SH Wave Scattering from a Sinusoidal Grating

Abstract

A good way to test 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 novel use of an 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. Keywords: Numerical models, Seismic waves, Wave scattering.

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Document Details

Document Type
Technical Report
Publication Date
Aug 01, 1989
Accession Number
ADA219549

Entities

People

  • H. D. Axilrod
  • J. F. Ferguson

Organizations

  • University of Texas at Dallas

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  • Engineering

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