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Journal of Applied Physics 109, 3 (2011) 034903
Locating a weak change using diffuse waves: Theoretical approach and inversion procedure
Vincent Rossetto 1, Ludovic Margerin 2, Thomas Planès 3, Eric Larose 3
(2011-02-03)

We describe a time-resolved monitoring technique for heterogeneous media. Our approach is based on the spatial variations of the cross-coherence of diffuse waves acquired at fixed positions but at different dates. The technique applies to all kind of waves, provided that waveforms can be acquired with a sampling frequency much larger than the wave frequency. To locate and characterize a weak change that occurred between successive acquisitions, we use a maximum likelihood approach combined with a diffusive propagation model. We characterize this technique, locating a weak change using diffuse waves, called LOCADIFF, with the aid of numerical simulations. In several illustrative examples, we show that the change can be located with a precision of a few wavelengths and that its effective scattering cross-section can be retrieved. We investigate how the accuracy and precision of the method depends on the number of source-receiver pairs, on the time window used to compute the cross-correlation and on the errors in the propagation model. Applications can be found in nondestructive testing, seismology, radar, and sonar location.
1:  Laboratoire de physique et modélisation des milieux condensés (LPMMC)
CNRS : UMR5493 – Université Joseph Fourier - Grenoble I
2:  Institut de recherche en astrophysique et planétologie (IRAP)
CNRS : UMR5277 – Université Paul Sabatier [UPS] - Toulouse III – Observatoire Midi-Pyrénées
3:  Institut des sciences de la Terre (ISTerre)
CNRS : UMR5275 – IFSTTAR – Université de Savoie – Université Joseph Fourier - Grenoble I – INSU – OSUG – Institut de recherche pour le développement [IRD] : UR219
Ondes et structures
Physics/Mechanics/Acoustics

Engineering Sciences/Acoustics

Physics/Mechanics/Materials and structures in mechanics

Engineering Sciences/Mechanics/Materials and structures in mechanics

Physics/Physics/General Physics
acoustic wave propagation – maximum likelihood estimation – numerical analysis
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