Analytical solution for waves propagation in heterogeneous acoustic/porous media. Part II: the 3D case

Julien Diaz; Abdelaâziz Ezziani

doi:10.4208/cicp.2009.08.149

Analytical solution for waves propagation in heterogeneous acoustic/porous media. Part II: the 3D case

Julien Diaz ^{1, 2} Abdelaâziz Ezziani ^{1, 2}

1 LMAP - Laboratoire de Mathématiques et de leurs Applications [Pau]

2 Magique 3D - Advanced 3D Numerical Modeling in Geophysics

LMAP - Laboratoire de Mathématiques et de leurs Applications [Pau], Inria Bordeaux - Sud-Ouest

Abstract : We are interested in the modeling of wave propagation in an infinite bilayered acoustic/poroelastic media. We consider the biphasic Biot's model in the poroelastic layer. The first part was devoted to the calculation of analytical solution in two dimensions, thanks to Cagniard de Hoop method. In this second part we consider the 3D case.

Keywords : Cagniard-De Hoop’s technique Biot's model acoustic waves analytical solution acoustic/poroelastic coupling 3D poroelastic waves

Document type :

Journal articles

Domain :

Mathematics [math] / Analysis of PDEs [math.AP]

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Analytical solution for waves propagation in heterogeneous acoustic/porous media. Part II: the 3D case

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