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

Abstract

A

Parameters in a stack of homogeneous anelastic layers are estimated from seismic data, using the amplitude versus offset (AVO) variations and the travel‐times. The unknown parameters in each layer are the layer thickness, the P‐wave velocity, the S‐wave velocity, the density and the quality factor.

Dynamic ray tracing is used to solve the forward problem. Multiple reflections are included, but wave‐mode conversions are not considered. The S‐wave velocities are estimated from the PP reflection and transmission coefficients. The inverse problem is solved using a stabilized least‐squares procedure. The Gauss‐Newton approximation to the Hessian matrix is used, and the derivatives of the dynamic ray‐tracing equation are calculated analytically for each iteration.

A conventional velocity analysis, the common mid‐point (CMP) stack and a set of CMP gathers are used to identify the number of layers and to establish initial estimates for the P‐wave velocities and the layer thicknesses. The inversion is carried out globally for all parameters simultaneously or by a stepwise approach where a smaller number of parameters is considered in each step.

We discuss several practical problems related to inversion of real data. The performance of the algorithm is tested on one synthetic and two real data sets. For the real data inversion, we explained up to 90% of the energy in the data. However, the reliability of the parameter estimates must at this stage be considered as uncertain.

Loading

Article metrics loading...

/content/journals/10.1111/j.1365-2478.1992.tb00374.x
2006-04-27
2024-04-19

  • From This Site

    /content/journals/10.1111/j.1365-2478.1992.tb00374.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. Castagna, J.P., Batzle, M.L. and Eastwood, R.L.1985. Relationships between compressional‐wave and shear‐wave velocity in clastic silicate rocks. Geophysics50, 571–581.
    [Google Scholar]
  2. ČErvený, V., Molotkov, A. and Pšenčik, I.1977. Ray Method in Seismology. Charles University, Praha
    [Google Scholar]
  3. Crase, E., Pica, A., Noble, M., McDonald, J. and Tarantola, A.1990. Robust elastic nonlinear waveform inversion: application to real data. Geophysics55, 527–538.
    [Google Scholar]
  4. Dahl, T. and Ursin, B.1991. Parameter estimation in a one‐dimensional anelastic medium. Journal of Geophysical Research November.
  5. Dix, C.H.1955. Seismic velocities from surface measurements. Geophysics20, 68–86.
    [Google Scholar]
  6. Gardner, G.H.F., Gardner, L.W. and Gregory, A.R.1974. Formation velocity and density‐the diagnostic basics for stratigraphic traps. Geophysics39, 770–780.
    [Google Scholar]
  7. Helgesen, J. and Kolb, P.1989. Inversion of 1‐D acoustic medium from real seismic data. 59th seg meeting, Dallas, Expanded Abstracts, 1000–1003.
  8. Koster, J.K., Ziolkowski, A.M., Fokkema, J.T., Tatalovic, R. and Baeten, G.J.M.1990. One‐pass inversion of marine seismic data for interval velocities and densities, eaeg/seg research workshop on estimation and practical use of seismic velocities, Cambridge, Expanded Abstracts, 95–98.
  9. Menke, W.1989. Geophysical Data Analysis: Discrete Inverse Theory. Academic Press Inc.
    [Google Scholar]
  10. Mora, P.1985. Elastic inversion using ray theory. Technical Report 41, Stanford Exploration Project, Stanford University, Stanford, California.
  11. Ostrander, W.J.1984. Plane‐wave reflection coefficients for gas sands at nonnormal angles of incidence. Geophysics49, 1637–1648.
    [Google Scholar]
  12. Smith, G.C. and Gidlow, P.M.1987. Weighted stacking for rock property estimation and detection of gas. Geophysical Prospecting35, 993–1014.
    [Google Scholar]
  13. Ursin, B. and Dahl, T.1990. Least‐squares estimation of reflectivity polynomials. 60th SEG meeting, San Francisco, Expanded Abstracts, 1069–1071.
  14. Ursin, B. and Dahl, T.1992. Seismic reflection amplitudes. Geophysical Prospecting40, in press.
    [Google Scholar]
http://instance.metastore.ingenta.com/content/journals/10.1111/j.1365-2478.1992.tb00374.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