A macroscopic model of two-phase flow of compressible liquids in a compressible double
porosity medium is developed and used to analyse various qualitative mechanisms of the …

We consider two‐phase flow in a heterogeneous porous medium with highly permeable
fractures and low permeable periodic blocks. The flow in the blocks is assumed to be in local …

The paper is devoted to the derivation, by linearization, of simplified homogenized models of
an immiscible incompressible two-phase flow in double porosity media in the case of thin …

We study an immiscible incompressible two-phase, such as water–oil flow through a-
periodic double porosity media. The mesoscopic model consists of equations derived from …

This paper presents a study of immiscible incompressible two-phase flow through fractured
porous media. The results obtained earlier in the pioneer work by A. Bourgeat, S. Luckhaus …

A completely averaged model of two-phase flow of compressible fluids in a medium with
double porosity is developed. The variational asymptotic two-scale averaging method with …

A homogenized model of incompressible two-phase flow accompanied by a gas-producing
reaction in a double porosity medium with a chemically active skeleton is derived. The …

The paper deals with the global Kondaurov double porosity model describing a non-
equilibrium two-phase immiscible flow in fractured-porous reservoirs when non-equilibrium …

We consider a two-phase incompressible non-equilibrium flow in fractured porous media in
the framework of Kondaurov's model, wherein the mobilities and capillary pressure depend …

A reduced-dimensional asymptotic modelling approach is presented for the analysis of two-
phase flow in a thin cylinder with aperture of order $\mathcal {O}(\varepsilon), $ where …