Linear solvers for reservoir simulation applications are the objective of this review.
Specifically, we focus on techniques for Fully Implicit (FI) solution methods, in which the set …

In this work, we are interested in efficiently solving the quasi‐static, linear Biot model for
poroelasticity. We consider the fixed‐stress splitting scheme, which is a popular method for …

In this paper, we study the robust linearization of nonlinear poromechanics of unsaturated
materials. The model of interest couples the Richards equation with linear elasticity …

Many applications involving porous media–notably reservoir engineering and geologic
applications–involve tight coupling between multiphase fluid flow, transport, and …

We study the propagation of hydraulic fractures using the fixed stress splitting method. The
phase field approach is applied and we study the mechanics step involving displacement …

Recently, the accurate modeling of flow‐structure interactions has gained more attention
and importance for both petroleum and environmental engineering applications. Of …

We present a new formulation for modeling the coupled flow, thermal, and mechanical
effects in real fractured subsurface formations. Natural fractures are represented explicitly as …

We establish a link between the decoupling constraint in a two-grid staggered solution
algorithm for consolidation in heterogeneous porous media and the concepts of Voigt and …

We propose a two-stage preconditioner for accelerating the iterative solution by a Krylov
subspace method of Biot's poroelasticity equations based on a displacement-pressure …

In this work, we measure the performance of the fixed stress split algorithm for the immiscible
water-oil flow coupled with linear poromechanics. The two-phase flow equations are solved …