pure and applied geophysics

, Volume 102, Issue 1, pp 78–90 | Cite as

Effect on dispersions in a multilayered medium due to the presence of an anisotropic layer

  • B. S. Sharma


In this paper we discuss the propagation of Rayleigh type waves in an elastic medium with two horizontal layers overlying a semi-infinite elastic medium above which lies a liquid layer. The upper solid layer is taken to be transversally isotropic the elastic properties of which are given by the strain energy volume density function
$$2 W = A(e_{xx^2 } + e_{yy^2 } ) + Ce_{xx^2 } + 2 F(e_{xx} + e_{yy} ) e_{zz} + 2(A - 2 N) e_{xx } e_{yy} + L(e_{yz^2 } + e_{zx^2 } ) + Ne_{xy^2 } .$$

The liquid layer is assumed to be homogeneous. The equation giving the wave velocity as a function of wave number is determined as a determinant of eleventh order which has further been simplified for different particular cases. The numerical solution of the problem will be conveyed in the next paper.


Density Function Wave Velocity Elastic Property Elastic Medium Liquid Layer 
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  1. [1]
    I. Abubakar andJ. A. Hudson, Geo. Jour. Roy. Astr. Soc.5 (1961), 217.Google Scholar
  2. [2]
    M. A. Biot, Bull. Seismol. Soc. Amer.42 (1952), 81.Google Scholar
  3. [3]
    R. Stoneley, Mon. Not. R. Astr. Soc. Geophys. Suppl.5 (1949), 343.Google Scholar
  4. [4]
    R. Stoneley, Bull. Seismol. Soc. Amer.47 (1957), 7.Google Scholar
  5. [5]
    I. Tolstoy, Bull. Seismol. Soc. Amer.44 (1954), 493.Google Scholar

Copyright information

© Birkhäuser Verlag 1973

Authors and Affiliations

  • B. S. Sharma
    • 1
  1. 1.Govt. CollegeKurukshetraIndia

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