Skip to main content
Log in

On the seismic pulse in a standard linear solid

  • Published:
pure and applied geophysics Aims and scope Submit manuscript

Summary

An old problem by jeffreys about the effect ofelastic afterworking on a seismic pulse is recomputed assuming most recent data on anelasticity of the Earth. At great distances the method of steepest descents is used; the contribution of the saddle point near the pole is here taken into account. The resulting effect is resembling the firmoviscous rather than the elastoviscous one.

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.

Similar content being viewed by others

References

  1. H. Jeffreys,Damping in bodily seismic waves, Mon. Not. R. Astr. Soc. Geophys., Suppl.2 (1931), 318–323.

    Google Scholar 

  2. H. Jeffreys,On plasticity and creep in solids, Proc. R. Soc. LondonA138 (1932), 283–297.

    Google Scholar 

  3. T. Meidav,Viscoelastic properties of the standard linear solid, Geophys. Prosp.12 (1960), 80–99.

    Google Scholar 

  4. D. L. Anderson,The anelasticity of the mantle, Geophys. J. R. Astr. Soc.14 (1967), 135–164.

    Google Scholar 

  5. D. D. Jackson,Elastic relaxation model for seismic wave attenuation in the earth. Phys. Earth Planet. Interiors2 (1969), 30–34.

    Google Scholar 

  6. D. D. Jackson, andD. L. Anderson,Physical mechanisms of seismic-wave attenuation, Rev. Geophys.8 (1970), 1–63.

    Google Scholar 

  7. M. Caputo andF. Mainardi,A new dissipation model based on memory mechanism, Pure and Applied Geophys.91 (1971), 134–147.

    Google Scholar 

  8. M. Caputo andF. Mainardi,Linear models of dissipation in anelastic solids, Rivista del Nuovo Cimento, (Serie II),1 (1971), 161–198.

    Google Scholar 

  9. H. Jeffreys,The Earth, (Cambridge, 1970).

  10. R. L. Kovach andD. L. Anderson,Attenuation of shear waves in the upper mantle and lower mantle, Bull. Seism. Soc. Am.54 (1964), 1855–1864.

    Google Scholar 

  11. B. L. van der Waerden,On the method of saddle points, Appl. Sci. Res.82 (1951), 33–45.

    Google Scholar 

  12. L. M. Brekhovskikh,Waves in Layered Media, (New York-London, 1960), p. 264.

Download references

Author information

Authors and Affiliations

Authors

Additional information

Partly supported by C.N.R. (Gruppo di Fisica Matematica). Facoltà di Ingegneria dell' Università di Ancona, Italy.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Mainardi, F. On the seismic pulse in a standard linear solid. PAGEOPH 99, 72–84 (1972). https://doi.org/10.1007/BF00875265

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF00875265

Keywords

Navigation