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Extracting the Green’s function of attenuating heterogeneous acoustic media from uncorrelated waves

By
Roel Snieder
Roel Snieder
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Published:
January 01, 2008

The Green’s function of acoustic or elastic wave propagation can, for loss-less media, be retrieved by correlating the wave field that is excited by random sources and is recorded at two locations. Here the generalization of this idea to attenuating acoustic waves in an inhomogeneous medium is addressed, and it is shown that the Green’s function can be retrieved from waves that are excited throughout the volume by spatially uncorrelated injection sources with a power spectrum that is proportional to the local dissipation rate. For a finite volume, one needs both volume sources and sources at the bounding surface for the extraction of the Green’s functions. For the special case of a homogeneous attenuating medium defined over a finite volume, the phase and geometrical spreading of the Green’s function is correctly retrieved when the volume sources are ignored, but the attenuation is not. © 2007 Acoustical Society of America. [DOI: 10.1121/1.2713673].

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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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