A Unified Framework for Fully-implicit and Sequential-Implicit Schemes for Coupled Poroelasticity

Abstract

A comparison between fully-implicit and sequential-implicit methods for coupled poroelasticity is presented. By formulating the two approaches within a unified framework, we show that an accurate approximation for the Schur complement of the block structured linear system with respect to the displacement stiffness matrix is key for a successful implementation of both solution strategies. We analyze the performance and robustness of the different approaches using analytical solutions from the literature.