Journal of Soviet Mathematics

, Volume 30, Issue 5, pp 2420–2423 | Cite as

Investigation of the dispersion equation for an acoustics problem in a borehole

  • P. V. Krauklis
  • N. A. Burago
Article
  • 18 Downloads

Abstract

One gives the results of the analytic and numerical analysis of the roots of the dispersion equation for a model of a log borehole. One investigates the effect of the elastic parameters and of the densities on the dispersion and the damping of the waves in the case of radial oscillations.

Keywords

Acoustics Dispersion Equation Elastic Parameter Radial Oscillation Acoustics Problem 

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Literature cited

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    M. A. Biot, “Propagation of elastic waves in a cylindrical bore containing a fluid,” J. Appl. Phys.,23, No. 9, 997–1005 (1952).Google Scholar
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    L. Tsang and J. A. Kong, “Asymptotic methods for the first compressional head wave arrival in a fluid-filled borehole,” J. Acoust. Soc. Am.,65(3), 647–654 (1979).Google Scholar
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    L. Tsang and D. Rader, “Numerical evaluation of the transient acoustic waveform due to a point source in a fluid-filled borehole,” Geophysics,44, No. 10, 1706–1720 (1979).Google Scholar
  4. 4.
    P. V. Krauklis and L. A. Krauklis, “The wave field of a point source in a borehole,” in: Problems of the Dynamical Theory of the Propagation of Seismic Waves. XVI, Leningrad (1976), pp. 41–53.Google Scholar

Copyright information

© Plenum Publishing Corporation 1985

Authors and Affiliations

  • P. V. Krauklis
  • N. A. Burago

There are no affiliations available

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