Elastic scattering of P and S wave from a continuous and heterogeneous layer, Research Report

Elastic scattering from a continuous and laterally unbounded heterogeneous layer has been formulated using the Born approximation. A general solution of the scattered wave equation for the above-stated medium has been given in terms of a Fourier integral over plane waves. Far-field asymptotic expressions for weak elastic scattering by a finite, continuous and inhomogeneous layer have been presented which agree with earlier results. For perturbations of the two elastic parameters and the density having the same form of spatial variation, the spectrum of plane waves scattered from a heterogeneous layer is expressed as a product of an ‘elastic scattering factor ’ and a ‘distribution factor’. As in earlier results for small-scale heterogeneity, the scattering pattern depends on various combinations of perturba-tions of elastic parameters and density. In order to show the general characteristics of the elastic wave scattering, some scattering patterns have been given. Key words: elastic wave theory, scattering.