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Seismic modelling by methods of the theory of edge waves

By
K.D. Klem-Musatov
K.D. Klem-Musatov
Institute of Geology and Geophysics of ihe Siberian Branch of ihe Academy of Sciences of the USSR. Univcrsitetskii prospekt 3, Novosibirsk, 90, USSR
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A.M. Aizenberg
A.M. Aizenberg
Institute of Geology and Geophysics of ihe Siberian Branch of ihe Academy of Sciences of the USSR. Univcrsitetskii prospekt 3, Novosibirsk, 90, USSR
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Published:
January 01, 2016

Abstract

This paper deals with the computation of wavefields in 3-D inhomogeneous media Containing structural elements such as pinch-outs, vertical and oblique contacts, faults, etc. The approach is based on the theory of edge waves. The total wavefield is considered as the superposition or two parts. The first part is described by the ray method. It has discontinuities because of its shadow boundaries. The second part is a superposition of two types of diffracted w:aves. caused by the edges and vertices of interfaces. This part smooths the above-mentioned discontinuities so lhat the total wavefield is continuous. Of special importance is the mathematical farm of the amplitudes of diffracted waves, described with unified functions of eikonals. In fact, it allows all additional computalions 10 be considered by finding the eikonals of diffracled waves. A modification or 1 lie ray method including diffraction by edges and vertices is described. A generalization of ihe concept of edge waves for caustic situations is given the method of superposition of edge,tip waves. The result of such a generalization no longer supplements the geometrical seismic description, but completely replaces il by a new description valid for a broader class of wave phenomena (reflection refraction, diffraction on edges and vertices, formation of caustics, etc.).

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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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