Low scale separation induces modification of apparent solute transport regime in porous media - Université de Montpellier Accéder directement au contenu
Article Dans Une Revue Mechanics Research Communications Année : 2018

Low scale separation induces modification of apparent solute transport regime in porous media

Résumé

First order asymptotic homogenization allows to determine the effective behaviour of a porous medium by starting from the pore scale description, when there is a large separation between the pore scale and the macroscopic scale. When the scale ratio is â ˘ AIJsmall but not too small,â ˘ A ˙ I additional terms need to be taken into account, which can be obtained by exploiting higher order equations in the asymptotic homogenization procedure. The aim of the present study is to derive second order models to describe solute transport in a macroscopically homogeneous porous medium at low scale separation. The three following macroscopic transport regimes are successively considered: pure diffusion with fluid at rest, predominant diffusion with fluid in motion and advection-diffusion. The results show that while the transport regime remains of diffusive type when the fluid is at rest, low scale separation induces modification of apparent transport regime when fluid is in motion. Indeed, predominant diffusion and advection-diffusion lead to the apparent regimes of advection-diffusion and of dispersion, respectively.
Fichier principal
Vignette du fichier
Art_Royer_Low_scale_separation_2017.pdf (244.04 Ko) Télécharger le fichier
Origine Fichiers produits par l'(les) auteur(s)
Loading...

Dates et versions

hal-01667675 , version 1 (19-12-2017)

Identifiants

Citer

Pascale Royer. Low scale separation induces modification of apparent solute transport regime in porous media. Mechanics Research Communications, 2018, 87, pp.29-34. ⟨10.1016/j.mechrescom.2017.12.003⟩. ⟨hal-01667675⟩
163 Consultations
214 Téléchargements

Altmetric

Partager

Gmail Mastodon Facebook X LinkedIn More