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Stability of the P-to-S energy ratio in the diffusive regime

Department of Mathematics Stanford University, Stanford, California 94305

Abstract

We use the transport equations for elastic waves derived in Ryzhik et al. (1995) to obtain results about mode conversion that are of interest in seismology. These transport equations take into account the S-wave polarization and the P-to-S mode conversion. We also discuss the regime of deep coda waves where the diffusion approximation is valid. We show that the ratio of the P- and S-wave energy density equilibrates in a unique way that is independent of the details of the scattering. We note the relevance of this to the P/Lg energy stabilization observed in Hansen et al. (1990).

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