Abstract
Any of the original A-type and B Earth models provides a first approximation to the distributions of the main internal physical properties of the Earth, namely, the density ρ, pressure p, gravitational intensity g, incompressibility k, and rigidity μ Various amendments, mostly of the nature of small corrections to the original models, will now be considered, leading to second (not final) approximations
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References
Adams, R.D. and Randall, M.J. (1963). Observed triplication of PKP. Nature (Lond.), 200, 744.
Adams, R.D. and Randall, M.J. (1964). The fine structture of the Earth’s core. Bull. Seismol. Soc. Amer., 54,1299–1313.
Al’tschuler, L.V. and Kormer, S.B. (1961). On the internal constitution of the Earth. Bull. Acad. Sci. USSR, Geophys. Ser. (English trans.), 18–21.
Anderson, D.L. (1967). Latest information from seismic observations. In The Earth’s Mantle, 355–420, Academic Press, London.
Anderson,O.L. (1968). On the use of ultrasonic and shock-wave data to estimate compressions at extremely high pressures. Phys. Earth Planet. Interiors, 1,169–176.
Arnold, E.P. (1968). Smoothing travel-time tables. Bull. Seismol. Soc. Amer., 58,1345–135l.
Arnold, E.P., Jeffreys, Sir H. and Shimshoni, M. (1963). S in three European earthquakes. Geophys. J., R. Astr. Soc., 8, 12–16.
Archimbeau, C.B., Flinn, E.A. and Lambert, D.G. (1967). Fine structure of the upper mantle. J. Geophys. Res., 74, 5825–5865.
Båth, M. (1974). Spectral Analysis in Geophysics. Elsevier, Amsterdam.
Bertrand, A.E.S. and Clowes, R.M. (1974). Seismic array evidence for a two-layer core transition zone. Phys. Earth Planet. Interiors, 8,251–268.
Birch, F. (1952). Elasticity and constitution of the Earth’s interior. J. Geophys. Res., 57,227–286.
Birch, F. (1961). Composition of the Earth’s mantle. Geophys. J., R. Astr. Soc., 4,295–31l.
Birch, F. (1963). Some geophysical applications of high-pressure research. In Solids under Pressure, 137–162, McGraw-Hill, New York.
Birch, F. (1966). Compressibility; elastic constants. In Handbook of Physical Constants (ed. S.P. Clark, Jr.), 97–173, Geological Society of America, New York.
Bolt, B.A. (1962). Gutenberg’s early PKP observations. Nature (Lond.), 196, 121–124.
Bolt, B.A. (1964). The velocity of seismic waves near the Earth’s center. Bull. Seismol. Soc. Amer., 54, 191–208.
Bolt, B.A., Niazi, M. and Somerville, M.R. (1970). Diffracted ScS and the shear velocity at the core boundary. Geophys. J., R. Astr. Soc., 19, 299–305.
Bolt, B.A. and Qamar, A. (1970). Upper bound to the density jump at the boundary of the Earth’s inner core. Nature (Lond.), 228, 148–150.
Brune, J.N. (1969). Seismic waves and crustal structure. In The Earth’s Crust and Upper Mantle, 230–242, American Geophysical Union, Washington.
Buchbinder, G.G.R. (1965).PcP from the nuclear explosion Bilby, September 13,1963. Bull. Seismol. Soc. Amer., 55, 441–46l.
Buchbinder, G.G.R. (1968). Properties of the core-mantle boundary and observations of PcP. J. Geophys. Res., 73, 5901–5923.
Buchbinder, G.G.R. (1971). A velocity structure of the Earth’s core. Bull. Seismol. Soc. Amer., 61,429–456.
Bullen, K.E. (1948). The Bikini bomb and the seismology of the Pacific region. Nature (Lond.), 161,62.
Bullen, K.E. (1961). Seismic travel-times and velocity distributions. Bur. Centro Séism. Internat., A, 21, 7–13.
Bullen, K.E. (1962). Earth’s central density. Nature (Lond.), 196,973.
Bullen, K.E. (1964a). Rigidity and density in the Earth’s core. Nature (Lond.), 201,807.
Bullen, K.E. (1964b). New evidence on rigidity in the Earth’s core. Proc. Nat. Acad. Sci. USA, 52,38–42.
Bullen, K.E. (1965). Models for the density and elasticity of the Earth's lower core. Geophys. J., R. Astr. Soc., 9,233–252
Bullen, K.E. (1969). Compressibility-pressure gradient and the constitution of the Earth’s outer core. Geophys. J., R. Astr. Soc., 18,73–79.
Bullen, K.E. (1970). Comparison of sources of evidence on the variation of incompressibility in the Earth’s deeper interior. Phys. Earth Planet. Interiors, 3, 36–40.
Bullen, K.E. (1972). Some problems connected with constructing Earth models. Proc. Conference on Solid Earth Problems, Buenos Aires, 1970, 11,63–77.
Bullen, K.E. and Burke-Gaffney, T.N. (1958). Diffracted seismic waves near the PKP caustic. Geophys. J., R. Astr. Soc., 1,9–17.
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. (1968). Corrections to three Earth models. Phys. Earth Planet. Interiors, 1,401–402.
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.
Carder, D.S. and others (1962). The Gnome explosion. Bull. Seismol. Soc. Amer., 52,977–1077.
Carder, D.S. (1964). Travel times from the central Pacific nuclear explosions and inferred mantle structure. Bull. Seismol. Soc. Amer., 54, 2271–2294.
Carder, D.S. (1965). Upper mantle from travel time studies. U.S. Program for International Upper Mantle Project, Progress Report, p. 9.
Cleary, J. (1969). The S velocity at the core-mantle boundary, from observations of diffracted S. Bull. Seismol. Soc. Amer., 59,1399–1405.
Cleary, J., Porra, K. and Read, L. (1967). Diffracted S. Nature (Lond.), 216, 905–906.
Dorman, J., Ewing, J. and Alsop, L.E. (1965). Oscillations of the Earth: new core-mantle boundary model based on low-order free vibrations. Proc. Nat. Acad. Sci. USA, 54,364–368.
Doyle, H.A. and Hales, A.L. (1967). An analysis of the travel times of S waves to North American stations, in the range 28° to 82°. Bull. Seismol. Soc. Amer., 57,761–771.
Dziewonski, A.M. and Gilbert, F. (1972). Observations of normal modes from 84 recordings of the Alaskan earthquake of 1964 March 28. Geophys. J., R. Astr. Soc., 27, 393–446.
Engdahl, E.R. (1968), Core phases and the Earth's core. Ph.D. thesis, Saint Louis University.
Engdahl, E.R., Flinn, E.A. and Romney, C. (1970). Seismic waves reflected from the Earth’s inner core. Nature (Lond.), 228, 852–853.
Engdahl, E.R. and Johnson, L.E. (1972). A new PcP data set from nuclear explosions on Amchitka Island. Trans. Amer. Geophys. Un., 53,1045.
Gilbert, F., Dziewonski, A.M. and Brune, J. (1973). An informative solution to a seismological inverse problem. Proc. Nat. A cad. Sci. USA, 70,1410–1413.
Gutenberg, B. (1926). Untersuchungen zur Frage, bis zu welcher Tiefe die Erde kristallin ist. Z. Geophys., 2,24–29.
Gutenberg, B. (1951). PKKP, P′P′, and the Earth’s core. Trans. Amer. Geophys. Un., 32,373–390.
Gutenberg, B. (1957). The ‘boundary’ of the Earth’s inner core. Trans. Amer. Geophys. Un., 38,750–753.
Gutenberg, B. and Richter, C.F. (1946). Seismic waves from atomic bomb tests. Trans. Amer. Geophys. Un., 27,776.
Haddon, R.A. (1970). [See Bullen (1972).]
Haddon, R.A. (1972). Corrugations on the mantle-core boundary or transition layers between inner and outer cores? Trans. Amer. Geophys. Un., 53, 600.
Haddon, R.A. and Bullen, K.E. (1969). An Earth model incorporating free Earth oscillation data. Phys. Earth Planet. Interiors, 2,35–49.
Hales, A.L., Cleary, J. and Roberts, J.L. (1968). Velocity distributions in the lower mantle. Bull. Seismol. Soc. Amer., 58,1975–1989.
Hales, A.L. and Roberts, J.L. (1970a). The travel times of S and SKS. Bull. Seismol. Soc. Amer. , 60,461–489.
Hales, A.L. and Roberts, J.L. (1970b). Shear velocities in the lower mantle and the radius of the core. Bull. Seismol. Soc. Amer., 60,1427–1436.
Herrin, E. and 12 others (1968). Seismological tables for P phases. Bull. Seismol. Soc. Amer., 58, 1193–1241.
Huestis, S., Molnar, P. and Oliver, J. (1973). Regional Sn velocities and shear velocity in the upper mantle. Bull. Seismol. Soc. Amer., 63,469–475.
Ibrahim, A.K. and Nuttli, O. (1967). Travel-time curves and upper mantle structure from long period S waves. Bull. Seismol. Soc. Amer., 57,1063–1092.
Jeffreys, H. (1942). The deep earthquake of 1934 June 29. Mon. Not. R. Astr. Soc., Geophys. Suppl., 5,33–36.
Jeffreys, H. (1947). Seismic waves in western and central Europe. Mon. Not. R. Astr. Soc., Geophys. Suppl., 5,105–119.
Jeffreys, Sir H. (1948). Theory of Probability (2nd Ed.), Cambridge University Press.
Jeffreys, H. (1952). The times of P up to 30°. Mon. Not. R. Astr. Soc., Geophys. Suppl., 6,348–364.
Jeffreys, Sir H. (1966). Revision of travel times. Geophys. J., R. Astr. Soc., 11, 5–12
Jeffreys, Sir H. (1967). Radius of the Earth’s core. Nature (Lond.), 215, 1365–1366.
Johnson, L.R. (1969). Array measurements of P velocities in the lower mantle. Bull. Seismol. Soc. Amer., 59,973–1008.
Jordan, T.H. and Anderson, D.L. (1974). Earth structure from free oscillations and travel times. Geophys. J., R. Astr. Soc., 36,411–459.
Julian, B.R., Davies, D. and Sheppard, R.M. (1972). PKJKP. Nature (Lond.), 235,317–318.
Julian, B.R. and Sengupta, M.K. (1973). Seismic travel time evidence for lateral inhomogeneity in the deep mantle. Nature (Lond.), 242,443–447.
Kogan, S.D. (1960). Travel times of longitudinal and transverse waves, calculated from data on nuclear explosions made in the Marshall Islands. Bull. Acad. Sci. USSR, Geophys. Ser. (English Transl.), No.3, 10pp.
Kovach, R.L. and Robinson, R. (1969). Upper mantle structure in the basin and range province, western North America, from the apparent velocities of S waves. Bull. Seismol. Soc. Amer., 59,1653–1665.
Lehmann,Inge (1959). Velocities of longitudinal waves in the upper part of the Earth’s mantle. Ann. Geophys., 15,93–118.
Lehmann, Inge (1961).S and the structure of the upper mantle. Geophys. J., R. Astr. Soc., 4, 124–138.
Lehmann, Inge (1967). Low-velocity layers. In The Earth’s Mantle, 41–61, Academic Press, London.
Lehmann, Inge (1970). The 440-km discontinuity. Geophys. J., R. Astr. Soc., 21,259–372.
McQueen, R.G. and Marsh, S.P. (1960). Equation of state for nineteen metallic elements from shock-wave measurements to two megabars. J. App. Phys., 31,1253–1269.
Molnar, P. and Oliver, J. (1969). Lateral variations of attenuation in the upper mantle and discontinuities in the lithosphere. J. Geophys. Res., 74, 2648–2682.
Muirhead, K.J. and Cleary, J. (1969). Free oscillations of the Earth and the D″ layer. Nature (Lond.), 223, 1146.
Nguyen Hai (1961). Propagation des ondes longitudinales dans Ie noyau terrestre d’après les séismes profunds des lles Fidji. Ann. Géophys., 17, 60–66.
Nguyen Hai (1963). Propagation des ondes longitudinales dans le noyau terrestre. Ann. Géophys., 19,285–346.
Niazi, M. and Anderson, D.L. (1965). Upper mantle structure of western North America from apparent velocities of P waves. J. Geophys. Res., 70, 4633–4640.
Nishimura, E., Kishimoto, Y. and Kamitsuki, A. (1958). On the nature of the 20° discontinuity in the Earth’s mantle. Tellus, 10,137–144.
Nuttli, O. (1969). Travel times and amplitudes of S waves from nuclear explosions in Nevada. Bull. Seismol. Soc. Amer., 59, 385–398
Press, F. (1968). Earth models obtained by Monte Carlo inversion. J. Geophys.Res., 73,5223–5234.
Randall, M.J. (1970). SKS and seismic velocities in the outer core. Geophys. J., R. Astr. Soc., 21,441–445.
Randall, M.J. (1971). A revised travel time for S. Geophys. J., R. Astr. Soc., 22,229–234.
Ritsema, A.R. (1969). Seismology and upper mantle investigations. In The Earth’s Crust and Upper Mantle (ed. P.J. Hart), 110–115, American Geophysical Union, Washington.
Robinson, E.A. (1967). Statistical Communication and Detection, 362 pp., Griffin, London.
Sacks, I.S. (1966). Diffracted wave studies of the Earth’s core: 1, amplitudes, core size, and rigidity. J. Geophys. Res., 71,1173–1181.
Sacks, I.S. (1967). Diffracted P-wave studies of the Earth’s core: 2, lower mantle velocity. J. Geophys. Res., 72, 2989–2994.
Sacks,I.S. (1971). Anelasticity of the inner core. Carnegie Inst. of Washington Year Book,1971,416–419.
Sacks,I.S. and Saa, G. (1971). The structure of the transition zone between the inner core and the outer core. Carnegie Inst. of Washington Year Book, 1971,419–426.
Taggart, J.N. and Engdahl, E.R. (1968). Estimation of PcP travel times and the depth to the core. Bull. Seismol. Soc. Amer., 58, 1293–1303.
Toksoz, M.N. and Wiggins, R.A. (1969). Seismic arrays and the structure of the Earth’s interior. Nerem Record, 170–171.
Yanovskaya, T.B. (1972). Determination of a set of velocity-depth curves for the transition zone in the Earth’s core from travel times of successive arrivals of PKP waves. Geophys. J., R. Astr. Soc., 29,227–235.
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Bullen, K.E. (1975). Some second approximations. In: The Earth’s Density. Springer, Dordrecht. https://doi.org/10.1007/978-94-009-5700-8_12
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DOI: https://doi.org/10.1007/978-94-009-5700-8_12
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