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Book Chapter

Removing free-surface multiples from teleseismic transmission and constructed reflection responses using reciprocity and the inverse scattering series

By
Chengliang Fan
Chengliang Fan
Chevron, North AmericaExploration and Production, Houston, Texas 77002. E-mail: fancl@chevron.com.
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Gary L. Pavlis
Gary L. Pavlis
Indiana University, Bloomington, Department of Geological Sciences, Bloomington, Indiana 47405. E-mail: paulis@indiana.edu.
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Arthur B. Weglein
Arthur B. Weglein
University of Houston, Department of Physics, SRI-605,617 Science and Research, Building 1, Houston, Texas 77204. E-mail: aweglein@uh.edu.
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Bogdan G. Nita
Bogdan G. Nita
Montclair State University, Department of Mathematical Sciences, 1 Normal Avenue, Montclair, New Jersey 07043. E-mail: nitab@ mail.montclair.edu.
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Published:
January 01, 2008

Abstract

We develop a new way to remove free-surface multiples from teleseismic P- transmission and constructed reflection responses. We consider two types of teleseismic waves with the presence of the free surface: One is the recorded waves under the real transmission geometry; the other is the constructed waves under a virtual reflection geometry. The theory presented is limited to 1D plane wave acoustic media, but this approximation is reasonable for the teleseismic P-wave problem resulting from the steep emergence angle of the wavefield. Using one-way wavefield reciprocity, we show how the teleseismic reflection responses can be reconstructed from the teleseismic transmission responses. We use the inverse scattering series to remove free-surface multiples from the original transmission data and from the reconstructed reflection response. We derive an alternative algorithm for reconstructing the reflection response from the transmission data that is obtained by taking the difference between the teleseismic transmission waves before and after free-surface multiple removal. Numerical tests with 1D acoustic layered earth models demonstrate the validity of the theory we develop. Noise test shows that the algorithm can work with S/N ratio as low as 5 compared to actual data with S/N ratio from 30 to 50. Testing with elastic synthetic data indicates that the acoustic algorithm is still effective for small incidence angles of typical teleseismic wavefields.

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Contents

Society of Exploration Geophysicists Geophysics Reprint Series

Seismic Interferometry: History and Present Status

Kees Wapenaar
Kees Wapenaar
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Deyan Draganov
Deyan Draganov
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Johan O.A. Robertsson
Johan O.A. Robertsson
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Society of Exploration Geophysicists
Volume
26
ISBN electronic:
9781560801924
Publication date:
January 01, 2008

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