715 lines
32 KiB
Matlab
715 lines
32 KiB
Matlab
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)
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% 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
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% 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，
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%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
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%上述原则无助于我们去确定connections，故拟采取以下方案：
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%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
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%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
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%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
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%matrixvsfra矩阵代表基质网格中包含裂缝网格编号的情况
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%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
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%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
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%每相邻两列是一条边，然后将顺序反过来，又是两列一条边
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%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
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%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
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%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
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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
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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
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cell_center_coordinates = zeros(nx*ny*nz, 3); % 裂缝网格中心在该矩阵基础上添加
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for j = 1:nx*ny*nz
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nodes_of_the_cell = nodes(j,:);
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cell_center_coordinates(j,:) = mean(coord(nodes_of_the_cell,:));%该基质网格中心
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end
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%m=size(xink,1);
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rownum=zeros(nf,1);
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for i=1:nf
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rownum(i)=size(fracturemesh{i,1},1);
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end
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%% 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
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q=1;
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fracstart=zeros(nf+1,1);%这个表示在总编号中，每条裂缝起始的号码
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for j=1:nf
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fracstart(j)=q;
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numofmesh=pointvsregion{j,1};
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for i=1:1:rownum(j)
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if(norm(fracturemesh{j,1}(i,:))~=0)
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raoindice=size(fracturemesh{j,1}(i,:),2);
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fracnumber(q,1:raoindice)=fracturemesh{j,1}(i,:);%q即是该裂缝编号
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m=floor((i+(2^addflag(j)-1))/(2^addflag(j)));
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indice=find(matrixvsfra(numofmesh(m),:)~=0);
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% indice=find(matrixvsfra(numofmesh(i),:)~=0);
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if (size(indice,2)==0) xiang=1;
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else
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rao=max(indice');
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xiang=rao(1)+1;
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end
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matrixvsfra(numofmesh(m),xiang)=q;%将裂缝编号附给相应的基质网格
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q=q+1;
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end
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end
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end
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fracstart(nf+1)=q;%裂缝网格总数量+1
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fracnumber(q:1000,:)=[];
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%% 将包含有裂缝单元的基质网格筛选出来,并进行处理
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m=size(matrixvsfra,1);
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connectmf=cell(1,4);
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% for i=1:m
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% if (norm(matrixvsfra(i,:))~=0)
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% ConnecS = cell(1,4);
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cc = 0;
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cl = 1;
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for i = 1 : m
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%筛选出包含裂缝的基质网格
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% if ~isempty(matrixvsfra(i,:))
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if (norm(matrixvsfra(i,:)))~=0
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cc = cc + 1;
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%存储该基质网格编号
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connectmf{cc,1} = i;
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%给这些裂缝点/裂缝单元按顺序编号
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A=matrixvsfra(i,:);
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A(A==0)=[];
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connectmf{cc,2} =A;
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end
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end
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%% 一条条裂缝计算裂缝网格面积、边界等等
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% edgevsfra=cell(nf,1);
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number_fracture_cells = q-1;
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normalvec=zeros(q-1,3);%unit 法向量
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areavsfra=zeros(q-1,1);%q-1即裂缝网格总数
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lengthvsfra=zeros(q-1,10);
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Kf=zeros(q-1,1);%裂缝网格渗透率
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Wf=zeros(q-1,1);%裂缝单元缝宽
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corevsfra=zeros(q-1,3);
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disvsfra=zeros(q-1,10);
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tran=zeros(q-1,10);
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fracFaceArea=zeros(q-1,10);
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avtran=zeros(q-1,1);%裂缝网格平均传导，用于后续的简化计算
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avfracFaceArea=zeros(q-1,1);
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fcinff=zeros(q-1,1);%表示裂缝单元所在的裂缝面序号
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zf=zeros(q-1,1);%裂缝单元高度（以下表面为基准）
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vf=zeros(q-1,1);%裂缝单元的体积
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porf=zeros(q-1,1);%裂缝单元的孔隙度
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for i=1:1:q-1 %对裂缝网格进行操作
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if(norm(fracnumber(i,:))==0) break;
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else
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for k=2:(nf+1)
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if(i<fracstart(k)) fcinff(i)=k-1; break;%判断该点处在哪个裂缝平面上,k-1号裂缝面
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end
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end
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d3intersection=raopoint{k-1,1};
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anothersection=raopoint{k-1,2};
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fraindice=find(fracnumber(i,:)~=0);
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rx=size(fraindice,2);
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for j = 1:1:(rx-1)
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corevsfra(i,:)=1/(rx-1)*d3intersection(fracnumber(i,j),:)+corevsfra(i,:);%计算每个裂缝网格重心的坐标
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end
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for j=1:1:(rx-1)
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%edgevsfra(i,(4*j-3):(4*j))=[fracnumber(i,j),fracnumber(i,j+1),fracnumber(i,j+1),fracnumber(i,j)];%完成对edgevsfra矩阵赋值
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%%因为是凸多边形，因此只要代表裂缝网格的两个行向量的共有元素有2个，即有公共边；
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%如果多于2个，则是相同的裂缝网格；如果小于两个，则没有共有的边线
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normalvec(i,:)=cross(f(5*(k-1)-3,:),f(5*(k-1)-2,:))/norm(cross(f(5*(k-1)-3,:),f(5*(k-1)-2,:)));
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areavsfra(i)=area(anothersection(fracnumber(i,1:(rx-1))',:) ,f(5*(k-1)-3,:),f(5*(k-1)-2,:) );%计算出每个裂缝网格的面积
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vf(i)=areavsfra(i)*wf(k-1);
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porf(i)=Porf(k-1);
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Wf(i,1)=wf(k-1);
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Kf(i,1)=kf(k-1);
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lengthvsfra(i,j)=norm(d3intersection(fracnumber(i,j+1),:)-d3intersection(fracnumber(i,j),:));%计算裂缝网格每条边的长度
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% corevsfra(i,:)=1/(rx-1)*d3intersection(fracnumber(i,j),:)+corevsfra(i,:);%计算每个裂缝网格重心的坐标
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zf(i)=corevsfra(i,3);%裂缝网格计算深度（以下平面为基准计算得到的高度，值为正数）
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rao1=corevsfra(i,:)-d3intersection(fracnumber(i,j),:);
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rao2=d3intersection(fracnumber(i,j+1),:)-d3intersection(fracnumber(i,j),:);
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disvsfra(i,j)=norm(cross(rao1',rao2'))/norm(rao2);%计算出每个裂缝网格重心到每条边的距离
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tran(i,j)=kf(k-1)*wf(k-1)*lengthvsfra(i,j)./disvsfra(i,j);
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fracFaceArea(i,j)=wf(k-1)*lengthvsfra(i,j);
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end
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avtran(i)=sum(tran(i,:))/(rx-1);
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avfracFaceArea(i)=sum(fracFaceArea(i,:))/(rx-1);
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end
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end
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% 包含基质网格各和裂缝网格的中心：
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cell_center_coordinates = [cell_center_coordinates; corevsfra];
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% %% 生成裂缝单元及所在裂缝面的cell数组及其它形状信息
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% fcff=cell(1,8);
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% fcff{1,1}=fracnumber; fcff{1,2}=fcinff;fcff{1,3}=lengthvsfra;fcff{1,4}=corevsfra;fcff{1,5}=disvsfra;fcff{1,6}=tran;fcff{1,7}=avtran;fcff{1,8}=areavsfra;
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%% 为了防止出现某裂缝网格面积相对过小，引起计算出错，故将面积很小的裂缝网格给去掉
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maxarea=max(areavsfra,2);
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% minlength=min(lengthvsfra,[],2);
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% maxlength=max(lengthvsfra,[],2);
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newnum=zeros(q-1,1);
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[deindex1,~]=find(areavsfra<0*maxarea);
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deindex2=[];
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for i=1:(q-1)
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zeroindex= lengthvsfra(i,:)~=0;
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minlength=min(lengthvsfra(i,zeroindex));
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maxlength=max(lengthvsfra(i,:));
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if minlength<0*maxlength
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deindex2=[deindex2;i];
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end
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end
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deindex=[deindex1;deindex2];
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deindex=unique(deindex);
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deindex=sort(deindex);
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hui=length(deindex);
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if hui>0
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for i=1:(q-1)
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[dogindex,~]=find(deindex==i);
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if length(dogindex)~=0
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newnum(i)=0;
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else
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[catindex,~]=find(deindex<i);
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rao=length(catindex);
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newnum(i)=i-rao;
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end
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end
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fracnumber(deindex,:)=[];
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fcinff(deindex,:)=[];
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lengthvsfra(deindex,:)=[];
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corevsfra(deindex,:)=[];
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disvsfra(deindex,:)=[];
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tran(deindex,:)=[];
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avtran(deindex,:)=[];
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areavsfra(deindex,:)=[];
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zf(deindex,:)=[];
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vf(deindex,:)=[];
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porf(deindex,:)=[];
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% change matrixvsfra
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for i=1:m%matrixvsfra矩阵的行数
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for j=1:10
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if matrixvsfra(i,j)~=0
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matrixvsfra(i,j)=newnum(matrixvsfra(i,j));
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end
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end
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end
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% change fracstart
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fracstart(nf+1,1)=length(fracnumber)+1;
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for i=1:nf
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[daiindex,~]=find(deindex<fracstart(i,1));
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dai=length(daiindex);
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fracstart(i)=fracstart(i)-dai;
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end
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end
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%% 生成裂缝单元及所在裂缝面的cell数组及其它形状信息
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fcff=cell(1,8);
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fcff{1,1}=fracnumber; fcff{1,2}=fcinff;fcff{1,3}=lengthvsfra;fcff{1,4}=corevsfra;fcff{1,5}=disvsfra;fcff{1,6}=tran;fcff{1,7}=avtran;fcff{1,8}=areavsfra;
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%% 裂缝单元的连接情况
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%% 在同一裂缝面上，裂缝单元的连接情况及传导率计算(不包含在同一基质网格中的相邻裂缝单元）
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connect_infrac=cell(nf,1);
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Nff=zeros(1,2); %记录同一裂缝面上的网格相邻情况，第一列和第二列分别是相邻网格的编号
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Tff=zeros(1,1); %记录相应的传导系数
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perm_ff = zeros(1,1);
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flowArea_ff = zeros(1,1);
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for i=1:nf
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p=1;
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raoconnect=zeros(fracstart(i+1)-fracstart(i),10);%一般来说，裂缝网格不超过10条边
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d3intersection=raopoint{i,1};
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anothersection=raopoint{i,2};
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for j=fracstart(i):((fracstart(i+1)-1)-1)%第i条裂缝的编号范围
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q=1;
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for k=j:(fracstart(i+1)-1)
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A=fracnumber(j,:);
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B=fracnumber(k,:);
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%将两个向量很可能都有的0去掉，这个0没有什么意义
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A(A==0)=[];
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B(B==0)=[];
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[a,~]=find(matrixvsfra==j); [b,~]=find(matrixvsfra==k);
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if length(a)~=1
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heihei=1;
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end
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raoflag=intersect(A,B);
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if((size(raoflag,2)>2)||((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；
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%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
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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
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else
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raoconnect(p,q)=k;q=q+1;
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lengthcat=norm(d3intersection(raoflag(1),:)-d3intersection(raoflag(2),:));%计算裂缝单元公共边长度
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rao1k=corevsfra(k,:)-d3intersection(raoflag(1),:);
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rao1j=corevsfra(j,:)-d3intersection(raoflag(1),:);
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rao2=d3intersection(raoflag(1),:)-d3intersection(raoflag(2),:);
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%分别计算两裂缝单元中心到公共边的距离
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disk=norm(cross(rao1k',rao2'))/norm(rao2);
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disj=norm(cross(rao1j',rao2'))/norm(rao2);
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if Kf(j)==0 || Kf(k)==0
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hartran=0;
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kij = 0;
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else
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tran1=Kf(j)*wf(i)*lengthcat/disk;
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tran2=Kf(k)*wf(i)*lengthcat/disj;
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% hartran=length/(disk+disj);%取调和平均的一半
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hartran=tran1*tran2/(tran1+tran2);
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kij = 2*(Kf(j)^(-1)+Kf(k)^(-1))^(-1);
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end
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Nff=[Nff; j,k];
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Tff=[Tff;hartran];
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perm_ff = [perm_ff; kij];
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flowArea_ff = [flowArea_ff; wf(i)*lengthcat];
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%计算出每个裂缝网格重心到每条边的距离
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end
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end
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p=p+1;
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end
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connect_infrac{i,1}=raoconnect;
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end
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end
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Nff(1,:)=[]; %去除第一行的零行
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Tff(1,:)=[];
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perm_ff(1,:)=[];
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flowArea_ff(1,:)=[];
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%% 在同一基质网格中的裂缝单元连接情况及传导率计算
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nmc=size(matrixvsfra,1);
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Nmff=zeros(1,2);
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Tmff=zeros(1,1);
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perm_mff=zeros(1,1);
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flowArea_mff=zeros(1,1);
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for i=1:nmc
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if(norm(matrixvsfra(i,:))~=0)
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indice=find(matrixvsfra(i,:)~=0);
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n=size(indice,2);
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if (n>1) %此时表明要采取下述的简化算法
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% lengthvsfra(matrixvsfra(i,indice))./disvsfra(matrixvsfra(i,indice))
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for j=1:n-1
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for k=(j+1):n
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Nmff=[Nmff;matrixvsfra(i,indice(j)), matrixvsfra(i,indice(k))];
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% 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
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fc1=matrixvsfra(i,indice(j)); fc2=matrixvsfra(i,indice(k));
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allfc=matrixvsfra(i,1:n); sumtran=sum(fcff{1,7}(allfc));
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if sumtran==0 Tmff=[Tmff; 0]; perm_mff=[perm_mff;0];flowArea_mff=[flowArea_mff;(avfracFaceArea(fc1)+avfracFaceArea(fc2))/2];
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else
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Tmff=[Tmff; fcff{1,7}(fc1)*fcff{1,7}(fc2)/sumtran];
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perm_mff=[perm_mff;(Kf(fc1)^(-1)+Kf(fc2)^(-1))^(-1)];
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flowArea_mff=[flowArea_mff;(avfracFaceArea(fc1)+avfracFaceArea(fc2))/2];
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end
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end
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end
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end
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end
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end
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Nmff(1,:)=[]; %去掉开头的零行
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Tmff(1,:)=[];
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perm_mff(1,:)=[];
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flowArea_mff(1,:)=[];
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% N = [N; Nmff+nmc];
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% T = [T; Tmff];
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%% 基质网格的连接情况及传导系数计算
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nmc=nx * ny*nz;%基质网格数目
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nfc=size(fracnumber,1);%裂缝单元数目
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rpt = [ones(nmc, 1); zeros(nfc, 1)];
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% 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
|
|
S_ex=zeros(nmm,1);% 流体交换面面积
|
|
|
|
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
|
|
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
|
|
|
|
%% 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=[];
|
|
perm_interflow=[];
|
|
flowArea_interflow=[];
|
|
for i=1:nx*ny*nz %基质网格编号
|
|
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));% 此处与原始嵌入式不一样，原始是两倍
|
|
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
|
|
% 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
|
|
|
|
%% 投影嵌入式处理
|
|
nmc=size(matrixvsfra,1);
|
|
%基质网格流体交换面上的裂缝单元投影面之和
|
|
S_p=zeros(nmm,1);
|
|
% 因为投影处理新加的F-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,:));%该基质网格中心
|
|
if(norm(matrixvsfra(i,:))~=0)
|
|
indice=find(matrixvsfra(i,:)~=0);
|
|
n=size(indice,2);
|
|
% if (n>=1)
|
|
the_frac_cells=matrixvsfra(i,indice);%该裂缝单元编号
|
|
if (n>=1) %先仅考虑n=1时的情况
|
|
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);%该裂缝单元所在的裂缝面
|
|
core_frac_cell=fcff{1,4}(the_frac_cell,1:3);%该裂缝单元的中心坐标
|
|
area_frac_cell=fcff{1,8}(the_frac_cell,1);%该裂缝单元面积
|
|
rao_struct=[i,the_frac_cell+nmc];
|
|
pos_rao=find_row(rao_struct,Ninterflow);
|
|
D_value=core_frac_cell-grid_core;% 向量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
|
|
%该裂缝面法向量
|
|
% x方向投影面积
|
|
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));
|
|
% %% 为valid case修改
|
|
% area_frac_cell_x=10*10;
|
|
% area_frac_cell_y=10*10;
|
|
% area_frac_cell_z=10*10;
|
|
%将裂缝中心沿法向量做微小平移，此时再按照距离最近原则判断，可以保证得到符合物理意义的情况
|
|
new_core=core_frac_cell+1e-4*n_vector;
|
|
% 裂缝单元中心相对于基质网格中心的向矢
|
|
%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
|
|
%% ----------------------% 为了做测试实用型pEDFM，人为加处理--------------------------------------
|
|
% 为了做测试实用型pEDFM，人为加处理
|
|
% selected_face(1)=4; nei_grid_x=i+1;
|
|
%% ----------------------% 人为处理结束---------------------------------------------------------------
|
|
struc_x=[i,nei_grid_x];
|
|
pos=find_row(struc_x,N);
|
|
if size(pos,1)==1 %说明需要削减这两个基质网格间的传导系数
|
|
S_p(pos)=S_p(pos)+area_frac_cell_x;
|
|
kcell=(kx(i)*ky(i)*kz(i))^(1/3);%基质网格渗透率
|
|
knei=(kx(nei_grid_x)*ky(nei_grid_x)*kz(nei_grid_x))^(1/3);%相邻那个基质网格渗透率
|
|
added_matnodes=nodes(nei_grid_x,:);
|
|
nei_grid_core=mean(coord(added_matnodes,:));%该基质网格中心
|
|
% Knnc=2*kcell*Kf(the_frac_cell)/(kcell+Kf(the_frac_cell));%调和平均后
|
|
% dis_added=norm(nei_grid_core-core_frac_cell);
|
|
% T_added=Knnc*area_frac_cell_x/dis_added;
|
|
% 采用另一种方式计算几何因子
|
|
dis_added=norm(nei_grid_core-core_frac_cell);
|
|
if Kf(the_frac_cell)==0
|
|
T_added=0;
|
|
else
|
|
% 单独裂缝单元几何因子
|
|
Geof=Kf(the_frac_cell)*area_frac_cell/(Wf(the_frac_cell)/2);
|
|
% 单独相邻基质网格向裂缝单元几何因子
|
|
% dis_added = (5+0.5)/2;
|
|
Geofnei=knei*area_frac_cell_x/dis_added;
|
|
% 单独该基质网格向裂缝单元几何因子
|
|
Geofcell=Tinterflow(pos_rao,1);
|
|
|
|
T_added=1/(1/Geofnei+1/Geofcell+1/Geof);
|
|
T_added = 1/(1/Geofnei+1/Geof);
|
|
% T_added=0;%特殊情况
|
|
% T_added=0;%特殊情况
|
|
% T_added=0.0039604;%特殊情况
|
|
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
|
|
%% ----------------------% 为了做测试实用型pEDFM，人为加处理--------------------------------------
|
|
% 为了做测试实用型pEDFM，人为加处理
|
|
% selected_face(2)=5; nei_grid_y=i+nx;
|
|
%% ----------------------% 人为处理结束---------------------------------------------------------------
|
|
struc_y=[i,nei_grid_y];
|
|
pos=find_row(struc_y,N);
|
|
if size(pos,1)==1 %说明需要削减这两个基质网格间的传导系数
|
|
S_p(pos)=S_p(pos)+area_frac_cell_y;
|
|
kcell=(kx(i)*ky(i)*kz(i))^(1/3);%基质网格渗透率
|
|
knei=(kx(nei_grid_y)*ky(nei_grid_y)*kz(nei_grid_y))^(1/3);%相邻那个基质网格渗透率
|
|
added_matnodes=nodes(nei_grid_y,:);
|
|
nei_grid_core=mean(coord(added_matnodes,:));%该基质网格中心
|
|
% Knnc=2*kcell*Kf(the_frac_cell)/(kcell+Kf(the_frac_cell));%调和平均后
|
|
% dis_added=norm(nei_grid_core-core_frac_cell);
|
|
% T_added=Knnc*area_frac_cell_y/dis_added;
|
|
% 采用另一种方式计算几何因子
|
|
dis_added=norm(nei_grid_core-core_frac_cell);
|
|
if Kf(the_frac_cell)==0
|
|
T_added=0;
|
|
else
|
|
% 单独裂缝单元几何因子
|
|
Geof=Kf(the_frac_cell)*area_frac_cell/(Wf(the_frac_cell)/2);
|
|
% 单独相邻基质网格向裂缝单元几何因子
|
|
Geofnei=knei*area_frac_cell_y/dis_added;
|
|
% 单独该基质网格向裂缝单元几何因子
|
|
Geofcell=Tinterflow(pos_rao,1);
|
|
|
|
T_added=1/(1/Geofnei+1/Geofcell+1/Geof);
|
|
T_added = 1/(1/Geofnei+1/Geof);
|
|
% T_added=0;%特殊情况
|
|
% T_added=0.002;%特殊情况
|
|
% T_added=0.0039604;%特殊情况
|
|
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
|
|
%% ----------------------% 为了做测试实用型pEDFM，人为加处理--------------------------------------
|
|
% 为了做测试实用型pEDFM，人为加处理
|
|
% selected_face(3)=6;nei_grid_z=i+nx*ny;
|
|
%% ----------------------% 人为处理结束---------------------------------------------------------------
|
|
% nei_grid_z=i-nx*ny;
|
|
struc_z=[i,nei_grid_z];
|
|
pos=find_row(struc_z,N);
|
|
if size(pos,1)==1 %说明需要削减这两个基质网格间的传导系数
|
|
S_p(pos)=S_p(pos)+area_frac_cell_z;
|
|
kcell=(kx(i)*ky(i)*kz(i))^(1/3);%基质网格渗透率
|
|
knei=(kx(nei_grid_z)*ky(nei_grid_z)*kz(nei_grid_z))^(1/3);%相邻那个基质网格渗透率
|
|
added_matnodes=nodes(nei_grid_z,:);
|
|
nei_grid_core=mean(coord(added_matnodes,:));%该基质网格中心
|
|
% Knnc=2*kcell*Kf(the_frac_cell)/(kcell+Kf(the_frac_cell));%调和平均后
|
|
% dis_added=norm(nei_grid_core-core_frac_cell);
|
|
% T_added=Knnc*area_frac_cell_z/dis_added;
|
|
% 采用另一种方式计算几何因子
|
|
dis_added=norm(nei_grid_core-core_frac_cell);
|
|
if Kf(the_frac_cell)==0
|
|
T_added=0;
|
|
else
|
|
% 单独裂缝单元几何因子
|
|
Geof=Kf(the_frac_cell)*area_frac_cell/(Wf(the_frac_cell)/2);
|
|
% 单独相邻基质网格向裂缝单元几何因子
|
|
Geofnei=knei*area_frac_cell_z/dis_added;
|
|
% 单独该基质网格向裂缝单元几何因子
|
|
Geofcell=Tinterflow(pos_rao,1);
|
|
|
|
T_added=1/(1/Geofnei+1/Geofcell+1/Geof);
|
|
% T_added=0;%特殊情况
|
|
% T_added=0.0;%特殊情况
|
|
% T_added=0.0039604;%特殊情况
|
|
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
|
|
%% 额外添加的改进
|
|
im_N=[];
|
|
im_T=[];
|
|
% q=length(Kf)+1;
|
|
% for i=1:(q-1)/2%q-1是裂缝单元数量
|
|
% 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
|
|
%% 用投影面积修正基质网格间传导
|
|
num_weaken = 0;
|
|
for i=1:nmm
|
|
% 为避免数值误差，导致没有真正封堵住，故
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if (S_ex(i)-S_p(i))/S_ex(i)<=1e-2
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T(i)=0;
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num_weaken = num_weaken+1;
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else
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T(i)= T(i)*(S_ex(i)-S_p(i))/S_ex(i);
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end
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end
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% % % %% 实用型pEDFM额外处理
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% % % num_frac = size(frac_information,1)/3;
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% % % for i = 1:num_frac
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% % % if frac_information(3*i,1) <= (kx(1)*ky(1)*kz(1))^(1/3)
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% % % % 裂缝的两端点
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% % % one_end = frac_information(3*i-2,:);
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% % % the_other_end = frac_information(3*i-1,:);
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% % % % 两网格之间的连接
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% % % for j = 1:size(N,1)
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% % % added_matnodes_1=nodes(N(j,1),:);
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% % % one_node_connect=mean(coord(added_matnodes_1,:));%该基质网格中心
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% % % added_matnodes_2=nodes(N(j,2),:);
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% % % the_other_node_connect=mean(coord(added_matnodes_2,:));
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% % % coef_matrix = [
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% % % the_other_end(1)-one_end(1),-(the_other_node_connect(1)-one_node_connect(1));
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% % % the_other_end(2)-one_end(2),-(the_other_node_connect(2)-one_node_connect(2));];
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% % % coef_vector = [one_node_connect(1)-one_end(1);one_node_connect(2)-one_end(2);];
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% % % if abs(det(coef_matrix))<=1e-12
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% % % else
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% % % parameters = coef_matrix\coef_vector;
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% % % if parameters(1)>=0 && parameters(1)<=1 && parameters(2)>=0 && parameters(2)<=1
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% % % T(j) = (T(j)^-1 + frac_information(3*i,1)^-1)^-1;
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% % % end
|
|
% % % end
|
|
% % % end
|
|
% % % end
|
|
% % % end
|
|
%% 把上述三种情况的矩阵分别叠加起来
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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)];
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N = [N; Nmff+nmc; Nff+nmc;Ninterflow;Nmf_projection;im_N];
|
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% Tmff = Tmff*0;
|
|
T = [T; Tmff; Tff;Tinterflow;Tmf_projection;im_T];
|
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perm = [perm; perm_mff; perm_ff;perm_interflow; perm_projection];
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flowArea = [flowArea; flowArea_mff; flowArea_ff;flowArea_interflow; flowArea_projection+0.0001];
|
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% N = [N; Nmff+nmc; Nff+nmc;Ninterflow;Nmf_projection];
|
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% T = [T; Tmff; Tff;Tinterflow;Tmf_projection];
|
|
nex=size(N,1);
|
|
%% 实用型pEDFM额外处理
|
|
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) % 此处为做算例简化编写代码的, || i == 2
|
|
% 裂缝的两端点
|
|
one_end = frac_information(3*i-2,:);
|
|
the_other_end = frac_information(3*i-1,:);
|
|
% 两网格之间的连接
|
|
for j = 1:size(N,1)
|
|
% added_matnodes_1=nodes(N(j,1),:);
|
|
% one_node_connect=mean(coord(added_matnodes_1,:));%该基质网格中心
|
|
% 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
|
|
%% 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
|