Models that describe two-fluid flow in porous media suffer from a widely recognized problem
that the constitutive relationships used to predict capillary pressure as a function of the fluid …

Capillary energy barriers have important consequences for immiscible fluid flow in porous
media. We derive a time-and-space averaging theory to account for the non-equilibrium …

Multiphase flows in porous medium systems are typically modeled at the macroscale by
applying the principles of continuum mechanics to develop models that describe the …

We develop an approach to coupling between viscous flows of the two phases in porous
media, based on the Maxwell–Stefan formalism. Two versions of the formalism are …

A new three-dimensional hydrodynamic model for unsteady two-phase flows in a porous
medium, accounting for the motion of the interface between the flowing liquids, is developed …

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 …

In this paper, we discuss a model describing the global behavior of the two-phase
incompressible flow in fractured porous media. The fractured medium is regarded as a …

A method for calculating capillary pressure functions and saturation-dependent
permeabilities of geometries containing several length scales is presented. The method …

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 …

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 …