1887
  1. Home
  2. A-Z Publications
  3. Geophysical Prospecting
  4. Volume 61, Issue 6
  5. Article
Volume 61 Number 6
  • E-ISSN: 1365-2478

Abstract

ABSTRACT

We develop a new ray‐tracing method, namely, band‐limited ray tracing, which aims to overcome some of the limitations of standard high‐frequency ray tracing in complex velocity models that contain complex interfaces. Band‐limited ray tracing is based on the Kirchhoff integral representation of the transmitted wavefield. In our discussion we consider the Kirchhoff integral for the acoustic wave equation, however, our method can be extended to the Kirchhoff integral for the elastic wave equation. When compared to finite‐difference wave propagation, the new method captures the wave kinematics more accurately than conventional ray tracing while staying within the ray‐tracing framework, without requiring processing or alteration to the original model. We present the theory of band‐limited ray tracing and demonstrate its capability. We compare the Kirchhoff migration examples obtained using conventional ray‐tracing and band‐limited ray‐tracing methods. Our synthetic example demonstrates that band‐limited ray tracing provides better results than conventional ray tracing, especially in estimating wavefronts. In the case of the real data example, the results are comparable to each other while presenting different focusing characteristics. The different focusing characteristics indicate the necessity of performing a full model building workflow for an extended evaluation on real data application.

Copyright © 2013 European Association of Geoscientists & Engineers © 2013 European Association of Geoscientists & Engineers
Loading

Article metrics loading...

/content/journals/10.1111/1365-2478.12055
2013-08-19
2024-04-16

  • From This Site

    /content/journals/10.1111/1365-2478.12055
    dcterms_title,dcterms_subject,pub_keyword
    -contentType:Journal -contentType:Contributor -contentType:Concept -contentType:Institution
    10
    5
Loading full text...

Full text loading...

References

  1. AkiK. and RichardsP.G.1980. Quantitative seismology. Second edition. University Science Books, Sausalito, CA.
     [Google Scholar]
  2. BakerBB. and CopsonE.T.1987. The mathematical theory of Huygens’ principle. AMS Chelsea Publishing.
     [Google Scholar]
  3. BiondiB.1992. Solving the frequency dependent eikonal equation. 72 nd Annual International Meeting, SEG, Expanded Abstracts, vol. 11, p. 1315–1319.
     [Google Scholar]
  4. BleisteinN., CohenJ.K. and StockwellJ.W.2000. The mathematics of multidimensional seismic inversion. Springer, New York.
     [Google Scholar]
  5. BubeK.P. and WashbourneJ.2008. Wave tracing: Ray tracing for the propagation of band‐limited signals: Part 1 theory. Geophysics, 73, VE377VE384.
     [Google Scholar]
  6. CervenyV.2001. Seismic Ray Theory. Cambridge University Press.
     [Google Scholar]
  7. CervenyV. and SoaresJ.E.P.1992. Fresnel volume ray tracing. Geophysics, 57 (7), 902–915.
     [Google Scholar]
  8. ChapmanC.H.2004. Fundamentals of seismic wave propagation. Cambridge University Press.
     [Google Scholar]
  9. DahlenF.A., HungS.H. and NoletG.2000. Fréchet kernels for finite‐frequency travel times ‐ i. Theory. Geophysical Journal International, 141, 157–174.
     [Google Scholar]
  10. ForemanT.L.1987. A frequency dependent ray theory. PhD thesis, The University of Texas at Austin.
     [Google Scholar]
  11. HobroJ.W.D., NicholsD. and FletcherR. June 2008. Direct representation of complex, high‐contrast velocity features in Kirchhoff PreSDM velocity models. 70th EAGE Conference & Exhibition, Extended Abstracts, p. F030.
  12. HungS.‐H., DahlenF.A. and NoletG.2001. Wavefront healing: a banana‐doughnut perspective. Geophysical Journal International, 146, 289–312.
     [Google Scholar]
  13. KravtsovYu.A. and OrlovYu.I.1990. Geometrical optics of inhomogeneous media. Springer‐Verlag.
     [Google Scholar]
  14. LomaxA.1994. The wavelength‐smoothing method for approximating broad‐band wave propagation through complicated velocity structures. Geophysical Journal International, 117(2), 313–334.
     [Google Scholar]
  15. LomaxA. and SniederR.1996. Estimation of finite‐frequency waveforms through wavelength‐dependent averaging of velocity. Geophysical Journal International, 126(2), 369–381.
     [Google Scholar]
  16. MillerD.A.B.1991. Huygens's wave propagation principle corrected. Optics Letters, 16(18), 1370–1372.
     [Google Scholar]
  17. PhillipsC.L., ParrJ.M. and RiskinE.A2003. Signals, Systems, and Transforms. Prentice Hall, Upper Saddle River, NJ.
     [Google Scholar]
  18. PopovM.M.2002. Ray theory and gaussian beam method for geophysicists. EDUFBA.
     [Google Scholar]
  19. ProtasovM.I., YarmanC.E., NicholsD., OsypovK. and ChengX.2011. Frequency‐dependent ray‐tracing through rugose interfaces. SEG Technical Program Expanded Abstracts, 30, 2992–2996. SEG.
     [Google Scholar]
  20. StankovicG.M. and AlbertinU.1995. Raytracing in topological tetrahedral models. 75 th SEG Technical Program Expanded Abstracts, vol. 14, p. 1247–1250. SEG.
     [Google Scholar]
  21. ČervenýV.2001. Seismic ray theory. Cambridge University Press.
     [Google Scholar]
  22. ČervenýV. and SoaresJ.E.P.1992. Fresnel volume ray tracing. Geophysics, 57(7), 902–915.
     [Google Scholar]
  23. WoodwardM.J.1992. Wave‐equation tomography. Geophysics, 57, 15–26.
     [Google Scholar]
http://instance.metastore.ingenta.com/content/journals/10.1111/1365-2478.12055
Loading
Band‐limited ray tracing
Geophysical Prospecting 61, 1194 (2013); https://doi.org/10.1111/1365-2478.12055
/content/journals/10.1111/1365-2478.12055
/content/journals/10.1111/1365-2478.12055
Loading

Data & Media loading...

  • Article Type: Research Article
Keyword(s): Ray tracing; Wave propagation; Wavepaths

Most Cited This Month Most Cited RSS feed

This is a required field
Please enter a valid email address
Approval was a Success
Invalid data
An Error Occurred
Approval was partially successful, following selected items could not be processed due to error