1887

Abstract

Summary

It is considered the inverse problem for Goupillaud layered-earth model. The problem of finding the reflection coefficients from the reflection seismogram is the inverse problem of the model. It is shown how could be solved the inverse (scattering) problem of the model by two linear discret equations (Krein equation for free-surface seismogram and Marchenko equation for non-free-surface seismogram). Afterwards it is described a direct dynamic deconvolution procedure for solving the inversion of reflection seismogram. It is shown that this procedure is more efficient than solving the inverse problems by linear discrete equations. Though the inverse dynamic deconvolution procedure is an old algorithm, it could be useful today for solving inverse scattering problems arising in various fields because it is very simple from computational point of view.

Loading

Article metrics loading...

/content/papers/10.3997/2214-4609.201700668
2017-06-12
2024-04-26
Loading full text...

Full text loading...

References

  1. Bardan, V.
    [1977] Comments on dynamic predictive deconvolution. Geophysical Prospecting, 25, 569–572.
    [Google Scholar]
  2. Gelfand, I.M. and Levitan, B.M.
    [1955]. On the determination of a differential equation by its spectral function. Amer. Math. Soc. 1, 253–304.
    [Google Scholar]
  3. Goupillaud, P.
    [1961]. An approach to inverse filtering of near surface layer effects from seismic records. Geophysics, 26, 754–760.
    [Google Scholar]
  4. Levinson, N.
    [1947]. The Wiener RMS error criterion in filter design and prediction. J. Math. Phys., 25, 261–278.
    [Google Scholar]
  5. Robinson, E. A.
    [1975]. Dynamic predictive deconvolution. Geophysical Prospecting, 23, 779–797.
    [Google Scholar]
  6. [1967]. Multichannel Time Series Analysis with Digital Computer Programs. San Francisco, Holden Day, (Revised edition, [1978]).
    [Google Scholar]
  7. [1982]. Spectral approach to geophysical inversion by Lorentz, Fourier and Radon transforms. Proc. IEEE, 70, 1039–1054.
    [Google Scholar]
http://instance.metastore.ingenta.com/content/papers/10.3997/2214-4609.201700668
Loading
/content/papers/10.3997/2214-4609.201700668
Loading

Data & Media loading...

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