Abstract

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 method to obtaining macroscopic equivalent behaviours. Different transport phenomena are addressed: fluid flow through a saturated porous medium (Darcy’s law), diphasic flow (coupled Darcy’s laws), solute transport (diffusion, advection, dispersion) and fluid flow through deformable porous media (consolidation).

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