upgrid rao]; + + if i==1 + leftgrid=[leftgrid rao]; + end + if i==nx + rightgrid=[rightgrid rao]; + end + if j==1 + frontgrid=[frontgrid rao]; + end + if j==ny + backgrid=[backgrid rao]; + end + end + end + + +end + diff --git a/post processor/pre_plot/sort_fracture.m b/post processor/pre_plot/sort_fracture.m new file mode 100644 index 0000000..cb8c49f --- /dev/null +++ b/post processor/pre_plot/sort_fracture.m @@ -0,0 +1,27 @@ +function [ f,fellip ] = sort_fracture( inputf ) +nf=size(inputf,1); +f=[];fellip=[]; +for i=1:nf + ft1=inputf{i,1}; + alpha=inputf{i,2}/180*pi;beta=inputf{i,3}/180*pi;gama=inputf{i,4}/180*pi;%ǶתΪ + lf=inputf{i,5};hf=inputf{i,6}; + ft2=lf/2*[cos(alpha)*cos(gama)+sin(alpha)*cos(beta)*sin(gama),-cos(alpha)*cos(beta)*sin(gama)+sin(alpha)*cos(gama),... + sin(beta)*sin(gama)]; + ft3=hf/2*[sin(alpha)*cos(beta)*cos(gama)-cos(alpha)*sin(gama),-sin(alpha)*sin(gama)-cos(alpha)*cos(beta)*cos(gama),sin(beta)*cos(gama)]; + if inputf{i,7}==1 %η + ft4=[-1,1,0];ft5=[-1,1,0]; + f=[f;ft1;ft2;ft3;ft4;ft5]; + f(abs(f)<=1e-4)=0; + else %Բ + ft4=[0,0,1];ft5=[0,0,1]; + fellip=[fellip;ft1;ft2;ft3;ft4;ft5]; + fellip(abs(fellip)<=1e-4)=0; + end +end + + +end + + + + diff --git a/post processor/pre_plot/sort_fracture_project.m b/post processor/pre_plot/sort_fracture_project.m new file mode 100644 index 0000000..ace60dc --- /dev/null +++ b/post processor/pre_plot/sort_fracture_project.m @@ -0,0 +1,29 @@ +function [ f,fellip ] = sort_fracture_project( inputf ) +nf=size(inputf{1,1},1); +f=[];fellip=[]; +for i=1:nf + ft1=inputf{1,1}(i,:); +% alpha=inputf{i,2}/180*pi;beta=inputf{i,3}/180*pi;gama=inputf{i,4}/180*pi;%ǶתΪ +% lf=inputf{i,5};hf=inputf{i,6}; + alpha=90/180*pi;beta=90/180*pi;gama=0/180*pi;%ǶתΪ + lf=200;hf=5; + ft2=lf/2*[cos(alpha)*cos(gama)+sin(alpha)*cos(beta)*sin(gama),-cos(alpha)*cos(beta)*sin(gama)+sin(alpha)*cos(gama),... + sin(beta)*sin(gama)]; + ft3=hf/2*[sin(alpha)*cos(beta)*cos(gama)-cos(alpha)*sin(gama),-sin(alpha)*sin(gama)-cos(alpha)*cos(beta)*cos(gama),sin(beta)*cos(gama)]; +% if inputf{i,7}==1 %η + ft4=[-1,1,0];ft5=[-1,1,0]; + f=[f;ft1;ft2;ft3;ft4;ft5]; + f(abs(f)<=1e-4)=0; +% else %Բ +% ft4=[0,0,1];ft5=[0,0,1]; +% fellip=[fellip;ft1;ft2;ft3;ft4;ft5]; +% fellip(abs(fellip)<=1e-4)=0; +% end +end + + +end + + + + diff --git a/post processor/pre_plot/sort_input.m b/post processor/pre_plot/sort_input.m new file mode 100644 index 0000000..4441eb2 --- /dev/null +++ b/post processor/pre_plot/sort_input.m @@ -0,0 +1,22 @@ +function [ input_modi ] = sort_input( input,nx,ny,nz ) +input=reshape(input',[],1); +input(input==0)=0.0001; +% hei=length(input); +hei=nx*ny*nz; +input=input(1:hei,1); +input_modi=zeros(hei,1); +for i=1:hei + zz=floor((i-1)/(nx*ny)); + zzz=nz-zz; + yy=floor((i-zz*nx*ny-1)/nx); + yyy=ny-yy; +% yyy=yy+1; + xxx=mod(i-zz*nx*ny-1,nx); + if xxx==0 xxx=nx; + end + input_modi(xxx+(yyy-1)*nx+(zzz-1)*nx*ny,1)=input(i); +end + + + + diff --git a/post processor/untitled2.m b/post processor/untitled2.m new file mode 100644 index 0000000..aa3428e --- /dev/null +++ b/post processor/untitled2.m @@ -0,0 +1,11 @@ +% 加载生成的数据 +load('test_data.mat'); + +% 使用高斯分布数据绘制切片图 +plot_3d_grid_data_slice(nx, ny, nz, dx, dy, dz, data1); + +% 使用球壳分布数据绘制点云图 +plot_3d_grid_data_scatter(nx, ny, nz, dx, dy, dz, data2); + +% 使用波纹分布数据绘制体绘制图 +plot_3d_grid_data_volume(nx, ny, nz, dx, dy, dz, data3); \ No newline at end of file diff --git a/startup.m b/startup.m new file mode 100644 index 0000000..b8702bb --- /dev/null +++ b/startup.m @@ -0,0 +1 @@ + addpath(genpath(pwd)) \ No newline at end of file diff --git a/算例1-组分流-不规则非均质计算域/GridProp_pre.m b/算例1-组分流-不规则非均质计算域/GridProp_pre.m new file mode 100644 index 0000000..e7b75b1 --- /dev/null +++ b/算例1-组分流-不规则非均质计算域/GridProp_pre.m @@ -0,0 +1,115 @@ +function [r] = GridProp_pre(dx, dy,dz,nx,ny,nz,NTG) +% coordinates xy cordinate，即每个节点的x,y坐标 +% nodes connection，即每个子区域对应的八个节点数 +% nP numbers of point，即节点数量 +% nE numbers of element，即子区域数量 +nP = (nx + 1) * (ny + 1)*(nz+1);%计算节点数量 +nE = nx * ny*nz;%子区域数量计算 +% dx=dx*ones(nx,1);%此处是为了暂时妥协 +% dy=dy*ones(nx,1); +% dz=dz*ones(nx,1); +dxv = zeros(nE, 1);%每个子区域x方向上尺寸矩阵 +dyv = zeros(nE, 1);%每个子区域y方向上尺寸矩阵 +dzv = zeros(nE, 1); +zm=zeros(nE, 1);%基质网格计算深度（以下平面为基准计算得到的高度，值为正数） +xm=zeros(nE, 1); +ym=zeros(nE, 1); +%给每个子区域的x方向和y方向赋尺寸 +vm=zeros(nE, 1);%基质网格体积 +for k=1:nz + for i = 1 : nx + for j = 1 : ny + dxv(i+(j-1)*nx+nx*ny*(k-1)) = dx(i); + dyv(i+(j-1)*nx+nx*ny*(k-1)) = dy(j); + dzv(i+(j-1)*nx+nx*ny*(k-1))= dz(k); + vm(i+(j-1)*nx+nx*ny*(k-1))=dx(i)*dy(j)*dz(k)*NTG(i+(j-1)*nx+nx*ny*(k-1)); + end + end +end +coordinates = zeros(nP, 3);%初始化每个节点的x,y坐标矩阵 +nodes = zeros(nE, 8);%初始化每个子区域对应的八个节点数的矩阵 +%计算每个节点的坐标 +x0 = zeros(nx+1,1); +y0 = zeros(ny+1,1); +z0=zeros(nz+1,1); +sumx = 0; +sumy = 0; +sumz=0; +for i = 1 : nx + sumx = sumx+dx(i); + x0(i+1) = sumx; +end +for i = 1 : ny + sumy = sumy+dy(i); + y0(i+1) = sumy; +end +for i = 1 : nz + sumz = sumz+dz(i); + z0(i+1) = sumz; +end +for k=1:nz+1 +for j = 1 : ny + 1 + for i = 1 : nx + 1 + coordinates(i + (j - 1) * (nx + 1)+(nx+1)*(ny+1)*(k-1), 1) = x0(i);%(i,j）节点的x坐标赋值 + coordinates(i + (j - 1) * (nx + 1)+(nx+1)*(ny+1)*(k-1), 2) = y0(j);%(i,j）节点的y坐标赋值 + coordinates(i + (j - 1) * (nx + 1)+(nx+1)*(ny+1)*(k-1), 3) = z0(k); + end +end +end +%计算每个子区域的八个顶点(节点）对应的节点编号 +for k=1:nz +for j = 1 : ny + for i = 1 : nx + nodes(i + (j - 1) * nx+nx*ny*(k-1), 1) = i + (j - 1) * (nx + 1)+(k-1)*(nx+1)*(ny+1); + nodes(i + (j - 1) * nx+nx*ny*(k-1), 2) = nodes(i + (j - 1) * nx+nx*ny*(k-1), 1) + 1; + nodes(i + (j - 1) * nx+nx*ny*(k-1), 3) = nodes(i + (j - 1) * nx+nx*ny*(k-1), 1) + nx + 1; + nodes(i + (j - 1) * nx+nx*ny*(k-1), 4) = nodes(i + (j - 1) * nx+nx*ny*(k-1), 1) + nx + 2; + nodes(i + (j - 1) * nx+nx*ny*(k-1), 5) = nodes(i + (j - 1) * nx+nx*ny*(k-1), 1)+(nx+1)*(ny+1); + nodes(i + (j - 1) * nx+nx*ny*(k-1), 6) = nodes(i + (j - 1) * nx+nx*ny*(k-1), 5) + 1; + nodes(i + (j - 1) * nx+nx*ny*(k-1), 7) = nodes(i + (j - 1) * nx+nx*ny*(k-1), 5) + nx + 1; + nodes(i + (j - 1) * nx+nx*ny*(k-1), 8) = nodes(i + (j - 1) * nx+nx*ny*(k-1), 5) + nx + 2; + zm(i+(j-1)*nx+nx*ny*(k-1))=sum(coordinates(nodes(i + (j - 1) * nx+nx*ny*(k-1), :),3))/8; + xm(i+(j-1)*nx+nx*ny*(k-1))=sum(coordinates(nodes(i + (j - 1) * nx+nx*ny*(k-1), :),1))/8; + ym(i+(j-1)*nx+nx*ny*(k-1))=sum(coordinates(nodes(i + (j - 1) * nx+nx*ny*(k-1), :),2))/8; + end +end +end + +cell_mid_coordinates = [xm,ym,zm]; + +xrao=[0]; +for i=1:nx + xxiang=sum(dx(1,1:i)); + xrao=[xrao xxiang]; +end +yrao=[0]; +for i=1:ny + yxiang=sum(dy(1,1:i)); + yrao=[yrao yxiang]; +end +zrao=[0]; +for i=1:nz + zxiang=sum(dz(1,1:i)); + zrao=[zrao zxiang]; +end +r.dx = dx; +r.dy = dy; +r.dz = dz; +r.nx = nx; +r.ny = ny; +r.nz = nz; +r.coordinates = coordinates; +r.nodes = nodes; +r.nP = nP; +r.nmc = nE; +r.dxv = dxv; +r.dyv = dyv; +r.dzv = dzv; +r.zm = zm; +r.vm = vm; +r.xrao = xrao; +r.yrao = yrao; +r.zrao = zrao; +r.cell_mid_coords = cell_mid_coordinates; +r.NTG = NTG; +end \ No newline at end of file diff --git a/算例1-组分流-不规则非均质计算域/grid_discretization_SP_model.m b/算例1-组分流-不规则非均质计算域/grid_discretization_SP_model.m new file mode 100644 index 0000000..5333e3e --- /dev/null +++ b/算例1-组分流-不规则非均质计算域/grid_discretization_SP_model.m @@ -0,0 +1,70 @@ +function r = grid_discretization_SP_model(modelflag, r, f, frac_information, fellip, nf) +% 数据读取 +nx = r.nx; ny = r.ny; nz = r.nz; NTG = r.NTG; cell_mid_coords = r.cell_mid_coords; +% 不规则边界设定 +boundary = [0,100; + 800,50; + 1000,150; + 1000,350; + 800,450; + 0,400; + 0,100]; +% 将不在边界内的网格的valid值赋为0 +valid_grids = ones(nx*ny*nz); +in = inpolygon(cell_mid_coords(:,1),cell_mid_coords(:,2),boundary(:,1),boundary(:,2)); +valid_grids(~in) = 0; +invalid_layer = []; % +if ~isempty(invalid_layer) + for i = 1:length(invalid_layer) + grid_numbering_range = ((invalid_layer(i)-1)*nx*ny+1:invalid_layer(i)*nx*ny)'; + valid_grids(grid_numbering_range,1) = 0; + end +end +% 举例，给出渗透率函数形式 k(x,y) = (x/500+y/250+1)*1e-3 D，或者通过已知点插值计算等，都行 +kx = (cell_mid_coords(:,1)/500+cell_mid_coords(:,2)/250+1)*1e-3; +ky = kx; +kz = kx; +% 举例，给出孔隙度函数形式 phi(x,y) = (x/20000+y/10000+0.1)，或者通过已知点插值计算等，都行 +pori = (cell_mid_coords(:,1)/20000+cell_mid_coords(:,2)/10000+0.1); +% +prpor = 20; % 参考压力，MPa +cpor = 1.0e-5;% 基质压缩系数，MPa +rock_density = 2700; % 岩石密度，kg/m^3 + +% SRV区域定义 +% % % base_x=23:78; nx_SRV=length(base_x); +% % % base_y=15:36; ny_SRV=length(base_y); +% % % base_z=1:1;nz_SRV=length(base_z); +% % % SRV=[]; +% % % for k=1:nz_SRV +% % % for j=1:ny_SRV +% % % for i=1:nx_SRV +% % % SRV=[SRV;(base_z(k)-1)*nx*ny+(base_y(j)-1)*nx+base_x(i)]; +% % % end +% % % end +% % % end +% % % % SRV渗透率赋值 +% % % kx(SRV)=0.001*1e-3 * ones(length(SRV), 1); +% % % ky(SRV)=0.001*1e-3 * ones(length(SRV), 1); +% % % kz(SRV)=0.001*1e-3 * ones(length(SRV), 1); +% 裂缝孔渗 +Kf = 10000*1e-3*ones(1,nf);% 裂缝渗透率 +Wf = 1e-2*ones(1,nf);% 裂缝开度 +Porf = 0.30*ones(1,nf);% 裂缝孔隙度 +prporf = 20;% 裂缝系统参考压力 +cporf = 1.0e-5;% 裂缝系统压缩系数 +% 应力敏感系数 +stress_factor_fracture = 0.000; % 1/MPa 0.001 +stress_factor_matrix = 0.000; % 1/MPa +stress_factor_ref_pressure = 20; % 一般取为原始地层压力 +% +Rpt = 2;cf = 1;ca = 1; +%% 结合基质、裂缝的几何及物性信息开展前处理 +% r = GridProp(modelflag, nx, ny, nz, dx, dy, dz, kx, ky, kz, f, fellip, Kf, Wf, pori, prpor, cpor, Porf, prporf, cporf, cf, ca,co, NTG); +r = GridProp_new(modelflag, r, kx, ky, kz, f, frac_information, fellip, Kf, Wf, pori, prpor, cpor, Porf, prporf, cporf, cf, ca,valid_grids); +r.rock_density = rock_density; +r.valid_grids = valid_grids; +r.stress_factor_fracture = stress_factor_fracture; +r.stress_factor_matrix = stress_factor_matrix; +r.stress_factor_ref_pressure = stress_factor_ref_pressure; +end \ No newline at end of file diff --git a/算例1-组分流-不规则非均质计算域/main1.m b/算例1-组分流-不规则非均质计算域/main1.m new file mode 100644 index 0000000..e6cd6e4 --- /dev/null +++ b/算例1-组分流-不规则非均质计算域/main1.m @@ -0,0 +1,222 @@ +function [ r, Times, OutputRs, Wellpara, trun ] = main1() +%% ==================================PART 1: 模型选取======================================== +% 1-- classical EDFM +modelflag = 1;% 此处固定为1即可 +%% ==================================PART 2: 基质网格定义===================================== +dx=[10*ones(1,100) ];nx=size(dx,2); +dy=[10*ones(1,50) ];ny=size(dy,2); +dz=[10*ones(1,1)];nz=size(dz,2); +NTG= 1*ones(nx*ny*nz,1); +r = GridProp_pre(dx, dy,dz,nx,ny,nz,NTG); +%% ==================================PART 3: 裂缝分布数据输入===================================== +% 四种输入方式: 1表示工程应用输入；2表示向量输入；3表示工程应用输入，包括基准点、倾角、方位角、抬升角；4表示从.fab文件读取 +input_style = 1; +%% 输入方式1：工程应用输入 +%仅能刻画具有双对称性质的矩形缝或椭圆缝 +% 基准点坐标（1），方位角（2），倾角（3），抬升角（4），缝长（椭圆长轴长）（5），缝高（椭圆短轴长）（6），类型1是矩形缝、2是椭圆缝（7） +if input_style==1 +input_content={ + [255,255,5],90,90,0,200,10,1; + [305,255,5],90,90,0,200,10,1; + [355,255,5],90,90,0,200,10,1; + [405,255,5],90,90,0,200,10,1; + [455,255,5],90,90,0,200,10,1; + [505,255,5],90,90,0,200,10,1; + [555,255,5],90,90,0,200,10,1; + [605,255,5],90,90,0,200,10,1; + [655,255,5],90,90,0,200,10,1; + [705,255,5],90,90,0,200,10,1; + [755,255,5],90,90,0,200,10,1; + }; +[f,fellip] = sort_fracture(input_content); +flowBarrierFlags = []; +m=size(f,1);n=size(fellip,1);nf=(m+n)/5; +frac_information = fractureInformation_input_engineering_vector(f,fellip,flowBarrierFlags); +end +%% 输入方式2：向量输入 +%首先对矩形缝进行研究，裂缝参数包括三个向量和两个参数的取值范围，如果是其它类型缝，则是两个参数间的函数关系 +%因此一个5行三列的矩阵可以确定一条裂缝 +%向量分量可为非整数，以此保证参数范围的取值为整数即可， +%故可先随意确定为整数的参数范围，再根据缝长缝高去确定向量分量的取值 +% 矩形缝 +if input_style==2 + f=[ + 0,1200,0;10,-20,0;0,0,10;0,60,0;0,3,0; + 0,1200,0;10,20,0;0,0,10;0,15,0;0,3,0; + 150,1500,0;20,-10,0;0,0,10;0,20,0;0,3,0; + 550,1300,0;10,10,0;0,0,10;0,10,0;0,3,0; + 650,1400,0;10,-20,0;0,0,10;0,55,0;0,3,0; + 605,705,0;10,0,0;0,0,10;-20,20,0;0,3,0; + ]; +% 椭圆缝 +% fellip=[320,210,10;10,2,0;0,0,2;0,0,8;0,0,5; +% 280,300,10;10,2,0;0,0,2;0,0,10;0,0,4;]; +% 300,205,10;10,0,0;0,0,2;0,0,10;0,0,5]; +fellip=[]; +m=size(f,1);n=size(fellip,1);nf=(m+n)/5;%裂缝条数 +frac_information = fractureInformation_input_engineering_vector(f,fellip); +end +%% 输入方式3：二维输入 +% load('fractures_generated.mat'); +% fractureLines = fractures_generated; +if input_style==3 +fractureLines = [ + 105,150;105,350; + 205,150;205,350; + 305,150;305,350; + 405,150;405,350; + 505,150;505,350; + 605,150;605,350; + 705,150;705,350; + 805,150;805,350; + 905,150;905,350; + ]; +fellip=[]; % 椭圆缝 +fractureHeights = [ + 10;10;10;10;10;10;10;10;10]; +% 椭圆缝 +fellip=[]; +flowBarrierFlags = [];% flowBarrierFlags = [1;2;3;4]; +[f,frac_information] = input_fracture_2D(fractureLines,fractureHeights,flowBarrierFlags); +m=size(f,1);n=size(fellip,1);nf=(m+n)/5;%裂缝条数 +end +%% 输入方式4：从.fab文件读取 Frac_PT +if input_style==4 + +end + +%% ==================================PART 4: 基质网格及裂缝物性参数输入===================================== +% 1-- 单重介质 +% 2-- 双重介质（双孔双渗） +grid_model = 1; +if grid_model == 1 +r = grid_discretization_SP_model(modelflag, r, f, frac_information, fellip, nf); +end +if grid_model == 2 +r = grid_discretization_DP_model(modelflag, r, f, frac_information, fellip, nf); +end + +%% 生成向量化变成所需要的算子 +os = OperatorRS(r.N, r.nex, r.nc); + +%% ==================================PART 5: 模型类型选取及初始状态设定========================================= +% 1-- 气水两相流 +% 2-- 油水两相流 +flow_model = 3; +if flow_model == 1 +[f,state0] = gas_water_flow(r); +end +if flow_model == 2 +[f,state0] = oil_water_flow(r); +end +if flow_model == 3 +[f,state0] = multi_component_flow(r); +end + +%% ==================================PART 6: 井制度schedule设定================================================ +%将直井、水平井与多段压裂水平井分开处理 +%% 直井、常规水平井定义 +% Wellcpara: wellname(1) nperf，射孔点数量(2) index(3) rw(4) skin(5) welltype(6) +% welltype=1 直井，welltype=2 水平井沿x方向，welltype=3 水平井沿y方向 welltype=4 多段压裂水平井 +% 直井、水平井，该种井型的处理是将射孔段安排在基质网格 +% 对于直井、斜井、水平井，采取与eclipse一致的方式，给出其在基质网格中位置 +% 每个射孔点由下px,py,pz确定，分别表示该射孔点在x方向，y方向的网格编号，及层数即z反方向上的网格编号（最初是以垂直向上建立的基质网格） +well1={ + % 'w1', 2, [20 10 1;20 10 2;], 0.178/2, 0, 1; + % 'w2', 2, [80 10 1;80 10 2;], 0.178/2, 0, 1; + % 'w3', 1, [20 40 1;], 0.178/2, 0, 1; + % 'w4', 1, [80 40 1;], 0.178/2, 0, 1; +% 'w2', 3, [67 20 1;67 20 2;67 20 3], 0.178/2, 0, 1; + }; +well1 = handle_well1(well1,r); +%% 压裂水平井定义 +% 多段压裂水平井：射孔段设置在裂缝单元上，可以给出该射孔点所在的坐标，然后去寻找该点所在的裂缝单元编号 +num_fracture_wells = 1; +welloc = cell(num_fracture_wells,1); +perfnum = cell(num_fracture_wells,1); +welloc{1,1}=[ + 255,255,5; + 305,255,5; + 355,255,5; + 405,255,5; + 455,255,5; + 505,255,5; + 555,255,5; + 605,255,5; + 655,255,5; + 705,255,5; + 755,255,5; + ]; +for i = 1:num_fracture_wells +perfnum{i,1} = findWelloc(r, welloc{i,1});%在用以Wellc0之中 +end +% perfnum2 = findWelloc(r, welloc2); +well2={ + 'w1', length(perfnum{1,1}), perfnum{1,1}, 0.178/2, 0,4; + }; +Wellc = handle_well1_well2(well1,well2,welloc,r); %加井和射孔位置 +%% 井制度设置（开关井、定压/定产、便于吞吐等） +number_phases = 3; +well_schedules = cell(number_phases,1); +time = zeros(number_phases,1); +% 不同方式对应的收敛难度、需要不一样，需分阶段调控， +% 例如在注入阶段需要小一些，如果需要做早期试井，dtmax、dtmin都需要小一些 +dtmax = zeros(number_phases,1); +dtmin = zeros(number_phases,1); + +% (1)well state: 'open'表示该井是开的；'close'表明该井一直是关的，如果只是阶段性关井，就用'open'定流量0生产 +% (2)well type: 'pro'表示是生产井；'inj'表示是注入井; +% (3)protype：'const_q'是定流量；'const_pwf'则是定压 +% (4)value：定的流量值或者井底压力值 +% (5)value：此代码该值与（3）值相同 +% (8)value：注入表活剂的浓度 kg/m3 +% (10)value：注入水/压裂液的盐浓度（矿化度），一般是 1kg/m3 +time(1) = 10; dtmax(1) = 0.1; dtmin(1) = 0.001; +well_schedules{1,1} = { + % 'w1','open','inj','const_pwf',30,30; + % 'w2','open','inj','const_pwf',30,30; + % 'w3','open','inj','const_pwf',30,30; + % 'w4','open','inj','const_pwf',30,30; + 'w1','open','inj','const_pwf',40,40,'Cs_inj',0.5,'Cb_inj',1}; +time(2) = 30; dtmax(2) = 0.5; dtmin(2) = 0.001; +well_schedules{2,1} = { + 'w1','open','pro','const_q',0,0; + % 'w1','open','pro','const_pwf',10,10; + % 'w2','open','pro','const_q',0,0; + }; +time(3) = 200; dtmax(3) = 0.5; dtmin(3) = 0.001; +well_schedules{3,1} = { + 'w1','open','pro','const_pwf',10,10; + % 'w2','open','pro','const_pwf',10,10; + }; +% time(1) = 200; +% well_schedules{1,1} = { +% 'w1','open','pro','const_pwf',10,10; +% % 'w2','open','pro','const_pwf',10,10; +% }; +% time(4) = 200; +% well_schedules{4,1} = {'w1','open','inj','const_pwf',30,30; +% 'w2','open','pro','const_pwf',10,10;}; +% time(5) = 200; +% well_schedules{5,1} = {'w1','open','inj','const_pwf',30,30; +% 'w2','open','pro','const_pwf',10,10;}; +% time(6) = 200; +% well_schedules{6,1} = {'w1','open','inj','const_pwf',30,30; +% 'w2','open','pro','const_pwf',10,10;}; + +%% ======================================PART 7: Solver设置=========================================== +yitap = 5; % 50-500psi +yitas = 0.04; % 0.05-0.5 +omega = 0.5; % 0-1 +Nmax = 50; +epsave = 1e-6; +epsmax = 1e-6; +% dtmin = 0.001; +% dtmax = 10; +% dtmin = 0.000001; +% dtmax = 0.0001; +%% ======================================PART 8: 正式计算=========================================== +[Times, OutputRs, Wellpara, trun] = solver_NR(r, flow_model, f, os, state0, yitap,yitas,omega,Nmax,epsave,epsmax,dtmin,dtmax,Wellc,time,well_schedules); +run_time=toc; +trun.run_time=run_time; +end \ No newline at end of file diff --git a/算例1-组分流-不规则非均质计算域/multi_component_flow.m b/算例1-组分流-不规则非均质计算域/multi_component_flow.m new file mode 100644 index 0000000..94eb4b0 --- /dev/null +++ b/算例1-组分流-不规则非均质计算域/multi_component_flow.m @@ -0,0 +1,232 @@ +function [f,state0] = multi_component_flow(r) +%% 流体性质参数 +%% 水相中的表活剂、盐的扩散系数 +Ds = 0.76*1e-9; % m2/s +Db = 2.2*1e-9; % m2/s +%% 表活剂、盐在岩石表面的吸附浓度与水相浓度的关系表，第一列单位是kg/m3, 第二列和第三列单位是g/kg +c_ca_table = [ +0 0 0 +0.05 1 0.075 +0.1 1.75 0.125 +0.2 3 0.2 +0.5 4.35 0.325 +1 4.55 0.365 +]; +cs_data = c_ca_table(:,1); +cb_data = c_ca_table(:,1); +csa_data = c_ca_table(:,2)*1e-3; % 转换为 kg/kg +cba_data = c_ca_table(:,3)*1e-3; % 转换为 kg/kg +%% 化学势（压裂液与地层水的盐度差异给水相带来的额外压差） +R = 0.008314; % kJ/(mol*K) +Vm = 18.02*1e-6; % 水的偏摩尔体积，m^3/mol +Temperature = 293.15; % 温度，K +chemistry_cof = R*Temperature/Vm*1e-3/10; +%% 动态相渗（凸显出表活剂对相渗的影响） +% 原本应先得到表活剂浓度与表面张力的关系，再结合渗流速度计算出个表面张力对应的毛管数， +% 为了简便代码编写，此处忽略渗流速度的影响， +% 并增强代码通用性，此处改为输入表活剂浓度与毛管数的对应表格， +% 第一列为表活剂浓度，第二列为相应的毛管数,，第三列是相应的表面张力 +% dynamic_kr = 1; +cs_Nc = [ +0 1.6*1e-6 30 +0.1 9.5*1e-6 10 +0.2 2.5*1e-5 4 +0.5 5.8*1e-5 1.4 +1 8.2*1e-5 1 +2 8.8*1e-5 0.75 +]; +Nc_nosurf = min(cs_Nc(:,2)); +Nc_surf = max(cs_Nc(:,2)); + +kr_nosurf = [ +0 0 0.64 +0.25 0 0.64 +0.30 0.072 0.6 +0.40 0.14 0.56 +0.50 0.26 0.48 +0.60 0.4 0.38 +0.70 0.56 0.26 +0.85 0.88 0 +1 0.88 0 + ]; + +kr_surf = [ +0 0 0.6 +0.18 0 0.6 +0.25 0.056 0.56 +0.30 0.1 0.52 +0.40 0.19 0.42 +0.50 0.29 0.3 +0.60 0.37 0.19 +0.75 0.46 0 +1 0.46 0 + ]; + +PC = [ +0 3.8916 +0.2 3.8916 +0.316 0.5796 +0.435 0.3724 +0.562 0.2425 +0.614 0.0608 +0.702 0.0372 +0.812 0.0137 +0.875 0.0104 +0.906 0.009 +0.937 0.0075 +0.969 0.0059 +1 0 +]; +cs_Nc_fracture = cs_Nc; +kr_nosurf_fracture = kr_nosurf; +kr_surf_fracture = kr_surf; +PC_fracture = PC; +ifpcgl = 0; % 是否考虑毛管力 +%% 启动压力梯度 +p_grad_threshold = 0.00; % MPa/m +%% ================气相Langmuir等温吸附模型，当 VL=0，亦可用于油相=============== +% VE = VL*P/(PL+P) +gas_prop.VL = 0.0; % Langmuir volume, m^3/kg +gas_prop.PL = 3.5; % Langmuir pressure, MPa +% Psc = 1; +% Zsc = 1; +% density_rock = 2000; % +% ===================== Knudsen 扩散系数，当 Kn=0，亦可用于油相 ==================== +gas_prop.Kn = 0; % Knudsen数 +c1 =1; c2 =8/9; +gas_prop.Kn_modified_factor = 1+8*c1*gas_prop.Kn+16*c2*gas_prop.Kn^2; +% ===================== 高速非达西流 Forchheimer 方程 ==================== +gas_prop.beta_non_Darcy_flow = 0; % 1e-8 +% =======================气相体积系数、粘度=============================== +density_g_sc = 800; +% 第一种模式，直接输入参考压力、体积系数、压缩系数、粘度 +gas_model =1; +if gas_model == 1 +prg = 20; % reference pressure, MPa +Bgi = 1; % gas phase volume factor +cg = 5e-4 ;% gas phase compressibility, 1/MPa +vgi = 6; % gas viscosity, cp +cvg = 0; +[Ppr,BG,MUG] = cal_gas_prop(prg,Bgi,cg,vgi,cvg); +end +if gas_model == 2 +Ppr = [ 0.1013 + 2.0946 + 4.0878 + 6.0811 + 8.0743 + 10.0676 + 12.0608 + 14.0540 + 16.0473 + 18.0405 + 20.0338 + 22.0270 + 24.0203 + 26.0135 + 28.0068 + 30.0000 + ]; +% BG = 0.01*ones(size(Ppr,1),1); +BG = [ 1.18297 + 0.0557041 + 0.0278168 + 0.0182594 + 0.0134665 + 0.0106154 + 0.00874829 + 0.00744907 + 0.00650639 + 0.0058006 + 0.0052587 + 0.0048336 + 0.00449378 + 0.00421751 + 0.0039895 + 0.00379871 + ]; +% MUG = 0.01*ones(size(Ppr,1),1); +MUG = [0.0127683 + 0.0130191 + 0.0133973 + 0.013872 + 0.014437 + 0.015088 + 0.0158182 + 0.0166173 + 0.0174719 + 0.0183671 + 0.0192882 + 0.0202219 + 0.0211575 + 0.0220865 + 0.0230024 + 0.0239008 + ]; +end +% ========================水相体积系数、粘度=============================== +density_w_sc = 1000; +prw = 20; % reference pressure +Bwi = 1.000; % water phase volume factor +cw = 4.0e-4 ;% water phase compressibility +vwi = 1; % viscosity +cvw = 0; +% =============================基质相渗=============================== +% ifpcgl = 0; % 是否考虑毛管力 +% RPGW=[ +% 0.0000 0.0000 1.0000 3.8916 +% 0.2000 0.0000 1.0000 3.8916 +% 0.3160 0.0002 0.6784 0.5796 +% 0.4350 0.0004 0.6215 0.3724 +% 0.5620 0.0010 0.5456 0.2425 +% 0.6140 0.0020 0.3939 0.0608 +% 0.7020 0.0280 0.1399 0.0372 +% 0.8120 0.1721 0.0515 0.0137 +% 0.8750 0.3395 0.0297 0.0104 +% 0.9060 0.4395 0.0226 0.0090 +% 0.9370 0.5500 0.0173 0.0075 +% 0.9690 0.6702 0.0131 0.0059 +% 1.0 1.0000 0.0000 0.0000 +% ]; +% SW=RPGW(:,1);KRW=RPGW(:,2);KRG=RPGW(:,3);PCGL=RPGW(:,4); +% +% % =============================裂缝相渗=============================== +% PRF=[ +% 0.0000 0.0000 1.0000 3.8916 +% 0.2000 0.0000 1.0000 3.8916 +% 0.3160 0.0002 0.6784 0.5796 +% 0.4350 0.0004 0.6215 0.3724 +% 0.5620 0.0010 0.5456 0.2425 +% 0.6140 0.0020 0.3939 0.0608 +% 0.7020 0.0280 0.1399 0.0372 +% 0.8120 0.1721 0.0515 0.0137 +% 0.8750 0.3395 0.0297 0.0104 +% 0.9060 0.4395 0.0226 0.0090 +% 0.9370 0.5500 0.0173 0.0075 +% 1.0 1.0000 0.0000 0.0000 +% ]; +% SWF = PRF(:,1);KRWF = PRF(:,2);KRGF = PRF(:,3);PCGLF=PRF(:,4); + +%% 结合流体性质参数生成相应的数据体 +% f = fluidPVT(Ppr, BG, MUG, Bwi, prw, cw, vwi, cvw, SW, KRG, KRW, PCGL, SWF, KRGF, KRWF, PCGLF, density_g_sc, ifpcgl, r.rpt, cs_data, csa_data, cb_data, cba_data, cs_Nc, kr_nosurf, kr_surf); +f = fluidPVT_new(Ppr, BG, MUG, Bwi, prw, cw, vwi, cvw, ifpcgl, r.rpt, cs_data, csa_data, cb_data, cba_data, cs_Nc, Nc_nosurf, Nc_surf, kr_nosurf, kr_surf, PC, cs_Nc_fracture, kr_nosurf_fracture, kr_surf_fracture, PC_fracture); +f.Dwsi = density_w_sc; +f.Dgsi = density_g_sc; +f.gas_prop = gas_prop; +f.Ds = Ds; +f.Db = Db; +f.chemistry_cof = chemistry_cof; +f.p_grad_threshold = p_grad_threshold; +%% 初值条件 Initial Condition Section +% =================压力、饱和度初值======================================= % +%压力初值要考虑重力，给出油藏下表面压力值 +P = [20 * ones(r.nmc, 1); 20 * ones(r.nfc, 1)]; +% plow=25; % P =plow-1e-6*800*9.8*r.z; +Sw = [0.2 * ones(r.nmc, 1); 0.2 * ones(r.nfc, 1)]; +Cs = [0.0 * ones(r.nmc, 1); 0.0 * ones(r.nfc, 1)];% kg/m3 +Cb = [50.0 * ones(r.nmc, 1); 50.0 * ones(r.nfc, 1)];% kg/m3 +% 油藏地层水矿化度一般为 50 kg/m3，注入水、压裂液的矿化度一般为 1 kg/m3 +number_state_variables = 4; +f.number_state_variables = number_state_variables; +state0 = initialRS(P, Sw, Cs, Cb); +end \ No newline at end of file diff --git a/算例1-组分流-不规则非均质计算域/perm.fig b/算例1-组分流-不规则非均质计算域/perm.fig new file mode 100644 index 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zJ8j-KHl^+`m-NENcRCJRUVO37P!r$DKf#PzZUu}x^-3`q<~R48d0w+BqJ0SY1VT6Y WaXIOBR4}?ZU6zWfBKNM}CH#LGa2qTD literal 0 HcmV?d00001 diff --git a/算例1-组分流-不规则非均质计算域/plotWellResponse.m b/算例1-组分流-不规则非均质计算域/plotWellResponse.m new file mode 100644 index 0000000..b3bcc97 --- /dev/null +++ b/算例1-组分流-不规则非均质计算域/plotWellResponse.m @@ -0,0 +1,55 @@ +function [] = plotWellResponse(Times,Wellpara) +% +wellNumber = 1; % +dataType = 'dPWF'; % ͣٶ GPRٶ OPR, ˮٶ WPRѹ BHPѹ dPWF +% +t = Times; +n= size(Times,1); +% para = cell2mat(Wellpara); +nw = wellNumber;%ѡ +% n = length(para); +data = zeros(n,1); +if strcmp(dataType, 'GPR') + for i = 1 : n + data(i) = Wellpara{i}{1,nw}.qg; + figureYlegend = 'Gas production rate, m^3/d'; + end + plot(t,data,'k^-');hold off; xlabel('Time, day');ylabel(figureYlegend); +end +if strcmp(dataType, 'OPR') + for i = 1 : n + data(i) = Wellpara{i}{1,nw}.qo; + figureYlegend = 'Oil production rate, m^3/d'; + end + plot(t,data,'k^-');hold off; xlabel('Time, day');ylabel(figureYlegend); +end +if strcmp(dataType, 'WPR') + for i = 1 : n + data(i) = Wellpara{i}{1,nw}.qw; + figureYlegend = 'Water production rate, m^3/d'; + end + plot(t,data,'k^-');hold off; xlabel('Time, day');ylabel(figureYlegend); +end +if strcmp(dataType, 'BHP') + for i = 1 : n + data(i) = Wellpara{i}{1,nw}.pwf; + figureYlegend = 'BHP, MPa'; + end + plot(t,data,'k^-');hold off; xlabel('Time, day');ylabel(figureYlegend); +end +if strcmp(dataType, 'dPWF') % dpwf/dlnt = t*dpwf/dt + for i = 1 : n + if i == 1 + data(i) = (Wellpara{i+1}{1,nw}.pwf-Wellpara{i}{1,nw}.pwf)/(log(t(i+1))-log(t(i))); + elseif i == n + data(i) = (Wellpara{i}{1,nw}.pwf-Wellpara{i-1}{1,nw}.pwf)/(log(t(i))-log(t(i-1))); + else + data(i) = (Wellpara{i+1}{1,nw}.pwf-Wellpara{i-1}{1,nw}.pwf)/(log(t(i+1))-log(t(i-1))); + end + figureYlegend = 'Pressure derivative, MPa'; + end + plot(t,data,'k^-');hold off; xlabel('Time, day');ylabel(figureYlegend); + set(gca, 'XScale', 'log'); + set(gca, 'YScale', 'log'); +end +end \ No newline at end of file diff --git a/算例1-组分流-不规则非均质计算域/plot_2D_layer.m b/算例1-组分流-不规则非均质计算域/plot_2D_layer.m new file mode 100644 index 0000000..0d45394 --- /dev/null +++ b/算例1-组分流-不规则非均质计算域/plot_2D_layer.m @@ -0,0 +1,50 @@ +function plot_2D_layer(i, k, r, OutputRs, type) +coordinate=r.coordinates; +nodes=r.nodes; +nz=r.nz; +nx=r.nx; +ny=r.ny; +nmc = size(nodes,1); +% nel = size(nodes,2); +nel = 4; +if type == 1 +% v = r.kx; + v = OutputRs{i}.p; +else + v = 1-OutputRs{i}.sw;%Ͷ +end +dis = zeros(nel, nx*ny); +x = zeros(nel, nx*ny); +y = zeros(nel, nx*ny); +for i = 1 :nx*ny + for j = 1 :nel + grid_numbering = i+(nz-k)*nx*ny; + x(j, i) = coordinate(nodes(grid_numbering,j), 1); + y(j, i) = coordinate(nodes(grid_numbering,j), 2); + if j == 3 + x(j, i) = coordinate(nodes(grid_numbering,4), 1); + y(j, i) = coordinate(nodes(grid_numbering,4), 2); + end + if j == 4 + x(j, i) = coordinate(nodes(grid_numbering,3), 1); + y(j, i) = coordinate(nodes(grid_numbering,3), 2); + end + dis(j, i) = v(grid_numbering); + end +end +% fill(x,y,dis,'EdgeAlpha',1); +figure('color','w'); +fill(x,y,dis,'EdgeColor','interp'); +xlabel('x, m','FontSize',14); +ylabel('y, m','FontSize',14); +ax = gca; +ax.FontSize = 14; +axis equal; +axis tight +% xlim([0,60]); +% ylim([0,60]); +% clim([10,15]); +colorbar +colormap jet +% fill(x,y,dis); +% axis off diff --git a/算例1-组分流-不规则非均质计算域/plot_3D_dis.m b/算例1-组分流-不规则非均质计算域/plot_3D_dis.m new file mode 100644 index 0000000..6674f45 --- /dev/null +++ b/算例1-组分流-不规则非均质计算域/plot_3D_dis.m @@ -0,0 +1,144 @@ +function plot_3D_dis(i, r,OutputRs, type) +%Ϊͼǰ +figure('color','w') +[ downgrid, frontgrid ,leftgrid, rightgrid, backgrid, upgrid ] = preplot_dis( r ); +coordinate=r.coordinates; +nodes=r.nodes; +% nmc = size(nodes,1);% +% % nel = size(nodes,2);%ÿĵ +% order=[1,2,4,3,1,5,6,8,7,3,4,8,6,2,1];%fillͼ +% nel=size(order,2); +if type == 1 + v = OutputRs{i}.p; +elseif type == 2 + v = 1-OutputRs{i}.sw;%ͱͶ +elseif type == 3 + v = OutputRs{i}.sg;%ͱͶ +else + v = OutputRs{i}.sw;%ͱͶ +end +% +order=[1,2,4,3,1]; +nel=size(order,2); +nmc=size(downgrid,2); +dis = zeros(nel, nmc); +x = zeros(nel, nmc); +y = zeros(nel, nmc); +z = zeros(nel, nmc); +for i = 1 : nmc + for j = 1 : nel + x(j, i) = coordinate(nodes(downgrid(i),order(j)), 1); + y(j, i) = coordinate(nodes(downgrid(i),order(j)), 2); + z(j, i) = coordinate(nodes(downgrid(i),order(j)), 3)-max(coordinate(:,3))-2000; + dis(j, i) = v(downgrid(i)); + end +end +fill3(x,y,z,dis,'edgeColor','interp'); +hold on + +% +order=[1,5,7,3,1]; +nel=size(order,2); +nmc=size(leftgrid,2); +dis = zeros(nel, nmc); +x = zeros(nel, nmc); +y = zeros(nel, nmc); +z = zeros(nel, nmc); +for i = 1 : nmc + for j = 1 : nel + x(j, i) = coordinate(nodes(leftgrid(i),order(j)), 1); + y(j, i) = coordinate(nodes(leftgrid(i),order(j)), 2); + z(j, i) = coordinate(nodes(leftgrid(i),order(j)), 3)-max(coordinate(:,3))-2000; + dis(j, i) = v(leftgrid(i)); + end +end +fill3(x,y,z,dis,'edgeColor','interp'); + +% +order=[2,4,8,6,2]; +nel=size(order,2); +nmc=size(rightgrid,2); +dis = zeros(nel, nmc); +x = zeros(nel, nmc); +y = zeros(nel, nmc); +z = zeros(nel, nmc); +for i = 1 : nmc + for j = 1 : nel + x(j, i) = coordinate(nodes(rightgrid(i),order(j)), 1); + y(j, i) = coordinate(nodes(rightgrid(i),order(j)), 2); + z(j, i) = coordinate(nodes(rightgrid(i),order(j)), 3)-max(coordinate(:,3))-2000; + dis(j, i) = v(rightgrid(i)); + end +end +fill3(x,y,z,dis,'edgeColor','interp'); + +%ǰ +order=[1,2,6,5,1]; +nel=size(order,2); +nmc=size(frontgrid,2); +dis = zeros(nel, nmc); +x = zeros(nel, nmc); +y = zeros(nel, nmc); +z = zeros(nel, nmc); +for i = 1 : nmc + for j = 1 : nel + x(j, i) = coordinate(nodes(frontgrid(i),order(j)), 1); + y(j, i) = coordinate(nodes(frontgrid(i),order(j)), 2); + z(j, i) = coordinate(nodes(frontgrid(i),order(j)), 3)-max(coordinate(:,3))-2000; + dis(j, i) = v(frontgrid(i)); + end +end +fill3(x,y,z,dis,'edgeColor','interp'); + +% +order=[3,4,8,7,3]; +nel=size(order,2); +nmc=size(backgrid,2); +dis = zeros(nel, nmc); +x = zeros(nel, nmc); +y = zeros(nel, nmc); +z = zeros(nel, nmc); +for i = 1 : nmc + for j = 1 : nel + x(j, i) = coordinate(nodes(backgrid(i),order(j)), 1); + y(j, i) = coordinate(nodes(backgrid(i),order(j)), 2); + z(j, i) = coordinate(nodes(backgrid(i),order(j)), 3)-max(coordinate(:,3))-2000; + dis(j, i) = v(backgrid(i)); + end +end +fill3(x,y,z,dis,'edgeColor','interp'); + +% +order=[5,6,8,7,5]; +nel=size(order,2); +nmc=size(upgrid,2); +dis = zeros(nel, nmc); +x = zeros(nel, nmc); +y = zeros(nel, nmc); +z = zeros(nel, nmc); +for i = 1 : nmc + for j = 1 : nel + x(j, i) = coordinate(nodes(upgrid(i),order(j)), 1); + y(j, i) = coordinate(nodes(upgrid(i),order(j)), 2); + z(j, i) = coordinate(nodes(upgrid(i),order(j)), 3)-max(coordinate(:,3))-2000; + dis(j, i) = v(upgrid(i)); + end +end +fill3(x,y,z,dis,'edgeColor','interp'); +set(gca,'FontName','Times New Roman','FontSize',10,'FontWeight','bold'); +xlabel('x, m'); +ylabel('y, m'); +zlabel('z, m'); +view(3); +% Ͳؿ +% plotframe( r ); +alpha(1) +% caxis([0.2,0.8]); +caxis([10,13]); +% caxis([12,22]); +colormap jet +colorbar +% zlim([-2020,-2000]); +% axis equal +axis tight + diff --git a/算例1-组分流-不规则非均质计算域/plot_perm.m b/算例1-组分流-不规则非均质计算域/plot_perm.m new file mode 100644 index 0000000..f730d14 --- /dev/null +++ b/算例1-组分流-不规则非均质计算域/plot_perm.m @@ -0,0 +1,51 @@ +function plot_perm(k, r) +coordinate=r.coordinates; +nodes=r.nodes; +nz=r.nz; +nx=r.nx; +ny=r.ny; +nmc = size(nodes,1); +% nel = size(nodes,2); +nel = 4; +v = r.kx; +% if type == 1 +% % v = r.kx; +% v = OutputRs{i}.p; +% else +% v = 1-OutputRs{i}.sw;%Ͷ +% end +dis = zeros(nel, nx*ny); +x = zeros(nel, nx*ny); +y = zeros(nel, nx*ny); +for i = 1 :nx*ny + for j = 1 :nel + grid_numbering = i+(nz-k)*nx*ny; + x(j, i) = coordinate(nodes(grid_numbering,j), 1); + y(j, i) = coordinate(nodes(grid_numbering,j), 2); + if j == 3 + x(j, i) = coordinate(nodes(grid_numbering,4), 1); + y(j, i) = coordinate(nodes(grid_numbering,4), 2); + end + if j == 4 + x(j, i) = coordinate(nodes(grid_numbering,3), 1); + y(j, i) = coordinate(nodes(grid_numbering,3), 2); + end + dis(j, i) = v(grid_numbering); + end +end +% fill(x,y,dis,'EdgeAlpha',1); +figure('color','w'); +fill(x,y,dis,'EdgeColor','interp'); +xlabel('x, m','FontSize',14); +ylabel('y, m','FontSize',14); +ax = gca; +ax.FontSize = 14; +axis equal; +axis tight +% xlim([0,60]); +% ylim([0,60]); +% clim([10,15]); +colorbar +colormap jet +% fill(x,y,dis); +% axis off diff --git a/算例1-组分流-不规则非均质计算域/preprocess_heterogeneous.m b/算例1-组分流-不规则非均质计算域/preprocess_heterogeneous.m new file mode 100644 index 0000000..01b6980 --- /dev/null +++ b/算例1-组分流-不规则非均质计算域/preprocess_heterogeneous.m @@ -0,0 +1,26 @@ +% 数据读取 +nx = r.nx; +ny = r.ny; +nz = r.nz; +% dx = r.dx; +% dy = r.dy; +% dz = r.dz; +cell_mid_coords = r.cell_mid_coords; +% 不规则边界设定 +boundary = [0,100; + 800,50; + 1000,150; + 1000,350; + 800,450; + 0,400; + 0,100]; +% 将不在边界内的网格的valid值赋为0 +valid_in = ones(nx*ny*nz); +in = inpolygon(cell_mid_coords(:,1),cell_mid_coords(:,2),boundary(:,1),boundary(:,2)); +valid_in(~in) = 0; +% 举例，给出渗透率函数形式 k(x,y) = (x/500+y/250+1)*1e-3 D，或者通过已知点插值计算等，都行 +kx = (cell_mid_coords(:,1)/500+cell_mid_coords(:,2)/250+1)*1e-3; +ky = kx; +kz = kx; +% 举例，给出孔隙度函数形式 phi(x,y) = (x/20000+y/10000+0.1)，或者通过已知点插值计算等，都行 +pori = (cell_mid_coords(:,1)/20000+cell_mid_coords(:,2)/10000+0.1); \ No newline at end of file diff --git a/算例2-组分流-无效网格/grid_discretization_SP_model.m b/算例2-组分流-无效网格/grid_discretization_SP_model.m new file mode 100644 index 0000000..6141739 --- /dev/null +++ b/算例2-组分流-无效网格/grid_discretization_SP_model.m @@ -0,0 +1,55 @@ +function r = grid_discretization_SP_model(modelflag, r, f, frac_information, fellip, nf) +% 数据读取 +nx = r.nx; ny = r.ny; nz = r.nz; NTG = r.NTG; cell_mid_coords = r.cell_mid_coords; +% 基质孔渗 +rock_density = 2700; % 岩石密度，kg/m^3 +kx = 1*1e-3 * ones(nx*ny*nz, 1); % 达西，D +ky = 1*1e-3 * ones(nx*ny*nz, 1);% +kz = 1*1e-3 * ones(nx*ny*nz, 1);% +pori = 0.08 * ones(nx*ny*nz, 1);% +prpor = 20; % 参考压力，MPa +cpor = 1.0e-5;% 基质压缩系数，,MPa +% 有效网格 +valid_grids = ones(nx*ny*nz, 1); +invalid_layer = 2; % 将第二层无效网格 +for i = 1:length(invalid_layer) + grid_numbering_range = ((invalid_layer(i)-1)*nx*ny+1:invalid_layer(i)*nx*ny)'; + valid_grids(grid_numbering_range,1) = 0; +end +% SRV区域定义 +% % % base_x=23:78; nx_SRV=length(base_x); +% % % base_y=15:36; ny_SRV=length(base_y); +% % % base_z=1:1;nz_SRV=length(base_z); +% % % SRV=[]; +% % % for k=1:nz_SRV +% % % for j=1:ny_SRV +% % % for i=1:nx_SRV +% % % SRV=[SRV;(base_z(k)-1)*nx*ny+(base_y(j)-1)*nx+base_x(i)]; +% % % end +% % % end +% % % end +% % % % SRV渗透率赋值 +% % % kx(SRV)=0.001*1e-3 * ones(length(SRV), 1); +% % % ky(SRV)=0.001*1e-3 * ones(length(SRV), 1); +% % % kz(SRV)=0.001*1e-3 * ones(length(SRV), 1); +% 裂缝孔渗 +Kf = 10000*1e-3*ones(1,nf);% 裂缝渗透率 +Wf = 1e-2*ones(1,nf);% 裂缝开度 +Porf = 0.30*ones(1,nf);% 裂缝孔隙度 +prporf = 20;% 裂缝系统参考压力 +cporf = 1.0e-5;% 裂缝系统压缩系数 +% 应力敏感系数 +stress_factor_fracture = 0.000; % 1/MPa 0.001 +stress_factor_matrix = 0.000; % 1/MPa +stress_factor_ref_pressure = 20; % 一般取为原始地层压力 +% +Rpt = 2;cf = 1;ca = 1; +%% 结合基质、裂缝的几何及物性信息开展前处理 +% r = GridProp(modelflag, nx, ny, nz, dx, dy, dz, kx, ky, kz, f, fellip, Kf, Wf, pori, prpor, cpor, Porf, prporf, cporf, cf, ca,co, NTG); +r = GridProp_new(modelflag, r, kx, ky, kz, f, frac_information, fellip, Kf, Wf, pori, prpor, cpor, Porf, prporf, cporf, cf, ca, valid_grids); +r.rock_density = rock_density; +r.valid_grids = valid_grids; +r.stress_factor_fracture = stress_factor_fracture; +r.stress_factor_matrix = stress_factor_matrix; +r.stress_factor_ref_pressure = stress_factor_ref_pressure; +end \ No newline at end of file diff --git a/算例2-组分流-无效网格/main1.m b/算例2-组分流-无效网格/main1.m new file mode 100644 index 0000000..1759026 --- /dev/null +++ b/算例2-组分流-无效网格/main1.m @@ -0,0 +1,205 @@ +function [ r, Times, OutputRs, Wellpara, trun ] = main1() +%% ==================================PART 1: 模型选取======================================== +% 1-- classical EDFM +modelflag = 1;% 此处固定为1即可 +%% ==================================PART 2: 基质网格定义===================================== +dx=[10*ones(1,100) ];nx=size(dx,2); +dy=[10*ones(1,50) ];ny=size(dy,2); +dz=[10*ones(1,3)];nz=size(dz,2); +NTG= 1*ones(nx*ny*nz,1); +r = GridProp_pre(dx,dy,dz,nx,ny,nz,NTG); +%% ==================================PART 3: 裂缝分布数据输入===================================== +% 四种输入方式: 1表示工程应用输入；2表示向量输入；3表示工程应用输入，包括基准点、倾角、方位角、抬升角；4表示从.fab文件读取 +input_style = 1; +%% 输入方式1：工程应用输入 +%仅能刻画具有双对称性质的矩形缝或椭圆缝 +% 基准点坐标（1），方位角（2），倾角（3），抬升角（4），缝长（椭圆长轴长）（5），缝高（椭圆短轴长）（6），类型1是矩形缝、2是椭圆缝（7） +if input_style==1 +input_content={ + [255,255,5],90,90,0,200,10,1; + [305,255,5],90,90,0,200,10,1; + [355,255,5],90,90,0,200,10,1; + [405,255,5],90,90,0,200,10,1; + [455,255,5],90,90,0,200,10,1; + [505,255,5],90,90,0,200,10,1; + [555,255,25],90,90,0,200,10,1; + [605,255,25],90,90,0,200,10,1; + [655,255,25],90,90,0,200,10,1; + [705,255,25],90,90,0,200,10,1; + [755,255,25],90,90,0,200,10,1; + }; +[f,fellip] = sort_fracture(input_content); +flowBarrierFlags = []; +m=size(f,1);n=size(fellip,1);nf=(m+n)/5; +frac_information = fractureInformation_input_engineering_vector(f,fellip,flowBarrierFlags); +end +%% 输入方式2：向量输入 +%首先对矩形缝进行研究，裂缝参数包括三个向量和两个参数的取值范围，如果是其它类型缝，则是两个参数间的函数关系 +%因此一个5行三列的矩阵可以确定一条裂缝 +%向量分量可为非整数，以此保证参数范围的取值为整数即可， +%故可先随意确定为整数的参数范围，再根据缝长缝高去确定向量分量的取值 +% 矩形缝 +if input_style==2 + f=[ + 0,1200,0;10,-20,0;0,0,10;0,60,0;0,3,0; + 0,1200,0;10,20,0;0,0,10;0,15,0;0,3,0; + 150,1500,0;20,-10,0;0,0,10;0,20,0;0,3,0; + 550,1300,0;10,10,0;0,0,10;0,10,0;0,3,0; + 650,1400,0;10,-20,0;0,0,10;0,55,0;0,3,0; + 605,705,0;10,0,0;0,0,10;-20,20,0;0,3,0; + ]; +% 椭圆缝 +% fellip=[320,210,10;10,2,0;0,0,2;0,0,8;0,0,5; +% 280,300,10;10,2,0;0,0,2;0,0,10;0,0,4;]; +% 300,205,10;10,0,0;0,0,2;0,0,10;0,0,5]; +fellip=[]; +m=size(f,1);n=size(fellip,1);nf=(m+n)/5;%裂缝条数 +frac_information = fractureInformation_input_engineering_vector(f,fellip); +end +%% 输入方式3：二维输入 +% load('fractures_generated.mat'); +% fractureLines = fractures_generated; +if input_style==3 +fractureLines = [ + 105,150;105,350; + 205,150;205,350; + 305,150;305,350; + 405,150;405,350; + 505,150;505,350; + 605,150;605,350; + 705,150;705,350; + 805,150;805,350; + 905,150;905,350; + ]; +fellip=[]; % 椭圆缝 +fractureHeights = [ + 10;10;10;10;10;10;10;10;10]; +% 椭圆缝 +fellip=[]; +flowBarrierFlags = [];% flowBarrierFlags = [1;2;3;4]; +[f,frac_information] = input_fracture_2D(fractureLines,fractureHeights,flowBarrierFlags); +m=size(f,1);n=size(fellip,1);nf=(m+n)/5;%裂缝条数 +end +%% 输入方式4：从.fab文件读取 Frac_PT +if input_style==4 + +end + +%% ==================================PART 4: 基质网格及裂缝物性参数输入===================================== +% 1-- 单重介质 +% 2-- 双重介质（双孔双渗） +grid_model = 1; +if grid_model == 1 +r = grid_discretization_SP_model(modelflag, r, f, frac_information, fellip, nf); +end +if grid_model == 2 +r = grid_discretization_DP_model(modelflag, r, f, frac_information, fellip, nf); +end + +%% 生成向量化变成所需要的算子 +os = OperatorRS(r.N, r.nex, r.nc); + +%% ==================================PART 5: 模型类型选取及初始状态设定========================================= +% 1-- 气水两相流 +% 2-- 油水两相流 +flow_model = 3; +if flow_model == 1 +[f,state0] = gas_water_flow(r); +end +if flow_model == 2 +[f,state0] = oil_water_flow(r); +end +if flow_model == 3 +[f,state0] = multi_component_flow(r); +end + +%% ==================================PART 6: 井制度schedule设定================================================ +%将直井、水平井与多段压裂水平井分开处理 +%% 直井、常规水平井定义 +% Wellcpara: wellname(1) nperf，射孔点数量(2) index(3) rw(4) skin(5) welltype(6) +% welltype=1 直井，welltype=2 水平井沿x方向，welltype=3 水平井沿y方向 welltype=4 多段压裂水平井 +% 直井、水平井，该种井型的处理是将射孔段安排在基质网格 +% 对于直井、斜井、水平井，采取与eclipse一致的方式，给出其在基质网格中位置 +% 每个射孔点由下px,py,pz确定，分别表示该射孔点在x方向，y方向的网格编号，及层数即z反方向上的网格编号（最初是以垂直向上建立的基质网格） +well1={ + % 'w1', 2, [20 10 1;20 10 2;], 0.178/2, 0, 1; + % 'w2', 2, [80 10 1;80 10 2;], 0.178/2, 0, 1; + % 'w3', 1, [20 40 1;], 0.178/2, 0, 1; + % 'w4', 1, [80 40 1;], 0.178/2, 0, 1; +% 'w2', 3, [67 20 1;67 20 2;67 20 3], 0.178/2, 0, 1; + }; +well1 = handle_well1(well1,r); +%% 压裂水平井定义 +% 多段压裂水平井：射孔段设置在裂缝单元上，可以给出该射孔点所在的坐标，然后去寻找该点所在的裂缝单元编号 +num_fracture_wells = 1; +welloc = cell(num_fracture_wells,1); +perfnum = cell(num_fracture_wells,1); +welloc{1,1}=[ + 255,255,5; + 305,255,5; + 355,255,5; + 405,255,5; + 455,255,5; + 505,255,5; + 555,255,25; + 605,255,25; + 655,255,25; + 705,255,25; + 755,255,25; + ]; +for i = 1:num_fracture_wells +perfnum{i,1} = findWelloc(r, welloc{i,1});%在用以Wellc0之中 +end +% perfnum2 = findWelloc(r, welloc2); +well2={ + 'w1', length(perfnum{1,1}), perfnum{1,1}, 0.178/2, 0,4; + }; +Wellc = handle_well1_well2(well1,well2,welloc,r); %加井和射孔位置 +%% 井制度设置（开关井、定压/定产、便于吞吐等） +number_phases = 3; +well_schedules = cell(number_phases,1); +time = zeros(number_phases,1); +% 不同方式对应的收敛难度、需要不一样，需分阶段调控， +% 例如在注入阶段需要小一些，如果需要做早期试井，dtmax、dtmin都需要小一些 +dtmax = zeros(number_phases,1); +dtmin = zeros(number_phases,1); + +% (1)well state: 'open'表示该井是开的；'close'表明该井一直是关的，如果只是阶段性关井，就用'open'定流量0生产 +% (2)well type: 'pro'表示是生产井；'inj'表示是注入井; +% (3)protype：'const_q'是定流量；'const_pwf'则是定压 +% (4)value：定的流量值或者井底压力值 +% (5)value：此代码该值与（3）值相同 +% (8)value：注入表活剂的浓度 kg/m3 +% (10)value：注入水/压裂液的盐浓度（矿化度），一般是 1kg/m3 +time(1) = 10; dtmax(1) = 0.1; dtmin(1) = 0.001; +well_schedules{1,1} = { + % 'w1','open','inj','const_pwf',30,30; + % 'w2','open','inj','const_pwf',30,30; + % 'w3','open','inj','const_pwf',30,30; + % 'w4','open','inj','const_pwf',30,30; + 'w1','open','inj','const_pwf',40,40,'Cs_inj',0.5,'Cb_inj',1}; +time(2) = 30; dtmax(2) = 0.5; dtmin(2) = 0.001; +well_schedules{2,1} = { + 'w1','open','pro','const_q',0,0; + % 'w1','open','pro','const_pwf',10,10; + % 'w2','open','pro','const_q',0,0; + }; +time(3) = 200; dtmax(3) = 0.5; dtmin(3) = 0.001; +well_schedules{3,1} = { + 'w1','open','pro','const_pwf',10,10; + % 'w2','open','pro','const_pwf',10,10; + }; + +%% ======================================PART 7: Solver设置=========================================== +yitap = 5; % 50-500psi +yitas = 0.04; % 0.05-0.5 +omega = 0.5; % 0-1 +Nmax = 50; +epsave = 1e-6; +epsmax = 1e-6; + +%% ======================================PART 8: 正式计算=========================================== +[Times, OutputRs, Wellpara, trun] = solver_NR(r, flow_model, f, os, state0, yitap,yitas,omega,Nmax,epsave,epsmax,dtmin,dtmax,Wellc,time,well_schedules); +run_time=toc; +trun.run_time=run_time; +end \ No newline at end of file diff --git a/算例2-组分流-无效网格/multi_component_flow.m b/算例2-组分流-无效网格/multi_component_flow.m new file mode 100644 index 0000000..94eb4b0 --- /dev/null +++ b/算例2-组分流-无效网格/multi_component_flow.m @@ -0,0 +1,232 @@ +function [f,state0] = multi_component_flow(r) +%% 流体性质参数 +%% 水相中的表活剂、盐的扩散系数 +Ds = 0.76*1e-9; % m2/s +Db = 2.2*1e-9; % m2/s +%% 表活剂、盐在岩石表面的吸附浓度与水相浓度的关系表，第一列单位是kg/m3, 第二列和第三列单位是g/kg +c_ca_table = [ +0 0 0 +0.05 1 0.075 +0.1 1.75 0.125 +0.2 3 0.2 +0.5 4.35 0.325 +1 4.55 0.365 +]; +cs_data = c_ca_table(:,1); +cb_data = c_ca_table(:,1); +csa_data = c_ca_table(:,2)*1e-3; % 转换为 kg/kg +cba_data = c_ca_table(:,3)*1e-3; % 转换为 kg/kg +%% 化学势（压裂液与地层水的盐度差异给水相带来的额外压差） +R = 0.008314; % kJ/(mol*K) +Vm = 18.02*1e-6; % 水的偏摩尔体积，m^3/mol +Temperature = 293.15; % 温度，K +chemistry_cof = R*Temperature/Vm*1e-3/10; +%% 动态相渗（凸显出表活剂对相渗的影响） +% 原本应先得到表活剂浓度与表面张力的关系，再结合渗流速度计算出个表面张力对应的毛管数， +% 为了简便代码编写，此处忽略渗流速度的影响， +% 并增强代码通用性，此处改为输入表活剂浓度与毛管数的对应表格， +% 第一列为表活剂浓度，第二列为相应的毛管数,，第三列是相应的表面张力 +% dynamic_kr = 1; +cs_Nc = [ +0 1.6*1e-6 30 +0.1 9.5*1e-6 10 +0.2 2.5*1e-5 4 +0.5 5.8*1e-5 1.4 +1 8.2*1e-5 1 +2 8.8*1e-5 0.75 +]; +Nc_nosurf = min(cs_Nc(:,2)); +Nc_surf = max(cs_Nc(:,2)); + +kr_nosurf = [ +0 0 0.64 +0.25 0 0.64 +0.30 0.072 0.6 +0.40 0.14 0.56 +0.50 0.26 0.48 +0.60 0.4 0.38 +0.70 0.56 0.26 +0.85 0.88 0 +1 0.88 0 + ]; + +kr_surf = [ +0 0 0.6 +0.18 0 0.6 +0.25 0.056 0.56 +0.30 0.1 0.52 +0.40 0.19 0.42 +0.50 0.29 0.3 +0.60 0.37 0.19 +0.75 0.46 0 +1 0.46 0 + ]; + +PC = [ +0 3.8916 +0.2 3.8916 +0.316 0.5796 +0.435 0.3724 +0.562 0.2425 +0.614 0.0608 +0.702 0.0372 +0.812 0.0137 +0.875 0.0104 +0.906 0.009 +0.937 0.0075 +0.969 0.0059 +1 0 +]; +cs_Nc_fracture = cs_Nc; +kr_nosurf_fracture = kr_nosurf; +kr_surf_fracture = kr_surf; +PC_fracture = PC; +ifpcgl = 0; % 是否考虑毛管力 +%% 启动压力梯度 +p_grad_threshold = 0.00; % MPa/m +%% ================气相Langmuir等温吸附模型，当 VL=0，亦可用于油相=============== +% VE = VL*P/(PL+P) +gas_prop.VL = 0.0; % Langmuir volume, m^3/kg +gas_prop.PL = 3.5; % Langmuir pressure, MPa +% Psc = 1; +% Zsc = 1; +% density_rock = 2000; % +% ===================== Knudsen 扩散系数，当 Kn=0，亦可用于油相 ==================== +gas_prop.Kn = 0; % Knudsen数 +c1 =1; c2 =8/9; +gas_prop.Kn_modified_factor = 1+8*c1*gas_prop.Kn+16*c2*gas_prop.Kn^2; +% ===================== 高速非达西流 Forchheimer 方程 ==================== +gas_prop.beta_non_Darcy_flow = 0; % 1e-8 +% =======================气相体积系数、粘度=============================== +density_g_sc = 800; +% 第一种模式，直接输入参考压力、体积系数、压缩系数、粘度 +gas_model =1; +if gas_model == 1 +prg = 20; % reference pressure, MPa +Bgi = 1; % gas phase volume factor +cg = 5e-4 ;% gas phase compressibility, 1/MPa +vgi = 6; % gas viscosity, cp +cvg = 0; +[Ppr,BG,MUG] = cal_gas_prop(prg,Bgi,cg,vgi,cvg); +end +if gas_model == 2 +Ppr = [ 0.1013 + 2.0946 + 4.0878 + 6.0811 + 8.0743 + 10.0676 + 12.0608 + 14.0540 + 16.0473 + 18.0405 + 20.0338 + 22.0270 + 24.0203 + 26.0135 + 28.0068 + 30.0000 + ]; +% BG = 0.01*ones(size(Ppr,1),1); +BG = [ 1.18297 + 0.0557041 + 0.0278168 + 0.0182594 + 0.0134665 + 0.0106154 + 0.00874829 + 0.00744907 + 0.00650639 + 0.0058006 + 0.0052587 + 0.0048336 + 0.00449378 + 0.00421751 + 0.0039895 + 0.00379871 + ]; +% MUG = 0.01*ones(size(Ppr,1),1); +MUG = [0.0127683 + 0.0130191 + 0.0133973 + 0.013872 + 0.014437 + 0.015088 + 0.0158182 + 0.0166173 + 0.0174719 + 0.0183671 + 0.0192882 + 0.0202219 + 0.0211575 + 0.0220865 + 0.0230024 + 0.0239008 + ]; +end +% ========================水相体积系数、粘度=============================== +density_w_sc = 1000; +prw = 20; % reference pressure +Bwi = 1.000; % water phase volume factor +cw = 4.0e-4 ;% water phase compressibility +vwi = 1; % viscosity +cvw = 0; +% =============================基质相渗=============================== +% ifpcgl = 0; % 是否考虑毛管力 +% RPGW=[ +% 0.0000 0.0000 1.0000 3.8916 +% 0.2000 0.0000 1.0000 3.8916 +% 0.3160 0.0002 0.6784 0.5796 +% 0.4350 0.0004 0.6215 0.3724 +% 0.5620 0.0010 0.5456 0.2425 +% 0.6140 0.0020 0.3939 0.0608 +% 0.7020 0.0280 0.1399 0.0372 +% 0.8120 0.1721 0.0515 0.0137 +% 0.8750 0.3395 0.0297 0.0104 +% 0.9060 0.4395 0.0226 0.0090 +% 0.9370 0.5500 0.0173 0.0075 +% 0.9690 0.6702 0.0131 0.0059 +% 1.0 1.0000 0.0000 0.0000 +% ]; +% SW=RPGW(:,1);KRW=RPGW(:,2);KRG=RPGW(:,3);PCGL=RPGW(:,4); +% +% % =============================裂缝相渗=============================== +% PRF=[ +% 0.0000 0.0000 1.0000 3.8916 +% 0.2000 0.0000 1.0000 3.8916 +% 0.3160 0.0002 0.6784 0.5796 +% 0.4350 0.0004 0.6215 0.3724 +% 0.5620 0.0010 0.5456 0.2425 +% 0.6140 0.0020 0.3939 0.0608 +% 0.7020 0.0280 0.1399 0.0372 +% 0.8120 0.1721 0.0515 0.0137 +% 0.8750 0.3395 0.0297 0.0104 +% 0.9060 0.4395 0.0226 0.0090 +% 0.9370 0.5500 0.0173 0.0075 +% 1.0 1.0000 0.0000 0.0000 +% ]; +% SWF = PRF(:,1);KRWF = PRF(:,2);KRGF = PRF(:,3);PCGLF=PRF(:,4); + +%% 结合流体性质参数生成相应的数据体 +% f = fluidPVT(Ppr, BG, MUG, Bwi, prw, cw, vwi, cvw, SW, KRG, KRW, PCGL, SWF, KRGF, KRWF, PCGLF, density_g_sc, ifpcgl, r.rpt, cs_data, csa_data, cb_data, cba_data, cs_Nc, kr_nosurf, kr_surf); +f = fluidPVT_new(Ppr, BG, MUG, Bwi, prw, cw, vwi, cvw, ifpcgl, r.rpt, cs_data, csa_data, cb_data, cba_data, cs_Nc, Nc_nosurf, Nc_surf, kr_nosurf, kr_surf, PC, cs_Nc_fracture, kr_nosurf_fracture, kr_surf_fracture, PC_fracture); +f.Dwsi = density_w_sc; +f.Dgsi = density_g_sc; +f.gas_prop = gas_prop; +f.Ds = Ds; +f.Db = Db; +f.chemistry_cof = chemistry_cof; +f.p_grad_threshold = p_grad_threshold; +%% 初值条件 Initial Condition Section +% =================压力、饱和度初值======================================= % +%压力初值要考虑重力，给出油藏下表面压力值 +P = [20 * ones(r.nmc, 1); 20 * ones(r.nfc, 1)]; +% plow=25; % P =plow-1e-6*800*9.8*r.z; +Sw = [0.2 * ones(r.nmc, 1); 0.2 * ones(r.nfc, 1)]; +Cs = [0.0 * ones(r.nmc, 1); 0.0 * ones(r.nfc, 1)];% kg/m3 +Cb = [50.0 * ones(r.nmc, 1); 50.0 * ones(r.nfc, 1)];% kg/m3 +% 油藏地层水矿化度一般为 50 kg/m3，注入水、压裂液的矿化度一般为 1 kg/m3 +number_state_variables = 4; +f.number_state_variables = number_state_variables; +state0 = initialRS(P, Sw, Cs, Cb); +end \ No newline at end of file diff --git a/算例2-组分流-无效网格/plotWellResponse.m b/算例2-组分流-无效网格/plotWellResponse.m new file mode 100644 index 0000000..b3bcc97 --- /dev/null +++ b/算例2-组分流-无效网格/plotWellResponse.m @@ -0,0 +1,55 @@ +function [] = plotWellResponse(Times,Wellpara) +% +wellNumber = 1; % +dataType = 'dPWF'; % ͣٶ GPRٶ OPR, ˮٶ WPRѹ BHPѹ dPWF +% +t = Times; +n= size(Times,1); +% para = cell2mat(Wellpara); +nw = wellNumber;%ѡ +% n = length(para); +data = zeros(n,1); +if strcmp(dataType, 'GPR') + for i = 1 : n + data(i) = Wellpara{i}{1,nw}.qg; + figureYlegend = 'Gas production rate, m^3/d'; + end + plot(t,data,'k^-');hold off; xlabel('Time, day');ylabel(figureYlegend); +end +if strcmp(dataType, 'OPR') + for i = 1 : n + data(i) = Wellpara{i}{1,nw}.qo; + figureYlegend = 'Oil production rate, m^3/d'; + end + plot(t,data,'k^-');hold off; xlabel('Time, day');ylabel(figureYlegend); +end +if strcmp(dataType, 'WPR') + for i = 1 : n + data(i) = Wellpara{i}{1,nw}.qw; + figureYlegend = 'Water production rate, m^3/d'; + end + plot(t,data,'k^-');hold off; xlabel('Time, day');ylabel(figureYlegend); +end +if strcmp(dataType, 'BHP') + for i = 1 : n + data(i) = Wellpara{i}{1,nw}.pwf; + figureYlegend = 'BHP, MPa'; + end + plot(t,data,'k^-');hold off; xlabel('Time, day');ylabel(figureYlegend); +end +if strcmp(dataType, 'dPWF') % dpwf/dlnt = t*dpwf/dt + for i = 1 : n + if i == 1 + data(i) = (Wellpara{i+1}{1,nw}.pwf-Wellpara{i}{1,nw}.pwf)/(log(t(i+1))-log(t(i))); + elseif i == n + data(i) = (Wellpara{i}{1,nw}.pwf-Wellpara{i-1}{1,nw}.pwf)/(log(t(i))-log(t(i-1))); + else + data(i) = (Wellpara{i+1}{1,nw}.pwf-Wellpara{i-1}{1,nw}.pwf)/(log(t(i+1))-log(t(i-1))); + end + figureYlegend = 'Pressure derivative, MPa'; + end + plot(t,data,'k^-');hold off; xlabel('Time, day');ylabel(figureYlegend); + set(gca, 'XScale', 'log'); + set(gca, 'YScale', 'log'); +end +end \ No newline at end of file diff --git a/算例2-组分流-无效网格/plot_2D_layer.m b/算例2-组分流-无效网格/plot_2D_layer.m new file mode 100644 index 0000000..5eb8afc --- /dev/null +++ b/算例2-组分流-无效网格/plot_2D_layer.m @@ -0,0 +1,51 @@ +function plot_2D_layer(i, k, r, OutputRs, type) +coordinate=r.coordinates; +nodes=r.nodes; +nz=r.nz; +nx=r.nx; +ny=r.ny; +nmc = size(nodes,1); +% nel = size(nodes,2); +nel = 4; +if type == 1 +% v = r.kx; + v = OutputRs{i}.p; +else + v = 1-OutputRs{i}.sw;%Ͷ +end +dis = zeros(nel, nx*ny); +x = zeros(nel, nx*ny); +y = zeros(nel, nx*ny); +for i = 1 :nx*ny + for j = 1 :nel + grid_numbering = i+(nz-k)*nx*ny; + x(j, i) = coordinate(nodes(grid_numbering,j), 1); + y(j, i) = coordinate(nodes(grid_numbering,j), 2); + if j == 3 + x(j, i) = coordinate(nodes(grid_numbering,4), 1); + y(j, i) = coordinate(nodes(grid_numbering,4), 2); + end + if j == 4 + x(j, i) = coordinate(nodes(grid_numbering,3), 1); + y(j, i) = coordinate(nodes(grid_numbering,3), 2); + end + dis(j, i) = v(grid_numbering); + end +end +% fill(x,y,dis,'EdgeAlpha',1); +figure('color','w'); +fill(x,y,dis,'EdgeColor','interp'); +xlabel('x, m','FontSize',14); +ylabel('y, m','FontSize',14); +ax = gca; +ax.FontSize = 14; +axis equal; +axis tight +% xlim([0,60]); +% ylim([0,60]); +clim([10,20]); +colorbar +colormap jet +saveas(gcf, sprintf('%dѹֲ.fig', k)); +% fill(x,y,dis); +% axis off diff --git a/算例2-组分流-无效网格/plot_3D_dis.m b/算例2-组分流-无效网格/plot_3D_dis.m new file mode 100644 index 0000000..6674f45 --- /dev/null +++ b/算例2-组分流-无效网格/plot_3D_dis.m @@ -0,0 +1,144 @@ +function plot_3D_dis(i, r,OutputRs, type) +%Ϊͼǰ +figure('color','w') +[ downgrid, frontgrid ,leftgrid, rightgrid, backgrid, upgrid ] = preplot_dis( r ); +coordinate=r.coordinates; +nodes=r.nodes; +% nmc = size(nodes,1);% +% % nel = size(nodes,2);%ÿĵ +% order=[1,2,4,3,1,5,6,8,7,3,4,8,6,2,1];%fillͼ +% nel=size(order,2); +if type == 1 + v = OutputRs{i}.p; +elseif type == 2 + v = 1-OutputRs{i}.sw;%ͱͶ +elseif type == 3 + v = OutputRs{i}.sg;%ͱͶ +else + v = OutputRs{i}.sw;%ͱͶ +end +% +order=[1,2,4,3,1]; +nel=size(order,2); +nmc=size(downgrid,2); +dis = zeros(nel, nmc); +x = zeros(nel, nmc); +y = zeros(nel, nmc); +z = zeros(nel, nmc); +for i = 1 : nmc + for j = 1 : nel + x(j, i) = coordinate(nodes(downgrid(i),order(j)), 1); + y(j, i) = coordinate(nodes(downgrid(i),order(j)), 2); + z(j, i) = coordinate(nodes(downgrid(i),order(j)), 3)-max(coordinate(:,3))-2000; + dis(j, i) = v(downgrid(i)); + end +end +fill3(x,y,z,dis,'edgeColor','interp'); +hold on + +% +order=[1,5,7,3,1]; +nel=size(order,2); +nmc=size(leftgrid,2); +dis = zeros(nel, nmc); +x = zeros(nel, nmc); +y = zeros(nel, nmc); +z = zeros(nel, nmc); +for i = 1 : nmc + for j = 1 : nel + x(j, i) = coordinate(nodes(leftgrid(i),order(j)), 1); + y(j, i) = coordinate(nodes(leftgrid(i),order(j)), 2); + z(j, i) = coordinate(nodes(leftgrid(i),order(j)), 3)-max(coordinate(:,3))-2000; + dis(j, i) = v(leftgrid(i)); + end +end +fill3(x,y,z,dis,'edgeColor','interp'); + +% +order=[2,4,8,6,2]; +nel=size(order,2); +nmc=size(rightgrid,2); +dis = zeros(nel, nmc); +x = zeros(nel, nmc); +y = zeros(nel, nmc); +z = zeros(nel, nmc); +for i = 1 : nmc + for j = 1 : nel + x(j, i) = coordinate(nodes(rightgrid(i),order(j)), 1); + y(j, i) = coordinate(nodes(rightgrid(i),order(j)), 2); + z(j, i) = coordinate(nodes(rightgrid(i),order(j)), 3)-max(coordinate(:,3))-2000; + dis(j, i) = v(rightgrid(i)); + end +end +fill3(x,y,z,dis,'edgeColor','interp'); + +%ǰ +order=[1,2,6,5,1]; +nel=size(order,2); +nmc=size(frontgrid,2); +dis = zeros(nel, nmc); +x = zeros(nel, nmc); +y = zeros(nel, nmc); +z = zeros(nel, nmc); +for i = 1 : nmc + for j = 1 : nel + x(j, i) = coordinate(nodes(frontgrid(i),order(j)), 1); + y(j, i) = coordinate(nodes(frontgrid(i),order(j)), 2); + z(j, i) = coordinate(nodes(frontgrid(i),order(j)), 3)-max(coordinate(:,3))-2000; + dis(j, i) = v(frontgrid(i)); + end +end +fill3(x,y,z,dis,'edgeColor','interp'); + +% +order=[3,4,8,7,3]; +nel=size(order,2); +nmc=size(backgrid,2); +dis = zeros(nel, nmc); +x = zeros(nel, nmc); +y = zeros(nel, nmc); +z = zeros(nel, nmc); +for i = 1 : nmc + for j = 1 : nel + x(j, i) = coordinate(nodes(backgrid(i),order(j)), 1); + y(j, i) = coordinate(nodes(backgrid(i),order(j)), 2); + z(j, i) = coordinate(nodes(backgrid(i),order(j)), 3)-max(coordinate(:,3))-2000; + dis(j, i) = v(backgrid(i)); + end +end +fill3(x,y,z,dis,'edgeColor','interp'); + +% +order=[5,6,8,7,5]; +nel=size(order,2); +nmc=size(upgrid,2); +dis = zeros(nel, nmc); +x = zeros(nel, nmc); +y = zeros(nel, nmc); +z = zeros(nel, nmc); +for i = 1 : nmc + for j = 1 : nel + x(j, i) = coordinate(nodes(upgrid(i),order(j)), 1); + y(j, i) = coordinate(nodes(upgrid(i),order(j)), 2); + z(j, i) = coordinate(nodes(upgrid(i),order(j)), 3)-max(coordinate(:,3))-2000; + dis(j, i) = v(upgrid(i)); + end +end +fill3(x,y,z,dis,'edgeColor','interp'); 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literal 0 HcmV?d00001 diff --git a/算例3-单重双重离散裂缝混合模型/grid_discretization_DP_model.m b/算例3-单重双重离散裂缝混合模型/grid_discretization_DP_model.m new file mode 100644 index 0000000..b5f4ae2 --- /dev/null +++ b/算例3-单重双重离散裂缝混合模型/grid_discretization_DP_model.m @@ -0,0 +1,70 @@ +function r = grid_discretization_DP_model(modelflag, r, f, frac_information, fellip, nf) +% 数据读取 +nx = r.nx; ny = r.ny; nz = r.nz; NTG = r.NTG; cell_mid_coords = r.cell_mid_coords; +% 裂缝层网格渗渗透率 +kx = 5*1e-3 * ones(nx*ny*nz, 1); % 达西，D +% load('kx.mat'); +ky = 5*1e-3 * ones(nx*ny*nz, 1);% +kz = 5*1e-3 * ones(nx*ny*nz, 1);% +pori = 0.01 * ones(nx*ny*nz, 1);% +prpor = 20; % 参考压力，MPa +cpor = 1.0e-5;% 基质压缩系数，MPa +NTG= 1 * ones(nx*ny*nz, 1); +% 基质层网格渗透率 +kx_matrixLayer = 0.01*1e-3 * ones(nx*ny*nz, 1); % 达西，D +ky_matrixLayer = 0.01*1e-3 * ones(nx*ny*nz, 1);% +kz_matrixLayer = 0.01*1e-3 * ones(nx*ny*nz, 1);% +pori_matrixLayer = 0.1 * ones(nx*ny*nz, 1);% +% prpor = 20; % 参考压力，MPa +% cpor = 1.0e-5;% 基质压缩系数，MPa +% 形状因子 +sigma = 0.08*ones(nx*ny*nz, 1); +for k = 1:nz + for j= 1:ny + for i= 1:floor(nx/2) + grid_numbering = (k-1)*(nx*ny)+(j-1)*nx+i; + sigma(grid_numbering,1) = 0.08; + end + end +end +% 有效网格 +valid_grids = ones(nx*ny*nz, 1); +% SRV区域定义 +% % % base_x=23:78; nx_SRV=length(base_x); +% % % base_y=15:36; ny_SRV=length(base_y); +% % % base_z=1:1;nz_SRV=length(base_z); +% % % SRV=[]; +% % % for k=1:nz_SRV +% % % for j=1:ny_SRV +% % % for i=1:nx_SRV +% % % SRV=[SRV;(base_z(k)-1)*nx*ny+(base_y(j)-1)*nx+base_x(i)]; +% % % end +% % % end +% % % end +% % % % SRV渗透率赋值 +% % % kx(SRV)=0.001*1e-3 * ones(length(SRV), 1); +% % % ky(SRV)=0.001*1e-3 * ones(length(SRV), 1); +% % % kz(SRV)=0.001*1e-3 * ones(length(SRV), 1); +% 裂缝孔渗 +Kf = 10000*1e-3*ones(1,nf);% 裂缝渗透率 +Wf =1e-2*ones(1,nf);% 裂缝开度 +Porf = 0.30*ones(1,nf);% 裂缝孔隙度 +prporf = 20;% 裂缝系统参考压力 +cporf = 1.0e-5;% 裂缝系统压缩系数 +% 应力敏感系数 +stress_factor_fracture = 0.000; % 1/MPa 0.001 +stress_factor_matrix = 0.000; % 1/MPa +stress_factor_ref_pressure = 20; % 一般取为原始地层压力 +% +Rpt = 2;cf = 1;ca = 1; +%% 结合基质、裂缝的几何及物性信息开展前处理 +% r = GridProp_new(modelflag, nx, ny, nz, dx, dy, dz, kx, ky, kz, f, fellip, Kf, Wf, pori, prpor, cpor, Porf, prporf, cporf, cf, ca,co, NTG); +r = GridProp_DP(modelflag, r, kx, ky, kz, kx_matrixLayer, ky_matrixLayer, kz_matrixLayer, f, frac_information, fellip, Kf, Wf, pori, pori_matrixLayer, prpor, cpor, Porf, prporf, cporf, cf, ca,NTG,sigma,valid_grids); +rock_density = 2700; % 岩石密度，kg/m^3 +r.sigma = sigma; +r.rock_density = rock_density; +r.valid_grids = valid_grids; +r.stress_factor_fracture = stress_factor_fracture; +r.stress_factor_matrix = stress_factor_matrix; +r.stress_factor_ref_pressure = stress_factor_ref_pressure; +end \ No newline at end of file diff --git a/算例3-单重双重离散裂缝混合模型/main1.m b/算例3-单重双重离散裂缝混合模型/main1.m new file mode 100644 index 0000000..e6d8bc2 --- /dev/null +++ b/算例3-单重双重离散裂缝混合模型/main1.m @@ -0,0 +1,211 @@ +function [ r, Times, OutputRs, Wellpara, trun ] = main1() +%% ==================================PART 1: 模型选取======================================== +% 1-- classical EDFM +modelflag = 1;% 此处固定为1即可 +%% ==================================PART 2: 基质网格定义===================================== +dx=[10*ones(1,100) ];nx=size(dx,2); +dy=[10*ones(1,50) ];ny=size(dy,2); +dz=[10*ones(1,1)];nz=size(dz,2); +NTG= 1*ones(nx*ny*nz,1); +r = GridProp_pre(dx,dy,dz,nx,ny,nz,NTG); +%% ==================================PART 3: 裂缝分布数据输入===================================== +% 四种输入方式: 1表示工程应用输入；2表示向量输入；3表示工程应用输入，包括基准点、倾角、方位角、抬升角；4表示从.fab文件读取 +input_style = 1; +%% 输入方式1：工程应用输入 +%仅能刻画具有双对称性质的矩形缝或椭圆缝 +% 基准点坐标（1），方位角（2），倾角（3），抬升角（4），缝长（椭圆长轴长）（5），缝高（椭圆短轴长）（6），类型1是矩形缝、2是椭圆缝（7） +if input_style==1 +input_content={ + [255,255,5],90,90,0,200,10,1; + [305,255,5],90,90,0,200,10,1; + [355,255,5],90,90,0,200,10,1; + [405,255,5],90,90,0,200,10,1; + [455,255,5],90,90,0,200,10,1; + [505,255,5],90,90,0,200,10,1; + [555,255,5],90,90,0,200,10,1; + [605,255,5],90,90,0,200,10,1; + [655,255,5],90,90,0,200,10,1; + [705,255,5],90,90,0,200,10,1; + [755,255,5],90,90,0,200,10,1; + }; +[f,fellip] = sort_fracture(input_content); +flowBarrierFlags = []; +m=size(f,1);n=size(fellip,1);nf=(m+n)/5; +frac_information = fractureInformation_input_engineering_vector(f,fellip,flowBarrierFlags); +end +%% 输入方式2：向量输入 +%首先对矩形缝进行研究，裂缝参数包括三个向量和两个参数的取值范围，如果是其它类型缝，则是两个参数间的函数关系 +%因此一个5行三列的矩阵可以确定一条裂缝 +%向量分量可为非整数，以此保证参数范围的取值为整数即可， +%故可先随意确定为整数的参数范围，再根据缝长缝高去确定向量分量的取值 +% 矩形缝 +if input_style==2 + f=[ + 0,1200,0;10,-20,0;0,0,10;0,60,0;0,3,0; + 0,1200,0;10,20,0;0,0,10;0,15,0;0,3,0; + 150,1500,0;20,-10,0;0,0,10;0,20,0;0,3,0; + 550,1300,0;10,10,0;0,0,10;0,10,0;0,3,0; + 650,1400,0;10,-20,0;0,0,10;0,55,0;0,3,0; + 605,705,0;10,0,0;0,0,10;-20,20,0;0,3,0; + ]; +% 椭圆缝 +% fellip=[320,210,10;10,2,0;0,0,2;0,0,8;0,0,5; +% 280,300,10;10,2,0;0,0,2;0,0,10;0,0,4;]; +% 300,205,10;10,0,0;0,0,2;0,0,10;0,0,5]; +fellip=[]; +m=size(f,1);n=size(fellip,1);nf=(m+n)/5;%裂缝条数 +frac_information = fractureInformation_input_engineering_vector(f,fellip); +end +%% 输入方式3：二维输入 +% load('fractures_generated.mat'); +% fractureLines = fractures_generated; +if input_style==3 +fractureLines = [ + 105,150;105,350; + 205,150;205,350; + 305,150;305,350; + 405,150;405,350; + 505,150;505,350; + 605,150;605,350; + 705,150;705,350; + 805,150;805,350; + 905,150;905,350; + ]; +fellip=[]; % 椭圆缝 +fractureHeights = [ + 10;10;10;10;10;10;10;10;10]; +% 椭圆缝 +fellip=[]; +flowBarrierFlags = [];% flowBarrierFlags = [1;2;3;4]; +[f,frac_information] = input_fracture_2D(fractureLines,fractureHeights,flowBarrierFlags); +m=size(f,1);n=size(fellip,1);nf=(m+n)/5;%裂缝条数 +end +%% 输入方式4：从.fab文件读取 Frac_PT +if input_style==4 + +end + +%% ==================================PART 4: 基质网格及裂缝物性参数输入===================================== +% 1-- 单重介质 +% 2-- 双重介质（双孔双渗） +grid_model = 2; +if grid_model == 1 +r = grid_discretization_SP_model(modelflag, r, f, frac_information, fellip, nf); +end +if grid_model == 2 +r = grid_discretization_DP_model(modelflag, r, f, frac_information, fellip, nf); +end + +%% 生成向量化变成所需要的算子 +os = OperatorRS(r.N, r.nex, r.nc); + +%% ==================================PART 5: 模型类型选取及初始状态设定========================================= +% 1-- 气水两相流 +% 2-- 油水两相流 +flow_model = 3; +if flow_model == 1 +[f,state0] = gas_water_flow(r); +end +if flow_model == 2 +[f,state0] = oil_water_flow(r); +end +if flow_model == 3 +[f,state0] = multi_component_flow(r); +end + +%% ==================================PART 6: 井制度schedule设定================================================ +%将直井、水平井与多段压裂水平井分开处理 +%% 直井、常规水平井定义 +% Wellcpara: wellname(1) nperf，射孔点数量(2) index(3) rw(4) skin(5) welltype(6) +% welltype=1 直井，welltype=2 水平井沿x方向，welltype=3 水平井沿y方向 welltype=4 多段压裂水平井 +% 直井、水平井，该种井型的处理是将射孔段安排在基质网格 +% 对于直井、斜井、水平井，采取与eclipse一致的方式，给出其在基质网格中位置 +% 每个射孔点由下px,py,pz确定，分别表示该射孔点在x方向，y方向的网格编号，及层数即z反方向上的网格编号（最初是以垂直向上建立的基质网格） +well1={ + % 'w1', 2, [20 10 1;20 10 2;], 0.178/2, 0, 1; + % 'w2', 2, [80 10 1;80 10 2;], 0.178/2, 0, 1; + % 'w3', 1, [20 40 1;], 0.178/2, 0, 1; + % 'w4', 1, [80 40 1;], 0.178/2, 0, 1; +% 'w2', 3, [67 20 1;67 20 2;67 20 3], 0.178/2, 0, 1; + }; +well1 = handle_well1(well1,r); +%% 压裂水平井定义 +% 多段压裂水平井：射孔段设置在裂缝单元上，可以给出该射孔点所在的坐标，然后去寻找该点所在的裂缝单元编号 +num_fracture_wells = 1; +welloc = cell(num_fracture_wells,1); +perfnum = cell(num_fracture_wells,1); +welloc{1,1}=[ + 255,255,5; + 305,255,5; + 355,255,5; + 405,255,5; + 455,255,5; + 505,255,5; + 555,255,5; + 605,255,5; + 655,255,5; + 705,255,5; + 755,255,5; + ]; +for i = 1:num_fracture_wells +perfnum{i,1} = findWelloc(r, welloc{i,1});%在用以Wellc0之中 +end +% perfnum2 = findWelloc(r, welloc2); +well2={ + 'w1', length(perfnum{1,1}), perfnum{1,1}, 0.178/2, 0,4; + }; +Wellc = handle_well1_well2(well1,well2,welloc,r); %加井和射孔位置 +%% 井制度设置（开关井、定压/定产、便于吞吐等） +number_phases = 3; +well_schedules = cell(number_phases,1); +time = zeros(number_phases,1); +% 不同方式对应的收敛难度、需要不一样，需分阶段调控， +% 例如在注入阶段需要小一些，如果需要做早期试井，dtmax、dtmin都需要小一些 +dtmax = zeros(number_phases,1); +dtmin = zeros(number_phases,1); + +% (1)well state: 'open'表示该井是开的；'close'表明该井一直是关的，如果只是阶段性关井，就用'open'定流量0生产 +% (2)well type: 'pro'表示是生产井；'inj'表示是注入井; +% (3)protype：'const_q'是定流量；'const_pwf'则是定压 +% (4)value：定的流量值或者井底压力值 +% (5)value：此代码该值与（3）值相同 +% (8)value：注入表活剂的浓度 kg/m3 +% (10)value：注入水/压裂液的盐浓度（矿化度），一般是 1kg/m3 +time(1) = 10; dtmax(1) = 0.1; dtmin(1) = 0.001; +well_schedules{1,1} = { + % 'w1','open','inj','const_pwf',30,30; + % 'w2','open','inj','const_pwf',30,30; + % 'w3','open','inj','const_pwf',30,30; + % 'w4','open','inj','const_pwf',30,30; + 'w1','open','inj','const_pwf',40,40,'Cs_inj',0.5,'Cb_inj',1}; +time(2) = 30; dtmax(2) = 0.5; dtmin(2) = 0.001; +well_schedules{2,1} = { + 'w1','open','pro','const_q',0,0; + % 'w1','open','pro','const_pwf',10,10; + % 'w2','open','pro','const_q',0,0; + }; +time(3) = 200; dtmax(3) = 5; dtmin(3) = 0.001; +well_schedules{3,1} = { + 'w1','open','pro','const_pwf',10,10; + % 'w2','open','pro','const_pwf',10,10; + }; + +% time(1) = 200; +% well_schedules{1,1} = { +% 'w1','open','pro','const_pwf',10,10; +% % 'w2','open','pro','const_pwf',10,10; +% }; + +%% ======================================PART 7: Solver设置=========================================== +yitap = 5; % 50-500psi +yitas = 0.04; % 0.05-0.5 +omega = 0.5; % 0-1 +Nmax = 50; +epsave = 1e-6; +epsmax = 1e-6; + +%% ======================================PART 8: 正式计算=========================================== +[Times, OutputRs, Wellpara, trun] = solver_NR(r, flow_model, f, os, state0, yitap,yitas,omega,Nmax,epsave,epsmax,dtmin,dtmax,Wellc,time,well_schedules); +run_time=toc; +trun.run_time=run_time; +end \ No newline at end of file diff --git a/算例3-单重双重离散裂缝混合模型/multi_component_flow.m b/算例3-单重双重离散裂缝混合模型/multi_component_flow.m new file mode 100644 index 0000000..94eb4b0 --- /dev/null +++ b/算例3-单重双重离散裂缝混合模型/multi_component_flow.m @@ -0,0 +1,232 @@ +function [f,state0] = multi_component_flow(r) +%% 流体性质参数 +%% 水相中的表活剂、盐的扩散系数 +Ds = 0.76*1e-9; % m2/s +Db = 2.2*1e-9; % m2/s +%% 表活剂、盐在岩石表面的吸附浓度与水相浓度的关系表，第一列单位是kg/m3, 第二列和第三列单位是g/kg +c_ca_table = [ +0 0 0 +0.05 1 0.075 +0.1 1.75 0.125 +0.2 3 0.2 +0.5 4.35 0.325 +1 4.55 0.365 +]; +cs_data = c_ca_table(:,1); +cb_data = c_ca_table(:,1); +csa_data = c_ca_table(:,2)*1e-3; % 转换为 kg/kg +cba_data = c_ca_table(:,3)*1e-3; % 转换为 kg/kg +%% 化学势（压裂液与地层水的盐度差异给水相带来的额外压差） +R = 0.008314; % kJ/(mol*K) +Vm = 18.02*1e-6; % 水的偏摩尔体积，m^3/mol +Temperature = 293.15; % 温度，K +chemistry_cof = R*Temperature/Vm*1e-3/10; +%% 动态相渗（凸显出表活剂对相渗的影响） +% 原本应先得到表活剂浓度与表面张力的关系，再结合渗流速度计算出个表面张力对应的毛管数， +% 为了简便代码编写，此处忽略渗流速度的影响， +% 并增强代码通用性，此处改为输入表活剂浓度与毛管数的对应表格， +% 第一列为表活剂浓度，第二列为相应的毛管数,，第三列是相应的表面张力 +% dynamic_kr = 1; +cs_Nc = [ +0 1.6*1e-6 30 +0.1 9.5*1e-6 10 +0.2 2.5*1e-5 4 +0.5 5.8*1e-5 1.4 +1 8.2*1e-5 1 +2 8.8*1e-5 0.75 +]; +Nc_nosurf = min(cs_Nc(:,2)); +Nc_surf = max(cs_Nc(:,2)); + +kr_nosurf = [ +0 0 0.64 +0.25 0 0.64 +0.30 0.072 0.6 +0.40 0.14 0.56 +0.50 0.26 0.48 +0.60 0.4 0.38 +0.70 0.56 0.26 +0.85 0.88 0 +1 0.88 0 + ]; + +kr_surf = [ +0 0 0.6 +0.18 0 0.6 +0.25 0.056 0.56 +0.30 0.1 0.52 +0.40 0.19 0.42 +0.50 0.29 0.3 +0.60 0.37 0.19 +0.75 0.46 0 +1 0.46 0 + ]; + +PC = [ +0 3.8916 +0.2 3.8916 +0.316 0.5796 +0.435 0.3724 +0.562 0.2425 +0.614 0.0608 +0.702 0.0372 +0.812 0.0137 +0.875 0.0104 +0.906 0.009 +0.937 0.0075 +0.969 0.0059 +1 0 +]; +cs_Nc_fracture = cs_Nc; +kr_nosurf_fracture = kr_nosurf; +kr_surf_fracture = kr_surf; +PC_fracture = PC; +ifpcgl = 0; % 是否考虑毛管力 +%% 启动压力梯度 +p_grad_threshold = 0.00; % MPa/m +%% ================气相Langmuir等温吸附模型，当 VL=0，亦可用于油相=============== +% VE = VL*P/(PL+P) +gas_prop.VL = 0.0; % Langmuir volume, m^3/kg +gas_prop.PL = 3.5; % Langmuir pressure, MPa +% Psc = 1; +% Zsc = 1; +% density_rock = 2000; % +% ===================== Knudsen 扩散系数，当 Kn=0，亦可用于油相 ==================== +gas_prop.Kn = 0; % Knudsen数 +c1 =1; c2 =8/9; +gas_prop.Kn_modified_factor = 1+8*c1*gas_prop.Kn+16*c2*gas_prop.Kn^2; +% ===================== 高速非达西流 Forchheimer 方程 ==================== +gas_prop.beta_non_Darcy_flow = 0; % 1e-8 +% =======================气相体积系数、粘度=============================== +density_g_sc = 800; +% 第一种模式，直接输入参考压力、体积系数、压缩系数、粘度 +gas_model =1; +if gas_model == 1 +prg = 20; % reference pressure, MPa +Bgi = 1; % gas phase volume factor +cg = 5e-4 ;% gas phase compressibility, 1/MPa +vgi = 6; % gas viscosity, cp +cvg = 0; +[Ppr,BG,MUG] = cal_gas_prop(prg,Bgi,cg,vgi,cvg); +end +if gas_model == 2 +Ppr = [ 0.1013 + 2.0946 + 4.0878 + 6.0811 + 8.0743 + 10.0676 + 12.0608 + 14.0540 + 16.0473 + 18.0405 + 20.0338 + 22.0270 + 24.0203 + 26.0135 + 28.0068 + 30.0000 + ]; +% BG = 0.01*ones(size(Ppr,1),1); +BG = [ 1.18297 + 0.0557041 + 0.0278168 + 0.0182594 + 0.0134665 + 0.0106154 + 0.00874829 + 0.00744907 + 0.00650639 + 0.0058006 + 0.0052587 + 0.0048336 + 0.00449378 + 0.00421751 + 0.0039895 + 0.00379871 + ]; +% MUG = 0.01*ones(size(Ppr,1),1); +MUG = [0.0127683 + 0.0130191 + 0.0133973 + 0.013872 + 0.014437 + 0.015088 + 0.0158182 + 0.0166173 + 0.0174719 + 0.0183671 + 0.0192882 + 0.0202219 + 0.0211575 + 0.0220865 + 0.0230024 + 0.0239008 + ]; +end +% ========================水相体积系数、粘度=============================== +density_w_sc = 1000; +prw = 20; % reference pressure +Bwi = 1.000; % water phase volume factor +cw = 4.0e-4 ;% water phase compressibility +vwi = 1; % viscosity +cvw = 0; +% =============================基质相渗=============================== +% ifpcgl = 0; % 是否考虑毛管力 +% RPGW=[ +% 0.0000 0.0000 1.0000 3.8916 +% 0.2000 0.0000 1.0000 3.8916 +% 0.3160 0.0002 0.6784 0.5796 +% 0.4350 0.0004 0.6215 0.3724 +% 0.5620 0.0010 0.5456 0.2425 +% 0.6140 0.0020 0.3939 0.0608 +% 0.7020 0.0280 0.1399 0.0372 +% 0.8120 0.1721 0.0515 0.0137 +% 0.8750 0.3395 0.0297 0.0104 +% 0.9060 0.4395 0.0226 0.0090 +% 0.9370 0.5500 0.0173 0.0075 +% 0.9690 0.6702 0.0131 0.0059 +% 1.0 1.0000 0.0000 0.0000 +% ]; +% SW=RPGW(:,1);KRW=RPGW(:,2);KRG=RPGW(:,3);PCGL=RPGW(:,4); +% +% % =============================裂缝相渗=============================== +% PRF=[ +% 0.0000 0.0000 1.0000 3.8916 +% 0.2000 0.0000 1.0000 3.8916 +% 0.3160 0.0002 0.6784 0.5796 +% 0.4350 0.0004 0.6215 0.3724 +% 0.5620 0.0010 0.5456 0.2425 +% 0.6140 0.0020 0.3939 0.0608 +% 0.7020 0.0280 0.1399 0.0372 +% 0.8120 0.1721 0.0515 0.0137 +% 0.8750 0.3395 0.0297 0.0104 +% 0.9060 0.4395 0.0226 0.0090 +% 0.9370 0.5500 0.0173 0.0075 +% 1.0 1.0000 0.0000 0.0000 +% ]; +% SWF = PRF(:,1);KRWF = PRF(:,2);KRGF = PRF(:,3);PCGLF=PRF(:,4); + +%% 结合流体性质参数生成相应的数据体 +% f = fluidPVT(Ppr, BG, MUG, Bwi, prw, cw, vwi, cvw, SW, KRG, KRW, PCGL, SWF, KRGF, KRWF, PCGLF, density_g_sc, ifpcgl, r.rpt, cs_data, csa_data, cb_data, cba_data, cs_Nc, kr_nosurf, kr_surf); +f = fluidPVT_new(Ppr, BG, MUG, Bwi, prw, cw, vwi, cvw, ifpcgl, r.rpt, cs_data, csa_data, cb_data, cba_data, cs_Nc, Nc_nosurf, Nc_surf, kr_nosurf, kr_surf, PC, cs_Nc_fracture, kr_nosurf_fracture, kr_surf_fracture, PC_fracture); +f.Dwsi = density_w_sc; +f.Dgsi = density_g_sc; +f.gas_prop = gas_prop; +f.Ds = Ds; +f.Db = Db; +f.chemistry_cof = chemistry_cof; +f.p_grad_threshold = p_grad_threshold; +%% 初值条件 Initial Condition Section +% =================压力、饱和度初值======================================= % +%压力初值要考虑重力，给出油藏下表面压力值 +P = [20 * ones(r.nmc, 1); 20 * ones(r.nfc, 1)]; +% plow=25; % P =plow-1e-6*800*9.8*r.z; +Sw = [0.2 * ones(r.nmc, 1); 0.2 * ones(r.nfc, 1)]; +Cs = [0.0 * ones(r.nmc, 1); 0.0 * ones(r.nfc, 1)];% kg/m3 +Cb = [50.0 * ones(r.nmc, 1); 50.0 * ones(r.nfc, 1)];% kg/m3 +% 油藏地层水矿化度一般为 50 kg/m3，注入水、压裂液的矿化度一般为 1 kg/m3 +number_state_variables = 4; +f.number_state_variables = number_state_variables; +state0 = initialRS(P, Sw, Cs, Cb); +end \ No newline at end of file diff --git a/算例3-单重双重离散裂缝混合模型/plotWellResponse.m b/算例3-单重双重离散裂缝混合模型/plotWellResponse.m new file mode 100644 index 0000000..b3bcc97 --- /dev/null +++ b/算例3-单重双重离散裂缝混合模型/plotWellResponse.m @@ -0,0 +1,55 @@ +function [] = plotWellResponse(Times,Wellpara) +% +wellNumber = 1; % +dataType = 'dPWF'; % ͣٶ GPRٶ OPR, ˮٶ WPRѹ BHPѹ dPWF +% +t = Times; +n= size(Times,1); +% para = cell2mat(Wellpara); +nw = wellNumber;%ѡ +% n = length(para); +data = zeros(n,1); +if strcmp(dataType, 'GPR') + for i = 1 : n + data(i) = Wellpara{i}{1,nw}.qg; + figureYlegend = 'Gas production rate, m^3/d'; + end + plot(t,data,'k^-');hold off; xlabel('Time, day');ylabel(figureYlegend); +end +if strcmp(dataType, 'OPR') + for i = 1 : n + data(i) = Wellpara{i}{1,nw}.qo; + figureYlegend = 'Oil production rate, m^3/d'; + end + plot(t,data,'k^-');hold off; xlabel('Time, day');ylabel(figureYlegend); +end +if strcmp(dataType, 'WPR') + for i = 1 : n + data(i) = Wellpara{i}{1,nw}.qw; + figureYlegend = 'Water production rate, m^3/d'; + end + plot(t,data,'k^-');hold off; xlabel('Time, day');ylabel(figureYlegend); +end +if strcmp(dataType, 'BHP') + for i = 1 : n + data(i) = Wellpara{i}{1,nw}.pwf; + figureYlegend = 'BHP, MPa'; + end + plot(t,data,'k^-');hold off; xlabel('Time, day');ylabel(figureYlegend); +end +if strcmp(dataType, 'dPWF') % dpwf/dlnt = t*dpwf/dt + for i = 1 : n + if i == 1 + data(i) = (Wellpara{i+1}{1,nw}.pwf-Wellpara{i}{1,nw}.pwf)/(log(t(i+1))-log(t(i))); + elseif i == n + data(i) = (Wellpara{i}{1,nw}.pwf-Wellpara{i-1}{1,nw}.pwf)/(log(t(i))-log(t(i-1))); + else + data(i) = (Wellpara{i+1}{1,nw}.pwf-Wellpara{i-1}{1,nw}.pwf)/(log(t(i+1))-log(t(i-1))); + end + figureYlegend = 'Pressure derivative, MPa'; + end + plot(t,data,'k^-');hold off; xlabel('Time, day');ylabel(figureYlegend); + set(gca, 'XScale', 'log'); + set(gca, 'YScale', 'log'); +end +end \ No newline at end of file diff --git a/算例3-单重双重离散裂缝混合模型/plot_2D_layer.m b/算例3-单重双重离散裂缝混合模型/plot_2D_layer.m new file mode 100644 index 0000000..0d45394 --- /dev/null +++ b/算例3-单重双重离散裂缝混合模型/plot_2D_layer.m @@ -0,0 +1,50 @@ +function plot_2D_layer(i, k, r, OutputRs, type) +coordinate=r.coordinates; +nodes=r.nodes; +nz=r.nz; +nx=r.nx; +ny=r.ny; +nmc = size(nodes,1); +% nel = size(nodes,2); +nel = 4; +if type == 1 +% v = r.kx; + v = OutputRs{i}.p; +else + v = 1-OutputRs{i}.sw;%Ͷ +end +dis = zeros(nel, nx*ny); +x = zeros(nel, nx*ny); +y = zeros(nel, nx*ny); +for i = 1 :nx*ny + for j = 1 :nel + grid_numbering = i+(nz-k)*nx*ny; + x(j, i) = coordinate(nodes(grid_numbering,j), 1); + y(j, i) = coordinate(nodes(grid_numbering,j), 2); + if j == 3 + x(j, i) = coordinate(nodes(grid_numbering,4), 1); + y(j, i) = coordinate(nodes(grid_numbering,4), 2); + end + if j == 4 + x(j, i) = coordinate(nodes(grid_numbering,3), 1); + y(j, i) = coordinate(nodes(grid_numbering,3), 2); + end + dis(j, i) = v(grid_numbering); + end +end +% fill(x,y,dis,'EdgeAlpha',1); +figure('color','w'); +fill(x,y,dis,'EdgeColor','interp'); +xlabel('x, m','FontSize',14); +ylabel('y, m','FontSize',14); +ax = gca; +ax.FontSize = 14; +axis equal; +axis tight +% xlim([0,60]); +% ylim([0,60]); +% clim([10,15]); +colorbar +colormap jet +% fill(x,y,dis); +% axis off diff --git a/算例3-单重双重离散裂缝混合模型/plot_3D_dis.m b/算例3-单重双重离散裂缝混合模型/plot_3D_dis.m new file mode 100644 index 0000000..6674f45 --- /dev/null +++ b/算例3-单重双重离散裂缝混合模型/plot_3D_dis.m @@ -0,0 +1,144 @@ +function plot_3D_dis(i, r,OutputRs, type) +%Ϊͼǰ +figure('color','w') +[ downgrid, frontgrid ,leftgrid, rightgrid, backgrid, upgrid ] = preplot_dis( r ); +coordinate=r.coordinates; +nodes=r.nodes; +% nmc = size(nodes,1);% +% % nel = size(nodes,2);%ÿĵ +% order=[1,2,4,3,1,5,6,8,7,3,4,8,6,2,1];%fillͼ +% nel=size(order,2); +if type == 1 + v = OutputRs{i}.p; +elseif type == 2 + v = 1-OutputRs{i}.sw;%ͱͶ +elseif type == 3 + v = OutputRs{i}.sg;%ͱͶ +else + v = OutputRs{i}.sw;%ͱͶ +end +% +order=[1,2,4,3,1]; +nel=size(order,2); +nmc=size(downgrid,2); +dis = zeros(nel, nmc); +x = zeros(nel, nmc); +y = zeros(nel, nmc); +z = zeros(nel, nmc); +for i = 1 : nmc + for j = 1 : nel + x(j, i) = coordinate(nodes(downgrid(i),order(j)), 1); + y(j, i) = coordinate(nodes(downgrid(i),order(j)), 2); + z(j, i) = coordinate(nodes(downgrid(i),order(j)), 3)-max(coordinate(:,3))-2000; + dis(j, i) = v(downgrid(i)); + end +end +fill3(x,y,z,dis,'edgeColor','interp'); +hold on + +% +order=[1,5,7,3,1]; +nel=size(order,2); +nmc=size(leftgrid,2); +dis = zeros(nel, nmc); +x = zeros(nel, nmc); +y = zeros(nel, nmc); +z = zeros(nel, nmc); +for i = 1 : nmc + for j = 1 : nel + x(j, i) = coordinate(nodes(leftgrid(i),order(j)), 1); + y(j, i) = coordinate(nodes(leftgrid(i),order(j)), 2); + z(j, i) = coordinate(nodes(leftgrid(i),order(j)), 3)-max(coordinate(:,3))-2000; + dis(j, i) = v(leftgrid(i)); + end +end +fill3(x,y,z,dis,'edgeColor','interp'); + +% +order=[2,4,8,6,2]; +nel=size(order,2); +nmc=size(rightgrid,2); +dis = zeros(nel, nmc); +x = zeros(nel, nmc); +y = zeros(nel, nmc); +z = zeros(nel, nmc); +for i = 1 : nmc + for j = 1 : nel + x(j, i) = coordinate(nodes(rightgrid(i),order(j)), 1); + y(j, i) = coordinate(nodes(rightgrid(i),order(j)), 2); + z(j, i) = coordinate(nodes(rightgrid(i),order(j)), 3)-max(coordinate(:,3))-2000; + dis(j, i) = v(rightgrid(i)); + end +end +fill3(x,y,z,dis,'edgeColor','interp'); + +%ǰ +order=[1,2,6,5,1]; +nel=size(order,2); +nmc=size(frontgrid,2); +dis = zeros(nel, nmc); +x = zeros(nel, nmc); +y = zeros(nel, nmc); +z = zeros(nel, nmc); +for i = 1 : nmc + for j = 1 : nel + x(j, i) = coordinate(nodes(frontgrid(i),order(j)), 1); + y(j, i) = coordinate(nodes(frontgrid(i),order(j)), 2); + z(j, i) = coordinate(nodes(frontgrid(i),order(j)), 3)-max(coordinate(:,3))-2000; + dis(j, i) = v(frontgrid(i)); + end +end +fill3(x,y,z,dis,'edgeColor','interp'); + +% +order=[3,4,8,7,3]; +nel=size(order,2); +nmc=size(backgrid,2); +dis = zeros(nel, nmc); +x = zeros(nel, nmc); +y = zeros(nel, nmc); +z = zeros(nel, nmc); +for i = 1 : nmc + for j = 1 : nel + x(j, i) = coordinate(nodes(backgrid(i),order(j)), 1); + y(j, i) = coordinate(nodes(backgrid(i),order(j)), 2); + z(j, i) = coordinate(nodes(backgrid(i),order(j)), 3)-max(coordinate(:,3))-2000; + dis(j, i) = v(backgrid(i)); + end +end +fill3(x,y,z,dis,'edgeColor','interp'); + +% +order=[5,6,8,7,5]; +nel=size(order,2); +nmc=size(upgrid,2); +dis = zeros(nel, nmc); +x = zeros(nel, nmc); +y = zeros(nel, nmc); +z = zeros(nel, nmc); +for i = 1 : nmc + for j = 1 : nel + x(j, i) = coordinate(nodes(upgrid(i),order(j)), 1); + y(j, i) = coordinate(nodes(upgrid(i),order(j)), 2); + z(j, i) = coordinate(nodes(upgrid(i),order(j)), 3)-max(coordinate(:,3))-2000; + dis(j, i) = v(upgrid(i)); + end +end +fill3(x,y,z,dis,'edgeColor','interp'); +set(gca,'FontName','Times New Roman','FontSize',10,'FontWeight','bold'); +xlabel('x, m'); +ylabel('y, m'); +zlabel('z, m'); +view(3); +% Ͳؿ +% plotframe( r ); +alpha(1) +% caxis([0.2,0.8]); +caxis([10,13]); +% caxis([12,22]); +colormap jet +colorbar +% zlim([-2020,-2000]); +% axis equal +axis tight + diff --git a/算例3-单重双重离散裂缝混合模型/plot_SP_DP.m b/算例3-单重双重离散裂缝混合模型/plot_SP_DP.m new file mode 100644 index 0000000..7f63e8e --- /dev/null +++ b/算例3-单重双重离散裂缝混合模型/plot_SP_DP.m @@ -0,0 +1,51 @@ +function plot_SP_DP(k, r) +coordinate=r.coordinates; +nodes=r.nodes; +nz=r.nz; +nx=r.nx; +ny=r.ny; +nmc = size(nodes,1); +% nel = size(nodes,2); +nel = 4; +v = r.sigma; +% if type == 1 +% % v = r.kx; +% v = OutputRs{i}.p; +% else +% v = 1-OutputRs{i}.sw;%Ͷ +% end +dis = zeros(nel, nx*ny); +x = zeros(nel, nx*ny); +y = zeros(nel, nx*ny); +for i = 1 :nx*ny + for j = 1 :nel + grid_numbering = i+(nz-k)*nx*ny; + x(j, i) = coordinate(nodes(grid_numbering,j), 1); + y(j, i) = coordinate(nodes(grid_numbering,j), 2); + if j == 3 + x(j, i) = coordinate(nodes(grid_numbering,4), 1); + y(j, i) = coordinate(nodes(grid_numbering,4), 2); + end + if j == 4 + x(j, i) = coordinate(nodes(grid_numbering,3), 1); + y(j, i) = coordinate(nodes(grid_numbering,3), 2); + end + dis(j, i) = v(grid_numbering); + end +end +% fill(x,y,dis,'EdgeAlpha',1); +figure('color','w'); +fill(x,y,dis,'EdgeColor','interp'); +xlabel('x, m','FontSize',14); +ylabel('y, m','FontSize',14); +ax = gca; +ax.FontSize = 14; +axis equal; +axis tight +% xlim([0,60]); +% ylim([0,60]); +% clim([10,15]); +colorbar +colormap jet +% fill(x,y,dis); +% axis off diff --git a/算例4-气水两相流-压力导数曲线/gas_water_flow.m b/算例4-气水两相流-压力导数曲线/gas_water_flow.m new file mode 100644 index 0000000..063f4ac --- /dev/null +++ b/算例4-气水两相流-压力导数曲线/gas_water_flow.m @@ -0,0 +1,141 @@ +function [f,state0] = gas_water_flow(r) +%% 流体性质参数 +% ===================== Langmuir等温吸附模型==================== +% VE = VL*P/(PL+P) +gas_prop.VL = 0.021; % Langmuir volume, m^3/kg +gas_prop.PL = 3.5; % Langmuir pressure, MPa +% Psc = 1; +% Zsc = 1; +% density_rock = 2000; % +% ===================== Knudsen 扩散系数 ==================== +gas_prop.Kn = 1; % Knudsen数 +c1 =1; c2 =8/9; +gas_prop.Kn_modified_factor = 1+8*c1*gas_prop.Kn+16*c2*gas_prop.Kn^2; +% ===================== 高速非达西流 Forchheimer 方程 ==================== +gas_prop.beta_non_Darcy_flow = 0; % 1e-8 +% ===================== 启动压力梯度 ==================== +p_grad_threshold = 0.00; % MPa/m +% =======================气相体积系数、粘度=============================== +density_g_sc = 0.716; +% 第一种模式，直接输入参考压力、体积系数、压缩系数、粘度 +gas_model =1; +if gas_model == 1 +prg = 30; % reference pressure, MPa +Bgi = 0.01; % gas phase volume factor +cg = 1e-2 ;% gas phase compressibility, 1/MPa +vgi = 0.01; % gas viscosity, cp +cvg = 0; +[Ppr,BG,MUG] = cal_gas_prop(prg,Bgi,cg,vgi,cvg); +end +if gas_model == 2 +Ppr = [ 0.1013 + 2.0946 + 4.0878 + 6.0811 + 8.0743 + 10.0676 + 12.0608 + 14.0540 + 16.0473 + 18.0405 + 20.0338 + 22.0270 + 24.0203 + 26.0135 + 28.0068 + 30.0000 + ]; +% BG = 0.01*ones(size(Ppr,1),1); +BG = [ 1.18297 + 0.0557041 + 0.0278168 + 0.0182594 + 0.0134665 + 0.0106154 + 0.00874829 + 0.00744907 + 0.00650639 + 0.0058006 + 0.0052587 + 0.0048336 + 0.00449378 + 0.00421751 + 0.0039895 + 0.00379871 + ]; +% MUG = 0.01*ones(size(Ppr,1),1); +MUG = [0.0127683 + 0.0130191 + 0.0133973 + 0.013872 + 0.014437 + 0.015088 + 0.0158182 + 0.0166173 + 0.0174719 + 0.0183671 + 0.0192882 + 0.0202219 + 0.0211575 + 0.0220865 + 0.0230024 + 0.0239008 + ]; +end +% ========================水相体积系数、粘度=============================== +density_w_sc = 1000; +prw = 30; % reference pressure +Bwi = 1.000; % water phase volume factor +cw = 4.0e-4 ;% water phase compressibility +vwi = 1; % viscosity +cvw = 0; +% =============================基质相渗=============================== +ifpcgl = 0; % 是否考虑毛管力 +RPGW=[ + 0.0000 0.0000 1.0000 3.8916 +0.2000 0.0000 1.0000 3.8916 +0.3160 0.0002 0.6784 0.5796 +0.4350 0.0004 0.6215 0.3724 +0.5620 0.0010 0.5456 0.2425 +0.6140 0.0020 0.3939 0.0608 +0.7020 0.0280 0.1399 0.0372 +0.8120 0.1721 0.0515 0.0137 +0.8750 0.3395 0.0297 0.0104 +0.9060 0.4395 0.0226 0.0090 +0.9370 0.5500 0.0173 0.0075 +0.9690 0.6702 0.0131 0.0059 +1.0 1.0000 0.0000 0.0000 +]; +SW=RPGW(:,1);KRW=RPGW(:,2);KRG=RPGW(:,3);PCGL=RPGW(:,4); + +% =============================裂缝相渗=============================== +PRF=[ +0.0000 0.0000 1.0000 3.8916 +0.2000 0.0000 1.0000 3.8916 +0.3160 0.0002 0.6784 0.5796 +0.4350 0.0004 0.6215 0.3724 +0.5620 0.0010 0.5456 0.2425 +0.6140 0.0020 0.3939 0.0608 +0.7020 0.0280 0.1399 0.0372 +0.8120 0.1721 0.0515 0.0137 +0.8750 0.3395 0.0297 0.0104 +0.9060 0.4395 0.0226 0.0090 +0.9370 0.5500 0.0173 0.0075 +1.0 1.0000 0.0000 0.0000 +]; +SWF = PRF(:,1);KRWF = PRF(:,2);KRGF = PRF(:,3);PCGLF=PRF(:,4); + +%% 结合流体性质参数生成相应的数据体 +f = fluidPVT_gas_water_flow(Ppr, BG, MUG, Bwi, prw, cw, vwi, cvw, SW, KRG, KRW, PCGL, SWF, KRGF, KRWF, PCGLF, density_g_sc, ifpcgl, r.rpt); +f.Dwsi = density_w_sc; +f.Dgsi = density_g_sc; +f.gas_prop = gas_prop; +f.p_grad_threshold = p_grad_threshold; +%% 初值条件 Initial Condition Section +% =================压力、饱和度初值======================================= % +%压力初值要考虑重力，给出油藏下表面压力值 +P = [20 * ones(r.nmc, 1); 20 * ones(r.nfc, 1)]; +% plow=25; % P =plow-1e-6*800*9.8*r.z; +Sw = [0.2 * ones(r.nmc, 1); 0.2 * ones(r.nfc, 1)]; +state0 = initialRS_gas_water_flow(P, Sw); +end \ No newline at end of file diff --git a/算例4-气水两相流-压力导数曲线/grid_discretization_SP_model.m b/算例4-气水两相流-压力导数曲线/grid_discretization_SP_model.m new file mode 100644 index 0000000..76c4f50 --- /dev/null +++ b/算例4-气水两相流-压力导数曲线/grid_discretization_SP_model.m @@ -0,0 +1,55 @@ +function r = grid_discretization_SP_model(modelflag, r, f, frac_information, fellip, nf) +% 数据读取 +nx = r.nx; ny = r.ny; nz = r.nz; NTG = r.NTG; cell_mid_coords = r.cell_mid_coords; +% 基质孔渗 +density_rock = 2700; % 岩石密度，kg/m^3 +kx = 1*1e-3 * ones(nx*ny*nz, 1); % 达西，D +ky = 1*1e-3 * ones(nx*ny*nz, 1);% +kz = 1*1e-3 * ones(nx*ny*nz, 1);% +pori = 0.08 * ones(nx*ny*nz, 1);% +prpor = 20; % 参考压力，MPa +cpor = 1.0e-5;% 基质压缩系数，,MPa +% 有效网格 +valid_grids = ones(nx*ny*nz, 1); +invalid_layer = []; % 将第二层无效网格 +for i = 1:length(invalid_layer) + grid_numbering_range = ((invalid_layer(i)-1)*nx*ny+1:invalid_layer(i)*nx*ny)'; + valid_grids(grid_numbering_range,1) = 0; +end +% SRV区域定义 +% % % base_x=23:78; nx_SRV=length(base_x); +% % % base_y=15:36; ny_SRV=length(base_y); +% % % base_z=1:1;nz_SRV=length(base_z); +% % % SRV=[]; +% % % for k=1:nz_SRV +% % % for j=1:ny_SRV +% % % for i=1:nx_SRV +% % % SRV=[SRV;(base_z(k)-1)*nx*ny+(base_y(j)-1)*nx+base_x(i)]; +% % % end +% % % end +% % % end +% % % % SRV渗透率赋值 +% % % kx(SRV)=0.001*1e-3 * ones(length(SRV), 1); +% % % ky(SRV)=0.001*1e-3 * ones(length(SRV), 1); +% % % kz(SRV)=0.001*1e-3 * ones(length(SRV), 1); +% 裂缝孔渗 +Kf = 10000*1e-3*ones(1,nf);% 裂缝渗透率 +Wf = 1e-2*ones(1,nf);% 裂缝开度 +Porf = 0.30*ones(1,nf);% 裂缝孔隙度 +prporf = 20;% 裂缝系统参考压力 +cporf = 1.0e-5;% 裂缝系统压缩系数 +% 应力敏感系数 +stress_factor_fracture = 0.000; % 1/MPa 0.001 +stress_factor_matrix = 0.000; % 1/MPa +stress_factor_ref_pressure = 20; % 一般取为原始地层压力 +% +Rpt = 2;cf = 1;ca = 1; +%% 结合基质、裂缝的几何及物性信息开展前处理 +% r = GridProp(modelflag, nx, ny, nz, dx, dy, dz, kx, ky, kz, f, fellip, Kf, Wf, pori, prpor, cpor, Porf, prporf, cporf, cf, ca,co, NTG); +r = GridProp_new(modelflag, r, kx, ky, kz, f, frac_information, fellip, Kf, Wf, pori, prpor, cpor, Porf, prporf, cporf, cf, ca, valid_grids); +r.density_rock = density_rock; +r.valid_grids = valid_grids; +r.stress_factor_fracture = stress_factor_fracture; +r.stress_factor_matrix = stress_factor_matrix; +r.stress_factor_ref_pressure = stress_factor_ref_pressure; +end \ No newline at end of file diff --git a/算例4-气水两相流-压力导数曲线/main1.asv b/算例4-气水两相流-压力导数曲线/main1.asv new file mode 100644 index 0000000..5b10be2 --- /dev/null +++ b/算例4-气水两相流-压力导数曲线/main1.asv @@ -0,0 +1,195 @@ +function [ r, Times, OutputRs, Wellpara, trun ] = main1() +%% ==================================PART 1: 模型选取======================================== +% 1-- classical EDFM +modelflag = 1;% 此处固定为1即可 +%% ==================================PART 2: 基质网格定义===================================== +dx=[10*ones(1,100) ];nx=size(dx,2); +dy=[10*ones(1,50) ];ny=size(dy,2); +dz=[10*ones(1,1)];nz=size(dz,2); +NTG= 1*ones(nx*ny*nz,1); +r = GridProp_pre(dx, dy,dz,nx,ny,nz,NTG); +%% ==================================PART 3: 裂缝分布数据输入===================================== +% 四种输入方式: 1表示工程应用输入；2表示向量输入；3表示工程应用输入，包括基准点、倾角、方位角、抬升角；4表示从.fab文件读取 +input_style = 1; +%% 输入方式1：工程应用输入 +%仅能刻画具有双对称性质的矩形缝或椭圆缝 +% 基准点坐标（1），方位角（2），倾角（3），抬升角（4），缝长（椭圆长轴长）（5），缝高（椭圆短轴长）（6），类型1是矩形缝、2是椭圆缝（7） +if input_style==1 +input_content={ + [255,255,5],90,90,0,200,10,1; + [305,255,5],90,90,0,200,10,1; + [355,255,5],90,90,0,200,10,1; + [405,255,5],90,90,0,200,10,1; + [455,255,5],90,90,0,200,10,1; + [505,255,5],90,90,0,200,10,1; + [555,255,5],90,90,0,200,10,1; + [605,255,5],90,90,0,200,10,1; + [655,255,5],90,90,0,200,10,1; + [705,255,5],90,90,0,200,10,1; + [755,255,5],90,90,0,200,10,1; + }; +[f,fellip] = sort_fracture(input_content); +flowBarrierFlags = []; +m=size(f,1);n=size(fellip,1);nf=(m+n)/5; +frac_information = fractureInformation_input_engineering_vector(f,fellip,flowBarrierFlags); +end +%% 输入方式2：向量输入 +%首先对矩形缝进行研究，裂缝参数包括三个向量和两个参数的取值范围，如果是其它类型缝，则是两个参数间的函数关系 +%因此一个5行三列的矩阵可以确定一条裂缝 +%向量分量可为非整数，以此保证参数范围的取值为整数即可， +%故可先随意确定为整数的参数范围，再根据缝长缝高去确定向量分量的取值 +% 矩形缝 +if input_style==2 + f=[ + 0,1200,0;10,-20,0;0,0,10;0,60,0;0,3,0; + 0,1200,0;10,20,0;0,0,10;0,15,0;0,3,0; + 150,1500,0;20,-10,0;0,0,10;0,20,0;0,3,0; + 550,1300,0;10,10,0;0,0,10;0,10,0;0,3,0; + 650,1400,0;10,-20,0;0,0,10;0,55,0;0,3,0; + 605,705,0;10,0,0;0,0,10;-20,20,0;0,3,0; + ]; +% 椭圆缝 +% fellip=[320,210,10;10,2,0;0,0,2;0,0,8;0,0,5; +% 280,300,10;10,2,0;0,0,2;0,0,10;0,0,4;]; +% 300,205,10;10,0,0;0,0,2;0,0,10;0,0,5]; +fellip=[]; +m=size(f,1);n=size(fellip,1);nf=(m+n)/5;%裂缝条数 +frac_information = fractureInformation_input_engineering_vector(f,fellip); +end +%% 输入方式3：二维输入 +% load('fractures_generated.mat'); +% fractureLines = fractures_generated; +if input_style==3 +fractureLines = [ + 105,150;105,350; + 205,150;205,350; + 305,150;305,350; + 405,150;405,350; + 505,150;505,350; + 605,150;605,350; + 705,150;705,350; + 805,150;805,350; + 905,150;905,350; + ]; +fellip=[]; % 椭圆缝 +fractureHeights = [ + 10;10;10;10;10;10;10;10;10]; +% 椭圆缝 +fellip=[]; +flowBarrierFlags = [];% flowBarrierFlags = [1;2;3;4]; +[f,frac_information] = input_fracture_2D(fractureLines,fractureHeights,flowBarrierFlags); +m=size(f,1);n=size(fellip,1);nf=(m+n)/5;%裂缝条数 +end +%% 输入方式4：从.fab文件读取 Frac_PT +if input_style==4 + +end + +%% ==================================PART 4: 基质网格及裂缝物性参数输入===================================== +% 1-- 单重介质 +% 2-- 双重介质（双孔双渗） +grid_model = 1; +if grid_model == 1 +r = grid_discretization_SP_model(modelflag, r, f, frac_information, fellip, nf); +end +if grid_model == 2 +r = grid_discretization_DP_model(modelflag, r, f, frac_information, fellip, nf); +end +%% 生成向量化变成所需要的算子 +os = OperatorRS(r.N, r.nex, r.nc); + +%% ==================================PART 5: 模型类型选取及初始状态设定========================================= +% 1-- 气水两相流 +% 2-- 油水两相流 +flow_model = 1; +if flow_model == 1 +[f,state0] = gas_water_flow(r); +end +if flow_model == 2 +[f,state0] = oil_water_flow(r); +end +if flow_model == 3 +[f,state0] = multi_component_flow(r); +end + +%% ==================================PART 6: 井制度schedule设定================================================ +%将直井、水平井与多段压裂水平井分开处理 +%% 直井、常规水平井定义 +% Wellcpara: wellname(1) nperf，射孔点数量(2) index(3) rw(4) skin(5) welltype(6) +% welltype=1 直井，welltype=2 水平井沿x方向，welltype=3 水平井沿y方向 welltype=4 多段压裂水平井 +% 直井、水平井，该种井型的处理是将射孔段安排在基质网格 +% 对于直井、斜井、水平井，采取与eclipse一致的方式，给出其在基质网格中位置 +% 每个射孔点由下px,py,pz确定，分别表示该射孔点在x方向，y方向的网格编号，及层数即z反方向上的网格编号（最初是以垂直向上建立的基质网格） +well1={ + % 'w1', 2, [20 10 1;20 10 2;], 0.178/2, 0, 1; + % 'w2', 2, [80 10 1;80 10 2;], 0.178/2, 0, 1; + % 'w3', 1, [20 40 1;], 0.178/2, 0, 1; + % 'w4', 1, [80 40 1;], 0.178/2, 0, 1; + }; +well1 = handle_well1(well1,r); +%% 压裂水平井定义 +% 多段压裂水平井：射孔段设置在裂缝单元上，可以给出该射孔点所在的坐标，然后去寻找该点所在的裂缝单元编号 +num_fracture_wells = 1; +welloc = cell(num_fracture_wells,1); +perfnum = cell(num_fracture_wells,1); +welloc{1,1}=[ + 255,255,5; + 305,255,5; + 355,255,5; + 405,255,5; + 455,255,5; + 505,255,5; + 555,255,5; + 605,255,5; + 655,255,5; + 705,255,5; + 755,255,5; + ]; +for i = 1:num_fracture_wells +perfnum{i,1} = findWelloc(r, welloc{i,1});%在用以Wellc0之中 +end +% perfnum2 = findWelloc(r, welloc2); +well2={ + 'w1', length(perfnum{1,1}), perfnum{1,1}, 0.178/2, 0,4; + }; +Wellc = handle_well1_well2(well1,well2,welloc,r); %加井和射孔位置 +%% 井制度设置（开关井、定压/定产、便于吞吐等） +number_phases = 1; +well_schedules = cell(number_phases,1); +time = zeros(number_phases,1); +% 不同方式对应的收敛难度、需要不一样，需分阶段调控， +% 例如在注入阶段需要小一些，如果需要做早期试井，dtmax、dtmin都需要小一些 +dtmax = zeros(number_phases,1); +dtmin = zeros(number_phases,1); + +% (1)well state: 'open'表示该井是开的；'close'表明该井一直是关的，如果只是阶段性关井，就用'open'定流量0生产 +% (2)well type: 'pro'表示是生产井；'inj'表示是注入井; +% (3)protype：'const_q'是定流量；'const_pwf'则是定压 +% (4)value：定的流量值或者井底压力值 +% (5)value：此代码该值与（3）值相同 +time(1) = 1e-3; dtmax(1) = 0.00002; dtmin(1) = 0.00001; +well_schedules{1,1} = { + 'w1','open','pro','const_q',10000,10000}; +time(2) = 99e-3; dtmax(2) = 0.0002; dtmin(2) = 0.0001; +well_schedules{1,1} = { + 'w1','open','pro','const_q',10000,10000}; +time(3) = 99e-3; dtmax(3) = 0.0002; dtmin(3) = 0.0001; +well_schedules{1,1} = { + 'w1','open','pro','const_q',10000,10000}; + +%% ======================================PART 7: Solver设置=========================================== +yitap = 5; % 50-500psi +yitas = 0.04; % 0.05-0.5 +omega = 0.5; % 0-1 +Nmax = 50; +epsave = 1e-6; +epsmax = 1e-6; +% dtmin = 0.001; +% dtmax = 10; +% dtmin = 0.000001; +% dtmax = 0.0001; +%% ======================================PART 8: 正式计算=========================================== +[Times, OutputRs, Wellpara, trun] = solver_NR(r, flow_model, f, os, state0, yitap,yitas,omega,Nmax,epsave,epsmax,dtmin,dtmax,Wellc,time,well_schedules); +run_time=toc; +trun.run_time=run_time; +end \ No newline at end of file diff --git a/算例4-气水两相流-压力导数曲线/main1.m b/算例4-气水两相流-压力导数曲线/main1.m new file mode 100644 index 0000000..ca69cef --- /dev/null +++ b/算例4-气水两相流-压力导数曲线/main1.m @@ -0,0 +1,200 @@ +function [ r, Times, OutputRs, Wellpara, trun ] = main1() +%% ==================================PART 1: 模型选取======================================== +% 1-- classical EDFM +modelflag = 1;% 此处固定为1即可 +%% ==================================PART 2: 基质网格定义===================================== +dx=[10*ones(1,100) ];nx=size(dx,2); +dy=[10*ones(1,50) ];ny=size(dy,2); +dz=[10*ones(1,1)];nz=size(dz,2); +NTG= 1*ones(nx*ny*nz,1); +r = GridProp_pre(dx, dy,dz,nx,ny,nz,NTG); +%% ==================================PART 3: 裂缝分布数据输入===================================== +% 四种输入方式: 1表示工程应用输入；2表示向量输入；3表示工程应用输入，包括基准点、倾角、方位角、抬升角；4表示从.fab文件读取 +input_style = 1; +%% 输入方式1：工程应用输入 +%仅能刻画具有双对称性质的矩形缝或椭圆缝 +% 基准点坐标（1），方位角（2），倾角（3），抬升角（4），缝长（椭圆长轴长）（5），缝高（椭圆短轴长）（6），类型1是矩形缝、2是椭圆缝（7） +if input_style==1 +input_content={ + [255,255,5],90,90,0,200,10,1; + [305,255,5],90,90,0,200,10,1; + [355,255,5],90,90,0,200,10,1; + [405,255,5],90,90,0,200,10,1; + [455,255,5],90,90,0,200,10,1; + [505,255,5],90,90,0,200,10,1; + [555,255,5],90,90,0,200,10,1; + [605,255,5],90,90,0,200,10,1; + [655,255,5],90,90,0,200,10,1; + [705,255,5],90,90,0,200,10,1; + [755,255,5],90,90,0,200,10,1; + }; +[f,fellip] = sort_fracture(input_content); +flowBarrierFlags = []; +m=size(f,1);n=size(fellip,1);nf=(m+n)/5; +frac_information = fractureInformation_input_engineering_vector(f,fellip,flowBarrierFlags); +end +%% 输入方式2：向量输入 +%首先对矩形缝进行研究，裂缝参数包括三个向量和两个参数的取值范围，如果是其它类型缝，则是两个参数间的函数关系 +%因此一个5行三列的矩阵可以确定一条裂缝 +%向量分量可为非整数，以此保证参数范围的取值为整数即可， +%故可先随意确定为整数的参数范围，再根据缝长缝高去确定向量分量的取值 +% 矩形缝 +if input_style==2 + f=[ + 0,1200,0;10,-20,0;0,0,10;0,60,0;0,3,0; + 0,1200,0;10,20,0;0,0,10;0,15,0;0,3,0; + 150,1500,0;20,-10,0;0,0,10;0,20,0;0,3,0; + 550,1300,0;10,10,0;0,0,10;0,10,0;0,3,0; + 650,1400,0;10,-20,0;0,0,10;0,55,0;0,3,0; + 605,705,0;10,0,0;0,0,10;-20,20,0;0,3,0; + ]; +% 椭圆缝 +% fellip=[320,210,10;10,2,0;0,0,2;0,0,8;0,0,5; +% 280,300,10;10,2,0;0,0,2;0,0,10;0,0,4;]; +% 300,205,10;10,0,0;0,0,2;0,0,10;0,0,5]; +fellip=[]; +m=size(f,1);n=size(fellip,1);nf=(m+n)/5;%裂缝条数 +frac_information = fractureInformation_input_engineering_vector(f,fellip); +end +%% 输入方式3：二维输入 +% load('fractures_generated.mat'); +% fractureLines = fractures_generated; +if input_style==3 +fractureLines = [ + 105,150;105,350; + 205,150;205,350; + 305,150;305,350; + 405,150;405,350; + 505,150;505,350; + 605,150;605,350; + 705,150;705,350; + 805,150;805,350; + 905,150;905,350; + ]; +fellip=[]; % 椭圆缝 +fractureHeights = [ + 10;10;10;10;10;10;10;10;10]; +% 椭圆缝 +fellip=[]; +flowBarrierFlags = [];% flowBarrierFlags = [1;2;3;4]; +[f,frac_information] = input_fracture_2D(fractureLines,fractureHeights,flowBarrierFlags); +m=size(f,1);n=size(fellip,1);nf=(m+n)/5;%裂缝条数 +end +%% 输入方式4：从.fab文件读取 Frac_PT +if input_style==4 + +end + +%% ==================================PART 4: 基质网格及裂缝物性参数输入===================================== +% 1-- 单重介质 +% 2-- 双重介质（双孔双渗） +grid_model = 1; +if grid_model == 1 +r = grid_discretization_SP_model(modelflag, r, f, frac_information, fellip, nf); +end +if grid_model == 2 +r = grid_discretization_DP_model(modelflag, r, f, frac_information, fellip, nf); +end +%% 生成向量化变成所需要的算子 +os = OperatorRS(r.N, r.nex, r.nc); + +%% ==================================PART 5: 模型类型选取及初始状态设定========================================= +% 1-- 气水两相流 +% 2-- 油水两相流 +flow_model = 1; +if flow_model == 1 +[f,state0] = gas_water_flow(r); +end +if flow_model == 2 +[f,state0] = oil_water_flow(r); +end +if flow_model == 3 +[f,state0] = multi_component_flow(r); +end + +%% ==================================PART 6: 井制度schedule设定================================================ +%将直井、水平井与多段压裂水平井分开处理 +%% 直井、常规水平井定义 +% Wellcpara: wellname(1) nperf，射孔点数量(2) index(3) rw(4) skin(5) welltype(6) +% welltype=1 直井，welltype=2 水平井沿x方向，welltype=3 水平井沿y方向 welltype=4 多段压裂水平井 +% 直井、水平井，该种井型的处理是将射孔段安排在基质网格 +% 对于直井、斜井、水平井，采取与eclipse一致的方式，给出其在基质网格中位置 +% 每个射孔点由下px,py,pz确定，分别表示该射孔点在x方向，y方向的网格编号，及层数即z反方向上的网格编号（最初是以垂直向上建立的基质网格） +well1={ + % 'w1', 2, [20 10 1;20 10 2;], 0.178/2, 0, 1; + % 'w2', 2, [80 10 1;80 10 2;], 0.178/2, 0, 1; + % 'w3', 1, [20 40 1;], 0.178/2, 0, 1; + % 'w4', 1, [80 40 1;], 0.178/2, 0, 1; + }; +well1 = handle_well1(well1,r); +%% 压裂水平井定义 +% 多段压裂水平井：射孔段设置在裂缝单元上，可以给出该射孔点所在的坐标，然后去寻找该点所在的裂缝单元编号 +num_fracture_wells = 1; +welloc = cell(num_fracture_wells,1); +perfnum = cell(num_fracture_wells,1); +welloc{1,1}=[ + 255,255,5; + 305,255,5; + 355,255,5; + 405,255,5; + 455,255,5; + 505,255,5; + 555,255,5; + 605,255,5; + 655,255,5; + 705,255,5; + 755,255,5; + ]; +for i = 1:num_fracture_wells +perfnum{i,1} = findWelloc(r, welloc{i,1});%在用以Wellc0之中 +end +% perfnum2 = findWelloc(r, welloc2); +well2={ + 'w1', length(perfnum{1,1}), perfnum{1,1}, 0.178/2, 0,4; + }; +Wellc = handle_well1_well2(well1,well2,welloc,r); %加井和射孔位置 +%% 井制度设置（开关井、定压/定产、便于吞吐等） +number_phases = 5; +well_schedules = cell(number_phases,1); +time = zeros(number_phases,1); +% 不同方式对应的收敛难度、需要不一样，需分阶段调控， +% 例如在注入阶段需要小一些，如果需要做早期试井，dtmax、dtmin都需要小一些 +dtmax = zeros(number_phases,1); +dtmin = zeros(number_phases,1); + +% (1)well state: 'open'表示该井是开的；'close'表明该井一直是关的，如果只是阶段性关井，就用'open'定流量0生产 +% (2)well type: 'pro'表示是生产井；'inj'表示是注入井; +% (3)protype：'const_q'是定流量；'const_pwf'则是定压 +% (4)value：定的流量值或者井底压力值 +% (5)value：此代码该值与（3）值相同 +time(1) = 1e-3; dtmax(1) = 0.00002; dtmin(1) = 0.00001; +well_schedules{1,1} = { + 'w1','open','pro','const_q',10000,10000}; +time(2) = 99e-3; dtmax(2) = 0.0002; dtmin(2) = 0.0001; +well_schedules{2,1} = { + 'w1','open','pro','const_q',10000,10000}; +time(3) = 0.9; dtmax(3) = 0.002; dtmin(3) = 0.001; +well_schedules{3,1} = { + 'w1','open','pro','const_q',10000,10000}; +time(4) = 100; dtmax(4) = 2; dtmin(4) = 0.01; +well_schedules{4,1} = { + 'w1','open','pro','const_q',10000,10000}; +time(5) = 900; dtmax(5) = 10; dtmin(5) = 0.01; +well_schedules{5,1} = { + 'w1','open','pro','const_q',10000,10000}; +%% ======================================PART 7: Solver设置=========================================== +yitap = 5; % 50-500psi +yitas = 0.04; % 0.05-0.5 +omega = 0.5; % 0-1 +Nmax = 50; +epsave = 1e-6; +epsmax = 1e-6; +% dtmin = 0.001; +% dtmax = 10; +% dtmin = 0.000001; +% dtmax = 0.0001; +%% ======================================PART 8: 正式计算=========================================== +[Times, OutputRs, Wellpara, trun] = solver_NR(r, flow_model, f, os, state0, yitap,yitas,omega,Nmax,epsave,epsmax,dtmin,dtmax,Wellc,time,well_schedules); +run_time=toc; +trun.run_time=run_time; +end \ No newline at end of file diff --git a/算例4-气水两相流-压力导数曲线/plotWellResponse.m b/算例4-气水两相流-压力导数曲线/plotWellResponse.m new file mode 100644 index 0000000..b3bcc97 --- /dev/null +++ b/算例4-气水两相流-压力导数曲线/plotWellResponse.m @@ -0,0 +1,55 @@ +function [] = plotWellResponse(Times,Wellpara) +% +wellNumber = 1; % +dataType = 'dPWF'; % ͣٶ GPRٶ OPR, ˮٶ WPRѹ BHPѹ dPWF +% +t = Times; +n= size(Times,1); +% para = cell2mat(Wellpara); +nw = wellNumber;%ѡ +% n = length(para); +data = zeros(n,1); +if strcmp(dataType, 'GPR') + for i = 1 : n + data(i) = Wellpara{i}{1,nw}.qg; + figureYlegend = 'Gas production rate, m^3/d'; + end + plot(t,data,'k^-');hold off; xlabel('Time, day');ylabel(figureYlegend); +end +if strcmp(dataType, 'OPR') + for i = 1 : n + data(i) = Wellpara{i}{1,nw}.qo; + figureYlegend = 'Oil production rate, m^3/d'; + end + plot(t,data,'k^-');hold off; xlabel('Time, day');ylabel(figureYlegend); +end +if strcmp(dataType, 'WPR') + for i = 1 : n + data(i) = Wellpara{i}{1,nw}.qw; + figureYlegend = 'Water production rate, m^3/d'; + end + plot(t,data,'k^-');hold off; xlabel('Time, day');ylabel(figureYlegend); +end +if strcmp(dataType, 'BHP') + for i = 1 : n + data(i) = Wellpara{i}{1,nw}.pwf; + figureYlegend = 'BHP, MPa'; + end + plot(t,data,'k^-');hold off; xlabel('Time, day');ylabel(figureYlegend); +end +if strcmp(dataType, 'dPWF') % dpwf/dlnt = t*dpwf/dt + for i = 1 : n + if i == 1 + data(i) = (Wellpara{i+1}{1,nw}.pwf-Wellpara{i}{1,nw}.pwf)/(log(t(i+1))-log(t(i))); + elseif i == n + data(i) = (Wellpara{i}{1,nw}.pwf-Wellpara{i-1}{1,nw}.pwf)/(log(t(i))-log(t(i-1))); + else + data(i) = (Wellpara{i+1}{1,nw}.pwf-Wellpara{i-1}{1,nw}.pwf)/(log(t(i+1))-log(t(i-1))); + end + figureYlegend = 'Pressure derivative, MPa'; + end + plot(t,data,'k^-');hold off; xlabel('Time, day');ylabel(figureYlegend); + set(gca, 'XScale', 'log'); + set(gca, 'YScale', 'log'); +end +end \ No newline at end of file diff --git a/算例5-油水两相流-注焖采/grid_discretization_SP_model.m b/算例5-油水两相流-注焖采/grid_discretization_SP_model.m new file mode 100644 index 0000000..fe08427 --- /dev/null +++ b/算例5-油水两相流-注焖采/grid_discretization_SP_model.m @@ -0,0 +1,55 @@ +function r = grid_discretization_SP_model(modelflag, r, f, frac_information, fellip, nf) +% 数据读取 +nx = r.nx; ny = r.ny; nz = r.nz; NTG = r.NTG; cell_mid_coords = r.cell_mid_coords; +% 基质孔渗 +rock_density = 2700; % 岩石密度，kg/m^3 +kx = 5*1e-3 * ones(nx*ny*nz, 1); % 达西，D +ky = 5*1e-3 * ones(nx*ny*nz, 1);% +kz = 5*1e-3 * ones(nx*ny*nz, 1);% +pori = 0.01 * ones(nx*ny*nz, 1);% +prpor = 20; % 参考压力，MPa +cpor = 1.0e-5;% 基质压缩系数，,MPa +% 有效网格 +valid_grids = ones(nx*ny*nz, 1); +invalid_layer = []; % 将第二层无效网格 +for i = 1:length(invalid_layer) + grid_numbering_range = ((invalid_layer(i)-1)*nx*ny+1:invalid_layer(i)*nx*ny)'; + valid_grids(grid_numbering_range,1) = 0; +end +% SRV区域定义 +% % % base_x=23:78; nx_SRV=length(base_x); +% % % base_y=15:36; ny_SRV=length(base_y); +% % % base_z=1:1;nz_SRV=length(base_z); +% % % SRV=[]; +% % % for k=1:nz_SRV +% % % for j=1:ny_SRV +% % % for i=1:nx_SRV +% % % SRV=[SRV;(base_z(k)-1)*nx*ny+(base_y(j)-1)*nx+base_x(i)]; +% % % end +% % % end +% % % end +% % % % SRV渗透率赋值 +% % % kx(SRV)=0.001*1e-3 * ones(length(SRV), 1); +% % % ky(SRV)=0.001*1e-3 * ones(length(SRV), 1); +% % % kz(SRV)=0.001*1e-3 * ones(length(SRV), 1); +% 裂缝孔渗 +Kf = 10000*1e-3*ones(1,nf);% 裂缝渗透率 +Wf = 1e-2*ones(1,nf);% 裂缝开度 +Porf = 0.30*ones(1,nf);% 裂缝孔隙度 +prporf = 20;% 裂缝系统参考压力 +cporf = 1.0e-5;% 裂缝系统压缩系数 +% 应力敏感 +stress_factor_fracture = 0.000; % 1/MPa 0.001 +stress_factor_matrix = 0.000; % 1/MPa +stress_factor_ref_pressure = 20; % 一般取为原始地层压力MPa +% +Rpt = 2;cf = 1;ca = 1; +%% 结合基质、裂缝的几何及物性信息开展前处理 +% r = GridProp(modelflag, nx, ny, nz, dx, dy, dz, kx, ky, kz, f, fellip, Kf, Wf, pori, prpor, cpor, Porf, prporf, cporf, cf, ca,co, NTG); +r = GridProp_new(modelflag, r, kx, ky, kz, f, frac_information, fellip, Kf, Wf, pori, prpor, cpor, Porf, prporf, cporf, cf, ca, valid_grids); +r.rock_density = rock_density; +r.valid_grids = valid_grids; +r.stress_factor_fracture = stress_factor_fracture; +r.stress_factor_matrix = stress_factor_matrix; +r.stress_factor_ref_pressure = stress_factor_ref_pressure; +end \ No newline at end of file diff --git a/算例5-油水两相流-注焖采/main1.m b/算例5-油水两相流-注焖采/main1.m new file mode 100644 index 0000000..472478f --- /dev/null +++ b/算例5-油水两相流-注焖采/main1.m @@ -0,0 +1,200 @@ +function [ r, Times, OutputRs, Wellpara, trun ] = main1() +%% ==================================PART 1: 模型选取======================================== +% 1-- classical EDFM +modelflag = 1;% 此处固定为1即可 +%% ==================================PART 2: 基质网格定义===================================== +dx=[10*ones(1,100) ];nx=size(dx,2); +dy=[10*ones(1,50) ];ny=size(dy,2); +dz=[10*ones(1,1)];nz=size(dz,2); +NTG= 1*ones(nx*ny*nz,1); +r = GridProp_pre(dx,dy,dz,nx,ny,nz,NTG); +%% ==================================PART 3: 裂缝分布数据输入===================================== +% 四种输入方式: 1表示工程应用输入；2表示向量输入；3表示工程应用输入，包括基准点、倾角、方位角、抬升角；4表示从.fab文件读取 +input_style = 1; +%% 输入方式1：工程应用输入 +%仅能刻画具有双对称性质的矩形缝或椭圆缝 +% 基准点坐标（1），方位角（2），倾角（3），抬升角（4），缝长（椭圆长轴长）（5），缝高（椭圆短轴长）（6），类型1是矩形缝、2是椭圆缝（7） +if input_style==1 +input_content={ + [255,255,5],90,90,0,200,10,1; + [305,255,5],90,90,0,200,10,1; + [355,255,5],90,90,0,200,10,1; + [405,255,5],90,90,0,200,10,1; + [455,255,5],90,90,0,200,10,1; + [505,255,5],90,90,0,200,10,1; + [555,255,5],90,90,0,200,10,1; + [605,255,5],90,90,0,200,10,1; + [655,255,5],90,90,0,200,10,1; + [705,255,5],90,90,0,200,10,1; + [755,255,5],90,90,0,200,10,1; + }; +[f,fellip] = sort_fracture(input_content); +flowBarrierFlags = []; +m=size(f,1);n=size(fellip,1);nf=(m+n)/5; +frac_information = fractureInformation_input_engineering_vector(f,fellip,flowBarrierFlags); +end +%% 输入方式2：向量输入 +%首先对矩形缝进行研究，裂缝参数包括三个向量和两个参数的取值范围，如果是其它类型缝，则是两个参数间的函数关系 +%因此一个5行三列的矩阵可以确定一条裂缝 +%向量分量可为非整数，以此保证参数范围的取值为整数即可， +%故可先随意确定为整数的参数范围，再根据缝长缝高去确定向量分量的取值 +% 矩形缝 +if input_style==2 + f=[ + 0,1200,0;10,-20,0;0,0,10;0,60,0;0,3,0; + 0,1200,0;10,20,0;0,0,10;0,15,0;0,3,0; + 150,1500,0;20,-10,0;0,0,10;0,20,0;0,3,0; + 550,1300,0;10,10,0;0,0,10;0,10,0;0,3,0; + 650,1400,0;10,-20,0;0,0,10;0,55,0;0,3,0; + 605,705,0;10,0,0;0,0,10;-20,20,0;0,3,0; + ]; +% 椭圆缝 +% fellip=[320,210,10;10,2,0;0,0,2;0,0,8;0,0,5; +% 280,300,10;10,2,0;0,0,2;0,0,10;0,0,4;]; +% 300,205,10;10,0,0;0,0,2;0,0,10;0,0,5]; +fellip=[]; +m=size(f,1);n=size(fellip,1);nf=(m+n)/5;%裂缝条数 +frac_information = fractureInformation_input_engineering_vector(f,fellip); +end +%% 输入方式3：二维输入 +% load('fractures_generated.mat'); +% fractureLines = fractures_generated; +if input_style==3 +fractureLines = [ + 105,150;105,350; + 205,150;205,350; + 305,150;305,350; + 405,150;405,350; + 505,150;505,350; + 605,150;605,350; + 705,150;705,350; + 805,150;805,350; + 905,150;905,350; + ]; +fellip=[]; % 椭圆缝 +fractureHeights = [ + 10;10;10;10;10;10;10;10;10]; +% 椭圆缝 +fellip=[]; +flowBarrierFlags = [];% flowBarrierFlags = [1;2;3;4]; +[f,frac_information] = input_fracture_2D(fractureLines,fractureHeights,flowBarrierFlags); +m=size(f,1);n=size(fellip,1);nf=(m+n)/5;%裂缝条数 +end +%% 输入方式4：从.fab文件读取 Frac_PT +if input_style==4 + +end + +%% ==================================PART 4: 基质网格及裂缝物性参数输入===================================== +% 1-- 单重介质 +% 2-- 双重介质（双孔双渗） +grid_model = 1; +if grid_model == 1 +r = grid_discretization_SP_model(modelflag, r, f, frac_information, fellip, nf); +end +if grid_model == 2 +r = grid_discretization_DP_model(modelflag, r, f, frac_information, fellip, nf); +end + +%% 生成向量化变成所需要的算子 +os = OperatorRS(r.N, r.nex, r.nc); + +%% ==================================PART 5: 模型类型选取及初始状态设定========================================= +% 1-- 气水两相流 +% 2-- 油水两相流 +flow_model = 2; +if flow_model == 1 +[f,state0] = gas_water_flow(r); +end +if flow_model == 2 +[f,state0] = oil_water_flow(r); +end +if flow_model == 3 +[f,state0] = multi_component_flow(r); +end + +%% ==================================PART 6: 井制度schedule设定================================================ +%将直井、水平井与多段压裂水平井分开处理 +%% 直井、常规水平井定义 +% Wellcpara: wellname(1) nperf，射孔点数量(2) index(3) rw(4) skin(5) welltype(6) +% welltype=1 直井，welltype=2 水平井沿x方向，welltype=3 水平井沿y方向 welltype=4 多段压裂水平井 +% 直井、水平井，该种井型的处理是将射孔段安排在基质网格 +% 对于直井、斜井、水平井，采取与eclipse一致的方式，给出其在基质网格中位置 +% 每个射孔点由下px,py,pz确定，分别表示该射孔点在x方向，y方向的网格编号，及层数即z反方向上的网格编号（最初是以垂直向上建立的基质网格） +well1={ + % 'w1', 2, [20 10 1;20 10 2;], 0.178/2, 0, 1; + % 'w2', 2, [80 10 1;80 10 2;], 0.178/2, 0, 1; + % 'w3', 1, [20 40 1;], 0.178/2, 0, 1; + % 'w4', 1, [80 40 1;], 0.178/2, 0, 1; +% 'w2', 3, [67 20 1;67 20 2;67 20 3], 0.178/2, 0, 1; + }; +well1 = handle_well1(well1,r); +%% 压裂水平井定义 +% 多段压裂水平井：射孔段设置在裂缝单元上，可以给出该射孔点所在的坐标，然后去寻找该点所在的裂缝单元编号 +num_fracture_wells = 1; +welloc = cell(num_fracture_wells,1); +perfnum = cell(num_fracture_wells,1); +welloc{1,1}=[ + 255,255,5; + 305,255,5; + 355,255,5; + 405,255,5; + 455,255,5; + 505,255,5; + 555,255,5; + 605,255,5; + 655,255,5; + 705,255,5; + 755,255,5; + ]; +for i = 1:num_fracture_wells +perfnum{i,1} = findWelloc(r, welloc{i,1});%在用以Wellc0之中 +end +% perfnum2 = findWelloc(r, welloc2); +well2={ + 'w1', length(perfnum{1,1}), perfnum{1,1}, 0.178/2, 0,4; + }; +Wellc = handle_well1_well2(well1,well2,welloc,r); %加井和射孔位置 +%% 井制度设置（开关井、定压/定产、便于吞吐等） +number_phases = 3; +well_schedules = cell(number_phases,1); +time = zeros(number_phases,1); +% 不同方式对应的收敛难度、需要不一样，需分阶段调控， +% 例如在注入阶段需要小一些，如果需要做早期试井，dtmax、dtmin都需要小一些 +dtmax = zeros(number_phases,1); +dtmin = zeros(number_phases,1); + +% (1)well state: 'open'表示该井是开的；'close'表明该井一直是关的，如果只是阶段性关井，就用'open'定流量0生产 +% (2)well type: 'pro'表示是生产井；'inj'表示是注入井; +% (3)protype：'const_q'是定流量；'const_pwf'则是定压 +% (4)value：定的流量值或者井底压力值 +% (5)value：此代码该值与（3）值相同 +time(1) = 10; dtmax(1) = 0.5; dtmin(1) = 0.001; +well_schedules{1,1} = { + % 'w1','open','inj','const_pwf',30,30; + % 'w2','open','inj','const_pwf',30,30; + % 'w3','open','inj','const_pwf',30,30; + % 'w4','open','inj','const_pwf',30,30; + 'w1','open','inj','const_pwf',40,40}; +time(2) = 30; dtmax(2) = 1; dtmin(2) = 0.001; +well_schedules{2,1} = { + 'w1','open','pro','const_q',0,0; + }; +time(3) = 200; dtmax(3) = 5; dtmin(3) = 0.001; +well_schedules{3,1} = { + 'w1','open','pro','const_pwf',10,10; + % 'w2','open','pro','const_pwf',10,10; + }; + +%% ======================================PART 7: Solver设置=========================================== +yitap = 5; % 50-500psi +yitas = 0.04; % 0.05-0.5 +omega = 0.5; % 0-1 +Nmax = 50; +epsave = 1e-6; +epsmax = 1e-6; +%% ======================================PART 8: 正式计算=========================================== +[Times, OutputRs, Wellpara, trun] = solver_NR(r, flow_model, f, os, state0, yitap,yitas,omega,Nmax,epsave,epsmax,dtmin,dtmax,Wellc,time,well_schedules); +run_time=toc; +trun.run_time=run_time; +end \ No newline at end of file diff --git a/算例5-油水两相流-注焖采/oil_water_flow.m b/算例5-油水两相流-注焖采/oil_water_flow.m new file mode 100644 index 0000000..2b37ab7 --- /dev/null +++ b/算例5-油水两相流-注焖采/oil_water_flow.m @@ -0,0 +1,126 @@ +function [f,state0] = oil_water_flow(r) +% =======================油相体积密度、体积系数、粘度等=============================== +density_o_sc = 800; % kg/m3 +% 第一种模式，直接输入参考压力、体积系数、压缩系数、粘度 +oil_model =1; +if oil_model == 1 +pro = 30; % reference pressure, MPa +Boi = 1.1; % gas phase volume factor +co = 1e-3 ;% gas phase compressibility, 1/MPa +voi = 10; % gas viscosity, cp +cvo = 0; % 气相粘度随压力变化的线性系数，cp/MPa +[Ppr,BO,MUO] = cal_oil_prop(pro,Boi,co,voi,cvo); +end +if oil_model == 2 +Ppr = [ 0.1013 + 2.0946 + 4.0878 + 6.0811 + 8.0743 + 10.0676 + 12.0608 + 14.0540 + 16.0473 + 18.0405 + 20.0338 + 22.0270 + 24.0203 + 26.0135 + 28.0068 + 30.0000 + ]; +% BO = 0.01*ones(size(Ppr,1),1); +BO = [ 1.18297 + 0.0557041 + 0.0278168 + 0.0182594 + 0.0134665 + 0.0106154 + 0.00874829 + 0.00744907 + 0.00650639 + 0.0058006 + 0.0052587 + 0.0048336 + 0.00449378 + 0.00421751 + 0.0039895 + 0.00379871 + ]; +% MUG = 0.01*ones(size(Ppr,1),1); +MUO = [0.0127683 + 0.0130191 + 0.0133973 + 0.013872 + 0.014437 + 0.015088 + 0.0158182 + 0.0166173 + 0.0174719 + 0.0183671 + 0.0192882 + 0.0202219 + 0.0211575 + 0.0220865 + 0.0230024 + 0.0239008 + ]; +end +% ========================水相体积系数、粘度=============================== +density_w_sc = 1000; % kg/m3 +prw = 30; % reference pressure, MPa +Bwi = 1.000; % water phase volume factor, 无因次 +cw = 4.0e-4 ;% water phase compressibility, 1/MPa +vwi = 1; % water viscosity, cp +cvw = 0; % 水相粘度随压力变化的线性系数，cp/MPa +% =============================基质相渗=============================== +ifpcow = 0; % 是否考虑毛管力 +PRM=[ + 0.0000 0.0000 1.0000 3.8916 +0.2000 0.0000 1.0000 3.8916 +0.3160 0.0002 0.6784 0.5796 +0.4350 0.0004 0.6215 0.3724 +0.5620 0.0010 0.5456 0.2425 +0.6140 0.0020 0.3939 0.0608 +0.7020 0.0280 0.1399 0.0372 +0.8120 0.1721 0.0515 0.0137 +0.8750 0.3395 0.0297 0.0104 +0.9060 0.4395 0.0 0.0090 +1.0 0.4395 0.0 0.0090 +]; +SW=PRM(:,1);KRW=PRM(:,2);KRO=PRM(:,3);PCOW=PRM(:,4); + +% =============================裂缝相渗=============================== +PRF=[ +0.0000 0.0000 1.0000 3.8916 +0.2000 0.0000 1.0000 3.8916 +0.3160 0.0002 0.6784 0.5796 +0.4350 0.0004 0.6215 0.3724 +0.5620 0.0010 0.5456 0.2425 +0.6140 0.0020 0.3939 0.0608 +0.7020 0.0280 0.1399 0.0372 +0.8120 0.1721 0.0515 0.0137 +0.8750 0.3395 0.0297 0.0104 +0.9060 0.4395 0.0 0.0090 +1.0 0.4395 0.0 0.0090 +]; +SWF = PRF(:,1);KRWF = PRF(:,2);KROF = PRF(:,3);PCOWF=PRF(:,4); +%% +% ===================== 高速非达西流 Forchheimer 方程 ==================== +beta_non_Darcy_flow = 0; % 1e-8 +% ===================== 启动压力梯度 ==================== +p_grad_threshold = 0.00; % MPa/m +%% 结合流体性质参数生成相应的数据体 +f = fluidPVT_oil_water_flow(Ppr, BO, MUO, Bwi, prw, cw, vwi, cvw, SW, KRO, KRW, PCOW, SWF, KROF, KRWF, PCOWF, density_o_sc, ifpcow, r.rpt); +f.beta_non_Darcy_flow = beta_non_Darcy_flow; +f.Dwsi = density_w_sc; +f.Dosi = density_o_sc; +f.p_grad_threshold = p_grad_threshold; +%% 初值条件 Initial Condition Section +% =================压力、饱和度初值======================================= % +%压力初值要考虑重力，给出油藏下表面压力值 +P = [20 * ones(r.nmc, 1); 20 * ones(r.nfc, 1)]; +% plow=25; % P =plow-1e-6*800*9.8*r.z; +Sw = [0.2 * ones(r.nmc, 1); 0.2 * ones(r.nfc, 1)]; +state0 = initialRS_oil_water_flow(P, Sw); +end \ No newline at end of file diff --git a/算例5-油水两相流-注焖采/plotWellResponse.m b/算例5-油水两相流-注焖采/plotWellResponse.m new file mode 100644 index 0000000..fcd76ee --- /dev/null +++ b/算例5-油水两相流-注焖采/plotWellResponse.m @@ -0,0 +1,55 @@ +function [] = plotWellResponse(Times,Wellpara) +% +wellNumber = 1; % +dataType = 'OPR'; % ͣٶ GPRٶ OPR, ˮٶ WPRѹ BHPѹ dPWF +% +t = Times; +n= size(Times,1); +% para = cell2mat(Wellpara); +nw = wellNumber;%ѡ +% n = length(para); +data = zeros(n,1); +if strcmp(dataType, 'GPR') + for i = 1 : n + data(i) = Wellpara{i}{1,nw}.qg; + figureYlegend = 'Gas production rate, m^3/d'; + end + plot(t,data,'k^-');hold off; xlabel('Time, day');ylabel(figureYlegend); +end +if strcmp(dataType, 'OPR') + for i = 1 : n + data(i) = Wellpara{i}{1,nw}.qo; + figureYlegend = 'Oil production rate, m^3/d'; + end + plot(t,data,'k^-');hold off; xlabel('Time, day');ylabel(figureYlegend); +end +if strcmp(dataType, 'WPR') + for i = 1 : n + data(i) = Wellpara{i}{1,nw}.qw; + figureYlegend = 'Water production rate, m^3/d'; + end + plot(t,data,'k^-');hold off; xlabel('Time, day');ylabel(figureYlegend); +end +if strcmp(dataType, 'BHP') + for i = 1 : n + data(i) = Wellpara{i}{1,nw}.pwf; + figureYlegend = 'BHP, MPa'; + end + plot(t,data,'k^-');hold off; xlabel('Time, day');ylabel(figureYlegend); +end +if strcmp(dataType, 'dPWF') % dpwf/dlnt = t*dpwf/dt + for i = 1 : n + if i == 1 + data(i) = (Wellpara{i+1}{1,nw}.pwf-Wellpara{i}{1,nw}.pwf)/(log(t(i+1))-log(t(i))); + elseif i == n + data(i) = (Wellpara{i}{1,nw}.pwf-Wellpara{i-1}{1,nw}.pwf)/(log(t(i))-log(t(i-1))); + else + data(i) = (Wellpara{i+1}{1,nw}.pwf-Wellpara{i-1}{1,nw}.pwf)/(log(t(i+1))-log(t(i-1))); + end + figureYlegend = 'Pressure derivative, MPa'; + end + plot(t,data,'k^-');hold off; xlabel('Time, day');ylabel(figureYlegend); + set(gca, 'XScale', 'log'); + set(gca, 'YScale', 'log'); +end +end \ No newline at end of file diff --git a/算例6-油水两相流-直井注压裂水平井采/grid_discretization_SP_model.m b/算例6-油水两相流-直井注压裂水平井采/grid_discretization_SP_model.m new file mode 100644 index 0000000..5469bbc --- /dev/null +++ b/算例6-油水两相流-直井注压裂水平井采/grid_discretization_SP_model.m @@ -0,0 +1,55 @@ +function r = grid_discretization_SP_model(modelflag, r, f, frac_information, fellip, nf) +% 数据读取 +nx = r.nx; ny = r.ny; nz = r.nz; NTG = r.NTG; cell_mid_coords = r.cell_mid_coords; +% 基质孔渗 +density_rock = 2700; % 岩石密度，kg/m^3 +kx = 1*1e-3 * ones(nx*ny*nz, 1); % 达西，D +ky = 1*1e-3 * ones(nx*ny*nz, 1);% +kz = 1*1e-3 * ones(nx*ny*nz, 1);% +pori = 0.08 * ones(nx*ny*nz, 1);% +prpor = 20; % 参考压力，MPa +cpor = 1.0e-5;% 基质压缩系数，,MPa +% 有效网格 +valid_grids = ones(nx*ny*nz, 1); +invalid_layer = []; % 将第二层无效网格 +for i = 1:length(invalid_layer) + grid_numbering_range = ((invalid_layer(i)-1)*nx*ny+1:invalid_layer(i)*nx*ny)'; + valid_grids(grid_numbering_range,1) = 0; +end +% SRV区域定义 +% % % base_x=23:78; nx_SRV=length(base_x); +% % % base_y=15:36; ny_SRV=length(base_y); +% % % base_z=1:1;nz_SRV=length(base_z); +% % % SRV=[]; +% % % for k=1:nz_SRV +% % % for j=1:ny_SRV +% % % for i=1:nx_SRV +% % % SRV=[SRV;(base_z(k)-1)*nx*ny+(base_y(j)-1)*nx+base_x(i)]; +% % % end +% % % end +% % % end +% % % % SRV渗透率赋值 +% % % kx(SRV)=0.001*1e-3 * ones(length(SRV), 1); +% % % ky(SRV)=0.001*1e-3 * ones(length(SRV), 1); +% % % kz(SRV)=0.001*1e-3 * ones(length(SRV), 1); +% 裂缝孔渗 +Kf = 10000*1e-3*ones(1,nf);% 裂缝渗透率 +Wf = 1e-2*ones(1,nf);% 裂缝开度 +Porf = 0.30*ones(1,nf);% 裂缝孔隙度 +prporf = 20;% 裂缝系统参考压力 +cporf = 1.0e-5;% 裂缝系统压缩系数 +% 应力敏感 +stress_factor_fracture = 0.000; % 1/MPa 0.001 +stress_factor_matrix = 0.000; % 1/MPa +stress_factor_ref_pressure = 20; % 一般取为原始地层压力MPa +% +Rpt = 2;cf = 1;ca = 1; +%% 结合基质、裂缝的几何及物性信息开展前处理 +% r = GridProp(modelflag, nx, ny, nz, dx, dy, dz, kx, ky, kz, f, fellip, Kf, Wf, pori, prpor, cpor, Porf, prporf, cporf, cf, ca,co, NTG); +r = GridProp_new(modelflag, r, kx, ky, kz, f, frac_information, fellip, Kf, Wf, pori, prpor, cpor, Porf, prporf, cporf, cf, ca, valid_grids); +r.density_rock = density_rock; +r.valid_grids = valid_grids; +r.stress_factor_fracture = stress_factor_fracture; +r.stress_factor_matrix = stress_factor_matrix; +r.stress_factor_ref_pressure = stress_factor_ref_pressure; +end \ No newline at end of file diff --git a/算例6-油水两相流-直井注压裂水平井采/main1.m b/算例6-油水两相流-直井注压裂水平井采/main1.m new file mode 100644 index 0000000..99df1fa --- /dev/null +++ b/算例6-油水两相流-直井注压裂水平井采/main1.m @@ -0,0 +1,196 @@ +function [ r, Times, OutputRs, Wellpara, trun ] = main1() +%% ==================================PART 1: 模型选取======================================== +% 1-- classical EDFM +modelflag = 1;% 此处固定为1即可 +%% ==================================PART 2: 基质网格定义===================================== +dx=[10*ones(1,100) ];nx=size(dx,2); +dy=[10*ones(1,50) ];ny=size(dy,2); +dz=[10*ones(1,2)];nz=size(dz,2); +NTG= 1*ones(nx*ny*nz,1); +r = GridProp_pre(dx, dy,dz,nx,ny,nz,NTG); +%% ==================================PART 3: 裂缝分布数据输入===================================== +% 四种输入方式: 1表示工程应用输入；2表示向量输入；3表示工程应用输入，包括基准点、倾角、方位角、抬升角；4表示从.fab文件读取 +input_style = 1; +%% 输入方式1：工程应用输入 +%仅能刻画具有双对称性质的矩形缝或椭圆缝 +% 基准点坐标（1），方位角（2），倾角（3），抬升角（4），缝长（椭圆长轴长）（5），缝高（椭圆短轴长）（6），类型1是矩形缝、2是椭圆缝（7） +if input_style==1 +input_content={ + [255,255,5],90,90,0,200,10,1; + [305,255,5],90,90,0,200,10,1; + [355,255,5],90,90,0,200,10,1; + [405,255,5],90,90,0,200,10,1; + [455,255,5],90,90,0,200,10,1; + [505,255,5],90,90,0,200,10,1; + [555,255,15],90,90,0,200,10,1; + [605,255,15],90,90,0,200,10,1; + [655,255,15],90,90,0,200,10,1; + [705,255,15],90,90,0,200,10,1; + [755,255,15],90,90,0,200,10,1; + }; +[f,fellip] = sort_fracture(input_content); +flowBarrierFlags = []; +m=size(f,1);n=size(fellip,1);nf=(m+n)/5; +frac_information = fractureInformation_input_engineering_vector(f,fellip,flowBarrierFlags); +end +%% 输入方式2：向量输入 +%首先对矩形缝进行研究，裂缝参数包括三个向量和两个参数的取值范围，如果是其它类型缝，则是两个参数间的函数关系 +%因此一个5行三列的矩阵可以确定一条裂缝 +%向量分量可为非整数，以此保证参数范围的取值为整数即可， +%故可先随意确定为整数的参数范围，再根据缝长缝高去确定向量分量的取值 +% 矩形缝 +if input_style==2 + f=[ + 0,1200,0;10,-20,0;0,0,10;0,60,0;0,3,0; + 0,1200,0;10,20,0;0,0,10;0,15,0;0,3,0; + 150,1500,0;20,-10,0;0,0,10;0,20,0;0,3,0; + 550,1300,0;10,10,0;0,0,10;0,10,0;0,3,0; + 650,1400,0;10,-20,0;0,0,10;0,55,0;0,3,0; + 605,705,0;10,0,0;0,0,10;-20,20,0;0,3,0; + ]; +% 椭圆缝 +% fellip=[320,210,10;10,2,0;0,0,2;0,0,8;0,0,5; +% 280,300,10;10,2,0;0,0,2;0,0,10;0,0,4;]; +% 300,205,10;10,0,0;0,0,2;0,0,10;0,0,5]; +fellip=[]; +m=size(f,1);n=size(fellip,1);nf=(m+n)/5;%裂缝条数 +frac_information = fractureInformation_input_engineering_vector(f,fellip); +end +%% 输入方式3：二维输入 +% load('fractures_generated.mat'); +% fractureLines = fractures_generated; +if input_style==3 +fractureLines = [ + 105,150;105,350; + 205,150;205,350; + 305,150;305,350; + 405,150;405,350; + 505,150;505,350; + 605,150;605,350; + 705,150;705,350; + 805,150;805,350; + 905,150;905,350; + ]; +fellip=[]; % 椭圆缝 +fractureHeights = [ + 10;10;10;10;10;10;10;10;10]; +% 椭圆缝 +fellip=[]; +flowBarrierFlags = [];% flowBarrierFlags = [1;2;3;4]; +[f,frac_information] = input_fracture_2D(fractureLines,fractureHeights,flowBarrierFlags); +m=size(f,1);n=size(fellip,1);nf=(m+n)/5;%裂缝条数 +end +%% 输入方式4：从.fab文件读取 Frac_PT +if input_style==4 + +end + +%% ==================================PART 4: 基质网格及裂缝物性参数输入===================================== +% 1-- 单重介质 +% 2-- 双重介质（双孔双渗） +grid_model = 1; +if grid_model == 1 +r = grid_discretization_SP_model(modelflag, r, f, frac_information, fellip, nf); +end +if grid_model == 2 +r = grid_discretization_DP_model(modelflag, r, f, frac_information, fellip, nf); +end + +%% 生成向量化变成所需要的算子 +os = OperatorRS(r.N, r.nex, r.nc); + +%% ==================================PART 5: 模型类型选取及初始状态设定========================================= +% 1-- 气水两相流 +% 2-- 油水两相流 +flow_model = 2; +if flow_model == 1 +[f,state0] = gas_water_flow(r); +end +if flow_model == 2 +[f,state0] = oil_water_flow(r); +end +if flow_model == 3 +[f,state0] = multi_component_flow(r); +end + +%% ==================================PART 6: 井制度schedule设定================================================ +%将直井、水平井与多段压裂水平井分开处理 +%% 直井、常规水平井定义 +% Wellcpara: wellname(1) nperf，射孔点数量(2) index(3) rw(4) skin(5) welltype(6) +% welltype=1 直井，welltype=2 水平井沿x方向，welltype=3 水平井沿y方向 welltype=4 多段压裂水平井 +% 直井、水平井，该种井型的处理是将射孔段安排在基质网格 +% 对于直井、斜井、水平井，采取与eclipse一致的方式，给出其在基质网格中位置 +% 每个射孔点由下px,py,pz确定，分别表示该射孔点在x方向，y方向的网格编号，及层数即z反方向上的网格编号（最初是以垂直向上建立的基质网格） +well1={ + 'w1', 2, [20 10 1;20 10 2;], 0.178/2, 0, 1; + 'w2', 2, [80 10 1;80 10 2;], 0.178/2, 0, 1; + 'w3', 1, [20 40 1;], 0.178/2, 0, 1; + 'w4', 1, [80 40 1;], 0.178/2, 0, 1; + }; +well1 = handle_well1(well1,r); +%% 压裂水平井定义 +% 多段压裂水平井：射孔段设置在裂缝单元上，可以给出该射孔点所在的坐标，然后去寻找该点所在的裂缝单元编号 +num_fracture_wells = 1; +welloc = cell(num_fracture_wells,1); +perfnum = cell(num_fracture_wells,1); +welloc{1,1}=[ + 255,255,5; + 305,255,5; + 355,255,5; + 405,255,5; + 455,255,5; + 505,255,5; + 555,255,15; + 605,255,15; + 655,255,15; + 705,255,15; + 755,255,15; + ]; +for i = 1:num_fracture_wells +perfnum{i,1} = findWelloc(r, welloc{i,1});%在用以Wellc0之中 +end +% perfnum2 = findWelloc(r, welloc2); +well2={ + 'w1', length(perfnum{1,1}), perfnum{1,1}, 0.178/2, 0,4; + }; +Wellc = handle_well1_well2(well1,well2,welloc,r); %加井和射孔位置 +%% 井制度设置（开关井、定压/定产、便于吞吐等） +number_phases = 1; +well_schedules = cell(number_phases,1); +time = zeros(number_phases,1); +% 不同方式对应的收敛难度、需要不一样，需分阶段调控， +% 例如在注入阶段需要小一些，如果需要做早期试井，dtmax、dtmin都需要小一些 +dtmax = zeros(number_phases,1); +dtmin = zeros(number_phases,1); + +% (1)well state: 'open'表示该井是开的；'close'表明该井一直是关的，如果只是阶段性关井，就用'open'定流量0生产 +% (2)well type: 'pro'表示是生产井；'inj'表示是注入井; +% (3)protype：'const_q'是定流量；'const_pwf'则是定压 +% (4)value：定的流量值或者井底压力值 +% (5)value：此代码该值与（3）值相同 +time(1) = 200; dtmax(1) = 2; dtmin(1) = 0.001; +well_schedules{1,1} = { + 'w1','open','inj','const_pwf',35,35; + 'w2','open','inj','const_pwf',35,35; + 'w3','open','inj','const_pwf',35,35; + 'w4','open','inj','const_pwf',35,35; + 'w5','open','pro','const_pwf',10,10; + % 'w2','open','pro','const_pwf',10,10; + }; + +%% ======================================PART 7: Solver设置=========================================== +yitap = 5; % 50-500psi +yitas = 0.04; % 0.05-0.5 +omega = 0.5; % 0-1 +Nmax = 50; +epsave = 1e-6; +epsmax = 1e-6; +% dtmin = 0.001; +% dtmax = 10; +% dtmin = 0.000001; +% dtmax = 0.0001; +%% ======================================PART 8: 正式计算=========================================== +[Times, OutputRs, Wellpara, trun] = solver_NR(r, flow_model, f, os, state0, yitap,yitas,omega,Nmax,epsave,epsmax,dtmin,dtmax,Wellc,time,well_schedules); +run_time=toc; +trun.run_time=run_time; +end \ No newline at end of file diff --git a/算例6-油水两相流-直井注压裂水平井采/oil_water_flow.m b/算例6-油水两相流-直井注压裂水平井采/oil_water_flow.m new file mode 100644 index 0000000..2b37ab7 --- /dev/null +++ b/算例6-油水两相流-直井注压裂水平井采/oil_water_flow.m @@ -0,0 +1,126 @@ +function [f,state0] = oil_water_flow(r) +% =======================油相体积密度、体积系数、粘度等=============================== +density_o_sc = 800; % kg/m3 +% 第一种模式，直接输入参考压力、体积系数、压缩系数、粘度 +oil_model =1; +if oil_model == 1 +pro = 30; % reference pressure, MPa +Boi = 1.1; % gas phase volume factor +co = 1e-3 ;% gas phase compressibility, 1/MPa +voi = 10; % gas viscosity, cp +cvo = 0; % 气相粘度随压力变化的线性系数，cp/MPa +[Ppr,BO,MUO] = cal_oil_prop(pro,Boi,co,voi,cvo); +end +if oil_model == 2 +Ppr = [ 0.1013 + 2.0946 + 4.0878 + 6.0811 + 8.0743 + 10.0676 + 12.0608 + 14.0540 + 16.0473 + 18.0405 + 20.0338 + 22.0270 + 24.0203 + 26.0135 + 28.0068 + 30.0000 + ]; +% BO = 0.01*ones(size(Ppr,1),1); +BO = [ 1.18297 + 0.0557041 + 0.0278168 + 0.0182594 + 0.0134665 + 0.0106154 + 0.00874829 + 0.00744907 + 0.00650639 + 0.0058006 + 0.0052587 + 0.0048336 + 0.00449378 + 0.00421751 + 0.0039895 + 0.00379871 + ]; +% MUG = 0.01*ones(size(Ppr,1),1); +MUO = [0.0127683 + 0.0130191 + 0.0133973 + 0.013872 + 0.014437 + 0.015088 + 0.0158182 + 0.0166173 + 0.0174719 + 0.0183671 + 0.0192882 + 0.0202219 + 0.0211575 + 0.0220865 + 0.0230024 + 0.0239008 + ]; +end +% ========================水相体积系数、粘度=============================== +density_w_sc = 1000; % kg/m3 +prw = 30; % reference pressure, MPa +Bwi = 1.000; % water phase volume factor, 无因次 +cw = 4.0e-4 ;% water phase compressibility, 1/MPa +vwi = 1; % water viscosity, cp +cvw = 0; % 水相粘度随压力变化的线性系数，cp/MPa +% =============================基质相渗=============================== +ifpcow = 0; % 是否考虑毛管力 +PRM=[ + 0.0000 0.0000 1.0000 3.8916 +0.2000 0.0000 1.0000 3.8916 +0.3160 0.0002 0.6784 0.5796 +0.4350 0.0004 0.6215 0.3724 +0.5620 0.0010 0.5456 0.2425 +0.6140 0.0020 0.3939 0.0608 +0.7020 0.0280 0.1399 0.0372 +0.8120 0.1721 0.0515 0.0137 +0.8750 0.3395 0.0297 0.0104 +0.9060 0.4395 0.0 0.0090 +1.0 0.4395 0.0 0.0090 +]; +SW=PRM(:,1);KRW=PRM(:,2);KRO=PRM(:,3);PCOW=PRM(:,4); + +% =============================裂缝相渗=============================== +PRF=[ +0.0000 0.0000 1.0000 3.8916 +0.2000 0.0000 1.0000 3.8916 +0.3160 0.0002 0.6784 0.5796 +0.4350 0.0004 0.6215 0.3724 +0.5620 0.0010 0.5456 0.2425 +0.6140 0.0020 0.3939 0.0608 +0.7020 0.0280 0.1399 0.0372 +0.8120 0.1721 0.0515 0.0137 +0.8750 0.3395 0.0297 0.0104 +0.9060 0.4395 0.0 0.0090 +1.0 0.4395 0.0 0.0090 +]; +SWF = PRF(:,1);KRWF = PRF(:,2);KROF = PRF(:,3);PCOWF=PRF(:,4); +%% +% ===================== 高速非达西流 Forchheimer 方程 ==================== +beta_non_Darcy_flow = 0; % 1e-8 +% ===================== 启动压力梯度 ==================== +p_grad_threshold = 0.00; % MPa/m +%% 结合流体性质参数生成相应的数据体 +f = fluidPVT_oil_water_flow(Ppr, BO, MUO, Bwi, prw, cw, vwi, cvw, SW, KRO, KRW, PCOW, SWF, KROF, KRWF, PCOWF, density_o_sc, ifpcow, r.rpt); +f.beta_non_Darcy_flow = beta_non_Darcy_flow; +f.Dwsi = density_w_sc; +f.Dosi = density_o_sc; +f.p_grad_threshold = p_grad_threshold; +%% 初值条件 Initial Condition Section +% =================压力、饱和度初值======================================= % +%压力初值要考虑重力，给出油藏下表面压力值 +P = [20 * ones(r.nmc, 1); 20 * ones(r.nfc, 1)]; +% plow=25; % P =plow-1e-6*800*9.8*r.z; +Sw = [0.2 * ones(r.nmc, 1); 0.2 * ones(r.nfc, 1)]; +state0 = initialRS_oil_water_flow(P, Sw); +end \ No newline at end of file diff --git a/算例6-油水两相流-直井注压裂水平井采/plotWellResponse.m b/算例6-油水两相流-直井注压裂水平井采/plotWellResponse.m new file mode 100644 index 0000000..b3bcc97 --- /dev/null +++ b/算例6-油水两相流-直井注压裂水平井采/plotWellResponse.m @@ -0,0 +1,55 @@ +function [] = plotWellResponse(Times,Wellpara) +% +wellNumber = 1; % +dataType = 'dPWF'; % ͣٶ GPRٶ OPR, ˮٶ WPRѹ BHPѹ dPWF +% +t = Times; +n= size(Times,1); +% para = cell2mat(Wellpara); +nw = wellNumber;%ѡ +% n = length(para); +data = zeros(n,1); +if strcmp(dataType, 'GPR') + for i = 1 : n + data(i) = Wellpara{i}{1,nw}.qg; + figureYlegend = 'Gas production rate, m^3/d'; + end + plot(t,data,'k^-');hold off; xlabel('Time, day');ylabel(figureYlegend); +end +if strcmp(dataType, 'OPR') + for i = 1 : n + data(i) = Wellpara{i}{1,nw}.qo; + figureYlegend = 'Oil production rate, m^3/d'; + end + plot(t,data,'k^-');hold off; xlabel('Time, day');ylabel(figureYlegend); +end +if strcmp(dataType, 'WPR') + for i = 1 : n + data(i) = Wellpara{i}{1,nw}.qw; + figureYlegend = 'Water production rate, m^3/d'; + end + plot(t,data,'k^-');hold off; xlabel('Time, day');ylabel(figureYlegend); +end +if strcmp(dataType, 'BHP') + for i = 1 : n + data(i) = Wellpara{i}{1,nw}.pwf; + figureYlegend = 'BHP, MPa'; + end + plot(t,data,'k^-');hold off; xlabel('Time, day');ylabel(figureYlegend); +end +if strcmp(dataType, 'dPWF') % dpwf/dlnt = t*dpwf/dt + for i = 1 : n + if i == 1 + data(i) = (Wellpara{i+1}{1,nw}.pwf-Wellpara{i}{1,nw}.pwf)/(log(t(i+1))-log(t(i))); + elseif i == n + data(i) = (Wellpara{i}{1,nw}.pwf-Wellpara{i-1}{1,nw}.pwf)/(log(t(i))-log(t(i-1))); + else + data(i) = (Wellpara{i+1}{1,nw}.pwf-Wellpara{i-1}{1,nw}.pwf)/(log(t(i+1))-log(t(i-1))); + end + figureYlegend = 'Pressure derivative, MPa'; + end + plot(t,data,'k^-');hold off; xlabel('Time, day');ylabel(figureYlegend); + set(gca, 'XScale', 'log'); + set(gca, 'YScale', 'log'); +end +end \ No newline at end of file diff --git a/算例6-油水两相流-直井注压裂水平井采/plot_2D_layer.m b/算例6-油水两相流-直井注压裂水平井采/plot_2D_layer.m new file mode 100644 index 0000000..0d45394 --- /dev/null +++ b/算例6-油水两相流-直井注压裂水平井采/plot_2D_layer.m @@ -0,0 +1,50 @@ +function plot_2D_layer(i, k, r, OutputRs, type) +coordinate=r.coordinates; +nodes=r.nodes; +nz=r.nz; +nx=r.nx; +ny=r.ny; +nmc = size(nodes,1); +% nel = size(nodes,2); +nel = 4; +if type == 1 +% v = r.kx; + v = OutputRs{i}.p; +else + v = 1-OutputRs{i}.sw;%Ͷ +end +dis = zeros(nel, nx*ny); +x = zeros(nel, nx*ny); +y = zeros(nel, nx*ny); +for i = 1 :nx*ny + for j = 1 :nel + grid_numbering = i+(nz-k)*nx*ny; + x(j, i) = coordinate(nodes(grid_numbering,j), 1); + y(j, i) = coordinate(nodes(grid_numbering,j), 2); + if j == 3 + x(j, i) = coordinate(nodes(grid_numbering,4), 1); + y(j, i) = coordinate(nodes(grid_numbering,4), 2); + end + if j == 4 + x(j, i) = coordinate(nodes(grid_numbering,3), 1); + y(j, i) = coordinate(nodes(grid_numbering,3), 2); + end + dis(j, i) = v(grid_numbering); + end +end +% fill(x,y,dis,'EdgeAlpha',1); +figure('color','w'); +fill(x,y,dis,'EdgeColor','interp'); +xlabel('x, m','FontSize',14); +ylabel('y, m','FontSize',14); +ax = gca; +ax.FontSize = 14; +axis equal; +axis tight +% xlim([0,60]); +% ylim([0,60]); +% clim([10,15]); +colorbar +colormap jet +% fill(x,y,dis); +% axis off diff --git a/算例6-油水两相流-直井注压裂水平井采/plot_3D_dis.m b/算例6-油水两相流-直井注压裂水平井采/plot_3D_dis.m new file mode 100644 index 0000000..6674f45 --- /dev/null +++ b/算例6-油水两相流-直井注压裂水平井采/plot_3D_dis.m @@ -0,0 +1,144 @@ +function plot_3D_dis(i, r,OutputRs, type) +%Ϊͼǰ +figure('color','w') +[ downgrid, frontgrid ,leftgrid, rightgrid, backgrid, upgrid ] = preplot_dis( r ); +coordinate=r.coordinates; +nodes=r.nodes; +% nmc = size(nodes,1);% +% % nel = size(nodes,2);%ÿĵ +% order=[1,2,4,3,1,5,6,8,7,3,4,8,6,2,1];%fillͼ +% nel=size(order,2); +if type == 1 + v = OutputRs{i}.p; +elseif type == 2 + v = 1-OutputRs{i}.sw;%ͱͶ +elseif type == 3 + v = OutputRs{i}.sg;%ͱͶ +else + v = OutputRs{i}.sw;%ͱͶ +end +% +order=[1,2,4,3,1]; +nel=size(order,2); +nmc=size(downgrid,2); +dis = zeros(nel, nmc); +x = zeros(nel, nmc); +y = zeros(nel, nmc); +z = zeros(nel, nmc); +for i = 1 : nmc + for j = 1 : nel + x(j, i) = coordinate(nodes(downgrid(i),order(j)), 1); + y(j, i) = coordinate(nodes(downgrid(i),order(j)), 2); + z(j, i) = coordinate(nodes(downgrid(i),order(j)), 3)-max(coordinate(:,3))-2000; + dis(j, i) = v(downgrid(i)); + end +end +fill3(x,y,z,dis,'edgeColor','interp'); +hold on + +% +order=[1,5,7,3,1]; +nel=size(order,2); +nmc=size(leftgrid,2); +dis = zeros(nel, nmc); +x = zeros(nel, nmc); +y = zeros(nel, nmc); +z = zeros(nel, nmc); +for i = 1 : nmc + for j = 1 : nel + x(j, i) = coordinate(nodes(leftgrid(i),order(j)), 1); + y(j, i) = coordinate(nodes(leftgrid(i),order(j)), 2); + z(j, i) = coordinate(nodes(leftgrid(i),order(j)), 3)-max(coordinate(:,3))-2000; + dis(j, i) = v(leftgrid(i)); + end +end +fill3(x,y,z,dis,'edgeColor','interp'); + +% +order=[2,4,8,6,2]; +nel=size(order,2); +nmc=size(rightgrid,2); +dis = zeros(nel, nmc); +x = zeros(nel, nmc); +y = zeros(nel, nmc); +z = zeros(nel, nmc); +for i = 1 : nmc + for j = 1 : nel + x(j, i) = coordinate(nodes(rightgrid(i),order(j)), 1); + y(j, i) = coordinate(nodes(rightgrid(i),order(j)), 2); + z(j, i) = coordinate(nodes(rightgrid(i),order(j)), 3)-max(coordinate(:,3))-2000; + dis(j, i) = v(rightgrid(i)); + end +end +fill3(x,y,z,dis,'edgeColor','interp'); + +%ǰ +order=[1,2,6,5,1]; +nel=size(order,2); +nmc=size(frontgrid,2); +dis = zeros(nel, nmc); +x = zeros(nel, nmc); +y = zeros(nel, nmc); +z = zeros(nel, nmc); +for i = 1 : nmc + for j = 1 : nel + x(j, i) = coordinate(nodes(frontgrid(i),order(j)), 1); + y(j, i) = coordinate(nodes(frontgrid(i),order(j)), 2); + z(j, i) = coordinate(nodes(frontgrid(i),order(j)), 3)-max(coordinate(:,3))-2000; + dis(j, i) = v(frontgrid(i)); + end +end +fill3(x,y,z,dis,'edgeColor','interp'); + +% +order=[3,4,8,7,3]; +nel=size(order,2); +nmc=size(backgrid,2); +dis = zeros(nel, nmc); +x = zeros(nel, nmc); +y = zeros(nel, nmc); +z = zeros(nel, nmc); +for i = 1 : nmc + for j = 1 : nel + x(j, i) = coordinate(nodes(backgrid(i),order(j)), 1); + y(j, i) = coordinate(nodes(backgrid(i),order(j)), 2); + z(j, i) = coordinate(nodes(backgrid(i),order(j)), 3)-max(coordinate(:,3))-2000; + dis(j, i) = v(backgrid(i)); + end +end +fill3(x,y,z,dis,'edgeColor','interp'); + +% +order=[5,6,8,7,5]; +nel=size(order,2); +nmc=size(upgrid,2); +dis = zeros(nel, nmc); +x = zeros(nel, nmc); +y = zeros(nel, nmc); +z = zeros(nel, nmc); +for i = 1 : nmc + for j = 1 : nel + x(j, i) = coordinate(nodes(upgrid(i),order(j)), 1); + y(j, i) = coordinate(nodes(upgrid(i),order(j)), 2); + z(j, i) = coordinate(nodes(upgrid(i),order(j)), 3)-max(coordinate(:,3))-2000; + dis(j, i) = v(upgrid(i)); + end +end +fill3(x,y,z,dis,'edgeColor','interp'); +set(gca,'FontName','Times New Roman','FontSize',10,'FontWeight','bold'); +xlabel('x, m'); +ylabel('y, m'); +zlabel('z, m'); +view(3); +% Ͳؿ +% plotframe( r ); +alpha(1) +% caxis([0.2,0.8]); +caxis([10,13]); +% caxis([12,22]); +colormap jet +colorbar +% zlim([-2020,-2000]); +% axis equal +axis tight + diff --git a/算例7-油水两相流-不同裂缝制度不同/grid_discretization_SP_model.m b/算例7-油水两相流-不同裂缝制度不同/grid_discretization_SP_model.m new file mode 100644 index 0000000..fe08427 --- /dev/null +++ b/算例7-油水两相流-不同裂缝制度不同/grid_discretization_SP_model.m @@ -0,0 +1,55 @@ +function r = grid_discretization_SP_model(modelflag, r, f, frac_information, fellip, nf) +% 数据读取 +nx = r.nx; ny = r.ny; nz = r.nz; NTG = r.NTG; cell_mid_coords = r.cell_mid_coords; +% 基质孔渗 +rock_density = 2700; % 岩石密度，kg/m^3 +kx = 5*1e-3 * ones(nx*ny*nz, 1); % 达西，D +ky = 5*1e-3 * ones(nx*ny*nz, 1);% +kz = 5*1e-3 * ones(nx*ny*nz, 1);% +pori = 0.01 * ones(nx*ny*nz, 1);% +prpor = 20; % 参考压力，MPa +cpor = 1.0e-5;% 基质压缩系数，,MPa +% 有效网格 +valid_grids = ones(nx*ny*nz, 1); +invalid_layer = []; % 将第二层无效网格 +for i = 1:length(invalid_layer) + grid_numbering_range = ((invalid_layer(i)-1)*nx*ny+1:invalid_layer(i)*nx*ny)'; + valid_grids(grid_numbering_range,1) = 0; +end +% SRV区域定义 +% % % base_x=23:78; nx_SRV=length(base_x); +% % % base_y=15:36; ny_SRV=length(base_y); +% % % base_z=1:1;nz_SRV=length(base_z); +% % % SRV=[]; +% % % for k=1:nz_SRV +% % % for j=1:ny_SRV +% % % for i=1:nx_SRV +% % % SRV=[SRV;(base_z(k)-1)*nx*ny+(base_y(j)-1)*nx+base_x(i)]; +% % % end +% % % end +% % % end +% % % % SRV渗透率赋值 +% % % kx(SRV)=0.001*1e-3 * ones(length(SRV), 1); +% % % ky(SRV)=0.001*1e-3 * ones(length(SRV), 1); +% % % kz(SRV)=0.001*1e-3 * ones(length(SRV), 1); +% 裂缝孔渗 +Kf = 10000*1e-3*ones(1,nf);% 裂缝渗透率 +Wf = 1e-2*ones(1,nf);% 裂缝开度 +Porf = 0.30*ones(1,nf);% 裂缝孔隙度 +prporf = 20;% 裂缝系统参考压力 +cporf = 1.0e-5;% 裂缝系统压缩系数 +% 应力敏感 +stress_factor_fracture = 0.000; % 1/MPa 0.001 +stress_factor_matrix = 0.000; % 1/MPa +stress_factor_ref_pressure = 20; % 一般取为原始地层压力MPa +% +Rpt = 2;cf = 1;ca = 1; +%% 结合基质、裂缝的几何及物性信息开展前处理 +% r = GridProp(modelflag, nx, ny, nz, dx, dy, dz, kx, ky, kz, f, fellip, Kf, Wf, pori, prpor, cpor, Porf, prporf, cporf, cf, ca,co, NTG); +r = GridProp_new(modelflag, r, kx, ky, kz, f, frac_information, fellip, Kf, Wf, pori, prpor, cpor, Porf, prporf, cporf, cf, ca, valid_grids); +r.rock_density = rock_density; +r.valid_grids = valid_grids; +r.stress_factor_fracture = stress_factor_fracture; +r.stress_factor_matrix = stress_factor_matrix; +r.stress_factor_ref_pressure = stress_factor_ref_pressure; +end \ No newline at end of file diff --git a/算例7-油水两相流-不同裂缝制度不同/main1.m b/算例7-油水两相流-不同裂缝制度不同/main1.m new file mode 100644 index 0000000..e13eafe --- /dev/null +++ b/算例7-油水两相流-不同裂缝制度不同/main1.m @@ -0,0 +1,219 @@ +function [ r, Times, OutputRs, Wellpara, trun ] = main1() +%% ==================================PART 1: 模型选取======================================== +% 1-- classical EDFM +modelflag = 1;% 此处固定为1即可 +%% ==================================PART 2: 基质网格定义===================================== +dx=[10*ones(1,100) ];nx=size(dx,2); +dy=[10*ones(1,50) ];ny=size(dy,2); +dz=[10*ones(1,1)];nz=size(dz,2); +NTG= 1*ones(nx*ny*nz,1); +r = GridProp_pre(dx,dy,dz,nx,ny,nz,NTG); +%% ==================================PART 3: 裂缝分布数据输入===================================== +% 四种输入方式: 1表示工程应用输入；2表示向量输入；3表示工程应用输入，包括基准点、倾角、方位角、抬升角；4表示从.fab文件读取 +input_style = 1; +%% 输入方式1：工程应用输入 +%仅能刻画具有双对称性质的矩形缝或椭圆缝 +% 基准点坐标（1），方位角（2），倾角（3），抬升角（4），缝长（椭圆长轴长）（5），缝高（椭圆短轴长）（6），类型1是矩形缝、2是椭圆缝（7） +if input_style==1 +input_content={ + [255,255,5],90,90,0,200,10,1; + [355,255,5],90,90,0,200,10,1; + [455,255,5],90,90,0,200,10,1; + [555,255,5],90,90,0,200,10,1; + [655,255,5],90,90,0,200,10,1; + [755,255,5],90,90,0,200,10,1; + }; +[f,fellip] = sort_fracture(input_content); +flowBarrierFlags = []; +m=size(f,1);n=size(fellip,1);nf=(m+n)/5; +frac_information = fractureInformation_input_engineering_vector(f,fellip,flowBarrierFlags); +end +%% 输入方式2：向量输入 +%首先对矩形缝进行研究，裂缝参数包括三个向量和两个参数的取值范围，如果是其它类型缝，则是两个参数间的函数关系 +%因此一个5行三列的矩阵可以确定一条裂缝 +%向量分量可为非整数，以此保证参数范围的取值为整数即可， +%故可先随意确定为整数的参数范围，再根据缝长缝高去确定向量分量的取值 +% 矩形缝 +if input_style==2 + f=[ + 0,1200,0;10,-20,0;0,0,10;0,60,0;0,3,0; + 0,1200,0;10,20,0;0,0,10;0,15,0;0,3,0; + 150,1500,0;20,-10,0;0,0,10;0,20,0;0,3,0; + 550,1300,0;10,10,0;0,0,10;0,10,0;0,3,0; + 650,1400,0;10,-20,0;0,0,10;0,55,0;0,3,0; + 605,705,0;10,0,0;0,0,10;-20,20,0;0,3,0; + ]; +% 椭圆缝 +% fellip=[320,210,10;10,2,0;0,0,2;0,0,8;0,0,5; +% 280,300,10;10,2,0;0,0,2;0,0,10;0,0,4;]; +% 300,205,10;10,0,0;0,0,2;0,0,10;0,0,5]; +fellip=[]; +m=size(f,1);n=size(fellip,1);nf=(m+n)/5;%裂缝条数 +frac_information = fractureInformation_input_engineering_vector(f,fellip); +end +%% 输入方式3：二维输入 +% load('fractures_generated.mat'); +% fractureLines = fractures_generated; +if input_style==3 +fractureLines = [ + 105,150;105,350; + 205,150;205,350; + 305,150;305,350; + 405,150;405,350; + 505,150;505,350; + 605,150;605,350; + 705,150;705,350; + 805,150;805,350; + 905,150;905,350; + ]; +fellip=[]; % 椭圆缝 +fractureHeights = [ + 10;10;10;10;10;10;10;10;10]; +% 椭圆缝 +fellip=[]; +flowBarrierFlags = [];% flowBarrierFlags = [1;2;3;4]; +[f,frac_information] = input_fracture_2D(fractureLines,fractureHeights,flowBarrierFlags); +m=size(f,1);n=size(fellip,1);nf=(m+n)/5;%裂缝条数 +end +%% 输入方式4：从.fab文件读取 Frac_PT +if input_style==4 + +end + +%% ==================================PART 4: 基质网格及裂缝物性参数输入===================================== +% 1-- 单重介质 +% 2-- 双重介质（双孔双渗） +grid_model = 1; +if grid_model == 1 +r = grid_discretization_SP_model(modelflag, r, f, frac_information, fellip, nf); +end +if grid_model == 2 +r = grid_discretization_DP_model(modelflag, r, f, frac_information, fellip, nf); +end + +%% 生成向量化变成所需要的算子 +os = OperatorRS(r.N, r.nex, r.nc); + +%% ==================================PART 5: 模型类型选取及初始状态设定========================================= +% 1-- 气水两相流 +% 2-- 油水两相流 +flow_model = 2; +if flow_model == 1 +[f,state0] = gas_water_flow(r); +end +if flow_model == 2 +[f,state0] = oil_water_flow(r); +end +if flow_model == 3 +[f,state0] = multi_component_flow(r); +end + +%% ==================================PART 6: 井制度schedule设定================================================ +%将直井、水平井与多段压裂水平井分开处理 +%% 直井、常规水平井定义 +% Wellcpara: wellname(1) nperf，射孔点数量(2) index(3) rw(4) skin(5) welltype(6) +% welltype=1 直井，welltype=2 水平井沿x方向，welltype=3 水平井沿y方向 welltype=4 多段压裂水平井 +% 直井、水平井，该种井型的处理是将射孔段安排在基质网格 +% 对于直井、斜井、水平井，采取与eclipse一致的方式，给出其在基质网格中位置 +% 每个射孔点由下px,py,pz确定，分别表示该射孔点在x方向，y方向的网格编号，及层数即z反方向上的网格编号（最初是以垂直向上建立的基质网格） +well1={ + % 'w1', 2, [20 10 1;20 10 2;], 0.178/2, 0, 1; + % 'w2', 2, [80 10 1;80 10 2;], 0.178/2, 0, 1; + % 'w3', 1, [20 40 1;], 0.178/2, 0, 1; + % 'w4', 1, [80 40 1;], 0.178/2, 0, 1; +% 'w2', 3, [67 20 1;67 20 2;67 20 3], 0.178/2, 0, 1; + }; +well1 = handle_well1(well1,r); +%% 压裂水平井定义 +% 多段压裂水平井：射孔段设置在裂缝单元上，可以给出该射孔点所在的坐标，然后去寻找该点所在的裂缝单元编号 +num_fracture_wells = 6; +welloc = cell(num_fracture_wells,1); +perfnum = cell(num_fracture_wells,1); +welloc{1,1}=[ + 255,255,5;]; +welloc{2,1}=[ + 355,255,5;]; +welloc{3,1}=[ + 455,255,5;]; +welloc{4,1}=[ + 555,255,5;]; +welloc{5,1}=[ + 655,255,5;]; +welloc{6,1}=[ + 755,255,5;]; +for i = 1:num_fracture_wells +perfnum{i,1} = findWelloc(r, welloc{i,1});%在用以Wellc0之中 +end +% perfnum2 = findWelloc(r, welloc2); +well2={ + 'w1_f1', length(perfnum{1,1}), perfnum{1,1}, 0.178/2, 0,4; + 'w1_f2', length(perfnum{2,1}), perfnum{2,1}, 0.178/2, 0,4; + 'w1_f3', length(perfnum{3,1}), perfnum{3,1}, 0.178/2, 0,4; + 'w1_f4', length(perfnum{4,1}), perfnum{4,1}, 0.178/2, 0,4; + 'w1_f5', length(perfnum{5,1}), perfnum{5,1}, 0.178/2, 0,4; + 'w1_f6', length(perfnum{6,1}), perfnum{6,1}, 0.178/2, 0,4; + }; +Wellc = handle_well1_well2(well1,well2,welloc,r); %加井和射孔位置 +%% 井制度设置（开关井、定压/定产、便于吞吐等） +number_phases = 4; +well_schedules = cell(number_phases,1); +time = zeros(number_phases,1); +% 不同方式对应的收敛难度、需要不一样，需分阶段调控， +% 例如在注入阶段需要小一些，如果需要做早期试井，dtmax、dtmin都需要小一些 +dtmax = zeros(number_phases,1); +dtmin = zeros(number_phases,1); + +% (1)well state: 'open'表示该井是开的；'close'表明该井一直是关的，如果只是阶段性关井，就用'open'定流量0生产 +% (2)well type: 'pro'表示是生产井；'inj'表示是注入井; +% (3)protype：'const_q'是定流量；'const_pwf'则是定压 +% (4)value：定的流量值或者井底压力值 +% (5)value：此代码该值与（3）值相同 +time(1) = 10; dtmax(1) = 0.5; dtmin(1) = 0.001; +well_schedules{1,1} = { + 'w1_f1','open','inj','const_pwf',40,40; + 'w1_f2','open','inj','const_pwf',40,40; + 'w1_f3','open','inj','const_pwf',40,40; + 'w1_f4','open','inj','const_pwf',40,40; + 'w1_f5','open','inj','const_pwf',40,40; + 'w1_f6','open','inj','const_pwf',40,40; + }; +time(2) = 10; dtmax(2) = 0.5; dtmin(2) = 0.001; +well_schedules{2,1} = { + 'w1_f1','open','pro','const_q',0,0; + 'w1_f2','open','inj','const_pwf',40,40; + 'w1_f3','open','pro','const_q',0,0; + 'w1_f4','open','inj','const_pwf',40,40; + 'w1_f5','open','pro','const_q',0,0; + 'w1_f6','open','inj','const_pwf',40,40; + }; +time(3) = 10; dtmax(3) = 0.5; dtmin(3) = 0.001; +well_schedules{3,1} = { + 'w1_f1','open','pro','const_pwf',10,10; + 'w1_f2','open','pro','const_q',0,0; + 'w1_f3','open','pro','const_pwf',10,10; + 'w1_f4','open','pro','const_q',0,0; + 'w1_f5','open','pro','const_pwf',10,10; + 'w1_f6','open','pro','const_q',0,0; + }; +time(4) = 200; dtmax(4) = 1; dtmin(4) = 0.001; +well_schedules{4,1} = { + 'w1_f1','open','pro','const_pwf',10,10; + 'w1_f2','open','pro','const_pwf',10,10; + 'w1_f3','open','pro','const_pwf',10,10; + 'w1_f4','open','pro','const_pwf',10,10; + 'w1_f5','open','pro','const_pwf',10,10; + 'w1_f6','open','pro','const_pwf',10,10; + }; + +%% ======================================PART 7: Solver设置=========================================== +yitap = 5; % 50-500psi +yitas = 0.04; % 0.05-0.5 +omega = 0.5; % 0-1 +Nmax = 50; +epsave = 1e-6; +epsmax = 1e-6; +%% ======================================PART 8: 正式计算=========================================== +[Times, OutputRs, Wellpara, trun] = solver_NR(r, flow_model, f, os, state0, yitap,yitas,omega,Nmax,epsave,epsmax,dtmin,dtmax,Wellc,time,well_schedules); +run_time=toc; +trun.run_time=run_time; +end \ No newline at end of file diff --git a/算例7-油水两相流-不同裂缝制度不同/oil_water_flow.m b/算例7-油水两相流-不同裂缝制度不同/oil_water_flow.m new file mode 100644 index 0000000..2b37ab7 --- /dev/null +++ b/算例7-油水两相流-不同裂缝制度不同/oil_water_flow.m @@ -0,0 +1,126 @@ +function [f,state0] = oil_water_flow(r) +% =======================油相体积密度、体积系数、粘度等=============================== +density_o_sc = 800; % kg/m3 +% 第一种模式，直接输入参考压力、体积系数、压缩系数、粘度 +oil_model =1; +if oil_model == 1 +pro = 30; % reference pressure, MPa +Boi = 1.1; % gas phase volume factor +co = 1e-3 ;% gas phase compressibility, 1/MPa +voi = 10; % gas viscosity, cp +cvo = 0; % 气相粘度随压力变化的线性系数，cp/MPa +[Ppr,BO,MUO] = cal_oil_prop(pro,Boi,co,voi,cvo); +end +if oil_model == 2 +Ppr = [ 0.1013 + 2.0946 + 4.0878 + 6.0811 + 8.0743 + 10.0676 + 12.0608 + 14.0540 + 16.0473 + 18.0405 + 20.0338 + 22.0270 + 24.0203 + 26.0135 + 28.0068 + 30.0000 + ]; +% BO = 0.01*ones(size(Ppr,1),1); +BO = [ 1.18297 + 0.0557041 + 0.0278168 + 0.0182594 + 0.0134665 + 0.0106154 + 0.00874829 + 0.00744907 + 0.00650639 + 0.0058006 + 0.0052587 + 0.0048336 + 0.00449378 + 0.00421751 + 0.0039895 + 0.00379871 + ]; +% MUG = 0.01*ones(size(Ppr,1),1); +MUO = [0.0127683 + 0.0130191 + 0.0133973 + 0.013872 + 0.014437 + 0.015088 + 0.0158182 + 0.0166173 + 0.0174719 + 0.0183671 + 0.0192882 + 0.0202219 + 0.0211575 + 0.0220865 + 0.0230024 + 0.0239008 + ]; +end +% ========================水相体积系数、粘度=============================== +density_w_sc = 1000; % kg/m3 +prw = 30; % reference pressure, MPa +Bwi = 1.000; % water phase volume factor, 无因次 +cw = 4.0e-4 ;% water phase compressibility, 1/MPa +vwi = 1; % water viscosity, cp +cvw = 0; % 水相粘度随压力变化的线性系数，cp/MPa +% =============================基质相渗=============================== +ifpcow = 0; % 是否考虑毛管力 +PRM=[ + 0.0000 0.0000 1.0000 3.8916 +0.2000 0.0000 1.0000 3.8916 +0.3160 0.0002 0.6784 0.5796 +0.4350 0.0004 0.6215 0.3724 +0.5620 0.0010 0.5456 0.2425 +0.6140 0.0020 0.3939 0.0608 +0.7020 0.0280 0.1399 0.0372 +0.8120 0.1721 0.0515 0.0137 +0.8750 0.3395 0.0297 0.0104 +0.9060 0.4395 0.0 0.0090 +1.0 0.4395 0.0 0.0090 +]; +SW=PRM(:,1);KRW=PRM(:,2);KRO=PRM(:,3);PCOW=PRM(:,4); + +% =============================裂缝相渗=============================== +PRF=[ +0.0000 0.0000 1.0000 3.8916 +0.2000 0.0000 1.0000 3.8916 +0.3160 0.0002 0.6784 0.5796 +0.4350 0.0004 0.6215 0.3724 +0.5620 0.0010 0.5456 0.2425 +0.6140 0.0020 0.3939 0.0608 +0.7020 0.0280 0.1399 0.0372 +0.8120 0.1721 0.0515 0.0137 +0.8750 0.3395 0.0297 0.0104 +0.9060 0.4395 0.0 0.0090 +1.0 0.4395 0.0 0.0090 +]; +SWF = PRF(:,1);KRWF = PRF(:,2);KROF = PRF(:,3);PCOWF=PRF(:,4); +%% +% ===================== 高速非达西流 Forchheimer 方程 ==================== +beta_non_Darcy_flow = 0; % 1e-8 +% ===================== 启动压力梯度 ==================== +p_grad_threshold = 0.00; % MPa/m +%% 结合流体性质参数生成相应的数据体 +f = fluidPVT_oil_water_flow(Ppr, BO, MUO, Bwi, prw, cw, vwi, cvw, SW, KRO, KRW, PCOW, SWF, KROF, KRWF, PCOWF, density_o_sc, ifpcow, r.rpt); +f.beta_non_Darcy_flow = beta_non_Darcy_flow; +f.Dwsi = density_w_sc; +f.Dosi = density_o_sc; +f.p_grad_threshold = p_grad_threshold; +%% 初值条件 Initial Condition Section +% =================压力、饱和度初值======================================= % +%压力初值要考虑重力，给出油藏下表面压力值 +P = [20 * ones(r.nmc, 1); 20 * ones(r.nfc, 1)]; +% plow=25; % P =plow-1e-6*800*9.8*r.z; +Sw = [0.2 * ones(r.nmc, 1); 0.2 * ones(r.nfc, 1)]; +state0 = initialRS_oil_water_flow(P, Sw); +end \ No newline at end of file diff --git a/算例7-油水两相流-不同裂缝制度不同/plotWellResponse.m b/算例7-油水两相流-不同裂缝制度不同/plotWellResponse.m new file mode 100644 index 0000000..fcd76ee --- /dev/null +++ b/算例7-油水两相流-不同裂缝制度不同/plotWellResponse.m @@ -0,0 +1,55 @@ +function [] = plotWellResponse(Times,Wellpara) +% +wellNumber = 1; % +dataType = 'OPR'; % ͣٶ GPRٶ OPR, ˮٶ WPRѹ BHPѹ dPWF +% +t = Times; +n= size(Times,1); +% para = cell2mat(Wellpara); +nw = wellNumber;%ѡ +% n = length(para); +data = zeros(n,1); +if strcmp(dataType, 'GPR') + for i = 1 : n + data(i) = Wellpara{i}{1,nw}.qg; + figureYlegend = 'Gas production rate, m^3/d'; + end + plot(t,data,'k^-');hold off; xlabel('Time, day');ylabel(figureYlegend); +end +if strcmp(dataType, 'OPR') + for i = 1 : n + data(i) = Wellpara{i}{1,nw}.qo; + figureYlegend = 'Oil production rate, m^3/d'; + end + plot(t,data,'k^-');hold off; xlabel('Time, day');ylabel(figureYlegend); +end +if strcmp(dataType, 'WPR') + for i = 1 : n + data(i) = Wellpara{i}{1,nw}.qw; + figureYlegend = 'Water production rate, m^3/d'; + end + plot(t,data,'k^-');hold off; xlabel('Time, day');ylabel(figureYlegend); +end +if strcmp(dataType, 'BHP') + for i = 1 : n + data(i) = Wellpara{i}{1,nw}.pwf; + figureYlegend = 'BHP, MPa'; + end + plot(t,data,'k^-');hold off; xlabel('Time, day');ylabel(figureYlegend); +end +if strcmp(dataType, 'dPWF') % dpwf/dlnt = t*dpwf/dt + for i = 1 : n + if i == 1 + data(i) = (Wellpara{i+1}{1,nw}.pwf-Wellpara{i}{1,nw}.pwf)/(log(t(i+1))-log(t(i))); + elseif i == n + data(i) = (Wellpara{i}{1,nw}.pwf-Wellpara{i-1}{1,nw}.pwf)/(log(t(i))-log(t(i-1))); + else + data(i) = (Wellpara{i+1}{1,nw}.pwf-Wellpara{i-1}{1,nw}.pwf)/(log(t(i+1))-log(t(i-1))); + end + figureYlegend = 'Pressure derivative, MPa'; + end + plot(t,data,'k^-');hold off; xlabel('Time, day');ylabel(figureYlegend); + set(gca, 'XScale', 'log'); + set(gca, 'YScale', 'log'); +end +end \ No newline at end of file