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Bulletin of the Seismological Society of America; June 1990; v. 80; no. 3; p. 643-655
© 1990 Seismological Society of America
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SH-wave scattering from a sinusoidal grating: An evaluation of four discrete wavenumber methods

H. D. AXILROD and J. F. FERGUSON

CENTER FOR LITHOSPHERIC STUDIES THE UNIVERSITY OF TEXAS AT DALLAS, P. O. BOX 688, RICHARDSON, TEXAS 75080

Abstract

A useful test of discrete wavenumber modeling techniques is to model scattering from a sinusoidal free surface, while varying the maximum slope of the interface. Four discrete wavenumber methods, the Aki-Larner, the Waterman, the Waterman-Fourier, and the Campillo-Bouchon, are evaluated by testing for energy conservation and comparing displacement. Contrary to the claim of some authors (Varadan et al. 1987), the Waterman-Fourier shows no advantage over the Aki-Larner method for steep slopes. With the FFT to calculate the scattering matrix, the Waterman-Fourier method is as fast as Aki-Larner. The Campillo-Bouchon method is superior to the other methods in its ability to handle steep slopes, but it requires more wavenumber samples and is an order of magnitude slower.




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