In this paper, we are concerned with the convergence analysis of a positive control volume
finite element scheme (CVFE) for a degenerate compressible two-phase flow model in …

Two-phase incompressible flow in porous media plays an important role in various fields
including subsurface flow and oil reservoir engineering. Due to the interaction between two …

A new formulation is presented for the modeling of immiscible compressible two-phase flow
in porous media taking into account gravity, capillary effects, and heterogeneity. The …

An industrial scheme, to simulate the compressible two-phase flow in porous media,
consists of a finite volume method together with a phase-by-phase upstream scheme. The …

This paper deals with construction and convergence analysis of a finite volume scheme for
compressible/incompressible (gas–water) flows in porous media. The convergence …

In this paper, we are interested in the simultaneous flow of two immiscible fluid phases
within a porous medium. We consider a two-phase flow model where the fluids are …

In this article, we study the existence of solutions to a nonlinear degenerate system
modelling the displacement of two-phase compressible immiscible flow in a three …

A new model describing immiscible, compressible two-phase flow, such as water–gas,
through heterogeneous porous media is considered. The main feature of this model is the …

We study a model describing immiscible, compressible two-phase flow, such as water-gas,
through heterogeneous porous media taking into account capillary and gravity effects. We …

We consider a multifluid flow model describing evolution of pressures and relative
saturations of non-miscible and compressible phases in porous media. This model is …