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Book Chapter

Ray Analysis of Surface-Wave Interaction with an Edge Crack

By
Jan D. Achenbach
Jan D. Achenbach
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Arthur K. Gautesen
Arthur K. Gautesen
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Daniel A. Mendelsohn
Daniel A. Mendelsohn
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Published:
January 01, 2016

Abstract

A ray-theory approach is presented to analyse scattering of Rayleigh surface waves by a surface-breaking crack. The two-dimensional problem of normal incidence on an edge crack of depth J in an elastic half-space is discussed in detail. The basic diffraction mechanisms in the high-frequency range al Ihe mouth and the edge of the crack are investigated one by one on the basis of elastodynamic ray theory. The results are then superimposed to yield simple expressions Tor the back-scallered and forward-scattered Rayleigh surface waves and for the el as tody nam k s I ress-in tensity factors, in terms of reflection, transmission, and diffraction coefficients. These approximate results axe compared with exact numerical results. Ckrod agreement is observed for djA > I. where A is the wavelength of the incident surface wave. A simple formula for the inverse problem is presented, which relates the periodicity of Ihe amplitude modulation in the high-frequency range directly to the depth d of the crack.

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Contents

Society of Exploration Geophysicists Geophysics Reprint Series

Seismic Diffraction

Kamil Klem-Musatov
Kamil Klem-Musatov
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Henning Hoeber
Henning Hoeber
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Michael Pelissier
Michael Pelissier
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Tijmen Jan Moser
Tijmen Jan Moser
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Society of Exploration Geophysicists
Volume
30
ISBN electronic:
9781560803188
Publication date:
January 01, 2016

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