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Relation between P- and S-wave corner frequencies in the seismic spectrum

U.S. GEOLOGICAL SURVEY, 345 MIDDLEFIELD ROAD, MENLO PARK, CALIFORNIA 94025

Abstract

A comprehensive set of body-wave spectra has been calculated for the Haskell fault model generalized to a circular fault surface. These spectra are used to show that in practice the P-wave corner frequency (_p) may exceed the S-wave corner frequency (_s) when near-sonic or transonic rupture propagation obtains. The explanation appears to be that in such cases _s is so large that it is not identified within the recorded band, but rather a secondary corner is mistaken for _s. As a consequence of failing to detect the true asymptotic trend, the high-frequency falloff of the spectrum with frequency is substantially less for S waves than for P waves. This explanation appears to be consistent with the demonstration by Molnar, Tucker, and Brune (1973) that _p may exceed _s.

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