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Article Dans Une Revue Mechanics Research Communications Année : 2010

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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Dates et versions

hal-01512642 , version 1 (24-04-2017)

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Pascale Royer, Fabien Cherblanc. Homogenisation of advective-diffusive transport in poroelastic media. Mechanics Research Communications, 2010, 37 (2), pp.133 - 136. ⟨10.1016/j.mechrescom.2009.11.003⟩. ⟨hal-01512642⟩
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