The concept of tortuosity is an integral part of models that describe transport in multiscale
systems. Traditionally, tortuosity is defined as the ratio of an effective path length to the …

Over the past few years, developments in the theory and numerical simulation of transport
phenomena in porous media, along with related experimental measurements, have …

To obtain the effective parameters of a heterogeneous medium from the microscale
description, one has to solve a boundary value problem defined on a representative cell. For …

Transport in porous media is investigated by upscaling the pore scale behaviour. We use
the technique of multiscale asymptotic expansions which seems to be the most efficient …

The continuum hypothesis provides one alternative to dealing with transport phenomena in
porous media. If adapted correctly, the continuum approach may be easier than dealing with …

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 …

We introduce a new algorithm for setting pressure boundary conditions in subgrid
simulations of porous media flow. The algorithm approximates the flux in the boundary cell …

The upscaling process of mass transport with chemical reaction in porous media is carried
out using the method of volume averaging under diffusive and dispersive conditions. We …

In this work, we revisit the upscaling process of diffusive mass transfer of a solute
undergoing a homogeneous reaction in porous media using the method of volume …

In a recent paper,(McNabb, 1978), we set up a method allowing to compute both the
transient and steady-state exchange terms between the matrix and fractured regions of a …