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Applied Micromechanics of Porous Materials pp 3–56Cite as

Transport in Porous Media: Upscaling by Multiscale Asymptotic Expansions

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Part of the book series: CISM International Centre for Mechanical Sciences ((CISM,volume 480))

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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Author information

Authors and Affiliations

  1. Laboratoire Sols, Solides, structures (3S), UJF, INPG, CNRS UMR 5521, Grenoble, France

    Jean-Louis Auriault

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  1. Jean-Louis Auriault
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Editor information

Editors and Affiliations

  1. Ecole Nationale Des Ponts Et Chaussees, Champs Sur Marne, France

    Luc Dormieux

  2. Massachusetts Institute of Technology, Cambridge, MA, USA

    Franz-Josef Ulm

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Auriault, JL. (2005). Transport in Porous Media: Upscaling by Multiscale Asymptotic Expansions. In: Dormieux, L., Ulm, FJ. (eds) Applied Micromechanics of Porous Materials. CISM International Centre for Mechanical Sciences, vol 480. Springer, Vienna. https://doi.org/10.1007/3-211-38046-9_1

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  • DOI: https://doi.org/10.1007/3-211-38046-9_1

  • Publisher Name: Springer, Vienna

  • Print ISBN: 978-3-211-26362-4

  • Online ISBN: 978-3-211-38046-8

  • eBook Packages: EngineeringEngineering (R0)

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