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 …

The effect of CO 2 injection on the structure and transport properties of confined asphaltenes
in 6 nm slit-shaped calcite nanopore was studied using molecular dynamics simulations …

We design and investigate a sequential discontinuous Galerkin method to approximate two-
phase immiscible incompressible flows in heterogeneous porous media with discontinuous …

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 …

The leakage from a buried oil pipeline has the potential to inflict great economic losses and
environmental pollution owing to the long-term and concealment. Therefore, studying the …

For the hyperbolic conservation laws with discontinuous-flux function, there may exist
several consistent notions of entropy solutions; the difference between them lies in the …

We consider the system of equations governing an incompressible immiscible two-phase
flow within a heterogeneous porous medium made of two different rock types. Since the …

We study a one-dimensional model for two-phase flows in heterogeneous media, in which
the capillary pressure functions can be discontinuous with respect to space. We first give a …

In this paper we consider water-drive for recovering oil from a strongly heterogeneous
porous column. The two-phase model uses Corey relative permeabilities and Brooks--Corey …

We consider a simplified model of a two-phase flow through a heterogeneous porous
medium. Focusing on the capillary forces motion, a nonlinear degenerate parabolic problem …