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An Optimizational Method for Solving the Inverse Dynamic Problem for the Wave Equation in the Class of Vertically Inhomogeneous Media: Numerical Modeling

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Geophysical Data Inversion Methods and Applications

Part of the book series: Theory and Practice of Applied Geophysics ((THPAG))

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Abstract

The inverse dynamic problem for the wave equation in the class of vertically inhomogeneous media is considered in this paper. It is required to determine the unknown wave propagation velocity c(z). Solution of this problem is sought for as the minimum point of the data misfit functional. Stability of the minimum point is analyzed depending on the initial approximation and ranges of spatial and time frequencies. The results of numerical experiments for two models are given.

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References

  • Kolb,P., Collino,F., Lailly,P., 1986: Prestack inversion of a 1-D medium. Proc. IEEE,. 74 (4).

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  • Fatianov, A. G., Mikhailenko,B. G., 1984: Non-stationary seismic wave fields in non-homogeneous viscous-elastic media models. In: Matematicheskie problemy geofiziki, Novosibirsk, 64–81.

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Authors and Affiliations

  1. Computing Center, Siberian Division, USSR Academy of Sciences, Novosibirsk, 630090, USSR

    A. V. Avdeev

Authors
  1. A. V. Avdeev
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Editor information

Andreas Vogel Charles O. Ofoegbu Rudolf Gorenflo Bjorn Ursin

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© 1990 Friedr. Vieweg & Sohn Verlagsgesellschaft mbH, Braunschweig

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Avdeev, A.V. (1990). An Optimizational Method for Solving the Inverse Dynamic Problem for the Wave Equation in the Class of Vertically Inhomogeneous Media: Numerical Modeling. In: Vogel, A., Ofoegbu, C.O., Gorenflo, R., Ursin, B. (eds) Geophysical Data Inversion Methods and Applications. Theory and Practice of Applied Geophysics. Vieweg+Teubner Verlag, Wiesbaden. https://doi.org/10.1007/978-3-322-89416-8_27

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  • DOI: https://doi.org/10.1007/978-3-322-89416-8_27

  • Publisher Name: Vieweg+Teubner Verlag, Wiesbaden

  • Print ISBN: 978-3-528-06396-2

  • Online ISBN: 978-3-322-89416-8

  • eBook Packages: Springer Book Archive

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