Thermoelasticity of a mineral composite and a reconsideration of lower mantle properties

Physics of the Earth and Planetary Interiors

Volumn 106, Issue 3-4, 1998, Pages 219-236

  Stacey, Frank D ^a  

^a CSIRO   (Australia)

Author keywords

[No Author keywords available]

Indexed keywords

MANTLE PROPERTIES; MINERAL COMPOSITE; THERMOELASTICITY;

EID: 0032502537     PISSN: 00319201     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0031-9201(98)00084-3     Document Type: Article

References (36)

1. Anderson, O.L., Isaak, D.G., 1995. Elastic constants of mantle minerals at high temperature. In: Ahrens, T.J. (Ed.), A handbook of Physical Constants: 2. Mineral Physics and Crystallography. American Geophysical Union, Washington, pp. 64-97.
2. Bass, J.D., 1995. Elasticity of minerals, glasses and melts. In: Ahrens, T.J. (Ed.), A Handbook of Physical Constants: 2. Mineral Physics and Crystallography. American Geophysical Union, Washington, pp. 45-63.
3. Birch F. Elasticity and constitution of the earth's interior. J. Geophys. Res. 57:1952;227-286.
4. Boehler R., Chopelas A. A new approach to laser heating in high pressure mineral physics. Geophys. Res. Lett. 18:1991;1147-1150.
5. Brennan B.J., Stacey F.D. A thermodynamically based equation of state for the lower mantle. J. Geophys. Res. 84:1979;5535-5539.
6. Budiansky B. Thermal and thermoelastic properties of isotropic composites. J. Composite Mater. 4:1970;286-295.
7. Dziewonski A.M., Anderson D.L. Preliminary reference earth model. Phys. Earth Planet. Int. 25:1981;297-365.
8. Dziewonski A.M., Hales A.L., Lapwood E.R. Parametrically simple earth models consistent with geophysical data. Phys. Earth Planet. Int. 10:1975;12-48.
9. Haddon R.A.W., Bullen K.E. An earth model incorporating free earth oscillation data. Phys. Earth Planet. Int. 2:1969;35-49.
10. Hashin Z., Shtrikman S. A variational approach to the elastic behaviour of multiphase materials. J. Mech. Phys. Solids. 11:1963;127-140.
11. Hill R. The elastic behaviour of a crystalline aggregate. Proc. Phys. Soc. A. 65:1952;349-354.
12. Jackson, I., Niesler, H., 1982. The elasticity of periclase to 3 GPa and some geophysical implications. In: Akimoto, S., Manghnani, M. (Eds.), High Pressure Research in Geophysics. Center for Academic Publications, Tokyo, pp. 93-113.
13. Jackson I., Rigden S.M. Analysis of P-V-T data: constraints on the thermoelastic properties of high pressure minerals. Phys. Earth Planet. Int. 96:1996;85-112.
14. Keane A. An investigation of finite strain in an isotropic material subjected to hydrostatic pressure and its seismological applications. Aust. J. Phys. 7:1954;323-333.
15. Kennett B.L.N., Engdahl E.R., Buland R. Constraints on seismic velocities in the earth from travel times. Geophys. J. Int. 122:1995;108-124.
16. Kumazawa M. The elastic constant of polycrystalline rocks and non-elastic behavior in them. J. Geophys. Res. 74:1969;5311-5320.
17. Love, A.E.H., 1927. A Treatise on the Mathematical Theory of Elasticity, 4th edn. Cambridge Univ. Press, Cambridge, 643 pp.
18. Miller M.N. Bounds for effective bulk modulus of heterogenous materials. J. Math. Phys. 10:1969;2005-2013.
19. Montagner J.-P., Kennett B.L.N. How to reconcile body wave and normal mode reference earth models. Geophys. J. Int. 125:1996;229-248.
20. Morse P.M. Diatomic molecules according to the wave mechanics: II. vibrational levels. Phys. Rev. 34:1929;57-64.
21. Murnaghan, F.D., 1951. Finite Deformation of an Elastic Solid. Wiley, New York, 140 pp.
22. Robertson G.S., Woodhouse J.H. Ratio of relative S to P velocity heterogeneity in the lower mantle. J. Geophys. Res. 101:1996;20041-20052.
23. Robertson G.S., Woodhouse J.H. Constraints on lower mantle physical properties from seismology and mineral physics. Earth Planet. Sci. Lett. 143:1996;197-205.
24. Rydberg R. Graphische darstellung einiger bandspektroskopische ergebnisse. Z. Phys. 73:1932;376-385.
25. Slater, J.C., 1939. Introduction to Chemical Physics. McGraw-Hill, New York, 521 pp.
26. Stacey, F.D., 1992. Physics of the Earth, 3rd edn. Brookfield Press, Brisbane, 513 pp.
27. Stacey F.D. Theory of thermal and elastic properties of the lower mantle and core. Phys. Earth Planet. Int. 89:1995;219-245.
28. 3 perovskite and a comparison with the lower mantle. Phys. Earth Planet. Int. 98:1996;65-77.
29. Stacey F.D. Bullen's seismological homogeneity parameter, η, applied to a mixture of minerals: the case of the lower mantle. Phys. Earth Planet. Int. 99:1997;189-193.
30. Stacey F.D., Brennan B.J., Irvine R.D. Finite strain theories and comparisons with seismological data. Geophys. Surv. 4:1981;189-232.
31. Su W.-J., Dziewonski A.M. Simultaneous inversion for 3-D variations in shear and bulk velocity in the mantle. Phys. Earth Planet. Int. 100:1997;135-156.
32. Suzuki I. Thermal expansion of periclase and olivine and their anharmonic properties. J. Phys. Earth. 23:1975;145-159.
33. Thomsen L. Elasticity of polycrystals and rocks. J. Geophys. Res. 77:1972;315-327.
34. Watt G.P., Davies G.F., O'Connell R.J. The elastic properties of composite materials. Rev. Geophys. Space Phys. 14:1976;541-563.
35. Yeganeh-Haeri A. Synthesis and re-investigation of the elastic properties of single crystal magnesium silicate perovskite. Phys. Earth Plant. Int. 87:1994;111-121.
36. Zharkov, V.N., Kalinin, V.A., 1971. Equations of State for Solids at High Temperatures and Pressures (Translated from Russian). Consultants Bureau, New York, 257 pp.