Asymptotic Analysis of a Nonlinear Parabolic Problem Modelling Miscible Compressible Displacement in Porous Media

Numerical Methods for a Model for Compressible Miscible Displacement in Porous Media

A nonlinear parabolic system is derived to describe compressible miscible displacement in a porous medium. The system is consistent with the usual model for incompressible miscible displacement. Two finite element procedures are introduced to approximate the concentration of one of the fluids and the pressure of the mixture. The concentration is treated by a Galerkin method in both procedures, ...

L-norm Error Bounds of Characteristics Collocation Method for Compressible Miscible Displacement in Porous Media

A nonlinear parabolic system is derived to describe compressible miscible displacement in a porous medium in non-periodic space. The concentration is treated by a characteristics collocation method, while the pressure is treated by a finite element collocation method. Optimal order estimates in L2 is derived.

Instability Analysis of Miscible Displacements in Homogeneous Porous Media

Stabilized finite element methods for miscible displacement in porous media

In this paper, we shall dérive a new model for the miscible displacement of one incompressible fluid by another in porous media using simple physical conservation laws For a dilute mixture m which the density can be approximated by a constant, this new model reduces to the standard one used for the last decade The model is governed by a nonlinear system consisting of pressure and concentration ...

A Combined Mixed Finite Element and Discontinuous Galerkin Method for Miscible Displacement Problem in Porous Media

A combined method consisting of the mixed finite element method for flow and the discontinuous Galerkin method for transport is introduced for the coupled system of miscible displacement problem. A “cut-off” operatorM is introduced in the discontinuous Galerkin formular in order to make the combined scheme converge. Optimal error estimates in L(H) for concentration and in L(L) for velocity are ...