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Mesoscale Poroelasticity of Heterogeneous Media

Author(s)
Monfared, Siavash; Laubie, Hadrien H; Radjai, Farhang; Pellenq, Roland Jm; Ulm, Franz-Josef
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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 μVT 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.
Date issued
2017-10
URI
http://hdl.handle.net/1721.1/112224
Department
Massachusetts Institute of Technology. Department of Civil and Environmental Engineering
Journal
Journal of Nanomechanics and Micromechanics
Publisher
American Society of Civil Engineers (ASCE)
Citation
Monfared, Siavash et al. “Mesoscale Poroelasticity of Heterogeneous Media.” Journal of Nanomechanics and Micromechanics 7, 4 (December 2017): 04017016 © 2017 American Society of Civil Engineers (ASCE)
Version: Author's final manuscript
ISSN
2153-5434
2153-5477

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