In this paper, we formulate and test numerically a fully-coupled discontinuous Galerkin (DG)
method for incompressible two-phase flow with discontinuous capillary pressure. The spatial …

In this paper, a lattice Boltzmann (LB) model with double distribution functions is proposed
for two-phase flow in porous media where one distribution function is used for pressure …

We consider an immiscible incompressible two-phase flow in a porous medium composed
of two different rocks so that the capillary pressure field is discontinuous at the interface …

A fully coupled two-phase fluid flow and geomechanical model has been used to investigate
the impact of injection fluid flow and geomechanics on reservoir pressure, effective stresses …

We present continuum-scale modeling of multiphase compressible flow in porous media
with applications to hydrocarbon reservoir engineering. A new black-oil model is developed …

Purpose–The purpose of this paper is to present an efficient improved version of Implicit
Pressure-Explicit Saturation (IMPES) method for the solution of incompressible two-phase …

Discontinuous Galerkin (DG) methods due to their robustness properties, eg local
conservation, low numerical dispersion, and well-capturing strong shocks and physical …

We are concerned with the approximation of solutions to a compressible two-phase flow
model in porous media thanks to an enhanced control volume finite element discretization …

This paper presents a gradient-based approach for solving a switching time control problem
under the two-phase porous media flow within petroleum extraction. The primary goal is to …

Capturing the heterogeneity and multiple scales in fractured media is important for
understanding the underlying mechanisms controlling the flow behavior, as both natural and …