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Volume 56, Issue 3
  • E-ISSN: 1365-2478

Abstract

ABSTRACT

Progress in the imaging of the mantle and core is partially limited by the sparse distribution of natural sources; the earthquake hypocenters are mainly along the active lithospheric plate boundaries. This problem can be approached with seismic interferometry. In recent years, there has been considerable progress in the development of seismic interferometric techniques. The term seismic interferometry refers to the principle of generating new seismic responses by cross‐correlating seismic observations at different receiver locations. The application of interferometric techniques on a global scale could create sources at locations where no earthquakes occur. In this way, yet unknown responses would become available for the application of travel‐time tomography and surface‐wave dispersion studies. The retrieval of a dense‐enough sampling of source gathers would largely benefit the application of reflection imaging.

We derive new elastodynamic representation integrals for global‐scale seismic interferometry. The relations are different from other seismic interferometry relations for transient sources, in the sense that they are suited for a rotating closed system like the Earth. We use a correlation of an observed response with a response to which free‐surface multiple elimination has been applied to account for the closed system. Despite the fact that the rotation of the Earth breaks source‐receiver reciprocity, the seismic interferometry relations are shown to be valid. The Coriolis force is included without the need to evaluate an extra term.

We synthesize global‐scale earthquake responses and use them to illustrate the acoustic versions of the new interferometric relations. When the sampling of real source locations is dense enough, then both the responses with and without free‐surface multiples are retrieved. When we do not take into account the responses from the sources in the direct neighborhood of the seismic interferometry‐constructed source location, the response with free‐surface multiples can still be retrieved. Even when only responses from sources at a certain range of epicentral distances are available, some events in the Green's function between two receiver locations can still be retrieved. The retrieved responses are not perfect, but the artefacts can largely be ascribed to numerical errors. The reconstruction of internal events – the response as if there was a source and a receiver on (major) contrasts within the model – could possibly be of use for imaging.

With modelling it is possible to discover in which region of the correlation panel stationary phases occur that contribute to the retrieval of events. This knowledge opens up a new way of filtering out undesired events and of discovering whether specific events could be retrieved with a given source‐receiver configuration.

©2008 European Association of Geoscientists & Engineers
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2008-04-21
2024-04-18

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References

  1. AbeS., KurashimoE., SatoH., HirataN., IwasakiT. and KawanakaT.2007. Interferometric seismic imaging of crustal structure using scattered teleseismic waves. Geophysical Research Letters34, L19305.
    [Google Scholar]
  2. ArtmanB., DraganovD., WapenaarK. and BiondiB.2004. Direct migration of passive seismic data, 66th EAGE meeting, Paris , France , Extended Abstracts, P075.
  3. BakulinA. and CalvertR.2004. Virtual Source: new method for imaging and 4D below complex overburden, 74th SEG meeting, Denver, Colorado , USA , Expanded Abstracts, 2477–2480.
  4. BakulinA., MateevaA., CalvertR., JorgensenP. and Lopez, J.2007. Virtual shear source makes shear waves with air guns. Geophysics72, A7–A11.
    [Google Scholar]
  5. BerkhoutA.J. and VerschuurD.J.1997. Estimation of multiple scattering by iterative inversion, Part I: Theoretical considerations. Geophysics62, 1586–1595.
    [Google Scholar]
  6. CampilloM. and PaulA.2003. Long‐range correlations in the diffuse seismic coda. Science299, 547–549.
    [Google Scholar]
  7. ClaerboutJ.F.1968. Synthesis of a layered medium from its acoustic transmission response. Geophysics33, 264–269.
    [Google Scholar]
  8. DahlenF.A. and TrompJ.1998. Theoretical Global Seismology . Princeton University Press, Princeton , New Jersey .
    [Google Scholar]
  9. De HoopA.T.1988. Time‐domain reciprocity theorems for acoustic wave fields in fluids with relaxation. Journal of the Acoustic Society of America84, 1877–1882.
    [Google Scholar]
  10. DerodeA., LaroseE., TanterM., De RosnyJ., TourinA., CampilloM. and FinkM.2003. Recovering the Green's function from field‐field correlations in an open scattering medium. Journal of the Acoustic Society of America113, 2973–2976.
    [Google Scholar]
  11. DraganovD., WapenaarK., ArtmanB. and BiondiB.2004. Migration methods for passive seismic data. 74th SEG meeting, Denver, Colorado , USA , Expanded Abstracts, ST 1.5.
  12. DraganovD., WapenaarK. and ThorbeckeJ.2004. Passive seismic imaging in the presence of white noise sources. The Leading Edge23, 889–892.
    [Google Scholar]
  13. DraganovD., WapenaarK. and Thorbecke, J.2006. Seismic interferometry: Reconstructing the earth's reflection response. Geophysics71, SI61–SI70.
    [Google Scholar]
  14. DraganovD., WapenaarK., MulderW., SingerJ. and VerdelA.2007. Retrieval of reflections from seismic background‐noise measurements. Geophysical Research Letters34, L04305.
    [Google Scholar]
  15. DziewonskiM. and AndersonD.L.1981. Preliminary reference earth model, Physics of The Earth and Planetary Interiors25, 297–356.
    [Google Scholar]
  16. FanC., PavlisG.L., WegleinA.B. and NitaB.G.2006. Removing free‐surface multiples from teleseismic transmission and constructed reflection responses using reciprocity and the inverse scattering series. Geophysics71, SI71–SI78.
    [Google Scholar]
  17. FokkemaJ.T. and Van Den BergP.M.1993. Seismic Applications of Acoustic Reciprocity . Elsevier.
    [Google Scholar]
  18. GerstoftP., SabraK.G., RouxP., KupermanW.A. and FehlerM.C.2006. Green's functions extraction and surface‐wave tomography from microseisms in Southern California. Geophysics71, S123–S131.
    [Google Scholar]
  19. HallidayD.F., CurtisA., RobertssonJ.O.A. and Van ManenD.J.2007. Interferometric surface‐wave isolation and removal. Geophysics72, A69–A73.
    [Google Scholar]
  20. KnapmeyerM.2004. TTBox: A Matlab toolbox for the computation of 1D teleseismic travel times. Seismological Research Letters75, 726–733.
    [Google Scholar]
  21. KumarM.R. and BostockM.G.2006. Transmission to reflection transformation of teleseismic wavefields. Journal of Geophysical Research111, B08306.
    [Google Scholar]
  22. LevanderA.2003. USArray design implications for wavefield imaging in the lithosphere and upper mantle. The Leading Edge22, 250–255.
    [Google Scholar]
  23. LinesL. R., SlawinskiR. and BordingR.P.1999. A recipe for stability of finite‐difference wave‐equation computations. Geophysics64, 967–969.
    [Google Scholar]
  24. MehtaK., BakulinA., SheimanJ., CalvertR. and SniederR.2007. Improving the virtual source method by wavefield seperation. Geophysics 72 , V79–V86.
    [Google Scholar]
  25. PaoY.H. and VaratharajuluV.1976. Huygens' principle, radiation conditions, and integral formulations for the scattering of elastic waves. Journal of the Acoustic Society of America59, 1361–1371.
    [Google Scholar]
  26. RouxP. and FinkM.1997. Experimental evidence in acoustics of the violation of time reversal invariance induced by vorticity. Europhysics Letters32, 25–29.
    [Google Scholar]
  27. RouxP., SabraK.G., KupermanW.A. and RouxA.2005. Ambient noise cross correlation in free space: Theoretical approach. Journal of the Acoustic Society of America117, 79–84.
    [Google Scholar]
  28. SchusterG.T.2001. Theory of daylight/interferometric imaging: tutorial. 63rd EAGE meeting, Amsterdam , The Netherlands , Extended Abstracts, A‐32.
  29. SchusterG.T., YuJ., ShengJ. and RickettJ.2004. Interferometric/daylight seismic imaging. Geophysical Journal International157, 838–852.
    [Google Scholar]
  30. ShapiroN.M., CampilloM., StehlyL. and RitzwollerM.H.2005. High‐resolution surface wave tomography from ambient seismic noise. Science307, 1615–1618.
    [Google Scholar]
  31. ShiraishiK., OnishiK., ItoS., AizawaT. and MatsuokaT.2006. Seismic interferometry with underground moving source. 68th EAGE meeting, Vienna , Austria , Expanded Abstracts, A043.
  32. ShraggeJ., ArtmanB. and WilsonC.2006. Teleseismic shot‐profile migration. Geophysics71, SI221–SI229.
    [Google Scholar]
  33. SlobE., DraganovD. and WapenaarK.2006. GPR without a source. Proceedings of the Eleventh International Conference on Ground Penetrating Radar , ( Ohio State University , Columbus , OH .
  34. SniederR.2004. Extracting the Green's function from the correlation of coda waves: a derivation based on stationary phase. Physical Review E69, 046610‐1–046610‐8.
    [Google Scholar]
  35. SniederR.2007. Extracting the Green's function of attenuating acoustic media from uncorrelated waves. Journal of the Acoustic Society of America121(5), 2637–2643.
    [Google Scholar]
  36. StorchakD.A., SchweitzerJ. and BormannP.2003. The IASPEI standard seismic phase list. Seismological Research Letters74, 761–772.
    [Google Scholar]
  37. VerschuurD.J. and BerkhoutA.J.1997. Estimation of multiple scattering by iterative inversion, Part II: Practical aspects and examples. Geophysics62, 1596–1611.
    [Google Scholar]
  38. VirieuxJ.1986. P‐SV wave propagation in heterogeneous media: Velocity‐stress finite‐difference method. Geophysics51, 889–901.
    [Google Scholar]
  39. WapenaarK.2006. Nonreciprocal Green's function retrieval by cross correlation. Journal of the Acoustic Society of America120, EL7–EL13.
    [Google Scholar]
  40. WapenaarK. and FokkemaJ.T.2006. Green's functions representations for seismic interferometry. Geophysics71, SI33–SI46.
    [Google Scholar]
  41. WapenaarK., ThorbeckeJ.W., DraganovD. and FokkemaJ.T.2002. Theory of acoustic daylight imaging revisited. 72nd SEG meeting, Salt lake Ciry , Utah , USA , Expanded Abstracts, ST 1.5.
  42. WapenaarK., DraganovD., Van Der NeutJ. and ThorbeckeJ.W.2004. Seismic interferometry: a comparison of approaches. 74th SEG meeting, Denver , Colorado , USA , Expanded Abstracts, ST 1.5.
  43. WeaverR.L. and LobkisO.I.2001. Ultrasonics without a source: thermal fluctuation correlations at MHz frequencies. Physical Review Letters87, 134301‐1–134301‐4.
    [Google Scholar]
  44. YaoH., Van Der HilstR.D. and De HoopM.V.2006. Surface‐wave array tomography in SE Tibet from ambient seismic noise and two‐station analysis: I ‐ phase velocity maps. Geophysical Journal International166, 732–744.
    [Google Scholar]
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Global‐scale seismic interferometry: theory and numerical examples
Geophysical Prospecting 56, 395 (2008); https://doi.org/10.1111/j.1365-2478.2008.00697.x
/content/journals/10.1111/j.1365-2478.2008.00697.x
/content/journals/10.1111/j.1365-2478.2008.00697.x
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