Comparison Of Stabilization Schemes To Simulate Two-Phase Flows And Miscible Displacements In Porous Medium By Finite Element.

Abstract

This work presents a numerical comparison of stabilized finite element formulations to solve slightly compressible immiscible two-phase flows and miscible displacements in porous media. The coupled set of partial differential equations is approximated in space by the Streamline Upwind Petrov-Galerkin (SUPG) or the Algebraic Subgrid-Scale (ASGS) stabilized finite element formulations. Shock-capturing operators are added to the formulations to improve stability around the moving sharp fronts. Both formulations are evaluated numerically regarding their accuracy and computational performance.