Abstract
Following the Chilean earthquake of 1960 May 22, important additional evidence on the distributions of the density ρ, incompressibility k, and rigidity μ in the interior of the Earth arose from recordings of free Earth oscillations with periods up to the order of one hour. A few hundred separate modes of free Earth oscillations have now been recorded and any acceptable Earth model has to be compatible with the better determined observational periods of these modes.
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References
Alsop, L.E., Sutton, G.H. and Ewing, M. (1961). Free oscillations of the Earth observed on strain and pendulum seismographs. J. Geophys. Res., 66,631–641.
Alterman, Z., Jarosch, H. and Pekeris, C.L. (1959). Oscillations of the Earth. Proc. Roy. Soc., A, 252, 80–95.
Backus, G. and Gilbert, F. (1961). The rotational splitting of the free oscillations of the Earth. Proc. Nat. A cad. Sci. USA., 47,362–371.
Backus, G. and Gilbert, F. (1968). The resolving power of gross Earth data. Geophys. J., Roy. Astr. Soc., 16, 169–205.
Benioff, H. (1935). A linear strain seismograph. Bull. Seismol. Soc. Amer., 25,283–309.
Benioff, H., Press, F. and Smith, S. (1961). Excitation of the free oscillations of the Earth by earthquakes. J, Geophys. Res., 66, 605–619.
Blackman, R. and Tukey, J. (1958). Tbe Measurement of Power Spectra, Dover, New York.
Bogert, B.P. (1961). An observation of free oscillations of the Earth. J. Geophys. Res., 66, 643–646.
Bolt, B.A. (1963). Recent information on the Earth's interior from studies of mantle waves and eigenvibrations. Phys. and Chem. of Earth., 5, 55–119.
Bullen, K.E. (1972). Some problems connected with constructing Earth models. Trans. Conference on Solid Earth Problems, Buenos Aires, 1970, 11,63–77.
Bullen, K.E. and Haddon, R.A. (1967a). Earth oscillations and the Earth’s interior. Nature (Lond.), 213, 574–576.
Bullen, K.E. and Haddon, R.A. (1967b). Derivation of an Earth model from free oscillation data. Proc. Nat. Acad. Sci. USA, 58,846–852.
Bullen, K.E. and Haddon, R.A. (1967c). Earth models based on compressibility theory. Phys. Earth Planet. Interiors, 1, 1–13.
Bullen, K.E. and Haddon, R.A. (1973). Some recent work on Earth models, with special reference to core structure. Geophys. J., R. Astr. Soc., 35, 31–38.
Caputo, M. (1963). Free modes of layered oblate planets. J. Geophys. Res., 68, 497–503.
Carr, R.E. (1961, 1963). Free oscillations of a gravitating solid sphere. Jet Propulsion Laboratory, Calif Inst. Tech., Technical Repts. 32–164 and 32–372.
Coulomb, ]. and Jobert, G. (1973). Traité de Géophysique Interne, Tome I, Sismologie et Pesanteur, Masson, Paris.
Dahlen, F.A. (1968). The normal modes of a rotating elliptical Earth. Geophys. J., Roy. Astr. Soc., 16,329–367.
Dahlen, F.A. (1969). The normal modes of a rotating elliptical Earth. Geophys. J., Roy. Astr. Soc., 18, 397–436.
Derr, J.S. (1969a). Free oscillation observations through 1968. Bull. Seismol. Soc. Amer., 59,2079–2099.
Derr, J.S. (1969b). Internal structure of the Earth inferred from free oscillations. J. Geophys. Res., 74, 5202–5220.
Dziewonski, A.M. and Gilbert, F. (1971). Solidity of the inner core of the Earth inferred from normal mode observations. Nature (Lond.), 234, 465–466.
Dziewonski, A.M. and Gilbert, F. (1972, 1973). Observations of normal modes from 84 recordings of the Alaskan earthquake of 28 March 1964. Geophys. J., Roy. Astr. Soc., 27, 393–446; 35, 401–437.
Dziewonski, A.M. and Gilbert, F. (1972, 1973). Observations of normal modes from 84 recordings of the Alaskan earthquake of 28 March 1964. Geophys. J., Roy. Astr. Soc., 27, 393–446; 35, 401–437.
Dziewonski, A. and Landisman, M. (1970). Great circle Rayleigh and Love wave dispersion from 100 to 900 seconds. Geophys. J., Roy. Astr. Soc., 19, 37–91.
Gilbert, F. and Backus, G. (1968). Approximate solutions to the inverse normal mode problem. Bull. Seismol. Soc. Amer., 58, 103–131.
Haddon, R.A. and Bullen, K.E. (1969). An Earth model incorporating free Earth oscillation data. Phys. Earth Planet. Interiors, 2, 35–49.
Hoskins, L.M. (1920). The strain of a gravitating sphere of variable density and elasticity. Trans. Amer. Math. Soc., 21,1–43.
Jeans, J.H. (1923). The propagation of earthquake waves. Proc. Roy. Soc., A, 102, 554–574.
Jeffreys, Sir H. (1967). Spheroidal oscillations of the Earth. Geophys. J., Roy. Astr. Soc., 14, 177.
Jeffreys, Sir H. (1970). The Earth, 5th ed. Cambridge University Press.
Jeffreys, Sir H. and Vicente, R.O. (1966). Comparison of forms of the elastic equations for the Earth. Mem. A cad. Roy. de Belgique, 37, 3–31.
Jobert, N. (1956). Évaluation de la période d’oscillation d’une sphere élastique héterogène par l’application du principe de Rayleigh. C. R. A cad. Sci. (Paris) 243,1230–1232.
Jordan, T.H. and Anderson, D.L. (1974). Earth structure from free oscillations and travel times. Geophys. J. Roy. Astr. Soc., 36,411–459.
Lamb, H. (1882). On the vibrations of an elastic sphere. Proc. Lond. Math. Soc., 13,189.
Landisman, M., Dziewonski, A. and Sata, Y. (1969). Recent improvements in the analysis of surface wave observations. Geophys, J., Roy. Astr. Soc., 17, 369–403.
Landisman, M., Sata, Y. and Nafe, J. (1965). Free vibrations of the Earth and the properties of its deep interior regions. Part 1: Density. Geophys. J., Roy. Astr. Soc., 9,439–502.
Love, A.E.H. (1911). Some Problems of Geodynamics, Cambridge University Press.
MacDonald, G.J.F. and Ness, N.F. (1961). A study of free oscillations of the Earth. J. Geophys. Res., 66, 1865–191l.
Matumoto, T. and Sato, Y. (1954). On the vibration of an elastic globe with one layer. The vibration of the first class. Bull. Earthq. Res. Inst. (Tokyo), 32, 247–258.
Ness, N.F., Harrison, J.C. and Slichter, L.B. (1961). Observations of the free oscillations of the Earth. J. Geophys. Res., 66, 621–629.
Pekeris, C.L. (1966). The internal constitution of the Earth. Geophys. J., Roy. Astr. Soc., 11,85–132.
Pekeris, C.L., Alterman, Z. and Jarosch, H. (1961). Terrestrial spectroscopy. Nature (Lond.), 190,498–500
Pekeris, C.L., Alterman, Z. and Jarosch, H. (1963). Studies in terrestrial spectroscopy. J. Geophys. Res., 68,2887–2908.
Pekeris, e.L. and Jarosch, H. (1958). The free oscillations of the Earth. Contributions in Geophysics, 171–192, Pergamon, London.
Slichter, L.B. (1966). A glimpse at the geophysical scene. Trans. Amer. Geophys. Un., 47, 346–354.
Slichter, L.B. (1967). Free oscillations of the Earth. International Dictionary of Geophysics, 331–343, Pergamon, London.
Slichter, L.B., MacDonald, G.J.F., Caputo, M. and Hager, C.L. (1966). Comparison of spectra for spheroidal modes excited by the Chilean and Alaskan quakes. Geophys. J., Roy. Astr. Soc., 11,256.
Smith, S.W. (1966). Free oscillations excited by the Alaskan earthquake. J. Geophys. Res., 71,1183–1193.
Stoneley, R. (1961). The oscillations of the Earth. Phys. and Chem. of Earth, 4,239–250, Pergamon, London.
Takeuchi, H. (1959). Torsional oscillations of the Earth and some related problems. Geophys. J., Roy. Astr. Soc., 2,89–100.
Usami, T. and Sata, Y. (1962). Torsional oscillations of a homogeneous elastic spheroid. Bull. Seismol. Soc. Amer., 52,469–484.
Wiggins, R.A. (1968). Terrestrial variational tables for the periods and attenuation of the free oscillations. Phys. Earth Planet. Interiors, 1,201–266.
Zharkov, V.N. and Lyubimov, V.M. (1970). The theory of spheroidal vibrations for a spherically symmetrical model of the Earth. Izvestiya, A cad, Sci. USSR (English Ed.), 10,613–618.
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Bullen, K.E. (1975). Evidence from free Earth oscillations. In: The Earth’s Density. Springer, Dordrecht. https://doi.org/10.1007/978-94-009-5700-8_14
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DOI: https://doi.org/10.1007/978-94-009-5700-8_14
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