Discussion on various model of multiple scattering in acoustics and elastic heterogeneous media

Loïc Le Marrec (1) , Grégory Futhazar (1)

1 IRMAR - Institut de Recherche Mathématique de Rennes

The propagation of acoustic or elastic wave through an heterogeneous domain is investigated in 2D. For heterogeneous medium composed of discrete scattered embedded in a homogeneous matrix, effective medium theories consists in modeling the coherent part of the wave obtained form equivalent propagation along various distribution of scatterer. The main objective is to determine attenuation and dispersion of the wave. In the case of half-space or slab, transmission and reflection coefficient can be obtained. Here various model are presented and compared in the classical case: half-space heterogeneous domain probed by incident plane wave. A synthetic formalism is the occasion to generalized this problem to any bounded domain. It is the occasion to highlight some particular features of this full 2D-problem (where translational invariance along one direction is broken). In particular a new synthetic formulation of the QCA is proposed. Asymptotic calculation will be presented for low-frequency regime or dilute media.

Mots clés: Multiple-scattering; Effective wavenumber; Heterogeneous; Acoustic or elastic waves

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

Loïc Le Marrec, Grégory Futhazar. Discussion on various model of multiple scattering in acoustics and elastic heterogeneous media. Acoustics 2012, Apr 2012, Nantes, France. ⟨hal-00810698⟩