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pure and applied geophysics

, Volume 140, Issue 4, pp 613–628 | Cite as

Reflection and transmission ofSH waves in an initially stressed medium consisting of a sandy layer lying over a fluid-saturated porous solid

  • M. D. Sharma
  • M. L. Gogna
Article

Abstract

Biot's theory is employed to study the reflection and transmission ofSH waves in a sandy layer lying over a fluid-saturated porous solid half-space. The entire medium is considered under constant initial stress. Effects of sandiness, initial stress, anelasticity and viscosity of the interstitial fluid on the partitioning of energy are studied. In the presence of initial stress the incident wave starts attenuating when incider beyond a certain angle (depending upon the amount of initial stress), even if the medium is perfectly clastic. Anelasticity of the solid layer results in the dissipation of energy during transmission. The direction of attenuation vector of incident wave affects the dissipation energy to a large extent. Effect on partitioning of energy reverse at incidence after the critical angle. A complete account of energy returmed back to the underlying half-space and that which is dissipated in the overlying layer has been discussed analytically as well as numerically.

Key words

Propagation poroelastic viscosity anelasticity, dissipation, interstitial fluid, energy, parfition initial stress 

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Copyright information

© Birkhäuser Verlag 1993

Authors and Affiliations

  • M. D. Sharma
    • 1
  • M. L. Gogna
    • 1
  1. 1.Department of MathematicsKurukshetra UniversityKurukshetraIndia

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