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Algorithm for Calculation of Seismic Wave Field Propagation in the Medium with Curvilinear Free Surface

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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 paper proposes a modified spectral-difference algorithm applicable for calculation of seismic wave fields in the media with curvilinear free surface. The spectral-difference algorithm was suggested in Mikhailenko (1978, 1979). This approach is discussed in detail in Mikhailenko (1988). In this paper, based on the inversion formulas obtained for the finite integral transformations from one curvilinear boundary to another, the spectral-difference algorithm is generalized to seismic problems with curvilinear free surface. Numerical implementation of the algorithm is given for 2-D and axially symmetric problems of the wave propagation theory.

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References

  1. Mikhailenko, B.G.,1979: Calculation of theoretical seismograms for multidimensional media. Ins Uslovno-korrektnye zadachi matematicheskoi fiziki v interpretacii geofizicheskih nabliudenii, Novosibirsk, 75–88.

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  2. Mikhailenko, B.G., 1979: Method for solving dynamic seismic problems for 2-D inhomogeneous media models. Dokl. Akad.Nauk SSSR, 246, 1, 47–51.

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  3. Mikhailenko, B.G.,1988s Seismic fields in complex sub-surface geometries (Atlas of Snapshots and Synthetic Seismograms). Academy of Sciences, Siberian Division, Computing Center, Novosibirsk.

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  4. Snedon, I., 1955s Fourier transforms. Moscow.

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Authors and Affiliations

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

    B. G. Mikhailenko & N. N. Sergeev-Al’bov

Authors
  1. B. G. Mikhailenko
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  2. N. N. Sergeev-Al’bov
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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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Mikhailenko, B.G., Sergeev-Al’bov, N.N. (1990). Algorithm for Calculation of Seismic Wave Field Propagation in the Medium with Curvilinear Free Surface. 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_32

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  • DOI: https://doi.org/10.1007/978-3-322-89416-8_32

  • 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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