pure and applied geophysics

, Volume 98, Issue 1, pp 87–101 | Cite as

Rayleigh waves in an inhomogeneous medium

  • Prakash Chandra Singh


Dispersion in Rayleigh waves is discussed for semi-infinite media withμ =μ1(1 ±ε cos s z) andμ =μ1(1 ±ε cosh s z), μ being the rigidity of the medium. A few workers tried with the above Fourier type of model but failed to find the dispersive nature. Because they neglected εs due to the complexity of the calculation they arrived at a non dispersive frequency equation. This difficulty is removed in this paper and a dispersive frequency equation is obtained which shows both direct and inverse dispersion. The second model leads to non-convergent solution forz→∞ but shows many interesting results which are also discussed.


Fourier Rayleigh Wave Inhomogeneous Medium Dispersive Frequency Frequency Equation 
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Copyright information

© Birkhäuser Verlag 1972

Authors and Affiliations

  • Prakash Chandra Singh
    • 1
  1. 1.Department of Mathematics and GeophysicsBengal Engineering CollegeHowrahIndia

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