Commun. Comput. Phys., 7 (2010), pp. 171-194.


Analytical Solution for Waves Propagation in Heterogeneous Acoustic/Porous Media. Part I: The 2D Case

Julien Diaz 1*, Abdelaaziz Ezziani 1

1 Project-team Magique-3D, INRIA Bordeaux Sud-Ouest; and LMA Pau, CNRS UMR 5142, I.P.R.A - Universite de Pau et des Pays de l'Adour, avenue de l'Universite BP 1155-64013 PAU CEDEX, France.

Received 17 September 2008; Accepted (in revised version) 20 April 2009
Available online 23 July 2009
doi:10.4208/cicp.2009.08.148

Abstract

Thanks to the Cagniard-de Hoop's method we derive the solution to the problem of wave propagation in an infinite bilayered acoustic/poroelastic media, where the poroelastic layer is modelled by the biphasic Biot's model. This first part is dedicated to solution to the two-dimensional problem. We illustrate the properties of the solution, which will be used to validate a numerical code.

AMS subject classifications: 34B27, 35L05, 35L15, 74F10, 74J05

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Key words: Biot's model, poroelastic waves, acoustic waves, acoustic/poroelastic coupling, analytical solution, Cagniard-de Hoop's technique, 2D.

*Corresponding author.
Email: Julien.Diaz@inria.fr (J. Diaz), Abdelaaziz.Ezziani@univ-pau.fr (A. Ezziani)
 

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