1887
Volume 60 Number 1
  • E-ISSN: 1365-2478

Abstract

ABSTRACT

Time reversal mirrors can be used to backpropagate and refocus incident wavefields to their actual source location, with the subsequent benefits of imaging with high‐resolution and super‐stacking properties. These benefits of time reversal mirrors have been previously verified with computer simulations and laboratory experiments but not with exploration‐scale seismic data. We now demonstrate the high‐resolution and the super‐stacking properties in locating seismic sources with field seismic data that include multiple scattering. Tests on both synthetic data and field data show that a time reversal mirror has the potential to exceed the Rayleigh resolution limit by factors of 4 or more. Results also show that a time reversal mirror has a significant resilience to strong Gaussian noise and that accurate imaging of source locations from passive seismic data can be accomplished with traces having signal‐to‐noise ratios as low as 0.001. Synthetic tests also demonstrate that time reversal mirrors can sometimes enhance the signal by a factor proportional to the square root of the product of the number of traces, denoted as and the number of events in the traces. This enhancement property is denoted as super‐stacking and greatly exceeds the classical signal‐to‐noise enhancement factor of . High‐resolution and super‐stacking are properties also enjoyed by seismic interferometry and reverse‐time migration with the exact velocity model.

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2011-07-08
2024-04-19
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References

  1. CaoW., FeiT.W., LuoY., AlfarajM.N., SchusterG.T. and BoonyasiriwatC.2008. Estimation of hydrofracture source location with time reversal mirrors. 78th SEG meeting, Las Vegas , Nevada , USA , Expanded Abstracts, 1421–1424.
  2. DerodeA., RouxP. and FinkM.1995. Robust acoustic time reversal with high‐order multiple scattering. Physics Review Letters75, 4206–4209.
    [Google Scholar]
  3. FinkM.1993. Time‐reversal mirrors. Journal of Physics D, Applied Physics26, 1333–1350.
    [Google Scholar]
  4. FinkM.1997. Time‐reversal acoustics. Physics Today50, 34–40.
    [Google Scholar]
  5. FinkM.2006. Time‐reversal acoustics in complex environments. Geophysics71, SI151–SI164.
    [Google Scholar]
  6. FinkM.2008. Time reversal waves and super resolution. Journal of Physics124. doi:10.1088/1742‐6596/124/012004
    [Google Scholar]
  7. GajewskiD. and TessmerE.2005. Reverse modeling for seismic event characterization. Geophysical Journal International163, 276–284.
    [Google Scholar]
  8. HanafyS.M., CaoW., McCarterK. and SchusterG.T.2009. Using super‐stacking and super‐resolution properties of time‐reversal mirrors to locate trapped miners. The Leading Edge28, 302–307.
    [Google Scholar]
  9. LeroseyG., de RosnyJ., TourinA. and FinkM.2007. Focusing beyond the diffraction limit with far‐field time reversal. Science315, 1120–1122.
    [Google Scholar]
  10. McMechanG.A.1982. Determination of source parameters by wavefield extrapolation. Geophysical Journal of the Royal Astronomical Society71, 613–628.
    [Google Scholar]
  11. McMechanG.A., LuetgertJ.H. and MooneyW.1983. Imaging of earthquake sources in Long Valley Caldera, California. Bulletin of the Seismological Society of America75, 1005–1020.
    [Google Scholar]
  12. NemethT., WuC. and SchusterG.T.1999. Least‐squares migration of incomplete reflection data. Geophysics64, 208–221.
    [Google Scholar]
  13. RouxP. and FinkM.2000. Time reversal in a waveguide: Study of the temporal and spatial focusing. Journal of the Acoustical Society of America107, 2418–2429.
    [Google Scholar]
  14. ScalesJ.A. and SniederR.1997. Humility and nonlinearity. Geophysics62, 1355–1358.
    [Google Scholar]
  15. SchusterG.T.2002. Reverse‐time migration = Generalized diffraction stack migration. 72nd SEG meeting, Salt Lake City , Utah , USA , Expanded Abstracts, 1280–1283.
  16. SchusterG.T.2009. Seismic Interferometry . Cambridge University Press.
    [Google Scholar]
  17. SniederR. and ScalesJ.A.1998. Time‐reversed imaging as a diagnostic of wave and particle chaos. Physics Review E58, 5668–5675.
    [Google Scholar]
  18. ThurberC. and RabinowitzN.2000. Advances in Seismic Event Location . Kluwer Academic Publishers.
    [Google Scholar]
  19. VigoureuxJ.M., DepasseF. and GirardC.1992. Superresolution of near‐field optical microscopy defined from properties of confined electromagnetic waves. Applied Optics31, 3036‐3045, doi:10.1364/AO.31.003036
    [Google Scholar]
  20. VlastosS., LiuE., MainI.G. and LiX.Y.2003. Numerical simulation of wave propagation in media with discrete distributions of fractures: effects of fracture sizes and spatial distributions. Geophysical Journal International152, 649–668.
    [Google Scholar]
  21. VlastosS., LiuE., MainI.G. and NarteauC.2007. Numerical simulation of wave propagation in fractured media: scattering attenuation at different stages of the growth of a fracture population. Geophysical Journal International171, 865–880.
    [Google Scholar]
  22. WaldhauserF. and EllsworthW.2000. A double‐difference earthquake location algorithm: method and application to the northern Hayward fault, California. Bulletin of the Seismological Society of America90, 1353–1368.
    [Google Scholar]
  23. ZhangX. and LiuZ.2008. Superlenses to overcome the diffraction limit. Nature Materials7, 435–441.
    [Google Scholar]
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  • Article Type: Research Article
Keyword(s): Mining; Passive method; Time reversal mirrors

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