On the relative scattering of P- and S-waves

Details On the relative scattering of P- and S-waves On the relative scattering of P- and S-waves

Mar 1985

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1985geoj...80..603m&link_type=abstract

Geophysical Journal (ISSN 0016-8009), vol. 80, March 1985, p. 603-618.

Astronomy and Astrophysics

Astronomy

16

Attenuation Coefficients, P Waves, S Waves, Scattering Coefficients, Seismic Waves, Wave Scattering, Approximation, Astronomical Models, Earth (Planet), Power Spectra

Scientific paper

Using a single-scattering approximation, equations for the scattering attenuation coefficients of P-body and S-body waves are derived. The results are discussed in the light of the energy-renormalization approaches of Wu (1980, 1982) and Sato (1982) to seismic wave scattering. Practical methods for calculating the scattering attenuation coefficients for various earth models are emphasized. The conversions of P-waves to S-waves and S-waves to P-waves are included in the theory. The earth models are assumed to be randomly inhomogeneous, with their properties known only through their average-wavenumber power spectra. The power spectra are approximated with piecewise constant functions, each segment of which contributes to the net frequency-dependent scattering attenuation coefficient. The smallest and largest wavenumbers of a segment can be plotted along with the wavevectors of the incident and scattered waves on a wavenumber diagram. This diagram gives a geometric interpretation for the frequency behavior associated with each spectral segment, including a transition peak that is due entirely to the wavenumber limits of the segment. For regions of the earth where the inhomogeneity spectra are concentrated in a band of wavenumbers, it should be possible to observe such a peak in the apparent attenuation of seismic waves. Both the frequency and distance limits on the accuracy of the theoretical results are given.

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