1887
  1. Home
  2. A-Z Publications
  3. Geophysical Prospecting
  4. Volume 37, Issue 8
  5. Article
Volume 37 Number 8
  • E-ISSN: 1365-2478

Abstract

ABSTRACT

This paper presents results of testing an efficient ray generation scheme needed whenever ray synthetic seismograms are to be computed for layered models with more than 10‘ thick’layers. Our ray generation algorithm is based on the concept of kinematically equivalent waves (the kinematic analogs) having identical traveltimes along different ray‐paths between the source and the receiver, both located on the surface of the model. These waves, existing in any medium composed of laterally homogeneous parallel layers, interfere at any location along the recording surface, thereby producing a composite wavelet whose amplitude and shape depend directly on the number of kinematic analogs (the multiplicity factor). Hence, explicit knowledge of the multiplicity factor is crucial for any analysis based on the amplitude and shape of individual wavelets, such as wavelet shaping, estimation, or linearized wavelet inversion.

For unconverted waves, such as those discussed in this paper, the multiplicity factor can be computed analytically using formulae given in the Appendix; for converted waves, the multiplicity factor should be computed numerically, using the algorithm employed for the computation of the seismograms presented in a previous paper by one of the authors.

Loading

Article metrics loading...

/content/journals/10.1111/j.1365-2478.1989.tb02240.x
2006-04-27
2024-04-24

  • From This Site

    /content/journals/10.1111/j.1365-2478.1989.tb02240.x
    dcterms_title,dcterms_subject,pub_keyword
    -contentType:Journal -contentType:Contributor -contentType:Concept -contentType:Institution
    10
    5
Loading full text...

Full text loading...

References

  1. Arntsen, B.1988. Numerical ray generation in the computation of synthetic vertical seismic profiles. Geophysical Prospecting36, 478–503.
    [Google Scholar]
  2. Choi, A.P. and Hron, F.1981. Amplitude and phase shift due to caustics. Bulletin of the Seismological Society of America71, 1445–1461.
    [Google Scholar]
  3. Cisternas, A., Betancourt, O. and Leiva, A.1973. Body waves in a real Earth: Part I. Bulletin of the Seismological Society of America63, 145–156.
    [Google Scholar]
  4. Daley, P.F. and Hron, F.1982. Ray‐reflectivity method for SH waves in stacks of thin and thick layers. Geophysical Journal of the Royal Astronomical Society69, 527–536.
    [Google Scholar]
  5. Daley, P.F. and Hron, F.1983. High‐frequency approximation to the nongeometrical S* arrival. Bulletin of the Seismological Society of America73, 109–123.
    [Google Scholar]
  6. Hron, F.1971. Criteria for selection of phases in synthetic seismograms for layered media. Bulletin of the Seismological Society of America61, 765–779.
    [Google Scholar]
  7. Hron, F.1972. Numerical methods of ray generation in multi‐layered media. In: Methods of Computational Physics12, B.Adler , S.Fernbach , and B.A.. Bolt (eds). Academic Press Inc..
    [Google Scholar]
  8. Hron, F. and Covey, J.D.1983. Wavefront divergence, multiples and converted waves in synthetic seismograms. Geophysical Prospecting31, 436–456.
    [Google Scholar]
  9. Hron, F. and Kanasewich, E.R.1971. Synthetic seismograms for deep seismic sounding studies using Asymptotic Ray Theory. Bulletin of the Seismological Society of America61, 1169–1200.
    [Google Scholar]
  10. Hron, F., Kanasewich, E.R. and Alpaslan, T.1974. Partial ray expansion required to suitably approximate the exact wave solution. Geophysical Journal of the Royal Astronomical Society36, 607–625.
    [Google Scholar]
  11. Hron, F., May, B.T., Covey, J.D. and Daley, P.F.1986. Synthetic seismic sections for acoustic, elastic, anisotropic and vertically inhomogeneous layered media. Geophysics51, 710–735.
    [Google Scholar]
  12. Kennett, B.L.N.1983. Seismic Wave Propagation in Stratified Media. Cambridge University Press.
    [Google Scholar]
  13. Marks, L.W. and Hron, F.1977. Weber function computation in the interference reflected‐head wave amplitude. Geophysical Research Letters4, 255–258.
    [Google Scholar]
  14. Neidell, N.S.1972. Deterministic deconvolution operators ‐ 3 point or 4 point?Geophysics37, 1039–1042.
    [Google Scholar]
  15. Pekeris, C.C.1948. Theory of propagation of explosive sound in shallow water. Geological Society of America Memoir No. 27.
    [Google Scholar]
  16. Shahriar, M., Hron, F. and Cumming, G.L.1987. Linearized inversion of seismic amplitude data. Journal of the Canadian Society of Exploration Geophysicists23, 56–65.
    [Google Scholar]
  17. Spencer, T.W.1965. Long‐time response predicted by exact elastic theory. Geophysics25, 363–368.
    [Google Scholar]
  18. Tarantola, A.1984. Inversion of seismic reflection data in the acoustic approximation. Geophysics49, 1259–1266.
    [Google Scholar]
  19. Tarantola, A. and Valette, B.1982. Generalized nonlinear inverse problems solved using the least‐squares criterion. Reviews of Geophysics and Space Physics20, 219–232.
    [Google Scholar]
http://instance.metastore.ingenta.com/content/journals/10.1111/j.1365-2478.1989.tb02240.x
Loading
  • Article Type: Research Article

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