RAYLEIGH WAVES IN {\bf D}-CONSTANT MEDIA AT CHARACTERISTIC FREQUENCIES. II\@. NON-POISSONIAN MEDIA

Abstract

We construct analytically a class of elastic heterogeneous media for the non-Poissonian case $(\lambda\neq\mu)$ and present a simple description of the Rayleigh waves propagating in such media. The choice of the set of media is based on a simple type of the potential in the corresponding Sturm-Liouville matrix problem, provided the symmetric matrix {\bf D}, which defines the potential, is constant. That assumption allows us to derive a differential equation for the shear modulus and to investigate its solutions. Remaining parameters of the medium can be expressed in terms of the shear modulus. We consider the possibility of reconstructing the elastic parameters of the medium by means of the potential and analyze the modal structure of Rayleigh waves at characteristic frequencies.

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Computational Seismology, Vol. 2.