A Discontinuous Galerkin Method for the Two-phase Flow in Deformable Porous Media. The theory of linear poroelasticity is used to describe the interaction between fluid flow and mechanical deformation of a porous medium which is a solid structure composed of pores. The numerical modeling of coupled processes imposes great computational challenges. In my work, investigations are focused on the dynamic multi-phase fluid-structure interaction and the surface elevation on a large scale (meters to kilometers) in three dimensions. In particular, I formulate an accurate and stable numerical method for solving the multiphase flow equations in deformable porous media.
We focus on solving problems
- determine the characteristics of two-phase fluid-solid interaction
- in the Darcy scale (meters to kilometers) in three dimensions
- for long time predictions (months to years)
The unknown variables are the displacement of a solid structure, the pressure of the wetting phase, and the saturation of the wetting phase.