Miscible displacement simulation by finite element methods in distributed memory machines Original Research Article

Finite element methods taylored for large scale simulation of incompressible miscible displacement in porous media are presented. Employing same order Lagrangian interpolations for all variables, pressure is approximated by Galerkinʹs method, global or local post-processing techniques are used to compute higher-order velocity approximations, and a stabilized Petrov—Galerkin formulation is applied to concentration equation. Error estimates are discussed as well as the parallel implementation on a distributed memory machine. Numerical simulations of tracer injection processes and miscible displacements with high adverse mobility ratios in two and three dimensions are reported.