Gravity‐driven multiphase flow in porous media is ubiquitous in the geophysical world; the
classic case in hydrology is vertical infiltration of precipitation into a soil. For homogenous …

This third edition offers a comprehensive overview of the latest theories on flow, transport,
and heat-exchange processes in porous media. It also details sophisticated porous media …

Saturation overshoot and hysteresis for two phase flow in porous media are briefly reviewed.
Old and new challenges are discussed. It is widely accepted that the traditional Richards …

We propose an immiscible two phase flow fracture model, based on a phase-field for
treating crack propagation in porous media. This multifluid model is an extension of classical …

In this paper we investigate the pseudoparabolic equation where τ is a positive constant, c is
the moisture content, k is the hydraulic conductivity and PC is the static capillary pressure …

We discuss a numerical modeling to approximate a two-phase flow in a heterogeneous
porous media taking into account effects of dynamic capillary pressure. The governing …

The main aim of the current paper is to propose an efficient numerical procedure based on
the meshless method for solving some models of conservation laws. In the current …

We propose a continuum model of two-phase flow in a Hele-Shaw cell. The model describes
the multiphase three-dimensional flow in the cell gap using gap-averaged quantities such as …

We discuss a pseudo-parabolic equation modelling two-phase flow in porous media, which
includes dynamic effects in the capillary pressure. We extend the results obtained previously …

In standard multi-phase flow models on porous media, a capillary pressure saturation
relationship developed under static conditions is assumed. Recent experiments have shown …