1887
  1. Home
  2. A-Z Publications
  3. Geophysical Prospecting
  4. Volume 40, Issue 1
  5. Article
Volume 40 Number 1
  • E-ISSN: 1365-2478

Abstract

A

The generalized Radon transform (GRT) inversion contains an explicit relationship between seismic amplitude variations, the reflection angle and the physical parameters which can be used to describe the earth efficiently for inversion purposes. Using this relationship, we have derived parametrizations for acoustic and P–P scattering so that the variations in seismic amplitude with reflection angle for each parameter are sufficiently independent. These parametrizations show that small offset and large offset amplitudes are related to different physical parameters. In the case of acoustic scattering, the small‐offset amplitudes are related to impedance variations while large‐offset amplitudes are related to velocity variations. A similar result has been established for P–P scattering.

The Born approximation (which is used to derive the GRT inversion) does not correctly predict the amplitude due to velocity variations at large offsets, and thus the inversion of velocity is not as satisfactory as the inversion of impedance.

Loading

Article metrics loading...

/content/journals/10.1111/j.1365-2478.1992.tb00364.x
2006-04-27
2024-04-26

  • From This Site

    /content/journals/10.1111/j.1365-2478.1992.tb00364.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. Beylkin, G.1985. The inversion problem and applications of the generalized Radon transform. Communications on Pure and Applied Mathematics37, 579–599.
    [Google Scholar]
  2. Beylkin, G. and Burridge, R.1990. Linearized inverse scattering problem of acoustics and elasticity. Wave Motion12, 15–52.
    [Google Scholar]
  3. Bleistein, N.1987. On imaging of reflectors in the earth. Geophysics52, 931–942.
    [Google Scholar]
  4. Clayton, R.W. and Stolt, R.H.1981. A Born‐WKBJ inversion method for acoustic reflection data. Geophysics46, 1559–1567.
    [Google Scholar]
  5. Ikelle, L.T.1989. GRT inversion: practical aspects. 59th SEG meeting, Dallas, Expanded Abstracts, 1009–1012.
  6. Ikelle, L.T., Diet, J.P. and Tarantola, A.1986. Linearized inversion of multioffset seismic reflection data in ω‐k domain. Geophysics51, 1266–1276.
    [Google Scholar]
  7. Ikelle, L.T., Diet, J.P. and Tarantola, A.1988. Linearized inversion of multioffset seismic reflection data in ω‐k domain: Depth‐dependent reference medium. Geophysics53, 50–64.
    [Google Scholar]
  8. Miller, D., Oristaglio, M. and Beylkin, G.1987. A new slant on seismic imaging: migration and integral geometry. Geophysics52, 943–964.
    [Google Scholar]
  9. Sato, H.1984. Attenuation and envelope formation of three‐component seismograms of small local earthquakes in randomly inhomogeneous lithospheres. Journal of Geophysical Research89, 1221–1241.
    [Google Scholar]
  10. Tarantola, A.1984. Linearized inversion of seismic reflection data. Geophysical Prospecting32, 998–1015.
    [Google Scholar]
  11. Tarantola, A.1986a. A strategy for nonlinear elastic inversion of seismic reflection data. Geophysics51, 1893–1903.
    [Google Scholar]
  12. Tarantola, A.1986b. Inverse Problem Theory. Methods for Data Fitting and Model Parameter Estimation. Elsevier Science Publishing Co.
    [Google Scholar]
  13. Wu, R.S. and Aki, K.1985a. Scattering characteristics of elastic waves by an elastic heterogeneity. Geophysics50, 582–595.
    [Google Scholar]
  14. Wu, R.S. and Aki, K.1985b. Elastic wave scattering by a random medium and small scale inhomogeneities in the lithosphere. Journal of Geophysical Research90, 10261–10273.
    [Google Scholar]
  15. Wu, R.S. and Ben‐Menahem, A.1985. The elastodynamic near‐field. Geophysical Journal of the Royal Astronomical Society81, 609–621.
    [Google Scholar]
http://instance.metastore.ingenta.com/content/journals/10.1111/j.1365-2478.1992.tb00364.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