1887

Abstract

Summary

A whole-space Green’s function framework for the representation of the acoustic wavefield is obtained from the Helmholtz wave equation. Under this framework, the wavefield is represented by a distribution of point-sources in space and time, each corresponding to an elementary spherical wavefront.

Intuition suggests the number of equivalent point sources actually required to represent the wavefield of interest might be small compared to the total number of speculative locations. Consequently, in spite of the problem’s innate ill conditioned nature, a satisfying solution can still be obtained by means of sparsity promotion. When a solution is reached, the wavefield can be reconstructed at new or existing locations by utilizing the framework in a forward modelling sense.

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/content/papers/10.3997/2214-4609.201700487
2017-06-12
2024-03-28
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References

  1. Artman, B., Podladtchikov, I., and Witten, B.
    [2010] Source location using time-reverse imaging. Geophysical Journal International, 58, 861–873.
    [Google Scholar]
  2. Chambers, K., Kendall, J.M., Brandsberg-Dahl, S., and Rueda, J.
    [2009] Testing the ability of surface arrays to monitor microseismic activity. Geophysical Prospecting, 58, 821–830.
    [Google Scholar]
  3. McMechan, G.A.
    , [1982] Determination of source parameters by wavefield extrapolation. Geophys. J. R. astr. SOC. 71, 613–628.
    [Google Scholar]
  4. Weglein, A.B., Boyse, W.E., and Anderson, J.E.
    [1981] Obtaining 3-dimensional velocity information directly from reflection seismic data: An inverse scattering formalism. Geophysics46 (8), P1116–1120.
    [Google Scholar]
  5. Weglein, A. B., Araújo, F. V., Carvalho, P. M., Stolt, R. H., Matson, K. H., Coates, R. T., Corrigan, D., Foster, D. J., Shaw, S. A., and Zhang, H.
    [2003] Inverse scattering series and seismic exploration. Inverse Problems, 19(6), R27–R83.
    [Google Scholar]
  6. Vera Rodriguez, I., Sacchi, M.D., and Gu, Y.J
    . [2012] A compressive sensing framework for seismic source parameter estimation. Geophysical Journal International, 191, 1226–1236.
    [Google Scholar]
  7. Vera Rodriguez, I., and Sacchi, M.D.
    [2014] Microseismic source imaging in a compressed domain. Geophysical Journal International, 191, 1226–1236.
    [Google Scholar]
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