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pure and applied geophysics

, Volume 63, Issue 1, pp 11–14 | Cite as

Operational interpretation of some integral equations occurring in impulsive wave propagation problems in layered media

  • Umesh Chandra
Article
  • 20 Downloads

Summary

Inversion formulae for the operational interpretation of some integral equations, with the exponent of the integrand involving any number of radicals, are given. Equations of the form considered here are of common occurrence to quite a wide variety of impulsive wave propagation problems.

Keywords

Integral Equation Wave Propagation Propagation Problem Common Occurrence Layered Medium 
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]
    L. Cagniard,Réflexion et réfraction des ondes séismiques progressives, Gauthier-Villars (Paris 1939).Google Scholar
  2. [2]
    H. Lamb,On the Propagation of Tremors over the Surface of an Elastic Solid, Phil. Trans. Roy. Soc. [A]203 (1904), 1.Google Scholar
  3. [3]
    I. M. Longman,Solution of an Integral Equation Occurring in the Study of Certain Wave-Propagation Problems in Layered Media, J. Acoust. Soc. Amer.33 (1961), 954.Google Scholar
  4. [4]
    C. L. Pekeris,The Seismic Burried Pulse, Proc. Nat. Acad. Sci., USA41 (1955), 629.Google Scholar
  5. [5]
    C. L. Pekeris,Solution of an Integral Equation Occurring in Impulsive Wave Propagation Problems, Proc. Nat. Acad. Sci., USA42 (1956), 439.Google Scholar

Copyright information

© Birkhäuser Verlag 1966

Authors and Affiliations

  • Umesh Chandra
    • 1
  1. 1.School of Research and Training in Earthquake EngineeringUniversity of Roorkee(India)

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