Transient acoustic wave propagation in air-saturated porous media at low frequencies

Zine El Abiddine Fellah (1) , Mohamed Fellah (2) , F. G. Mitri (3) , Naima Sebaa (4) , Walter Lauriks (4) , Claude Dépollier (5)

1 LMA - Laboratoire de Mécanique et d'Acoustique [Marseille]
2 LPT - Laboratoire de Physique Théorique [University of Science and Technology Houari Boumediene]
3 Department of Physiology and Biomedical Engineering, Mayo Clinic College of Medicine
4 LATF - Laboratorium voor Akoestiek en Thermische Fysica
5 LAUM - Laboratoire d'Acoustique de l'Université du Mans

This paper provides a temporal model of the direct scattering problem for the propagation of transient low frequency waves in a homogeneous isotropic slab of porous material having a rigid frame. In this model, the inertial effects are described by the low frequency approximation of the tortuosity. The viscous and thermal losses of the medium are modeled by viscous and thermal permeabilities. The propagation equation is derived and solved analytically in the time domain. An original expression of Green's function of the porous medium is obtained. The transmission scattering operator of the first transmitted wave is calculated and compared with experimental data.

Domaines: Acoustique [physics.class-ph]; Acoustique [physics.class-ph]

Zine El Abiddine Fellah, Mohamed Fellah, F. G. Mitri, Naima Sebaa, Walter Lauriks, et al.. Transient acoustic wave propagation in air-saturated porous media at low frequencies. Journal of Applied Physics, 2007, 102 (8), pp.084906.1-084906.9. ⟨10.1063/1.2798930⟩. ⟨hal-00461001⟩