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Evidence on compressibility in the Earth

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The Earth’s Density

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Abstract

The intimate connection between the incompressibility k and the density ρ, as expressed in the relation (7.15), shows that evidence involving k is very pertinent to the determination of the Earth’s density variation. An illustration has already been provided in the use of information on φ, i.e. k/ρ, derived from seismic data in applying (10.7) to estimate density gradients in some regions of the Earth. In the present chapter, a quantity of additional evidence, theoretical and experimental, involving k is brought to bear.

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References

  • Ahrens TJ, Anderson DL, and atRingwood AE (1969) Equations of state and crystal structures of high-pressure phases of shocked silicates and oxides. Rev. Geophys., 7:667–

    Article  Google Scholar 

  • Akimoto S, and Ida Y (1966) High-pressure synthesis of Mg2Si04 spinel. Earth Planet. Sci. Letters, 1:358

    Article  Google Scholar 

  • Al’tschuler LV et al (1958) Zurn. Eksp. Tear. Fiz., 36:606.

    Google Scholar 

  • Al’tschuler LV, and Kormer SB (1961) On the internal constitution of the Earth. Bull. A cad. Sci. U.S.S.R., Geophys. Ser. (English trans.), pp.18–21

    Google Scholar 

  • Bernal JD (1936) Hypothesis on 20° discontinuity. Observatory, 59:268

    Google Scholar 

  • Birch F (1939) The variation of seismic velocities within a simplified Earth model, in accordance with the theory of finite strain. Bull. Seismol. Soc.Amer., 29:463–479

    Google Scholar 

  • Birch F (1952) Elasticity and constitution of the Earth’s interior. J. Geophys. Res., 57:227–2

    Article  Google Scholar 

  • Birch F (1961) Composition of the Earth’s mantle. Geophys. J., R. Astr. Soc., 4:295–311

    Google Scholar 

  • Birch F (1963) Some geophysical applications of high-pressure research. In Solids under Pressure, McGraw-Hill, New York. pp.137–162

    Google Scholar 

  • Birch F (1972) The melting relations of iron, and temperatures in the Earth’s core. Geophys.J. R. Astr. Soc., 29:373-387

    Google Scholar 

  • Bolt BA and O’Neill ME (1965) Times and amplitudes of the phases PKiKP and PKIIKP. Geophys.J. Roy. Astr. Soc., 9:223-231

    Google Scholar 

  • Boschi E and Caputo M (1969) Equations of state at high pressure and the Earth’s interior. Riv. Nuovo Cim., 1:441–513

    Article  Google Scholar 

  • Bridgman, P.W. (1931). The Physics of High Pressure. Bell, London.

    Google Scholar 

  • Bullen KE (1936) The variation of density and the ellipticities of strata of equal density within the Earth. Mon. Not. R. Astr. Soc., Geophys. Suppl., 3:395–401

    Google Scholar 

  • Bullen KE (1940) The problem of the Earth’s density variation. Bull. Seismol. Soc. Amer., 30:235–250

    Google Scholar 

  • Bullen KE (1942) The density variation of the Earth’s central core. Bull. Seismol. Soc. Amer., 3219–29

    Google Scholar 

  • Bullen KE (1946) A hypothesis on compressibility at pressures of the order of a million atmospheres. Nature, Land., 157,405

    Google Scholar 

  • Bullen KE (1949) Compressibility-pressure hypothesis and the Earth’ interior. Mon. Not. R. Astr. Soc., Geophys. Suppl., 5:355–368

    Google Scholar 

  • Bullen KE (1950) An Earth model based on a compressibility-pressure hypothesis. Mon. Not. R. Astr. Soc., Geophys. Suppl., 6:50-59

    Google Scholar 

  • Bullen KE (1951) Theoretical amplitudes of the seismic phase PKJKP. Mon. Not. R. Astr. Soc., Geophys. Suppl., 6:163–167

    Google Scholar 

  • Bullen KE (1952) On density and compressibility at pressures up to thirty million atmospheres. Mon. Not. R. Astr. Soc., Geophys. Suppl., 6:383–401

    Google Scholar 

  • Bullen KE (1956) Seismology and the broad structure of the Earth’ interior. Phys. & Chem. oftbe Earth, 1:68-93

    Google Scholar 

  • Bullen KE (1963) An index of degree of chemical inhomogeneity in the Earth. Geophys. J., R. Astr. Soc., 7:584-592

    Google Scholar 

  • Bullen KE (1964) New evidence on rigidity in the Earth’ core. Proc. Nat. Acad. Sci., Wash., 52:38–42

    Article  Google Scholar 

  • Bullen KE (1965a)On compressibility and chemical inhomogeneity in the Earth’ core. Geophys. J., R. Astr. Soc., 9:195–202

    Google Scholar 

  • Bullen KE (1965b)Models for the density and elasticity of the Earth’ core. Geophys. J., R. Astr. Soc., 9:233-252

    Google Scholar 

  • Bullen KE (1967) Note on the coefficient fl. Geophys. J., R. Astr. Soc., 13:459

    Google Scholar 

  • Bullen KE (1968a) Compression in the Earth. Geophys. J., R. Astr. Soc., 16:31–36

    Google Scholar 

  • Bullen KE (1968b) Dependence of compressibility and compression on chemical composition in finite-strain theory. Phys. Earth Planet. Interiors, 1:297–301

    Article  Google Scholar 

  • Bullen KE (1968c) Incompressibility at the Earth’ mantle-core boundary. Proc. Nat. Acad. Sci., Wash., 60:752–757

    Article  Google Scholar 

  • Bullen KE (1968d) Empirical equations of state for the Earth’ lower mantle and core. Geophys. J., R. Astr. Soc., 16:235–238

    Google Scholar 

  • Bullen KE (1969a) Compressibility-pressure gradient and the constitution of the Earth’ outer core. Geophys. J., R. Astr. Soc., 18:73–79

    Google Scholar 

  • Higgins G and Kennedy GC (1971) The adiabatic gradient and the melting point gradient in the core of the Earth.. J.Geophys. Res., 76:1870–1878

    Article  Google Scholar 

  • Bullen KE (1969c) The interiors of the planets. Ann. Rev. Astron. Astrophys., 7:177–200

    Article  Google Scholar 

  • Bullen KE (1970a) Comparison of sources of evidence on the variation of incompressibility in the Earth’ deeper interior. Phys. Earth Planet. Interiors, 3:36–40

    Article  Google Scholar 

  • Bullen KE (1970b) Note on application of Emden’s equation to planetary interiors. Mon. Not. R. Astr. Soc., 149:51–52

    Google Scholar 

  • Bullen KE (1972) Compressibility and planetary interiors. Phys. Earth Planet. Interiors, 6:131–135

    Article  Google Scholar 

  • Bullen KE and Haddon RA (1967) Earth models based on compressibility theory. Phys. Earth Planet. Interiors, 1:1–13

    Article  Google Scholar 

  • Bullen KE and Haddon RA (1968) Corrections to three Earth models. Phys. Earth Planet. Interiors, 1:401–402

    Article  Google Scholar 

  • Bullen KE and Haddon RA (1969) Upper bound to change in incompressibility at the Earth’ inner core boundary. Geophys. J., R Astr. Soc. 17:179–183

    Google Scholar 

  • Caloi P (1961) Seismic waves from the outer and inner core. Geophys. J., R. Astr. Soc., 4:139–150

    Google Scholar 

  • Chandrasekhar S (1952) The thermal instability of a fluid sphere heated within. Phil. Mag., 7:1317–1329

    Google Scholar 

  • Cleary J (1969) The S velocity at the core-mantle boundary, from observations of diffracted S. Bull. Seismol. Soc. Amer., 59:1399–1405

    Google Scholar 

  • Cook AH (1972) The dynamical properties and internal structures of the Earth, the Moon and the planets. Proc. R. Soc. Lond. A, 328:301–336

    Article  Google Scholar 

  • Davies GF and Anderson DL (1971) Revised shock-wave equations of state for high-pressure phases of rocks and minerals. Geophys. Res., 76:2617–2627

    Article  Google Scholar 

  • Elsasser WM (1951) Quantum-theoretical densities of solids at extreme compression. Science, 113:105–107

    Article  Google Scholar 

  • Evernden JF and Clark DM (1970) Study of teleseismic P. Phys. Earth Planet. Interiors, 4:1–31

    Article  Google Scholar 

  • Feynman RP, Metropolis N and Teller E (1949) Equations of state of elements based on the generalized Fermi-Dirac theory. Phys. Rev., 75:1561–1572

    Article  Google Scholar 

  • Higgins G and Kennedy GC (1971) The adiabatic gradient and the melting point gradient in the core of the Earth.. J.Geophys. Res., 76:1870–1878

    Article  Google Scholar 

  • Jacobs JA (1954) Temperature distribution within the Earth’ core. Nature, Lond., 173:258

    Article  Google Scholar 

  • Jeffreys H (1936) Hypothesis on 20° discontinuity. Observatory, 59:268

    Google Scholar 

  • Jeffreys H (1939a) The times of P, Sand SKS and the velocities of P and S. Mon. Not. R. Astr. Soc., Geophys. Suppl., 4:498–533

    Google Scholar 

  • Jeffreys H (1939b) The times of the core waves. Mon. Not. R. Astr. Soc., Geophys. Suppl., 4:48–561, 594–615

    Google Scholar 

  • Knopoff L and MacDonald GJF (1960) An equation of state for the Earth. Geophys.J., R. Astr. Soc., 3:,68–77

    Google Scholar 

  • Knopoff L and Uffen RJ (1954). The density of compounds at high pressures and the state of the Earth’ interior.. J.Geophys. Res., 59:471–484

    Article  Google Scholar 

  • 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., R. Astr. Soc., 9:439–502

    Google Scholar 

  • Lubimova HA (1956) Thermal history of the Earth and its geophysical effect. Dokl. Akad. Nauk, U.S.S.R., 107:55–58.

    Google Scholar 

  • MacDonald GJF and Knopoff L (1958) The chemical composition of the outer core. Geophys. J., R. Astr. Soc., 1:284–297

    Google Scholar 

  • McQueen RG and Marsh SP (1960) Equation of state for nineteen metallic elements from shock-wave experiments to two megabars. J. App. Pbys., 31:1253–1269

    Google Scholar 

  • Melik-Gajkazan LA (1955) Akad. Nauk SSSR, Geopbys. Inst., Trudy, 26:117

    Google Scholar 

  • Ringwood AE (1958) The constitution of the mantle — I, II and III. Geochim. et Cosmocbim. Acta, 13:303–321

    Article  Google Scholar 

  • Ringwood AE (1959) On the chemical evolution and densities of the planets. Geochim. et Cosmocbim. Acta, 15:267–283

    Google Scholar 

  • Runcorn SK (1974) A physical interpretation of Bullen’s compressibilitypressure hypothesis. Proceedings of NATO Conference, Newcastle-upon-Tyne, April 1974. In course of publication.

    Google Scholar 

  • Simon LFE (1953) The melting point of iron at high pressures. Nature, Lond., 172,:746

    Article  Google Scholar 

  • Slichter LB (1966) A glimpse at the geophysical scene. Trans. Amer. Geopbys. Un., 47:346–354

    Google Scholar 

  • Stewart RM (1973) Composition and temperature of the outer core. J. Geopbys. Res., 78:2586–2597

    Article  Google Scholar 

  • Takeuchi H and Kanamori H (1966) Equations of state of matter from shock wave experiments. Geophys. Res., 71:3985–3994

    Google Scholar 

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Authors and Affiliations

  1. University of Sydney, Sydney

    K. E. Bullen M.A.,Se.D.,Hon.D.Se.,F.R.S.

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  1. K. E. Bullen M.A.,Se.D.,Hon.D.Se.,F.R.S.
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© 2002 Springer-Verlag Berlin, Heidelberg

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Bullen, K.E. (2002). Evidence on compressibility in the Earth. In: The Earth’s Density. Springer, Dordrecht. https://doi.org/10.1007/978-94-009-5700-8_11

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  • DOI: https://doi.org/10.1007/978-94-009-5700-8_11

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-94-009-5702-2

  • Online ISBN: 978-94-009-5700-8

  • eBook Packages: Springer Book Archive

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