Abstract:

A new streamline-diffusion mixed finite element procedure is constructed for solving compressible miscible displacement problem in porous medium. In this procedure, a splitting positive definite mixed element method, the parabolic-type pressure equation. Using a streamline-diffusion finite element method,  the convection-diffusion type concentration equation is solved. The coefficient matrix of the mixed system is symmetric and positive definite. The convergence of the procedure is studied and the corresponding error estimate is also given.

Key words: Streamline-diffusion; splitting positive definite mixed element; compressible miscible displacement; convergence analysis