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Love Waves in a Slab with Rough Boundaries

  • A. Wirgin
Part of the Springer Series on Wave Phenomena book series (SSWAV, volume 7)

Abstract

The earth, like most natural material bodies, is a heterogeneous structure with a rough envelope. In dealing with the theoretical problems of earthquake damage and determining the earth’s structure from seismograms, the usual procedure is to first model the earth by a series of concentric layers around a core, it being assumed that each boundary, including the outer envelope, is a perfect spherical surface. A more radical approximation, often used in connection with surface wave studies, is to take these boundaries to be flat, parallel planes (Fig. 1). In this context, the problem of earthquakes reduces to one of the propagation of elastic waves in a medium whose (piecewise constant) elastic constants are a function of the vertical coordinate only.

Keywords

Dispersion Curve Rayleigh Wave Helmholtz Equation Love Wave Helmholtz Equation 
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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References

  1. 1.
    W. M. Ewing, W.S. Jardetsky, F. Press: Elastic Waves in Layered Media, ( McGraw-Hill, New York 1957 )MATHGoogle Scholar
  2. 2.
    K. Aki, P.G. Richards: Quantitative Seismology: Theory and Methods, (Freeman, San Francisco 1980) Vol. 2, pp. 751–765Google Scholar
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    N.E. Glass, R. Loudon, A.A. Maradudin: Phys. Rev. B 24, 6843 (1981)CrossRefADSGoogle Scholar
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    A.G. Eguiluz, A.A. Maradudin: Phys. Rev. B 28, 728 (1983)CrossRefADSGoogle Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 1988

Authors and Affiliations

  • A. Wirgin
    • 1
  1. 1.Laboratoire de Modélisation en MécaniqueUniversité Paris VIParis Cedex 05France

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