Homogenisation of advective-diffusive transport in poroelastic media

Pascale Royer (1) , Fabien Cherblanc (1)

1 CGB - Couplages en Géomécanique et Biomécanique

Advective-diffusive solute transport in a poroelastic medium is usu- ally modelled at the macroscopic scale by considering a poro-elastic for- mulation 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 cou- pling term which reveals a mechanically-induced solute transport mechanism.

Domaines: Biomécanique [physics.med-ph]; Biomécanique [physics.med-ph]; Mécanique des fluides [physics.class-ph]; Mécanique des fluides [physics.class-ph]; Mécanique des matériaux [physics.class-ph]; Mécanique des matériaux [physics.class-ph]

Pascale Royer, Fabien Cherblanc. Homogenisation of advective-diffusive transport in poroelastic media. Mechanics Research Communications, 2010, 37, pp.133-136. ⟨hal-00683867⟩