Source point discovery through high frequency asymptotic time reversal

  • Authors:

  • Jean-David Benamou;Francis Collino;Simon Marmorat

  • Affiliations:

  • INRIA, B.P. 105, 78153 Le Chesnay Cédex, France;CERFACS, 42 Avenue Gaspard Coriolis, 31100 Toulouse, France;INRIA, B.P. 105, 78153 Le Chesnay Cédex, France

  • Venue:
  • Journal of Computational Physics
  • Year:
  • 2012

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Abstract

Given local frequency domain wave data, the Numerical Micro-Local Analysis (NMLA) method (Benamou et al., 2004) [5] and its recent improved version (Benamou et al., 2011) [4] gives a pointwise numerical approximation of the number of rays, their slowness vectors and corresponding wavefront curvatures. With time domain wave data and assuming the source wavelet is given, the method also estimates the travel-time. The paper provides a non technical presentation of the improved NMLA algorithm and presents a numerical application which can be interpreted as a high frequency asymptotic version of the classical time reversal method (Borcea et al., 2003) [7]. A detailed technical presentation of the algorithm is available in Benamou et al. (2011) [4] and more numerical experiments can be found in Collino and Marmorat (2011) [15].