Advertisement

Computational Mathematics and Modeling

, Volume 17, Issue 2, pp 178–190 | Cite as

An algorithm for direct and inverse three-dimensional problems in vertical seismic profiling

  • G. Yu. Mel’nikov
Article
  • 24 Downloads

Abstract

The article discusses the propagation of plane waves in a three-dimensional homogeneous medium with anisotropy. The zeroth approximation solution (the ray solution) is considered. Algorithms are proposed for solving the direct dynamic VSP problem and for projecting the wave field on the model medium by multiple solution of the direct problem. Simulation results and calculations with real data are reported.

Keywords

Mathematical Modeling Computational Mathematic Plane Wave Real Data Industrial Mathematic 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. 1.
    E. I. Gal’perin, Vertical Seismic Profiling [in Russian], Nedra, Moscow (1971).Google Scholar
  2. 2.
    E. I. Gal’perin, “Vertical seismic profiling during prospecting and mining,” Dokl. Akad. Nauk SSSR, 253, No. 6, 1347–1349 (1980).Google Scholar
  3. 3.
    V. A. Emelichev, O. I. Mel’nikov, V. I. Sarvanov, and R. I. Tyshkevich, Lectures in Graph Theory [in Russian], Nauka, Moscow (1990).Google Scholar
  4. 4.
    G. I. Pertashen’ (ed.), Propagation of Bulk Waves and Computational Methods for Wave Fields in Anisotropic Media [in Russian], Nauka, Leningrad, (1984).Google Scholar
  5. 5.
    S. H. Gray, J. Etgen, J. Dellinger, and J. Whitmore, “Seismic migration problems and solutions, ” Geophysics, 66, 1622–1640 (2001).CrossRefGoogle Scholar

Copyright information

© Springer Science+Business Media, Inc. 2006

Authors and Affiliations

  • G. Yu. Mel’nikov

There are no affiliations available

Personalised recommendations