Technical Papers
Jun 30, 2015

Propagation of Torsional Surface Wave in an Anisotropic Porous Medium over a Dry Sandy Half-Space

Publication: International Journal of Geomechanics
Volume 16, Issue 2

Abstract

The present paper deals with the propagation of torsional surface waves in an anisotropic porous layer over an inhomogeneous dry sandy half-space. The shear modulus of elasticity and density has been considered as variable in a porous layer, and the modulus of rigidity remains variable in a sandy half-space. The Whittaker function and its derivative give the result of the phase velocity equation using suitable boundary conditions. The effect of a dimensionless wave number on a dispersion curve has been found numerically, and a graphical representation of porosity and sandiness has been given. The derived dispersion equation found that the velocity of a torsional wave is influenced because of the presence of porosity, inhomogeneity, and sandy half-space. The study may be useful to understand the nature of seismic-wave propagation during earthquakes.

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Acknowledgments

The authors convey their sincere thanks to the Council of Scientific and Industrial Research (CSIR), New Delhi, for awarding the research Project No.: 25(0227)/13/EMR-II Dated: 05.09.2013 entitled “Study of Torsional Wave in Anisotropic and Nonhomogeneous Media.”

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Go to International Journal of Geomechanics
International Journal of Geomechanics
Volume 16Issue 2April 2016

History

Received: Oct 18, 2014
Accepted: Feb 19, 2015
Published online: Jun 30, 2015
Discussion open until: Nov 30, 2015
Published in print: Apr 1, 2016

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Authors

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Santimoy Kundu [email protected]
Assistant Professor, Dept. of Applied Mathematics, Indian School of Mines, Dhanbad-826004, India (corresponding author). E-mail: [email protected]
Ratan Mani Prasad [email protected]
Research Scholar, Dept. of Applied Mathematics, Indian School of Mines, Dhanbad-826004, India. E-mail: [email protected]
Shishir Gupta [email protected]
Professor, Dept. of Applied Mathematics, Indian School of Mines, Dhanbad-826004, India. E-mail: [email protected]
Santanu Manna [email protected]
Post-Doctoral Fellow, Dept. of Earth Sciences, Indian Institute of Science Education and Research Kolkata, West Bengal-741246, India. E-mail: [email protected]

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