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Amplitudes of Seismic Waves — A Quick Look

By
Fred J. Hilterman
Fred J. Hilterman
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Published:
January 01, 2016

Abstract

A form of Kirchhoff’s wave equation is presented which is useful to the geophysicist doing an amplitudeinterpretation of seismic reflection data. A simple rearrangement of Kirchhoff’s retarded potential equation allowsthe reflection process to be evaluated as a convolution of the derivative of the source wavelet with a term called the“wavefront sweep velocity”. The wavefront sweep velocity is a measure of the rate at which the incidentwavefront covers the reflecting boundary.

By comparing wavefront sweep velocities for geologic models with different curvature, one obtains an intuitive feeling forthe relation of diffraction and reflection amplitudes to boundary curvature. Also, from this convolutional form of the waveequation, the geometrical optics solution for reflection amplitude is easily obtained. But more important, from thewave-front sweep velocity approach, a graphical method evolves which allows the geophysicist to use compass and ruler toestimate the effects of curvature and diffraction on seismic amplitude.

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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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