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Book Chapter

Equivalence of the virtual-source method and wavefield deconvolution in seismic interferometry

By
Roel Snieder
Roel Snieder
Center for Wave Phenomena and Department of Geophysics, Colorado School of Mines, Golden, Colorado 80401, USA
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Jon Sheiman
Jon Sheiman
Shell International Exploration and Production Inc., 3737 Bellaire Blvd., Houston, Texas 77001-0481, USA (Received 26 October 2006; published 23 June 2006)
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Rodney Calvert
Rodney Calvert
Shell International Exploration and Production Inc., 3737 Bellaire Blvd., Houston, Texas 77001-0481, USA (Received 26 October 2006; published 23 June 2006)
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Published:
January 01, 2008

Seismic interferometry and the virtual-source method are related approaches for extracting the Green’s function that accounts for wave propagation between receivers by making suitable combinations of the waves recorded at these two receivers. These waves can either be excited by active, controlled, sources, or by natural incoherent sources. We compare this technique with the deconvolution of the wave field recorded at different receivers. We show that the deconvolved wave field is a solution of the same wave equation as that for the physical system, but that the deconvolved wave forms may satisfy different boundary conditions than those of the original system. We apply this deconvolution approach to the wave motion recorded at various levels in a building after an earthquake, and show how to extract the building response for different boundary conditions. Extracting the response of the system with different boundary conditions can be used to enhance, or suppress, the normal-mode response. In seismic exploration this principle can be used for the suppression of surface-related multiples.

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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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