664 lines
34 KiB
Matlab
664 lines
34 KiB
Matlab
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 )
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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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%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^nf)-1)/(2^nf));
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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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mat_frac=[];
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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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mat_frac=[mat_frac;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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% Kffl=funtion_data.Kffl;
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% Dffl=funtion_data.Dffl;
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% kffl=zeros(q-1,1);
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% dffl=zeros(q-1,1);
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fractureCellFlag = (1: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-1,10);%裂缝网格渗透率
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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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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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ave_disvsfra=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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%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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Kf(i,1)=kf(k-1);
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% kffl(i,1)=Kffl(k-1);
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% dffl(i,1)=Dffl(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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end
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avtran(i)=sum(tran(i,:))/(rx-1);
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ave_disvsfra(i)=sum(disvsfra(i,:))/(rx-1);
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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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%% 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=find(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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Tff_convection=zeros(1,1); %对流项
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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(i)==0 hartran=0;hartran_convection=0;
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else
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tran1=kf(i)*wf(i)*lengthcat/disk;
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tran2=kf(i)*wf(i)*lengthcat/disj;
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% hartran=length/(disk+disj);%取调和平均
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hartran=tran1*tran2/(tran1+tran2);
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k_harmony= kf(i);
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hartran_convection=kf(i)/(disk+disj)^2;
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end
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Nff=[Nff; j,k];
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Tff=[Tff;hartran];
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Tff_convection=[Tff_convection;hartran_convection];
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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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Tff_convection(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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Tmff_convection=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];Tmff_convection=[Tmff_convection;0];
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else
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Tmff=[Tmff; fcff{1,7}(fc1)*fcff{1,7}(fc2)/sumtran];
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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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Tmff_convection(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;
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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
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% r.nf = nmm + nff;%nff是裂缝单元之间存在流体交换的总数
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Kx=kx.*ones(nmc,1);
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Ky=ky.*ones(nmc,1);
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Kz=kz.*ones(nmc,1);
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N = zeros(nmm, 2);%存储基质网格之间存在流体交换的网格编号
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T = zeros(nmm, 1);%存储对应与N矩阵的传导系数
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T_convection = zeros(nmm, 1);
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c = 0;
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for k= 1 : nz
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for j = 1 : ny
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for i = 1 : nx - 1
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c = c + 1;
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|
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
|
|
%% 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=[];
|
|
matrix_cells_containing_fracture_cells = [];
|
|
volume_ratio = [];
|
|
fractureMatrixFlag = zeros(size(fractureCellFlag,1),2);
|
|
%% -------------------------------------------------------------------------此处是修改之重---------------------------------------------------------------
|
|
numberInGroup = 4;
|
|
%% -------------------------------------------------------------------------上方修改结束---------------------------------------------------------------
|
|
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
|
|
fractureMatrixFlag(matrixvsfra(i,j),:) = [matrixvsfra(i,j),i];
|
|
matrix_cells_containing_fracture_cells = [matrix_cells_containing_fracture_cells; i];
|
|
%% -------------------------------------------------------------------------此处是修改之重---------------------------------------------------------------
|
|
if mod(matrixvsfra(i,j),numberInGroup) == 1 volume_ratio = [volume_ratio; 7/8];end % 右侧重新编号网格所占体积比例
|
|
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
|
|
%% -------------------------------------------------------------------------上方修改结束---------------------------------------------------------------
|
|
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);%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];
|
|
end
|
|
end
|
|
end
|
|
%% 额外处理，此处并未通用化，有待进一步开展
|
|
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;
|
|
% 记录基质网格被分成了哪两个网格,并删除原有的与这些基质网格相关的连接
|
|
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连接
|
|
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,:) = [];
|
|
% 构建裂缝网格-基质网格-添加基质网格的对应矩阵，按照裂缝网格顺序排列，方便后续处理
|
|
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
|
|
% 添加这些基质网格的真实连接
|
|
relatedN = [];
|
|
relatedT = [];
|
|
for xiang = 1:size(fractureCellFlag,1)/numberInGroup
|
|
%% -------------------------------------------------------------------------此处亦是修改之重-----------------------------------------------------------------------
|
|
addedNSs =[
|
|
% 左侧原有基质网格 x方向上的连接
|
|
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);
|
|
% 右侧添加基质网格 x方向上的连接
|
|
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;
|
|
% 左侧原有基质网格 y方向上的连接
|
|
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;
|
|
% 右侧添加基质网格 y方向上的连接
|
|
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);
|
|
];
|
|
%% --------------------------------------------------------------此处修改结束-----------------------------------------------------------------
|
|
relatedN = [relatedN;
|
|
addedNSs
|
|
];
|
|
% 计算传导率
|
|
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
|
|
%% -------------------------------------------------------------------------此处亦是修改之重-----------------------------------------------------------------------
|
|
%
|
|
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
|
|
%% -------------------------------------------------------------------------此处修改结束-----------------------------------------------------------------------
|
|
% % % ((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);
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% % % ((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);
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% % % ((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);
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% % %
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% % % ((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);
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% % % ((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);
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% % % ((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);
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addedTs = [addedTs; theT];
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end
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relatedT = [relatedT;addedTs];
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end
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N = [N; relatedN];
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T = [T; relatedT];
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%
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Ninterflow(:,2) = Ninterflow(:,2)+ number_of_adding;
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ori_nmc = nmc;
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nmc = ori_nmc +number_of_adding;
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% m-f连接
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% number_of_adding = 0;
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for i = 1:size(matrix_cells_containing_fracture_cells,1)
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the_matrix_cell = matrix_cells_containing_fracture_cells(i,1);
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aaa = find(fractureCell_matrixCell_addedMatrixCell(:,2) == the_matrix_cell);
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the_new_cell = fractureCell_matrixCell_addedMatrixCell(aaa,3);
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the_fracture_cell_flag = fractureCell_matrixCell_addedMatrixCell(aaa,1);
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% number_of_adding = number_of_adding+1;
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% the_new_cell = number_of_adding+ori_nmc;
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for j = 1:size(Ninterflow,1)
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if Ninterflow(j,1) == the_matrix_cell
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the_added_mf_connec = [the_added_mf_connec;the_new_cell,Ninterflow(j,2)];
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%% -------------------------------------------------------------------------此处亦是修改之重-----------------------------------------------------------------------
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if mod(the_fracture_cell_flag, numberInGroup) == 1
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the_added_mf_T = [the_added_mf_T; Tinterflow(j)/2*((1/4)/((1+3/4)/4))];
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Tinterflow(j) = Tinterflow(j)/2*((1/4)/((2-1-3/4)/4));
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end
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if mod(the_fracture_cell_flag, numberInGroup) == 2
|
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the_added_mf_T = [the_added_mf_T; Tinterflow(j)/2*((1/4)/((3/4+2/4)/4))];
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Tinterflow(j) = Tinterflow(j)/2*((1/4)/((2-3/4-2/4)/4));
|
|
end
|
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if mod(the_fracture_cell_flag, numberInGroup) == 3
|
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the_added_mf_T = [the_added_mf_T; Tinterflow(j)/2*((1/4)/((2/4+1/4)/4))];
|
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Tinterflow(j) = Tinterflow(j)/2*((1/4)/((2-2/4-1/4)/4));
|
|
end
|
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if mod(the_fracture_cell_flag, numberInGroup) == 0
|
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the_added_mf_T = [the_added_mf_T; Tinterflow(j)/2*((1/4)/((0+1/4)/4))];
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Tinterflow(j) = Tinterflow(j)/2*((1/4)/((2-0-1/4)/4));
|
|
end
|
|
%% -------------------------------------------------------------------------此处亦是修改之重-----------------------------------------------------------------------
|
|
end
|
|
end
|
|
end
|
|
Ninterflow = [Ninterflow; the_added_mf_connec];
|
|
Tinterflow = [Tinterflow; the_added_mf_T];
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%% 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
|
|
|
|
%% 把上述三种情况的矩阵分别叠加起来
|
|
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
|