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Mesoscale Poroelasticity of Heterogeneous Media

TitleMesoscale Poroelasticity of Heterogeneous Media
Publication TypeJournal Article
Year of Publication2017
AuthorsMonfared S, Laubie H, Radjaï F, Pellenq RJean-Marc, Ulm F-J
JournalJournal of Nanomechanics and Micromechanics
Volume7
Issue4
PaginationArticle Number: UNSP 04017016
Date PublishedOct-19-2017
ISSN2153-5434
Abstract

The poromechanics of heterogeneous media is reformulated in a discrete framework using the lattice element method (LEM) that accounts for the presence of interfaces as well as local microtextural and elastic variations. The exchange of mechanical information between pore and solid(s) is captured by means of force field potentials for these domains, which eliminate the requirement of scale separability of continuum-based poromechanics approaches. In congruence with mu VT and NPT ensembles of statistical mechanics, discrete expressions for Biot poroelastic coefficients are derived. Considering harmonic-type interaction potentials for each link, analytical expressions for both isotropic and transversely isotropic effective elasticity are presented. The theory is validated against continuum-based expressions of Biot poroelastic coefficients for porous media with isotropic and transversely isotropic elastic solid behavior. (C) 2017 American Society of Civil Engineers.

URLhttp://ascelibrary.org/doi/10.1061/%28ASCE%29NM.2153-5477.0000136
DOI10.1061/(ASCE)NM.2153-5477.0000136
Short TitleJ. Nanomech. Micromech.
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