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Shear Wave Propagation in Multilayered Medium including an Irregular Fluid Saturated Porous Stratum with Rigid Boundary

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  • Ravinder Kumar
  • Dinesh Kumar Madan
  • Jitander Singh Sikka

Abstract

The present investigation is concerned with the study of propagation of shear waves in an anisotropic fluid saturated porous layer over a semi-infinite homogeneous elastic half-space lying under an elastic homogeneous layer with irregularity present at the interface with rigid boundary. The rectangular irregularity has been taken in the half-space. The dispersion equation for shear waves is derived by using the perturbation technique followed by Fourier transformation. Numerically, the effect of irregularity present is analysed. It is seen that the phase velocity is significantly influenced by the wave number and the depth of the irregularity. The variations of dimensionless phase velocity against dimensionless wave number are shown graphically for the different size of rectangular irregularities with the help of MATLAB.

Suggested Citation

  • Ravinder Kumar & Dinesh Kumar Madan & Jitander Singh Sikka, 2014. "Shear Wave Propagation in Multilayered Medium including an Irregular Fluid Saturated Porous Stratum with Rigid Boundary," Advances in Mathematical Physics, Hindawi, vol. 2014, pages 1-9, November.
    • Handle: RePEc:hin:jnlamp:163505
    DOI: 10.1155/2014/163505
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