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Reduction of Mantle and Core Properties to a Standard State by Adiabatic Decompression

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Chemistry and Physics of Terrestrial Planets

Part of the book series: Advances in Physical Geochemistry ((PHYSICAL GEOCHE,volume 6))

Abstract

The interpretation of geophysical data provides the only direct information about the constitution and thermal state of the Earth’s interior. The most detailed results on the internal structure consist of seismological determinations of the average density and elastic moduli as functions of depth. The interpretation of this internal structure is difficult, however, because no direct way is known for inferring mineral structures and compositions uniquely from the geophysical observations. Instead, experimentally measured densities and elastic moduli of minerals are compared with the seismological data in order to characterize the state of the interior.

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References

  • Akaogi, M., and Akimoto, S. (1979) High-pressure phase equilibria in a garnet lherzolite with special reference to Mg2+-Fe2+ partitioning among constituent minerals, Phys. Earth Planet. Int. 19, 31–51.

    Article  Google Scholar 

  • Akimoto, S., Matsui, Y., and Syono, Y. (1978) High-pressure crystal chemistry of orthosilicates and the formation of the mantle transition zone, in The Physics and Chemistry of Minerals and Rocks, edited by R. G. J. Strens, pp. 327–363. John Wiley and Sons, New York.

    Google Scholar 

  • Anderson, D. L. (1979) The upper mantle: Eclogite?, Geophys. Res. Lett. 6, 433–436.

    Article  Google Scholar 

  • Anderson, O. L. (1967) Equation for thermal expansivity in planetary interiors, J. Geophys. Res. 72, 3661–3668.

    Article  Google Scholar 

  • Backus, G., and Gilbert, F. (1970) Uniqueness in the inversion of inaccurate gross Earth data, Phil. Trans. Roy. Soc. A266, 123–192.

    Article  Google Scholar 

  • Barsch, G. R., and Chang, Z. P. (1971) Ultrasonic and static equation of state for cesium halides, in Accurate Characterization of the High Pressure Environment, Natl. Bur. Stand. U.S. Spec. Publ. 326, pp. 173–189.

    Google Scholar 

  • BVSP (Basaltic Volcanism Study Project) (1981) Basaltic Volcanism on the Terrestrial Planets. Pergamon Press, New York, 1286 pp.

    Google Scholar 

  • Birch, F. (1938) The effect of pressure upon the elastic properties of isotropic solids, according to Murnaghan’s theory of finite strain, J. Appl. Phys. 9, 279–288.

    Article  Google Scholar 

  • Birch, F. (1947) Finite elastic strain of cubic crystals, Phys. Rev., 71, 809–824.

    Article  Google Scholar 

  • Birch, F. (1952) Elasticity and constitution of the earth’s interior, J. Geophys. Res. 57, 227–286.

    Article  Google Scholar 

  • Birch, F. (1964) Density and composition of the mantle and core, J. Geophys. Res. 69, 4377–4388.

    Article  Google Scholar 

  • Birch, F. (1968) Thermal expansion at high pressures, J. Geophys. Res. 73, 817–819.

    Article  Google Scholar 

  • Birch, F. (1977) Isotherms of the rare gas solids, J. Phys. Chem. Solids 38, 175–177.

    Article  Google Scholar 

  • Birch, F. (1978) Finite strain isotherm and velocities for single-crystal and polycrystalline NaCl at high pressures and 300°K, J. Geophys. Res. 83, 1257–1267.

    Article  Google Scholar 

  • Brown, J. M., and McQueen, R. G. (1982) The equation of state of iron and the earth’s core, in High-Pressure Research in Geophysics, edited by S. Akimoto and M. H. Manghnani, pp. 611–623. Center for Academic Publishing, Tokyo.

    Google Scholar 

  • Brown, J. M., Ahrens, T. J., and Shampine, D. L. (1984) Hugoniot data for pyrrhotite and the earth’s core, J. Geophys. Res. 89, 6041–6048.

    Article  Google Scholar 

  • Bullen, K. E. (1975) The Earth’s Density. Chapman and Hall, London.

    Google Scholar 

  • Burdick, L. J., and Helmberger, D. V. (1978) The upper mantle P velocity structure of the western United States, J. Geophys. Res. 83, 1699–1712.

    Article  Google Scholar 

  • Burdick, L. J., and Powell, C. (1980) Apparent velocity measurements for the lower mantle from a wide aperture array, J. Geophys. Res. 85, 3845–3856.

    Article  Google Scholar 

  • Butler, F., and Anderson, D. L. (1978) Equation of state fits to the lower mantle and outer core, Phys. Earth Planet. Int. 17, 147–162.

    Article  Google Scholar 

  • Carter, W. J., Marsh, S. P., Fritz, J. N., and McQueen, R. G. (1971) The equation of state of selected materials for high pressure reference, in Accurate Characterization of the High Pressure Environment, Natl. Bur. Stand. U.S. Spec. Publ. 326, pp. 147–158.

    Google Scholar 

  • Cleary, J. R. (1974) The D” region, Phys. Earth Planet. Int. 9, 13–27.

    Article  Google Scholar 

  • Cormier, V. (1985) Some problems with S, SKS and ScS observations and implications for the structure at the base of the mantle and the outer core, Geophys. J. 57, 14–22.

    Google Scholar 

  • Davies, G. F. (1973) Quasiharmonic finite-strain equations of state of solids, J. Phys. Chem. Solids 34, 1417.

    Article  Google Scholar 

  • Davies, G. F. (1974) Effective elastic moduli under hydrostatic stress—I. Quasi-harmonic theory, J. Phys. Chem. Solids 35, 1513–1520.

    Article  Google Scholar 

  • Davies, G. F., and Dziewonski, A. M. (1975) Homogeneity and constitution of the Earth’s lower mantle and core. Phys. Earth Planet. Int. 10, 336–343.

    Article  Google Scholar 

  • Donohue, J. (1974) The Structure of the Elements. J. Wiley and Sons, New York, 436 pp.

    Google Scholar 

  • Dziewonski, A. M. (1984) Mapping the lower mantle: determination of lateral heterogeneity in P velocity up to degree and order 6, J. Geophys. Res 89, 5929–5952.

    Article  Google Scholar 

  • Dziewonski, A. M., and Anderson, D. L. (1981) Preliminary reference Earth model, Phys. Earth Planet. Int. 25, 297–357.

    Article  Google Scholar 

  • Fukao, Y., Nagahashi, T., and Mori, S. (1982) Shear velocity in the mantle transition zone, in High Pressure Research in Geophysics, edited by S. Akimoto and M. H. Manghnani, pp. 288–300. Center for Academic Publishing, Tokyo.

    Google Scholar 

  • Fung, Y. C. (1965) Foundations of Solid Mechanics, Prentice-Hall, Inc., Englewood Cliffs, New Jersey, 525 pp.

    Google Scholar 

  • Hart, R. S. (1975) Shear velocity in the lower mantle from explosion data, J. Geophys. Res. 85, 4889–4894.

    Article  Google Scholar 

  • Hazen, R. M., and Jeanloz, R. (1984) Wüstite (Fe1-xO): a review of its defect structure and physical properties, Rev. Geophys. Space Phys. 22, 37–46.

    Article  Google Scholar 

  • Heinz, D. L., and Jeanloz, R. (1983) Inhomogeneity parameter of a homogeneous earth, Nature (London) 301, 138.

    Article  Google Scholar 

  • Heinz, D. L., and Jeanloz, R. (1984) The equation of state of the gold calibration standard, J. Appl. Phys. 55, 885–893.

    Article  Google Scholar 

  • Heinz, D. L., Jeanloz, R., and O’Connell, R. J. (1982) Bulk attenuation in a polycrystal- line Earth, J. Geophys. Res. 87, 7772–7778.

    Article  Google Scholar 

  • Hemley, R. J., and Gordon, R. G. (1985) Theoretical study of solid NaF and NaCl at high pressures and temperature, J. Geophys. Res. 90, 7803–7813.

    Article  Google Scholar 

  • Hoffman, N. R. A., and McKenzie, D. P. (1985) The destruction of geochemical heterogeneities by differential fluid motion during mantle convection, Geophys. J. Roy. Astronom Soc. 82, 163–206.

    Google Scholar 

  • Jackson, I., and Niesler, H. (1982) The elasticity of periclase to 3 GPa and some geophysical implications, in High-Pressure Research in Geophysics, edited by S. Akimoto and M. H. Manghnani, pp. 93–113. Center for Academic Publishing, Tokyo.

    Google Scholar 

  • Jacobs, J. A. (1975) The Earth’s Core, Academic Press, New York, 253 pp.

    Google Scholar 

  • Jeanloz, R. (1979) Properties of iron at high pressure and the state of the core, J. Geophys. Res. 84, 6059–6069.

    Article  Google Scholar 

  • Jeanloz, R. (1981) Finite-strain equation of state for high-pressure phases, Geophys. Res. Lett 8, 1219–1222.

    Article  Google Scholar 

  • Jeanloz, R. (1982) Effect of coordination change on thermodynamic properties, in High- Pressure Research in Geophysics, edited by S. Akimoto and M. H. Manghnani, pp. 479– 498. Center for Academic Publishing, Tokyo.

    Google Scholar 

  • Jeanloz, R. (1982) Effect of coordination change on thermodynamic properties, in High- Pressure Research in Geophysics, edited by S. Akimoto and M. H. Manghnani, pp. 479– 498. Center for Academic Publishing, Tokyo.

    Google Scholar 

  • Jeanloz, R. (1985) Thermodynamics of phase transformations, in Reviews in Mineralogy, Vol. 14, edited by S. W. Kieffer and A. Navrotsky, pp. 389–428, Mineralogical Society of America Publications.

    Google Scholar 

  • Jeanloz, R., and Morris, S. (1986) Temperature distribution in the crust and mantle, Ann. Rev. Earth Planet. Sci 14, 377–415.

    Article  Google Scholar 

  • Jeanloz, R., and Richter, F. M. (1979) Convection, composition and the thermal state of the lower mantle, J. Geophys. Res. 84, 5497–5504.

    Article  Google Scholar 

  • Jeanloz, R., and Roufosse, M. (1982) Anharmonic properties: ionic models of the effects of compression and coordination, J. Geophys. Res. 87, 10763–10772.

    Article  Google Scholar 

  • Jeanloz, R., and Thompson, A. B. (1983) Phase transitions and mantle discontinuities, Rev. Geophys. Space Phys. 21, 51–74.

    Article  Google Scholar 

  • Jeanloz, R., and Thompson, A. B. (1983) Phase transitions and mantle discontinuities, Rev. Geophys. Space Phys. 21, 51–74.

    Article  Google Scholar 

  • Jordan, T., and Anderson, D. L. (1974) Earth structure from free oscillations and travel times, Geophys. J. Roy. Astronom Soc. 36, 411–459.

    Google Scholar 

  • Kamb, B. (1968) Structural basis of the olivine-spinel stability relation, Amer. Mineral. 53, 1439.

    Google Scholar 

  • Knittle, E., and Jeanloz, R. (1984) Structural and bonding changes in cesium iodide at high pressures, Science 223, 53–56.

    Article  Google Scholar 

  • Knittle, E., Rudy, A., and Jeanloz, R. (1985) High-pressure phase transition in CsBr, Phys. Rev. B 31, 588–590.

    Article  Google Scholar 

  • Knittle, E., Jeanloz, R., and Smith, G. L. (1986a) The thermal expansion of silicate perovskite and stratification of the earth’s mantle, Nature (London) 319, 214–216.

    Article  Google Scholar 

  • Knittle, E., Jeanloz, R., and Smith, G. L. (1986b) Thermal expansion measurement of the (Mg, Fe)SiO3 perovskite high-pressure phase, J. Geophys. Res. (submitted).

    Google Scholar 

  • Lay, T., and Helmberger, D. V. (1983) A lower mantle S-wave triplication and the shear velocity structure of D”, Geophys. J. Roy. Astronom. Soc. 75, 799–837.

    Google Scholar 

  • Mao, H. K., and Bell, P. M. (1979) Equations of state of MgO and £ Fe under static pressure conditions, J. Geophys. Res. 84, 4533–4546.

    Article  Google Scholar 

  • Masters, G. (1979) Observational constraints on the chemical and thermal structure of the earth’s deep interior, Geophys. J. Roy. Astronom. Soc. 57, 507–534.

    Google Scholar 

  • Masters, G., Jordan, T. H., Silver, P. G., and Gilbert, F. (1982) Aspherical earth structure from fundamental spheroidal-mode data, Nature (London) 298, 609–613.

    Article  Google Scholar 

  • McQueen, R. G., Marsh, S. P., Taylor, J. W., Fritz, J. N. and Carter, W. J. (1970) The equation of state of solids from shock wave studies, in High Velocity Impact Phenomena, edited by R. Kinslow, pp. 293–417. Academic Press, New York.

    Google Scholar 

  • Megaw, H. D. (1973) Crystal Structures, A Working Approach. W. B. Saunders Co., Philadelphia, 563 pp.

    Google Scholar 

  • Merrill, R. T., and McElhinny, M. W. (1983) The Eart’s Magnetic Field. Academic Press, New York, 401 pp.

    Google Scholar 

  • Nakanishi, I., and Anderson, D. L. (1984) Measurements of mantle wave velocities and inversion for lateral heterogeneity and anisotropy—II. Analysis by the single-station method, Geophys. J. Roy. Astronom. Soc. 78, 573–617.

    Google Scholar 

  • Navrotsky, A., and Akaogi, M. (1985) α-β-γ Phase relations in Fe2SiO4-Mg2SiO4 and Co2Si04-Mg2Si04: Calculation from thermochemical data and geophysical applications, J. Geophys. Res. 89, 10135–10140.

    Google Scholar 

  • Nowick, A. S., and Berry, B. S. (1972) Anelastic Relaxation in Crystalline Solids. Academic Press, New York, 677 pp.

    Google Scholar 

  • Ringwood, A. E. (1975) Compositions and Petrology of the Earth’s Mantle. McGraw-Hill, New York, 618 pp.

    Google Scholar 

  • Shankland, T. J., and Brown, J. M. (1985) Homogeneity and temperatures in the lower mantle, Phys. Earth Planet. Int. 38, 51–58.

    Article  Google Scholar 

  • Shimoji, M. (1977) The Structure of Liquid Metals. Academic Press, New York, 391 pp.

    Google Scholar 

  • Spiliopoulos, F., and Stacey, F. D. (1984) The earth’s thermal profile: Is there a mid- mantle thermal boundary layer? J. Geodyn. 1, 61–77.

    Article  Google Scholar 

  • Stacey, F. D., Brennan, B. J., and Irvine, R. D. (1981) Finite strain theories and comparisons with seismological data, Geophys. Surv. 4, 189–232.

    Article  Google Scholar 

  • Stevenson, D. J., and Turner, J. S. (1979) Fluid models of mantle convection, in The Earth: Its Origin, Structure and Evolution, edited by M. W. McElhinny, pp. 227–263. Academic Press, New York.

    Google Scholar 

  • Suzuki, I. (1975) Thermal expansion of periclase and olivine, and their anharmonic properties, J. Phys. Earth 23, 145–159.

    Article  Google Scholar 

  • Tanimoto, T., and Anderson, D. L. (1985) Lateral heterogeneity and azimuthal anisotro- phy of the upper mantle: Love and Rayleigh waves 100–250s, J. Geophys. Res. 90, 1842–1858.

    Article  Google Scholar 

  • Turcotte, D. L., and Schubert, G. (1982) Geodynamics. John Wiley and Sons, New York, 450 pp.

    Google Scholar 

  • Wallace, D. C. (1972) Thermodynamics of Crystals. J. Wiley and Sons, New York, 484 pp.

    Google Scholar 

  • Weaver, J. S. (1976) Application of finite strain theory to non-cubic crystals, J. Phys. Chem. Solids 37, 711–718.

    Article  Google Scholar 

  • Wiggins, R. A., McMechan, G. A., and Toksöz, M. N. (1973) Range of earth structure nonuniqueness implied by body wave observations, Rev. Geophys. Space Phys. 11, 87–113.

    Article  Google Scholar 

  • Wolf, G., and Jeanloz, R. (1985a) Lattice dynamics and structural distortions of CaSiO3 and MgSiO3 perovskites, Geophys. Rev. Lett. 12, 413–416.

    Article  Google Scholar 

  • Wolf, G., and Jeanloz, R. (1985b) Vibrational properties of model monatomic crystals under pressure, Phys. Rev. B. 32, 7798–7813.

    Article  Google Scholar 

  • Woodhouse, J. H., and Dziewonski, A. M. (1984) Mapping the upper mantle: three- dimensional modeling of earth structure by inversion of seismic waveforms, J. Geophys. Res. 89, 5953–5986.

    Article  Google Scholar 

  • Yoder, H. S., Jr. (1976) Generation of Basaltic Magmas. National Academy of Sciences, Washington, D. C., 265 pp.

    Google Scholar 

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Jeanloz, R., Knittle, E. (1986). Reduction of Mantle and Core Properties to a Standard State by Adiabatic Decompression. In: Saxena, S.K. (eds) Chemistry and Physics of Terrestrial Planets. Advances in Physical Geochemistry, vol 6. Springer, New York, NY. https://doi.org/10.1007/978-1-4612-4928-3_8

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  • DOI: https://doi.org/10.1007/978-1-4612-4928-3_8

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