Rayleigh Wave Scattering by a Near-Surface Inclusion in Elastic Half-Space

Abstract

We consider the problem of Rayleigh wave scattering by an inclusion of small wave sizes in the form of an oblate ellipsoid located under the free surface of an elastic isotropic half-space. The material parameters of the filling of the inclusion can have an arbitrary contrast with respect to the material parameters of the elastic medium containing the inhomogeneity. The solution of the problem is based on the formalism of the Green’s functions of a force source in a half-space and the reciprocity theorem for an elastic medium. The examples demonstrate the possibility of diagnosing the presence of a cavity, as well as estimating its sizes and orientation by analyzing the features of the distribution of the displacement vector projection amplitudes in the scattered field.