Elastic waves in layered media: Two-scale homogenization approach
V. V. Shelukhin, A. E. Isakov · European Journal of Applied Mathematics · 2012
Using the two-scale convergence approach, we derive equations which govern transversal time-harmonic waves through a layered medium taking the form of a poroelastic composite saturated with a viscous fluid. To improve convergence, we construct a corrector. We study how wave speed and attenuation time depend on porosity and frequency. We prove that the Darcy permeability and the acoustic permeability in the Biot equations do not coincide.