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Unified Green’s Function Retrieval by Cross Correlation

By
Kees Wapenaar
Kees Wapenaar
Department of Geotechnology, Delft University of Technology, 2600 GA Delft, The Netherlands
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Evert Slob
Evert Slob
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Roel Snieder
Roel Snieder
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Published:
January 01, 2008

It has been shown by many authors that the cross correlation of two recordings of a diffuse wave field at different receivers yields the Green’s function between these receivers. Recently the theory has been extended for situations where time-reversal invariance does not hold (e.g., in attenuating media) and where source-receiver reciprocity breaks down (in moving fluids). Here we present a unified theory for Green’s function retrieval that captures all these situations and, because of the unified form, readily extends to more complex situations, such as electrokinetic Green’s function retrieval in poroelastic or piezoelectric media. The unified theory has a wide range of applications in ‘‘remote sensing without a source.’’

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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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