Shales will play an important role in the successful transition of energy from fossil-based
resources to renewables in the coming decades. Aside from being a significant source of …

An iterative multiscale finite volume (i-MSFV) method is devised for the simulation of
multiphase flow in fractured porous media in the context of a hierarchical fracture modeling …

A wide variety of multiscale methods have been proposed in the literature to reduce runtime
and provide better scaling for the solution of Poisson-type equations modeling flow in …

Abstract An Algebraic Multiscale Solver (AMS) for the pressure equations arising from
incompressible flow in heterogeneous porous media is described. In addition to the fine …

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 …

For the past 10 years or so, a number of so-called multiscale methods have been developed
as an alternative approach to upscaling and to accelerate reservoir simulation. The key idea …

In this paper, we develop a multiscale model reduction technique that describes shale gas
transport in fractured media. Due to the pore-scale heterogeneities and processes, we use …

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 …

Simulation technology is constantly evolving to take advantage of the best-available
computational algorithms and computing hardware. A new technology is being jointly …

Compositional simulation is necessary for a wide variety of reservoir-simulation applications,
and it is especially valuable for accurate modeling of near-miscible gas injection for …