Numerical homogenization for poroelasticity problem in heterogeneous media

Abstract

We consider the poroelasticity problems in heterogeneous porous media. Mathematical model contains coupled system of the equations for pressure and displacements. We construct coarse grid solver using numerical homogenization technique, where we calculate effective permeability and elastic properties of the media by solution of the local problems. We present numerical results for the model problem in two and three-dimensional formulations. The results show that method can provide good accuracy and computationally effective.