Analytical Solution for Wave Propagation in Stratified Acoustic/Porous Media. Part I: the 2D Case

Julien Diaz (1, 2) , Abdelaâziz Ezziani (1, 2)

1 Magique 3D - Advanced 3D Numerical Modeling in Geophysics
2 LMAP - Laboratoire de Mathématiques et de leurs Applications [Pau]

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. This first part is devoted to the calculation of analytical solution in two dimensions, thanks to Cagniard de Hoop method. The solution is validated through comparison with solutions obtained by a numerical code. In the second part we'll consider the 3D case.

Mots clés: Biot's model; poroelastic waves; acoustic waves; acoustic/poroelastic coupling; analytical solution; Cagniard-De Hoop's technique

Domaines: Equations aux dérivées partielles [math.AP]; Géophysique [physics.geo-ph]; Géophysique [physics.geo-ph]; Milieux et Changements globaux

Julien Diaz, Abdelaâziz Ezziani. Analytical Solution for Wave Propagation in Stratified Acoustic/Porous Media. Part I: the 2D Case. [Research Report] 2008, pp.28. ⟨inria-00274136v1⟩