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Elastodynamic Green’s tensor in vertically transversely isotropic media
ZHAO LI,
EVGENY M. CHESNOKOV
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Department of Earth and Atmospheric Sciences, University of Houston, Houston, TX 77004, U.S.A.,
JSE 2015, 24(3), 259–280;
Submitted: 15 January 2015 | Accepted: 19 April 2015 | Published: 1 July 2015
© 2015 by the Authors. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution 4.0 International License ( https://creativecommons.org/licenses/by/4.0/ )
Abstract
Li, Z. and Chesnokov, E.M., 2015. Elastodynamic Green’s tensor in vertically transversely isotropic media. Journal of Seismic Exploration, 24: 259-280. The elastodynamic Green’s tensor in a vertically transversely isotropic (VTI) medium is presented explicitly as an inverse Hankel transform. The asymptotic solution is found by the stationary phase approximation. An approximate formula in weak VTI media is derived based on a novel way of expanding the vertical slowness linearly to anisotropic parameters in which case the stationary-phase points can be found analytically. The approximate solution will become exact when the medium degenerates into an elliptical VTI rather than an isotropic medium.
Keywords
anisotropy
Green’s tensor
asymptotic
VTI
analytic solution
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