Homogenisation of advective-diffusive transport in poroelastic media
Résumé
Advective-diffusive solute transport in a poroelastic medium is usually modelled at the macroscopic scale by considering a poro-elastic formulation associated with the classical advective-diffusive solute transport equation. The purpose of the present work is to rigorously determine the macroscopic model by starting with the pore-scale equations that describe transient advective/diffusive solute transport in a saturated deformable elastic porous medium. The macroscopic model is derived by using an homogenisation method. It includes Biot's model of consolidation and a transport equation of advective-diffusive type. This latter contains a coupling term which reveals a mechanically-induced solute transport mechanism .
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Requiert hal-01512650 Article Pascale Royer, Fabien Cherblanc. Corrigendum to "Homogenisation of advective-diffusive transport in poroelastic media" [Mech. Res. Commun. 37 (2010) 133-136]. Mechanics Research Communications, 2016, 73, pp.145-147. ⟨10.1016/j.mechrescom.2016.02.016⟩. ⟨hal-01512650⟩