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3D diffraction modeling of singly scattered acoustic wavefields based on the combination of surface integral propagators and transmission operators

By
Milana A. Ayzenberg
Milana A. Ayzenberg
Norwegian University of Science and Technology, Department of Petroleum Engineering and Applied Geophysics, Trondheim, Norway. E-mail: milana. ayzenberg@ipt.ntnu.no; bjorn.ursin@ntnu.no.
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Arkady M. Aizenberg
Arkady M. Aizenberg
Institute of Petroleum Geology and Geophysics SB RAS, Novosibirsk, Russia. E-mail: aizen@uiggm.nsc.ru; kamill@uiggm.nsc.ru.
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Hans B. Helle
Hans B. Helle
Odin PetroleumAS, HighTechnology Center in Bergen, Bergen, Norway. E-mail: hans.helle@odin-petroleum.no.
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Kamill D. Klem-Musatov
Kamill D. Klem-Musatov
Institute of Petroleum Geology and Geophysics SB RAS, Novosibirsk, Russia. E-mail: aizen@uiggm.nsc.ru; kamill@uiggm.nsc.ru.
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Jan Pajchel
Jan Pajchel
Norsk HydroAS,O&EResearch Centre, Bergen, Norway. E-mail: jan.pajchel@hydro.com.
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Bjørn Ursin
Bjørn Ursin
Norwegian University of Science and Technology, Department of Petroleum Engineering and Applied Geophysics, Trondheim, Norway. E-mail: milana. ayzenberg@ipt.ntnu.no; bjorn.ursin@ntnu.no.
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Published:
January 01, 2016

Abstract

We present an improved method for modeling 3D acoustic wavefields scattered at smooth curved interfaces. The approach is based on a high-frequency approximation of surface integral propagators and a correct description of their boundary values in terms of transmission operators. The main improvement is a uniform local approximation of these operators in the form of effective reflection and transmission coefficients. We show that the effective coefficients represent a generalization of the plane-wave coefficients widely used in conventional seismic modeling, even for the case of curved reflectors, nonplanar wave fronts, and finite frequencies. The proposed method is capable of producing complex wave phenomenas, such as caustics, edge diffractions, and head waves. Seismograms modeled for even simple models reveal significant errors implicit in the plane-wave approximation. Comparison of modeling based on effective coefficients with the analytic solution reveals errors less than 4% in peak amplitude at seismic frequencies.

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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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