Flows in porous media are of interest in numerous applications ranging from hydrology,
hydrocarbon recovery, gas and nuclear waste storage, to drying of wood, transfer in food …

Abstract Systems dominated by heterogeneity over a multiplicity of scales, like porous
media, still challenge our modeling efforts. The presence of disparate length-and time …

The apparent gas permeability of a porous medium is an important parameter in the
prediction of unconventional gas production, which was first investigated systematically by …

A closed macroscopic model for quasi-steady, inertial, incompressible, two-phase
generalised Newtonian flow in rigid and homogeneous porous media is formally derived …

The simulation of gas flow in shale formation has been a major challenge in the oil and gas
industry due to related multiscale pore structure and nonlinear coupled processes such as …

This work addresses the macroscopic modeling of flow near porous media boundaries. This
includes the vicinity with a fluid channel (ie, a fracture), another rigid porous medium, or an …

An efficient method is reported to determine correction tensors at successive orders in the
Knudsen number (ie, the Klinkenberg and higher corrections) to approximate the apparent …

A new one-domain approach is developed in this work yielding an operational average
description of one-phase flow in the classical Beavers and Joseph configuration including a …

This article describes how much the computed absolute permeability is impacted by the slip
effect at the fluid/solid interface, in the context of single-phase pore-scale flow. While this …

This work reports on modelling unsteady gas flow in porous media at the macroscopic scale
in the slip regime, a topic of interest in a wide range of applications. The slip effect is …