Skip to main content

Higher Modes of Rayleigh Waves and Upper Mantle Structure

  • Chapter
Computational Seismology

Abstract

The effect of the seismic velocity distribution of the upper mantle on the dispersion and amplitude of Love waves was studied in [1, 4, 7] by numerical experimentation. The main result of these investigations was the discovery of anomalous properties of the higher modes in models of the mantle with a low-velocity zone. The conclusions of [1, 4, 7] for a vertically inhomogeneous flat earth were later confirmed by calculations for a radially inhomogeneous spherical earth [3] and explained by an asymptotic theory in [2]. Similar results for dispersion curves were obtained in [9]. In the present paper, the same studies are continued for Rayleigh waves: the fundamental mode (the Rayleigh wave proper) and the higher modes (shear modes). The dispersion and amplitudes of the first three higher Rayleigh modes are calculated for a number of vertically inhomogeneous models of the earth. Combined theoretical seismograms for various models of the upper mantle and possibilities for experimental detection of waveguides from recordings of higher modes will be considered later.

Translated from Vychislitel’naya Seismologiya, No. 4, Moscow, Nauka (1968), pp. 183–196.

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

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 39.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 54.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

Literature Cited

  1. Andrianova, Z. S., V. I. Keilis-Borok, A. L. Levshin, and M. G. Neigauz (1965), Surface Love Waves, Moscow, Nauka [English translation: Seismic Love Waves, New York, Consultants Bureau, 1967].

    Google Scholar 

  2. Buldyrev, V. S., and L. K. Ozerov (1967), “High-frequency Love waves in an inhomogeneous half-space,” in: Computational Seismology, No. 3, Moscow, Nauka, pp. 254–268.

    Google Scholar 

  3. Vil’kovich, E. V., A. L. Levshin, and M. G. Neigauz (1966), “Love waves in a vertically inhomogeneous medium (allowance for sphericity, parameter variations, and absorption),” in: Computational Seismology, No. 2, pp. 130–149, Moscow, Nauka [English translation: Seismic Love Waves, New York, Consultants Bureau, 1967].

    Google Scholar 

  4. Levshin, A. L. (1964), “Love waves and the low-velocity layer in the upper mantle,” Izv. Akad. Nauk SSSR, Ser. Geofiz., No. 11, pp. 1595–1607.

    Google Scholar 

  5. Dorman, J., M. Ewing, and J. Oliver (1960), “Study of shear velocity distribution by mantle Rayleigh waves,” in: Bull. Seism. Soc. Amer., 50:87–116.

    Google Scholar 

  6. Neigauz, M. G., and G. V. Shkadinskaya, “Method for calculating surface Rayleigh waves in a vertically inhomogeneous half-space,” this volume, p. 88.

    Google Scholar 

  7. Ivanova, Z. S., V. I. Keilis-Borok, A. L. Levshin, and M. G. Neigauz (1964), “Love waves and the structure of the upper mantle,” Geophys. J. Roy. Astr. Soc., 9:1–8.

    Article  Google Scholar 

  8. Keilis-Borok, V. I., M. G. Neigauz, and G. V. Shkadinskaya (1965), “Application of the theory of eigenfunctions to the calculations of surface wave velocities,” Revs. Geophys., 3:105–110.

    Article  Google Scholar 

  9. Kovach, R., and D. L. Anderson (1964), “Higher mode surface waves and their bearing on the structure of the earth’s mantle,” Bull. Seism. Soc. Amer., 54:161.

    Google Scholar 

  10. Oliver, J., and M. Ewing (1957), “Higher modes of continental Rayleigh waves,” Bull. Seism. Soc. Amer., 47:187–204.

    Google Scholar 

  11. Takeuchi, H., F. Press, and N. Kobayashi (1959), “Rayleigh wave evidence for the low-velocity zone in the mantle,” Bull. Seism. Soc. Amer., 49:355–364.

    Google Scholar 

Download references

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 1972 Consultants Bureau, New York

About this chapter

Cite this chapter

Frantsuzova, V.I., Levshin, A.L., Shkadinskaya, G.V. (1972). Higher Modes of Rayleigh Waves and Upper Mantle Structure. In: Keilis-Borok, V.I., Flinn, E.A. (eds) Computational Seismology. Springer, Boston, MA. https://doi.org/10.1007/978-1-4684-8815-9_12

Download citation

  • DOI: https://doi.org/10.1007/978-1-4684-8815-9_12

  • Publisher Name: Springer, Boston, MA

  • Print ISBN: 978-1-4684-8817-3

  • Online ISBN: 978-1-4684-8815-9

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics