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In this paper we develop a multiple scattering model for elastic waves inrandom anisotropic media. It relies on a kinetic approach of wave propagationphenomena pertaining to the situation whereby the wavelength is comparable tothe correlation length of the weak random inhomogeneities--the so-called weakcoupling limit. The waves are described in terms of their associated energydensities in the phase space position x wave vector. They satisfy radiativetransfer equations in this scaling, characterized by collision operatorsdepending on the correlation structure of the heterogeneities. The derivationis based on a multi-scale asymptotic analysis using spatio-temporal Wignertransforms and their interpretation in terms of semiclassical operators, alongthe same lines as Bal [Wave Motion 43, 132-157 (2005)]. The model accounts forall possible polarizations of waves in anisotropic elastic media and theirinteractions, as well as for the degeneracy directions of propagation when twophase speeds possibly coincide. Thus it embodies isotropic elasticity which wasconsidered in several previous publications. Some particular anisotropic casesof engineering interest are derived in detail.

Kinetic modeling of multiple scattering of elastic waves in heterogeneous anisotropic media