The role of tortuosity in upscaling
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 …
systems. Traditionally, tortuosity is defined as the ratio of an effective path length to the …
Recent developments in upscaling and characterization of flow and transport in porous media
Over the past few years, developments in the theory and numerical simulation of transport
phenomena in porous media, along with related experimental measurements, have …
phenomena in porous media, along with related experimental measurements, have …
Upscaling: cell symmetries and scale separation
JL Auriault, J Lewandowska - Transport in porous media, 2001 - Springer
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 …
description, one has to solve a boundary value problem defined on a representative cell. For …
Transport in porous media: upscaling by multiscale asymptotic expansions
JL Auriault - Applied micromechanics of porous materials, 2005 - Springer
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 technique of multiscale asymptotic expansions which seems to be the most efficient …
Flow and solute transport in saturated porous media: 1. The continuum hypothesis
A Salama, PJ Van Geel - Journal of Porous Media, 2008 - dl.begellhouse.com
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 …
porous media. If adapted correctly, the continuum approach may be easier than dealing with …
Theory and applications of macroscale models in porous media
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 …
media, still challenge our modeling efforts. The presence of disparate length-and time …
Effective flux boundary conditions for upscaling porous media equations
TC Wallstrom, MA Christie, LJ Durlofsky… - Transport in Porous …, 2002 - Springer
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 …
simulations of porous media flow. The algorithm approximates the flux in the boundary cell …
On diffusion, dispersion and reaction in porous media
FJ Valdés-Parada, CG Aguilar-Madera… - Chemical Engineering …, 2011 - Elsevier
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 …
out using the method of volume averaging under diffusive and dispersive conditions. We …
Upscaling diffusion and nonlinear reactive mass transport in homogeneous porous media
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 …
undergoing a homogeneous reaction in porous media using the method of volume …
Up-scaling flow in fractured media: equivalence between the large scale averaging theory and the continuous time random walk method
B Noetinger, T Estebenet, M Quintard - Transport in Porous Media, 2001 - Springer
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 …
transient and steady-state exchange terms between the matrix and fractured regions of a …