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The relationship between two- and three-dimensional elastic-wave propagation

GEOPHYSICS DIVISION DEPARTMENT OF PHYSICS UNIVERSITY OF TORONTO, TORONTO, ONTARIO, Canada

Abstract

A technique similar to inverting Abel's equation is used to invert the descent of dimensions method between three-dimensional, cylindrically-symmetric and two-dimensional wave propagation. The end result is a very simple relationship between the two types of wave propagation. Apart from its intrinsic interest, the large number of two-dimensional studies reported in the literature could now be related to their three-dimensional counterparts.

Footnotes

^* Present address: Geophysical Exploration Corporation, 6101 Southwest Freeway, Houston Texas, 77027, U. S. A.

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