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Book Chapter

Correlation of random wavefields: An interdisciplinary review

By
Eric Larose
Eric Larose
Laboratoire de Géophysique Interne et de Tectonophysique, Université Joseph Fourier and CNRS, Maison des Géosciences, BP 53,38041 Grenoble, Cedex 9, France. E-mail: ludovic.margerin@ujf-grenoble.fr; apaul@ujf-grenoble.fr; eric.larose@obs.ujf-grenoble.fr; laurent.stehly@obs.ujf-grenoble.fr; michel.campillo@ujf-grenoble.fr.
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Ludovic Margerin
Ludovic Margerin
Laboratoire de Géophysique Interne et de Tectonophysique, Université Joseph Fourier and CNRS, Maison des Géosciences, BP 53,38041 Grenoble, Cedex 9, France. E-mail: ludovic.margerin@ujf-grenoble.fr; apaul@ujf-grenoble.fr; eric.larose@obs.ujf-grenoble.fr; laurent.stehly@obs.ujf-grenoble.fr; michel.campillo@ujf-grenoble.fr.
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Arnaud Derode
Arnaud Derode
Laboratoire Ondes et Acoustique, Université Paris 7 and CNRS, ESPCI, 10 rue Vauquelin, 75005 Paris, France. E-mail: arnaud.derode@espci.fr; michael.tanter@espci.fr.
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Bart van Tiggelen
Bart van Tiggelen
Laboratoire de Physique et Modélisation des Milieux Condenses, Université Joseph Fourier and CNRS, Maison des Magistéres, BP 166,38042, Grenoble Cedex 9, France. E-mail: bart.van-tiggelen@grenoble-cnrs.fr.
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Michel Campillo
Michel Campillo
Laboratoire de Géophysique Interne et de Tectonophysique, Université Joseph Fourier and CNRS, Maison des Géosciences, BP 53,38041 Grenoble, Cedex 9, France. E-mail: ludovic.margerin@ujf-grenoble.fr; apaul@ujf-grenoble.fr; eric.larose@obs.ujf-grenoble.fr; laurent.stehly@obs.ujf-grenoble.fr; michel.campillo@ujf-grenoble.fr.
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Nikolai Shapiro
Nikolai Shapiro
Center for Imaging of the Earth’s Interior, Department of Physics, University of Colorado at Boulder, Campus Box 390, Boulder, Colorado 80309. E-mail: nshapiro@ipgp.jussieu.fr.
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Anne Paul
Anne Paul
Laboratoire de Géophysique Interne et de Tectonophysique, Université Joseph Fourier and CNRS, Maison des Géosciences, BP 53,38041 Grenoble, Cedex 9, France. E-mail: ludovic.margerin@ujf-grenoble.fr; apaul@ujf-grenoble.fr; eric.larose@obs.ujf-grenoble.fr; laurent.stehly@obs.ujf-grenoble.fr; michel.campillo@ujf-grenoble.fr.
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Laurent Stehly
Laurent Stehly
Laboratoire de Géophysique Interne et de Tectonophysique, Université Joseph Fourier and CNRS, Maison des Géosciences, BP 53,38041 Grenoble, Cedex 9, France. E-mail: ludovic.margerin@ujf-grenoble.fr; apaul@ujf-grenoble.fr; eric.larose@obs.ujf-grenoble.fr; laurent.stehly@obs.ujf-grenoble.fr; michel.campillo@ujf-grenoble.fr.
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Mickael Tanter
Mickael Tanter
Laboratoire Ondes et Acoustique, Université Paris 7 and CNRS, ESPCI, 10 rue Vauquelin, 75005 Paris, France. E-mail: arnaud.derode@espci.fr; michael.tanter@espci.fr.
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Published:
January 01, 2008

Abstract

This paper presents an interdisciplinary review of the correlation properties of random wavefields. We expose several important theoretical results of various fields, ranging from time reversal in acoustics to transport theory in condensed matter physics. Using numerical simulations, we introduce the correlation process in an intuitive manner. We establish a fruitful mapping between time reversal and correlation, which enables us to transpose many known results from acoustics to seismology. We show that the multiple-scattering formalism developed in condensed matter physics provides a rigorous basis to analyze the field correlations in disordered media. We discuss extensively the various factors controlling and affecting the retrieval of the Green’s function of a complex medium from the correlation of either noise or coda. Acoustic imaging of complex samples in the laboratory and seismic tomography of geologic structures give a glimpse of the promising wide range of applications of the correlation method.

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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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