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 propose a novel block preconditioner, labeled Explicit Decoupling Factor
Approximation (EDFA), to accelerate the convergence of Krylov subspace solvers used to …

Many subsurface engineering applications involve tight-coupling between fluid flow, solid
deformation, fracturing, and similar processes. To better understand the complex interplay of …

We present a family of multi-stage preconditioners for coupled thermal-compositional-
reactive reservoir simulation problems. The most common preconditioner used in industrial …

Accurate black oil reservoir simulation is important for the understanding of underground
resources in hydrology and petroleum reservoir engineering. The success of fast prediction …

In petroleum reservoir simulation, the industry standard preconditioner, the Constrained
Pressure Residual method (CPR), is a two-stage process which involves solving a restricted …

Porous media processes involve various physical phenomena such as mechanical
deformation, transport, and fluid flow. Accurate simulations must capture the strong …

The numerical simulation of physical systems has become in recent years a fundamental
tool to perform analyses and predictions in several application fields, spanning from industry …

Massively parallel simulation of multiphase flows in porous media is challenging due to the
highly nonlinear governing equations with the complexity of various modeling features and …

In this work, we present an original block preconditioner to improve the convergence of
Krylov solvers for the simulation of two‐phase flow in porous media. In our modeling …