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pure and applied geophysics

, Volume 91, Issue 1, pp 40–50 | Cite as

Love waves in inhomogeneous and anisotropic earth — I

  • V. Thapliyal
Article

Summary

The frequency equation is derived for the propagation of Love waves in the earth's crust, composed of transversely isotropic layers and overlying anisotropic and inhomogeneous mantle. The exact boundary value problem is solved for a single layer and extended to multilayered media by generalizing theHaskell's technique. In fact the problem of deriving the frequency equation has been reduced to finding out the solution of the equation of motion subject to the appropriate boundary conditions. To illustrate the method, the author has derived frequency equations of Love waves for linear, exponential and generalized power law variation of vertical shear wave velocity with depth in the half space overlain by transversely isotropic inhomogeneous stratum.

Keywords

Shear Wave Wave Velocity Half Space Shear Wave Velocity Love Wave 
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]
    Don L. Anderson,Elastic wave propagation in layered anisotropic media, J. Geophys. R.66, No. 9 (1961), 2953–2963.Google Scholar
  2. [2]
    Don L. Anderson,Love wave dispersion in heterogeneous anisotropic media. Geophys.XXVII, No. 4 (1962) 445–454.Google Scholar
  3. [3]
    V. Thapliyal,Love waves in a sedimentary layer lying over an anisotropic and inhomogeneous half space, Accepted for publication in Pure and Applied Geophysics.Google Scholar
  4. [4]
    V. Thapliyal,Effects of transverse isotropy and inhomogeneity on Love waves, Part A, Communicated to Indian Journal of Meteorology and Geophysics.Google Scholar
  5. [5]
    N. A. Haskell,Dispersion of surface waves on multilayered media, Bull. Seism. Soc. Am.43 (1953), 17–34.Google Scholar

Copyright information

© Birkhäuser Verlag 1971

Authors and Affiliations

  • V. Thapliyal
    • 1
  1. 1.1170/11, India Meteorological DepartmentPoona-5India

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