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diagonal_446.m
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diagonal_446.m
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nx=nx_446;
ny=ny_446;
nz=nz_446;
N=(nx)*(ny)*(nz);
Pwfi=3000;
Pwfp=500;
%write the new transmissibilities
Tx=Tx_446_perm;
Ty=Ty_446_perm;
Tz=Tz_446_perm;
%write new permeabilities
kx=(kx_new.*ky_new).^0.5;
%i+1 diagonal
a=0;
l=zeros(N,1);
for k=1:nz
for i=1:ny
for j=1:nx
a=a+1;
l(a,1)=-Tx(i,j+1,k);
end
end
end
%i-1 diagonal
a=0;
n=zeros(N,1);
for k=1:nz
for i=1:ny
for j=1:nx
a=a+1;
n(a,1)=-Tx(i,j,k);
end
end
end
%j+1 diagonal
a=0;
p=zeros(N,1);
for k=1:nz
for i=1:ny
for j=1:nx
a=a+1;
p(a,1)=-Ty(i+1,j,k);
end
end
end
% j-1 diagonal
a=0;
q=zeros(N,1);
for k=1:nz
for i=1:ny
for j=1:nx
a=a+1;
q(a,1)=-Ty(i,j,k);
end
end
end
%k+1 diagonal
a=0;
r=zeros(N,1);
for k=1:nz
for i=1:ny
for j=1:nx
a=a+1;
r(a,1)=-Tz(i,j,k+1);
end
end
end
% k-1 diagonal
a=0;
s=zeros(N,1);
for k=1:nz
for i=1:ny
for j=1:nx
a=a+1;
s(a,1)=-Tz(i,j,k);
end
end
end
%Center diagonal
a=0;
c=zeros(N,1);
for k=1:nz
for i=1:ny
for j=1:nx
a=a+1;
if i==28 && j==8
c(a,1)=(44/7)*kx(i,j,k)*(2)*0.00633/(log(0.14*(20^2+10^2)^0.5/0.25))+Tz(i,j,k)+Tz(i,j,k+1)+Ty(i,j,k)+Ty(i+1,j,k)+Tx(i,j,k)+Tx(i,j+1,k);
elseif i==1 && j==1 || i==1 && j==15 || i==55 && j==1 || i==55 && j==15
c(a,1)=(44/7)*kx(i,j,k)*(2)*0.00633/(log(0.14*(20^2+10^2)^0.5/0.25))+Tz(i,j,k)+Tz(i,j,k+1)+Ty(i,j,k)+Ty(i+1,j,k)+Tx(i,j,k)+Tx(i,j+1,k);
else
c(a,1)=Tz(i,j,k)+Tz(i,j,k+1)+Ty(i,j,k)+Ty(i+1,j,k)+Tx(i,j,k)+Tx(i,j+1,k);
end
end
end
end
B=[];
T=[];
% Transmissibility matrix
B=[ r p l c n q s];
T=spdiags(B,[-nx*ny,-nx,-1,0,1,nx,nx*ny],nx*ny*nz,nx*ny*nz);
a=0;
D=zeros(nx*ny*nz,1);
for k=1:nz
for i=1:ny
for j=1:nx
a=a+1;
if i==28 && j==8
D(a,1)= Pwfi*(44/7)*kx(i,j,k)*(2)*0.00633/(log(0.14*(20^2+10^2)^0.5/0.25));
elseif i==1 && j==1 || i==1 && j==60 || i==220 && j==1 || i==220 && j==60
D(a,1)= Pwfp*(44/7)*kx(i,j,k)*(2)*0.00633/(log(0.14*(20^2+10^2)^0.5/0.25));
else
D(a,1)=0;
end
end
end
end
clear Xcorn Ycorn Zcorn l n p q r s B c;
P1=sparse(T)\sparse(D);
P1=full(P1);
P1=reshape(P1,nx,ny,nz);
for k=1:nz
P(:,:,k)=P1(:,:,k)';
end
clear P1;
qx= zeros(ny,nx+1,nz);
for k=1:nz
for i=1:ny
for j=2:nx
qx(i,j,k)=-Tx(i,j,k)*(P(i,j,k)-P(i,j-1,k));
end
end
end
qy= zeros(ny+1,nx,nz);
for k=1:nz
for i=2:ny
for j=1:nx
qy(i,j,k)=-Ty(i,j,k)*(P(i,j,k)-P(i-1,j,k));
end
end
end
qz= zeros(ny,nx,nz+1);
for k=2:nz
for i=1:ny
for j=1:nx
qz(i,j,k)=-Tz(i,j,k)*(P(i,j,k)-P(i,j,k-1));
end
end
end