• DOI:10.1063/1.3544503
• Corpus ID: 40099020

Locating a weak change using diffuse waves: Theoretical approach and inversion procedure

@article{Rossetto2010LocatingAW,
  title={Locating a weak change using diffuse waves: Theoretical approach and inversion procedure},
  author={Vincent Rossetto and Ludovic Margerin and Thomas Plan{\`e}s and 'Eric Larose},
  journal={Journal of Applied Physics},
  year={2010},
  volume={109},
  pages={034903}
}

• V. Rossetto, L. Margerin, +1 author 'Eric Larose
• Published 19 July 2010
• Geology
• Journal of Applied Physics

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.