Analysis of P-V-T data: Constraints on the thermoelastic properties of high-pressure minerals

Physics of the Earth and Planetary Interiors

Volumn 96, Issue 2-3 SPEC. ISS., 1996, Pages 85-112

  Jackson, Ian ^a   Rigden, Sally M ^a  

^a AUSTRALIAN NATIONAL UNIVERSITY   (Australia)

Author keywords

[No Author keywords available]

Indexed keywords

HIGH PRESSURE; MANTLE MINERAL; P/V/T DATA; PEROVSKITE; THERMOELASTIC PROPERTIES;

EID: 0030460841     PISSN: 00319201     EISSN: None     Source Type: Journal    
DOI: 10.1016/0031-9201(96)03143-3     Document Type: Article

References (52)

1. 3 perovskite. Geophys. Res. Lett., 20: 105-108.
2. Anderson, O.L., 1984. A universal thermal equation-of-state. J. Geodyn., 1: 185-214.
3. Anderson, O.L., 1995. Equations of State of Solids for Geophysics and Ceramic Science. Oxford University Press, Oxford, 405 pp.
4. Anderson, O.L., Isaak, D.G. and Yamamoto, S., 1989. Anharmonicity and the equation of state of gold. J. Appl. Phys., 65: 1534-1543.
5. Anderson, O.L., Isaak, D.G. and Oda, H., 1992. High temperature elastic constant data on minerals relevant to geophysics. Rev. Geophys., 30: 57-90.
6. Bass, J.D., Liebermann, R.C., Weidner, D.J. and Finch, S.J., 1981. Elastic properties from acoustic and volume compression experiments. Phys. Earth Planet. Inter., 25: 140-158.
7. Bell, P.M., Mao, H.K. and Xu, J.A., 1987. Error analysis of parameter-fitting in equations-of-state for mantle minerals. In: M.H. Manghnani and Y. Syono (Editors), High-pressure Research in Mineral Physics. Terra, Tokyo-American Geophysical Union, Washington, DC, pp. 447-454.
8. Birch, F., 1952. Elasticity and constitution of the earth's interior. J. Geophys. Res., 57: 227-286.
9. Born, M. and Huang, K., 1954. Dynamical Theory of Crystal Lattices. Oxford University Press, Oxford, 420 pp.
10. Brandt, S., 1976. Statistical and Computational Methods in Data Analysis. North-Holland, Amsterdam, 414 pp.
11. Brown, J.M. and Shankland, T.J., 1981. Thermodynamic parameters in the earth as determined from seismic profiles. Geophys. J. R. Astron. Soc., 66: 579-596.
12. Bukowinski, M.S.T. and Wolf, G.H., 1990. Thermodynamically consistent decompression: implications for lower mantle composition. J. Geophys. Res., 95: 12583-12593.
13. Chen, G., Spetzler, H.A. and Getting, I.C., 1994. New developments in GHz ultrasonic interferometry: elasticity of olivine and garnet solid solutions series, S mode transducer, and simultaneous P-T environment. EOS (Trans. Am. Geophys. Union), 1994 Fall Meeting Suppl., 75: 662.
14. 4 at mantle pressure derived from vibrational spectroscopy: implications for the mantle at 400km depth. J. Geophys. Res., 96: 11817-11829.
15. Chopelas, A. and Boehler, R., 1992. Thermal expansivity in the lower mantle. Geophys. Res. Lett., 19: 1983-1986.
16. Cynn, H., Anderson, O.L., Isaak, D.G. and Nicol, M., 1995. Grüneisen ratios of MgO from the calculation of entropy. J. Phys. Chem., 99: 7813-7818.
17. Davies, G.F., 1973. Quasiharmonic finite-strain equations of state of solids. J. Phys. Chem. Solids, 34: 1417-1429.
18. Davies, G.F. and Dziewonski, A.M., 1975. Homogeneity and constitution of the Earth's lower mantle and outer core. Phys. Earth Planet. Inter., 10: 336-343.
19. Davies, G.F. and Gaffney, E.S., 1973. Identification of high-pressure phases of rocks and minerals from Hugoniot data. Geophys. J. R. Astron. Soc., 33: 165-183.
20. Dorogokupets, P., 1994. The temperature correction for an equation of state from the thermal expansivity at high pressure. EOS (Trans. Am. Geophys. Union), 1994 Fall Meeting Suppl., 75: 633.
21. Duffy, T.S. and Anderson, D.L., 1989. Seismic velocities in mantle minerals and the mineralogy of the upper mantle. J. Geophys. Res., 94: 1895-1912.
22. Duffy, T.S., Zha, C., Downs, R.T., Mao, H.K. and Hemley, R.J., 1995. Elasticity of forsterite to 16GPa and the composition of the upper mantle. Nature, 378: 170-173.
23. 4 to 26GPa and 900K. J. Geophys. Res., 97: 4489-4495.
24. 3 perovskite under lower mantle conditions. Geophys. Res. Lett., 20: 387-390.
25. 3 perovskite determined by in situ X-ray observations up to 30GPa and 2000K. J. Geophys. Res., 101: 8257-8269.
26. Gillet, P., Richet, P., Guyot, F. and Fiquet, G., 1991. High temperature thermodynamic properties of forsterite. J. Geophys. Res., 96: 11805-11816.
27. 4 and the composition of the Earth's mantle. Science, 250: 794-797.
28. 4 (x ≤ 0.25). Phys. Chem. Minerals, 17: 416-419.
29. 3 - a silicate perovskite analogue. Phys. Chem. Minerals, 17: 89-96.
30. Isaak, D.G., 1993. The mixed P,T derivatives of elastic moduli and implications on extrapolating throughout Earth's mantle. Phys. Earth Planet. Inter., 80: 37-48.
31. Ita, J. and Stixrude, L., 1992. Petrology, elasticity and composition of the mantle transition zone. J. Geophys. Res., 97: 6849-6866.
32. Jackson, I. and Niesler, H., 1982. The elasticity of periclase to 3GPa and some geophysical implications. In: S. Akimoto and M. Manghnani (Editors), High-Pressure Research in Geophysics. Center for Academic Publications, Tokyo, pp. 93-113.
33. Jeanloz, R. and Knittle, E., 1989. Density and composition of the lower mantle. Philos. Trans. R. Soc. London, Ser. A, 328: 377-389.
34. Kieffer, S.W., 1979. Thermodynamics and lattice vibrations of minerals: 1. Mineral heat capacities and their relationships to simple lattice vibrational models. Rev. Geophys. Space Phys., 17: 1-19.
35. 3 perovskite to over 100GPa. Science, 235: 669-670.
36. Mao, H.-K. and Bell, P.M., 1979. Equations of state of MgO and ∈-Fe under static pressure conditions. J. Geophys. Res., 84: 4533-4536.
37. 3 perovskite to 30GPa. J. Geophys. Res., 91: 8069-8079.
38. 4 and high-pressure Brillouin spectroscopy. Ph.D. Thesis, State University of New York at Stony Brook, 154 pp.
39. Meng, Y., Weidner, D.J. and Fei, Y., 1993. Deviatoric stress in a quasi-hydrostatic diamond anvil cell: effect on the volume-based pressure calibration. Geophys. Res. Lett., 20: 1147-1150.
40. 4 to mantle pressure and 700K: thermal equation of state and related thermoelastic properties. Phys. Chem. Minerals, 21: 407-412.
41. Richet, P., Mao, H.-K. and Bell, P.M., 1989. Bulk moduli of magnesiowüstites from static compression measurements. J. Geophys. Res., 94: 3037-3045.
42. Rigden, S.M., Gwanmesia, G.D., Fitz Gerald, J.D., Jackson, I. and Liebermann, R.C., 1991. Spinel elasticity and seismic structure of the transition zone of the mantle. Nature, 354: 143-145.
43. Rigden, S.M., Gwanmesia, G.D. and Liebermann, R.C., 1994. Elastic wave velocities of a pyrope-majorite garnet to 3GPa. Phys. Earth Planet. Inter., 86: 35-44.
44. 3 perovskite from 77 to 400K. Phys. Chem. Minerals, 16: 415-420.
45. 4. Science, 224: 749-751.
46. Stixrude, L. and Bukowinski, M.S.T., 1990. Fundamental thermodynamic relations and silicate melting with implications for the constitution of D″. J. Geophys. Res., 95: 19311-19325.
47. 4. J. Phys. Earth, 28: 273-280.
48. 3 perovskite under high pressures up to 20GPa. Geophys. Res. Lett., 22: 1005-1008.
49. 3 perovskite: constraints on composition of the lower mantle. Phys. Earth Planet. Inter., 83: 13-40.
50. Watanabe, H., 1982. Thermochemical properties of synthetic high-pressure compounds relevant to the Earth's mantle. In: S. Akimoto and M.H. Manghnani (Editors), High Pressure Research in Geophysics. Center for Academic Publications, Tokyo, pp. 441-464.
51. Yeganeh-Haeri, A., 1994. Synthesis and re-investigation of the elastic properties of single-crystal magnesium silicate perovskite. Phys. Earth Planet. Inter., 87: 111-121.
52. Zaug, J.M., Abramson, E.H., Brown, J.M. and Slutsky, L.T., 1993. Sound velocities in olivine at earth mantle pressures. Science, 260: 1487-1489.