1887
Volume 34 Number 8
  • E-ISSN: 1365-2478

Abstract

ABSTRACT

The one‐dimensional seismic inverse problem consists of recovering the acoustic impedance (or reflectivity function) as a function of traveltime from the reflection response of a horizontally layered medium excited by a plane‐wave impulsive source. Most seismic sources behave like point sources, and the data must be corrected for geometrical spreading before the inversion procedure is applied. This correction is usually not exact because the geometrical spreading is different for primary and multiple reflections.

An improved algorithm is proposed which takes the geometrical spreading from a point source into account. The zero‐offset reflection response from a stack of homogeneous layers of variable thickness is used to compute the thickness, velocity and density of each layer. This is possible because the geometrical spreading contains additional information about the velocities.

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2006-04-27
2024-04-26
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References

  1. Arntsen, B. and Ursin, B.1985. Stable inversion of zero‐offset seismic data. 46th Meeting of the European Association of Exploration Geophysicists, Budapest, Technical Program and Abstracts, 135.
  2. Bamberger, A., Chavent, G., Hemon, Ch. and Lailly, P.1982. Inversion of normal incidence seismograms, Geophysics47, 757–770.
    [Google Scholar]
  3. Bamberger, A., Chavent, G. and Lailly, P.1979. About the stability of the inverse problem in 1‐D wave equations–Application to the interpretation of seismic profiles, Applied Mathematics and Optimization5, 1–47.
    [Google Scholar]
  4. Bube, K.P. and Burridge, R.1983. The one‐dimensional inverse problem of reflection seismology, SIAM Review25, 497–559.
    [Google Scholar]
  5. ČERVENý, V. and Hron, F.1980. The ray‐series method and dynamic ray‐tracing system for three‐dimensional inhomogeneous media, Bulletin of the Seismological Society of America70, 47–77.
    [Google Scholar]
  6. Cooke, D.A. and Schneider, W.A.1983. Generalized linear inversion of reflection seismic data, Geophysics48, 665–676.
    [Google Scholar]
  7. Lahlou, M., Cohen, J.K. and Bleistein, N.1983. Highly accurate inversion methods for three‐dimensional stratified media, SIAM Journal of Applied Mathematics43, 726–758.
    [Google Scholar]
  8. Ursin, B. and Arntsen, B.1985. Computation of zero‐offset vertical seismic profiles including geometrical spreading and absorption, Geophysical Prospecting33, 72–96.
    [Google Scholar]
  9. Ursin, B. and Berteussen, K.‐A.1986. Comparison of some inverse methods for wave propagation in layered media, Proceedings of the IEEE74, 389–400.
    [Google Scholar]
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  • Article Type: Research Article

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