title: Stochastic theory of dynamic permeability in poroelastic media.
abstract: A theory for the dynamic permeability in deformable porous media is developed. The analysis is based on the momentum flux transfer from the slow compressional into the slow shear wave (a proxy for the viscous wave in a Newtonian fluid) in the presence of random pore-scale heterogeneities. A first-order statistical smoothing approximation is used to infer a dynamic permeability in the form of an integral over the covariance function modulated by the slow shear wave. In a smooth pore-throat limit the results reproduce the model proposed by Johnson et al. [J. Fluid Mech. 176, 379 (1987)].
authors.affiliation: CSIRO Earth Science and Resource Engineering, Perth, WA 6151, Australia. tobias.mueller@csiro.au
authors.forename: Tobias M
authors.initials: TM
authors.lastname: Müller
authors.forename: Pratap N
authors.initials: PN
authors.lastname: Sahay
mesh_terms: D004548:Elasticity; D008962:Models, Theoretical; D010539:Permeability; D016062:Porosity; D013269:Stochastic Processes