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Inhomogeneous Elastic Media with Constant Velocity

By
J. E. White
J. E. White
The Ohio Oil Company, Denver Research Center, Littleton, Colorado
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Published:
January 01, 2000

Abstract

In order to obtain a realistic description of the propagation of sound over long distances in the atmosphere or in the ocean, or to compute the paths deep in the earth followed by earthquake waves, one must take into account the continuous variations in properties of the atmosphere, the ocean, or the earth. With these and other applications in mind, authors have published dozens of articles on wave propagation in inho-mogeneous media, and a chapter is devoted to this subject in each of two recent books. [1, 2]. Attention has been focused exclusively on situations where velocity varies from point to point, and techniques for computing curved ray paths have been developed quite fully. It is the purpose of this paper to examine the case where density and elastic constants vary in direct proportion, so that the propagation velocity is constant throughout the medium. An interest in the propagation of elastic waves in a thin wedge led to this study, and the relation between a thin wedge and a linearly inhomogeneous medium is discussed.

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Contents

Society of Exploration Geophysicists Geophysics Reprint Series

Seismic Wave Propagation: Collected Works of J. E. White

J. E. White
J. E. White
Professor Emeritus, Colorado School of Mines
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Society of Exploration Geophysicists
Volume
21
ISBN electronic:
9781560802471
Publication date:
January 01, 2000

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