From mixture theory to biot’s approach for porous media

✍ Scribed by Olivier Coussy; Luc Dormieux; Emmanuel Detournay

• Book ID: 104141571
• Publisher: Elsevier Science
• Year: 1998
• Tongue: English
• Weight: 309 KB
• Volume: 35
• Category: Article
• ISSN: 0020-7683
• DOI: 10.1016/s0020-7683(98)00087-0

✦ Synopsis

Two apparently di}erent approaches are used in dealing with the mechanics of a deform! able porous medium ] mixture theories on the one hand\ and purely macroscale theories\ which are mainly associated with the work of Biot\ on the other hand[ In the mixture theories\ the porous medium is represented by spatially superposed interacting media\ while macroscale theories assume that standard concepts of continuum mechanics are still relevant at the macro!level[ The aim of this paper is two!fold[ First\ it is shown that the macroscale _eld equations derived from mixture theories can be reformulated in terms of the measurable quantities involved in the macroscale theories[ Second\ it is demonstrated how these _eld equations\ including the fundamental inequality obtained from the second law\ entail the existence of a macroscale C!potential upon which a thermo! dynamically consistent formulation of the constitutive equations can be _rmly founded[ Þ 0887 Elsevier Science Ltd[ All rights reserved[