Summary
The propagation of Rayleigh waves in the earth is investigated in the period range of about 60 to 590 seconds. It has been shown that a set of earth-flattening approximations can be used to transform the heterogeneous spherical earth into plane-layered earth on which the dispersion computations by matrix method can be applied effectively to describe the fundamental mode of spheroidal oscillations involving the crust and the mantly only.
Similar content being viewed by others
References
Z. Alterman, H. Jarosch andC. L. Pekeris,Oscillations of the earth, Pro. Roy. Soc. Lond. A252 (1959), 80–95.
Z. Alterman, H. Jarosch andC. L. Pekeris,Propagation of Rayleigh waves in the earth, Geophys. J.4 (1961), 219–241.
D. L. Anderson, Recent evidence concerning the structure and composition of the earth's mantle, in Physics and chemistry of the earth6 (1966), 1–131, (Pergamon Press, New York and London).
D. L. Anderson andM. N. Toksöz,Surface waves on a spherical earth, 1., J. Geophys. Res.68 (1963), 3483–3500.
Z. S. Andrianova, V. I. Keilis-Borok, A. L. Lershin andM. G. Neigauz,Seismic Love Waves, Consultants Bureau, New York (1967), (in English).
N. Biswas andL. Knopoff,Exact-earth-flattening calculation for Love waves, Bull. Seismol. Soc. Amer.60 (1970), 1123–1137.
B. A. Bolt andJ. Dorman,Phase and group velocities of Rayleigh waves in a spherical, gravitating earth, J. Geophys. Res.66 (1961), 2965–2981.
J. Derr,A comparison of free oscillations of oceanic and continental earth-models, Bull. Seismol. Soc. Amer.57 (1967), 1047–1061.
J. Dorman, M. Ewing andJ. Oliver,Study of shear-velocity distribution in the upper-mantle by mantle Rayleigh waves, Bull. Seismol. Soc. Amer.50 (1960), 87–115.
N. A. Haskell,The dispersion of surface waves on multi-layered media, Bull. Seismol. Soc. Amer.43 (1953), 17–84.
L. Knopoff,A matrix method for elastic wave problems, Bull. Seismol. Soc. Amer.54 (1964), 431–438.
Y. C. Koo andM. Katzin,An exact earth-flattening procedure in propagation around a sphere, Jr. Res. Nat. Bur. Stand.64D (1960), 61–64.
C. L. Pekeris,Accuracy of the earth-flattening approximation in the theory of microwave propagation, Phys. Rev.70 (1946), 519–522.
M. H. L. Price,The diffraction of radio waves by the curvature of the earth, Advances in Physics2 (1953), 67–102.
F. Schwab andL. Knopoff,Surface-wave dispersion computations, Bull. Seismol. Soc. Amer.60, (1970), 321–344.
F. Schwab andL. Knopoff,Surface waves in multilayered anelastic media, Bull. Seismol. Soc. Amer. 61, (1971), 893–912.
H. Tekeuchi, M. Saito andN. Kobayashi,Study of shear velocity distribution in the upper mantle by mantle Rayleigh and Love waves, J. Geophys. Res.67 (1962), 2831–2839.
W. T. Thompson,Transmission of elastic waves through a stratified medium, J. Appl. Phys.21 (1950), 89–93.
V. N. Zharkov,Elementary theory of spheroidal vibrations of the earth, Izv. Akad. Nauk-USSR, Geophys. Ser. (1967), 491–499.
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Biswas, N.N. Earth-flattening procedure for the propagation of Rayleigh wave. PAGEOPH 96, 61–74 (1972). https://doi.org/10.1007/BF00875629
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF00875629