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Book Chapter

Coherent interferometric imaging in clutter

By
Liliana Borcea
Liliana Borcea
1
Computational and Applied Mathematics, Rice University, 6100 Main Street, MS 134, Houston, Texas 77005-1892. E-mail: borcea@caam.rice.edu.
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George Papanicolaou
George Papanicolaou
2
Stanford University, Department of Mathematics, Stanford, California 94305. E-mail: papanico@math.stanford.edu.
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Chrysoula Tsogka
Chrysoula Tsogka
3
University of Chicago, Department of Mathematics, Chicago, Illinois 60637. E-mail: tsogka@math.uchicago.edu.
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Published:
January 01, 2008

Abstract

Coherent interferometry is an array-imaging method in which we back-propagate, or migrate, crosscorrelations of the traces over appropriately chosen space-time windows rather than the traces themselves. The size of the space-time windows is critical and depends on two parameters. One is the decoherence frequency, which is proportional to the reciprocal of the delay spread in the traces produced by the clut-ter. The other is the decoherence length, which also depends on the clutter. As is usual, the clutter is modeled by random fluctuations in the medium properties. In isotropic clutter, the decoherence length is typically much shorter than the array aperture. In layered random media, the decoherence length along the layers can be quite long. We show that when the crosscorrelations of the traces are calculated adaptively, co-herent interferometry can provide images that are statistically stable relative to small-scale clutter in the environment. This means that the images we obtain are not sensitive to the detailed form of the clutter. They only depend on its overall statistical properties. However, clutter does reduce the resolution of the images by blurring. We show how the amount of blurring can be minimized by using adaptive interferometric imaging algorithms and discuss the relation between the coherence properties of the array data and the loss in resolution caused by the blurring.

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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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