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Elastic waves in layered media: Two-scale homogenization approach

Published online by Cambridge University Press:  01 August 2012

V. V. SHELUKHIN  and
A. E. ISAKOV
V. V. SHELUKHIN
Affiliation:
Lavrentyev Institute of Hydrodynamics, Novosibirsk 630090, Russia emails: shelukhin@list.ru, foru86@mail.ru
A. E. ISAKOV
Affiliation:
Lavrentyev Institute of Hydrodynamics, Novosibirsk 630090, Russia emails: shelukhin@list.ru, foru86@mail.ru
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Abstract

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.

Keywords

74Q1074Q1576S0535B27

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Type
Papers
Information
European Journal of Applied Mathematics , Volume 23 , Issue 6 , December 2012 , pp. 691 - 707
Copyright
Copyright © Cambridge University Press 2012

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