Mesoscale Poroelasticity of Heterogeneous Media

Siavash Monfared (1) , Hadrien Laubie (1) , Farhang Radjai (2, 3) , Roland J. M. Pellenq (3) , Franz-Josef Ulm (1)

1 CEE - Department of Civil and Environmental Engineering [Cambridge]
2 PMMD - Physique et Mécanique des Milieux Divisés
3 MSE 2 - Multiscale Material Science for Energy and Environment

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.

Domaines: Mécanique des matériaux [physics.class-ph]

Siavash Monfared, Hadrien Laubie, Farhang Radjai, Roland J. M. Pellenq, Franz-Josef Ulm. Mesoscale Poroelasticity of Heterogeneous Media. Journal of Nanomechanics and Micromechanics, 2017, 7 (4), pp.04017016. ⟨10.1061/(ASCE)NM.2153-5477.0000136⟩. ⟨hal-02095006⟩