Coda reconstruction from cross-correlation of a diffuse field on thin elastic plates

Aida Hejazi Nooghabi, Lapo Boschi, Philippe Roux, and Julien de Rosny
Phys. Rev. E 96, 032137 – Published 25 September 2017
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Abstract

This study contributes to the evaluation of the robustness and accuracy of Green's function reconstruction from cross-correlation of strongly dispersed reverberated signals, with disentangling of the respective roles of ballistic and reverberated (“coda”) contributions. We conduct a suite of experiments on a highly reverberating thin duralumin plate, where an approximately diffuse flexural wave field is generated by taking advantage of the plate reverberation and wave dispersion. A large number of impulsive sources that cover the whole surface of the plate are used to validate ambient-noise theory through comparison of the causal and anticausal (i.e., positive- and negative-time) terms of the cross-correlation to one another and to the directly measured Green's function. To quantify the contribution of the ballistic and coda signals, the cross-correlation integral is defined over different time windows of variable length, and the accuracy of the reconstructed Green's function is studied as a function of the initial and end times of the integral. We show that even cross-correlations measured over limited time windows converge to a significant part of the Green's function. Convergence is achieved over a wide time window, which includes not only direct flexural-wave arrivals, but also the multiply reverberated coda. We propose a model, based on normal-mode analysis, that relates the similarity between the cross-correlation and the Green's function to the statistical properties of the plate. We also determine quantitatively how incoherent noise degrades the estimation of the Green's function.

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  • Received 21 April 2017

DOI:https://doi.org/10.1103/PhysRevE.96.032137

©2017 American Physical Society

Physics Subject Headings (PhySH)

  1. Research Areas
Statistical Physics & Thermodynamics

Authors & Affiliations

Aida Hejazi Nooghabi1,2, Lapo Boschi1,3, Philippe Roux4, and Julien de Rosny2

  • 1Sorbonne Universités, UPMC Univ Paris 06, CNRS, UMR 7193, Institut des Sciences de la Terre de Paris (ISTeP), F-75005 Paris, France
  • 2ESPCI Paris, PSL Research University, Institut Langevin, F-75005 Paris, France
  • 3Sorbonne Universités, UPMC Univ Paris 06, CNRS, UMR 7190, Institut Jean Le Rond d'Alembert, équipe LAM, F-75005 Paris, France
  • 4Laboratoire ISTERRE, Université Grenoble Alpes, CNRS, F-38000 Grenoble, France

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Issue

Vol. 96, Iss. 3 — September 2017

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