On Finite Volume Discretization of the Three-Dimensional Biot Poroelasticity System in Multilayer Domains

Abstract

In this paper we propose a finite volume discretization for the threedimensional Biot poroelasticity system in multilayer domains. For stability reasons, staggered grids are used. The discretization takes into account discontinuity of the coefficients across the interfaces between layers with different physical properties. Numerical experiments based on the proposed discretization showed second order convergence in the maximum norm for the primary and flux unknowns of the system. An application example is presented as well. © 2006, Institute of Mathematics, NAS of Belarus. All rights reserved.