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 …

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

In this paper we consider fully mass-conservative numerical schemes for the simulation of
incompressible and immiscible two-phase flow in porous media with capillary pressure …

Due to the rapid advancement of supercomputing resource, there is a growing interest in
developing parallel algorithms for the large-scale reservoir simulation. In this paper, we …

The modeling of multiphase fluid mixture and its flow in porous media is of great interest in
the field of reservoir simulation. In this paper, we formulate a novel energy-based framework …

Simulation of subsurface flows in porous media is difficult due to the nonlinearity of the
operators and the high heterogeneity of material coefficients. In this paper, we present a …

Parallel algorithms and simulators with good scalabilities are particularly important for large-
scale reservoir simulations on modern supercomputers with a large number of processors …

VT flash calculation, with the variable specification of volume, temperature and mole
numbers, is a newly-rising alternative to the conventional PT flash calculation for phase …

Abstract Development of robust and efficient nonlinear solution strategies for multi-phase
flow and transport within natural porous media is challenging. Fully Implicit Method (FIM) is …

Modeling and simulation of flow, transport and geomechanics in the subsurface porous
media is an effective approach to help make decisions associated with the management of …