Skip to main content
Log in

Method of determining the vertical seismic profile of a rock massif using Rayleigh-type waves

  • Acoustics of Structurally Inhomogeneous Solid Bodies. Geological Acoustics
  • Published:
Acoustical Physics Aims and scope Submit manuscript

Abstract

A method is substantiated for calculating the vertical seismic profile using Rayleigh polarization waves recorded on the surface, which occur during the interaction of P and SV waves localized in the heterogeneous half-space. The method makes it possible to solve the inverse problem of finding the velocities of longitudinal and transverse waves in the massif with the number of calculated points achieving 400. An algorithm of the method is presented which envisages application of multimode dispersion analysis and computation of reference points for the wave velocity in B.M. Levitan algebraic polynomials. The possibilities of the method are illustrated by examples of using it to study model objects, as well as by results of comparing microseismic exploration data.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  1. N. Haskell, Bull. Seismol. Soc. Am., No. 43, 17 (1953).

    Google Scholar 

  2. B. Zhang and L.-Yu. Lu, Acoust. Phys. 49, 516 (2003).

    Article  ADS  Google Scholar 

  3. A. L. Levshin, Surface and Channel Seismic Waves (Nauka, Moscow, 1973) [in Russian].

    Google Scholar 

  4. V. M. Markushevich, in Mathematical Methods in Seismology and Geodynamics (Nauka, Moscow, 1986), p. 119 [in Russian].

    Google Scholar 

  5. V. M. Markushevich and G. M. Khenkin, in Digital Modeling and Geophysical Process Analysis (Nauka, Moscow, 1987), p. 167 [in Russian].

    Google Scholar 

  6. T. Yu. Koroleva, T. B. Yanovskaya, and S. S. Patrusheva, Izv., Phys. Solid Earth 45, 369 (2009).

    Article  ADS  Google Scholar 

  7. B. M. Levitan, in Differential Equations with Partial Derivatives (Nauka, Novosibirsk, 1980), p. 234 [in Russian].

    Google Scholar 

  8. B. M. Levitan, Inverse Sturm-Liouville Problems (Nauka, Moscow, 1984) [in Russian].

    MATH  Google Scholar 

  9. L. S. Zagorskii, Spectral Methods of Mountain Massif Structure Determination, Ed. by V. N. Strakhov (Moscow, Graal’, 2001), [in Russian].

  10. A. N. Tikhonov, A. V. Goncharskii, V. V. Stepanov, and A. G. Yagola, Numerical Methods of the Solution of Ill-Posed Problems (Nauka, Moscow, 1990).

    MATH  Google Scholar 

  11. L. S. Zagorskii, Inform. Byull.’ Algoritm. Progr.’, No. 1, 3 (1997).

    Google Scholar 

  12. H. Arai and K. Tokimatsu, Bull. Seism. Soc. Am. 94, 53 (2004).

    Article  Google Scholar 

  13. L. M. Brekhovskikh and O. A. Godin, Waves in Layered Media (Nauka, Moscow, 1989).

    Google Scholar 

  14. L. M. Brekhovskikh, Akust. Zh. 14, 194 (1968).

    Google Scholar 

  15. A. V. Nikolaev, P. A. Troitskii, and I. Ya. Chebotareva, Dokl. Akad. Nauk SSSR, 286, 586 (1986).

    Google Scholar 

  16. I. B. Esipov and Yu. S. Stepanov, Akust. Zh. 34, 845 (1988).

    Google Scholar 

  17. L. V. Socco, S. Foti, and D. Boiero, Geophysics 75(5), 83 (2010).

    Article  ADS  Google Scholar 

  18. A. V. Gorbatikov, N. V. Larin, E. I. Moiseev, and A. V. Belyashov, Dokl. Earth Sci. 428, 1222 (2009).

    Article  ADS  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to L. S. Zagorskii.

Additional information

Original Russian Text © L.S. Zagorskii, V.L. Shkuratnik, 2013, published in Akusticheskii Zhurnal, 2013, Vol. 59, No. 2, pp. 222–231.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Zagorskii, L.S., Shkuratnik, V.L. Method of determining the vertical seismic profile of a rock massif using Rayleigh-type waves. Acoust. Phys. 59, 197–206 (2013). https://doi.org/10.1134/S1063771013020139

Download citation

  • Received:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1134/S1063771013020139

Keywords

Navigation