HOME HELP FEEDBACK SUBSCRIPTIONS ARCHIVE SEARCH TABLE OF CONTENTS		QUICK SEARCH:   [advanced] Author: Keyword(s): Year:  Vol:  Page:

This Article Full Text (PDF) References Citation Map Services Email this article to a friend Similar articles in this journal Alert me to new issues of the journal Download to citation manager Citing Articles Citing Articles via Google Scholar Google Scholar Articles by Bhattacharya, S. N. Articles by Arora, S. Search for Related Content GeoRef GeoRef Citation

A flattening transformation for P-SV waves in a transversely isotropic Earth

Seismological Observatory India Meteorological Department, Lodi Road, New Delhi 110003 India snb{at}imd.ernet.in (91) (11) 4699216, 4623220
D.A.V. College for Women, Karnal 132001, India

Abstract

We solve the equations of P-SV motion in a transversely isotropic non-gravitating spherical shell with elastic parameters being proportional to r^p and density being proportional to r^p–2, where p is an arbitrary constant and r is the radial distance from the center of the Earth. The solutions are obtained in terms of exponential functions. The expression for the displacement-stress matrix becomes similar to that used in an isotropic flat-layered Earth. Thus, the existing formulations of this isotropic flat Earth can be used to study wave propagation in a transversely istropic spherical-layered Earth. As an example, one of the existing formulations of the isotropic flat Earth has been used successfully to find phase velocity and eigenfunctions of Rayleigh wave in a transversely isotropic spherical Earth.