Technical Note
Dec 30, 2015

Influence of Initial Stress and Inhomogeneity on Propagation of Torsional Type Surface Wave in a Crustal Layer

Publication: International Journal of Geomechanics
Volume 16, Issue 4

Abstract

This article explores the propagation of torsional type surface waves in an initially stressed inhomogeneous layer of finite thickness lying over an inhomogeneous half-space. Inhomogeneity in this layer is caused by hyperbolic variation in directional rigidities, density, and initial stress. Inhomogeneity in the half-space is caused by linear variation in rigidity and density. The inhomogeneity parameter and the initial stress play major roles in the propagation of torsional type surface waves. This research derives the dispersion relation of the phase velocity in a concrete form using separation of variables and numerically calculates the velocities of torsional type waves as a function of dimensionless wave number.

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Acknowledgments

The fellowship received from University Grants Commission, New Delhi, through Grant No. F.7-79/2007(BSR) is gratefully acknowledged by the authors.

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Published In

Go to International Journal of Geomechanics
International Journal of Geomechanics
Volume 16Issue 4August 2016

History

Received: Sep 9, 2014
Accepted: Jun 18, 2015
Published online: Dec 30, 2015
Discussion open until: May 30, 2016
Published in print: Aug 1, 2016

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Authors

Affiliations

Shishir Gupta
Professor, Dept. of Applied Mathematics, Indian School of Mines, Dhanbad 826004, India.
Mostaid Ahmed [email protected]
Research Scholar, Dept. of Applied Mathematics, Indian School of Mines, Dhanbad 826004, India (corresponding author). E-mail: [email protected]
Santanu Manna
Post-Doctoral Fellow, Dept. of Earth Sciences, Indian Institute of Science Education and Research, Kolkata 741246, India.
Abhijit Pramanik
Research Scholar, Dept. of Applied Mathematics, Indian School of Mines, Dhanbad 826004, India.

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