init
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xinxiao
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function [f,state0] = multi_component_flow(r)
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%% 流体性质参数
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%% 水相中的表活剂、盐的扩散系数
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Ds = 0.76*1e-9; % m2/s
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Db = 2.2*1e-9; % m2/s
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%% 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
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c_ca_table = [
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0 0 0
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0.05 1 0.075
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0.1 1.75 0.125
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0.2 3 0.2
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0.5 4.35 0.325
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1 4.55 0.365
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];
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cs_data = c_ca_table(:,1);
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cb_data = c_ca_table(:,1);
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csa_data = c_ca_table(:,2)*1e-3; % 转换为 kg/kg
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cba_data = c_ca_table(:,3)*1e-3; % 转换为 kg/kg
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%% 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）
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R = 0.008314; % kJ/(mol*K)
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Vm = 18.02*1e-6; % 水的偏摩尔体积，m^3/mol
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Temperature = 293.15; % 温度，K
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chemistry_cof = R*Temperature/Vm*1e-3/10;
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%% 动态相渗（凸显出表活剂对相渗的影响）
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% 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，
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% 为了简便代码编写，此处忽略渗流速度的影响，
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% 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，
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% 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
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% dynamic_kr = 1;
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cs_Nc = [
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0 1.6*1e-6 30
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0.1 9.5*1e-6 10
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0.2 2.5*1e-5 4
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0.5 5.8*1e-5 1.4
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1 8.2*1e-5 1
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2 8.8*1e-5 0.75
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];
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Nc_nosurf = min(cs_Nc(:,2));
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Nc_surf = max(cs_Nc(:,2));
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kr_nosurf = [
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0 0 0.64
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0.25 0 0.64
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0.30 0.072 0.6
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0.40 0.14 0.56
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0.50 0.26 0.48
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0.60 0.4 0.38
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0.70 0.56 0.26
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0.85 0.88 0
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1 0.88 0
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];
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kr_surf = [
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0 0 0.6
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0.18 0 0.6
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0.25 0.056 0.56
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0.30 0.1 0.52
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0.40 0.19 0.42
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0.50 0.29 0.3
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0.60 0.37 0.19
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0.75 0.46 0
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1 0.46 0
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];
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PC = [
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0 3.8916
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0.2 3.8916
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0.316 0.5796
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0.435 0.3724
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0.562 0.2425
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0.614 0.0608
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0.702 0.0372
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0.812 0.0137
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0.875 0.0104
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0.906 0.009
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0.937 0.0075
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0.969 0.0059
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1 0
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];
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cs_Nc_fracture = cs_Nc;
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kr_nosurf_fracture = kr_nosurf;
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kr_surf_fracture = kr_surf;
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PC_fracture = PC;
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ifpcgl = 0; % 是否考虑毛管力
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%% 启动压力梯度
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p_grad_threshold = 0.00; % MPa/m
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%% ================气相Langmuir等温吸附模型，当 VL=0，亦可用于油相===============
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% VE = VL*P/(PL+P)
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gas_prop.VL = 0.0; % Langmuir volume, m^3/kg
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gas_prop.PL = 3.5; % Langmuir pressure, MPa
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% Psc = 1;
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% Zsc = 1;
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% density_rock = 2000; %
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% ===================== Knudsen 扩散系数，当 Kn=0，亦可用于油相 ====================
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gas_prop.Kn = 0; % Knudsen数
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c1 =1; c2 =8/9;
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gas_prop.Kn_modified_factor = 1+8*c1*gas_prop.Kn+16*c2*gas_prop.Kn^2;
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% ===================== 高速非达西流 Forchheimer 方程 ====================
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gas_prop.beta_non_Darcy_flow = 0; % 1e-8
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% =======================气相体积系数、粘度===============================
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density_g_sc = 800;
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% 第一种模式，直接输入参考压力、体积系数、压缩系数、粘度
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gas_model =1;
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if gas_model == 1
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prg = 20; % reference pressure, MPa
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Bgi = 1; % gas phase volume factor
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cg = 5e-4 ;% gas phase compressibility, 1/MPa
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vgi = 6; % gas viscosity, cp
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cvg = 0;
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[Ppr,BG,MUG] = cal_gas_prop(prg,Bgi,cg,vgi,cvg);
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end
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if gas_model == 2
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Ppr = [ 0.1013
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2.0946
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4.0878
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6.0811
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8.0743
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10.0676
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12.0608
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14.0540
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16.0473
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18.0405
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20.0338
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22.0270
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24.0203
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26.0135
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28.0068
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30.0000
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];
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% BG = 0.01*ones(size(Ppr,1),1);
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BG = [ 1.18297
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0.0557041
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0.0278168
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0.0182594
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0.0134665
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0.0106154
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0.00874829
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0.00744907
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0.00650639
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0.0058006
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0.0052587
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0.0048336
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0.00449378
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0.00421751
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0.0039895
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0.00379871
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];
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% MUG = 0.01*ones(size(Ppr,1),1);
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MUG = [0.0127683
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0.0130191
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0.0133973
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0.013872
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0.014437
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0.015088
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0.0158182
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0.0166173
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0.0174719
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0.0183671
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0.0192882
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0.0202219
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0.0211575
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0.0220865
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0.0230024
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0.0239008
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];
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end
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% ========================水相体积系数、粘度===============================
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density_w_sc = 1000;
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prw = 20; % reference pressure
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Bwi = 1.000; % water phase volume factor
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cw = 4.0e-4 ;% water phase compressibility
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vwi = 1; % viscosity
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cvw = 0;
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% =============================基质相渗===============================
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% ifpcgl = 0; % 是否考虑毛管力
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% RPGW=[
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% 0.0000 0.0000 1.0000 3.8916
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% 0.2000 0.0000 1.0000 3.8916
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% 0.3160 0.0002 0.6784 0.5796
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% 0.4350 0.0004 0.6215 0.3724
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% 0.5620 0.0010 0.5456 0.2425
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% 0.6140 0.0020 0.3939 0.0608
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% 0.7020 0.0280 0.1399 0.0372
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% 0.8120 0.1721 0.0515 0.0137
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% 0.8750 0.3395 0.0297 0.0104
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% 0.9060 0.4395 0.0226 0.0090
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% 0.9370 0.5500 0.0173 0.0075
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% 0.9690 0.6702 0.0131 0.0059
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% 1.0 1.0000 0.0000 0.0000
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% ];
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% SW=RPGW(:,1);KRW=RPGW(:,2);KRG=RPGW(:,3);PCGL=RPGW(:,4);
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%
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% % =============================裂缝相渗===============================
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% PRF=[
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% 0.0000 0.0000 1.0000 3.8916
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% 0.2000 0.0000 1.0000 3.8916
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% 0.3160 0.0002 0.6784 0.5796
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% 0.4350 0.0004 0.6215 0.3724
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% 0.5620 0.0010 0.5456 0.2425
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% 0.6140 0.0020 0.3939 0.0608
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% 0.7020 0.0280 0.1399 0.0372
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% 0.8120 0.1721 0.0515 0.0137
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% 0.8750 0.3395 0.0297 0.0104
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% 0.9060 0.4395 0.0226 0.0090
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% 0.9370 0.5500 0.0173 0.0075
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% 1.0 1.0000 0.0000 0.0000
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% ];
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% SWF = PRF(:,1);KRWF = PRF(:,2);KRGF = PRF(:,3);PCGLF=PRF(:,4);
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%% 结合流体性质参数生成相应的数据体
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% 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);
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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);
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f.Dwsi = density_w_sc;
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f.Dgsi = density_g_sc;
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f.gas_prop = gas_prop;
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f.Ds = Ds;
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f.Db = Db;
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f.chemistry_cof = chemistry_cof;
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f.p_grad_threshold = p_grad_threshold;
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%% 初值条件 Initial Condition Section
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% =================压力、饱和度初值======================================= %
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%压力初值要考虑重力，给出油藏下表面压力值
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P = [20 * ones(r.nmc, 1); 20 * ones(r.nfc, 1)];
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% plow=25; % P =plow-1e-6*800*9.8*r.z;
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Sw = [0.2 * ones(r.nmc, 1); 0.2 * ones(r.nfc, 1)];
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Cs = [0.0 * ones(r.nmc, 1); 0.0 * ones(r.nfc, 1)];% kg/m3
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Cb = [50.0 * ones(r.nmc, 1); 50.0 * ones(r.nfc, 1)];% kg/m3
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% 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
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number_state_variables = 4;
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f.number_state_variables = number_state_variables;
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state0 = initialRS(P, Sw, Cs, Cb);
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end
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