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A Numerical Method for Calculating Complete Theoretical Seismograms in Vertically Varying Media

  • Uri Ascher
  • Paul Spudich
Part of the Progress in Scientific Computing book series (PSC, volume 7)

Abstract

A numerical method is presented for calculating complete theoretical seismograms. The earth models are assumed to have velocity, density and attenuation profiles which are arbitrary piecewise-continuous functions of depth only. Solutions for the stress-displacement vectors in the medium are expanded in terms of orthogonal cylindrical functions. The resulting two-point boundary value problems are integrated by a variety of schemes, automatically chosen to suit the type of wave solution. These schemes include collocation for low-frequency and for highly evanescent waves, various special methods for highly oscillatory waves and for turning waves, and combinations of those. A Fourier-Bessel transform is then applied to get back into the space-time domain.

Keywords

Collocation Method Collocation Point Body Wave Evanescent Wave Synthetic Seismogram 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Birkhäuser Boston 1987

Authors and Affiliations

  • Uri Ascher
  • Paul Spudich

There are no affiliations available

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