Time-reversal algorithms in viscoelastic media

In this paper we consider the problem of reconstructing sources in a homogeneous viscoelastic medium from wavefield measurements. We first present a modified time-reversal imaging algorithm based on a weighted Helmholtz decomposition and justify mathematically that it provides a better approximation...

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Veröffentlicht in:European journal of applied mathematics 2013-08, Vol.24 (4), p.565-600
Hauptverfasser: AMMARI, HABIB, BRETIN, ELIE, GARNIER, JOSSELIN, WAHAB, ABDUL
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Sprache:eng
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Zusammenfassung:In this paper we consider the problem of reconstructing sources in a homogeneous viscoelastic medium from wavefield measurements. We first present a modified time-reversal imaging algorithm based on a weighted Helmholtz decomposition and justify mathematically that it provides a better approximation than by simply time reversing the displacement field, where artifacts appear due to the coupling between the pressure and shear waves. Then we investigate the source inverse problem in an elastic attenuating medium. We provide a regularized time-reversal imaging which corrects the attenuation effect at the first order. The results of this paper yield the fundamental tools for solving imaging problems in elastic media using cross-correlation techniques.
ISSN:0956-7925
1469-4425
DOI:10.1017/S0956792513000107