Divalent cation diffusion in Mg2SiO4 spinel (ringwoodite), β phase (wadsleyite), and olivine: Implications for the electrical conductivity of the mantle

Journal of Geophysical Research: Solid Earth

Volumn 105, Issue B1, 2000, Pages 513-529

  Farber, Daniel L ^a   Williams, Quentin ^b   Ryerson, Frederick J ^a  

^a LAWRENCE LIVERMORE NATIONAL LABORATORY   (United States)

^b UNIVERSITY OF CALIFORNIA   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ELECTRICAL CONDUCTIVITY; MANTLE; SPINEL;

EID: 0034627635     PISSN: 21699313     EISSN: 21699356     Source Type: Journal    
DOI: 10.1029/1999jb900145     Document Type: Article

References (87)

1. Adam, A., Relation of mantle conductivity to physical conditions in the asthenosphere, Geophys. Surv., 4, 43-55, 1980.
2. Akimoto, S., and H. Fujisawa, Demonstration of electrical conductivity jump produced by the olivine-spinel transition, J. Geophys. Res., 70, 443-449, 1965.
3. Atkinson, A., Grain boundary diffusion: Structural effects and mechanisms, J. Phys. Colloq., 46, 379-391, 1985.
4. Bahr, K., N. Olsen, and T. J. Shankland, On the combination of the magnetotelluric and the geomagnetic depth sounding method for resolving an electrical conductivity increase at 400 km depth, Geophys. Res. Lett., 20, 2937-2940, 1993.
5. Bai, Q., and D. L. Kohlstedt, Effects of chemical environment on the solubility and incorporation mechanism for hydrogen in olivine, Phys. Chem. Miner., 19, 460-471, 1993.
6. Bertran-Alvarez, Y., O. Jaoul, and R. C. Liebermann, Fe-Mg interdiffusion in single crystal olivine at very high pressure and controlled oxygen fugacity: Technological advances and initial data at 7 GPa, Phys. Earth Planet. Inter., 70, 102-118, 1992.
7. Bradley, R. S., A. K. Jamil, and D. C. Munro, Electrical conductivity of fayalite and spinel, Nature, 193, 965-966, 1962.
8. Brady, J. B., Intergranular diffusion in metamorphic rocks, Am. J. Sci., 283A, 181-200, 1983.
9. Brady, J. B., Diffusion data for silicate minerals, glasses, and liquids, in Mineral Physics and Crystallography: A Handbook of Physical Constants, AGU Ref. Shelf, vol. 2, edited by T. J. Ahrens, pp. 269-290, AGU, Washington, D. C., 1995.
10. Brown, J. M., and T. J. Shankland, Thermodynamic parameters in the Earth as determined from seismic profiles, Geophys. J. K. Astron. Soc., 66, 579-596, 1981.
11. Buening, D. K., and P. R. Buseck, Fe-Mg lattice diffusion in olivine, J. Geophys. Res., 78, 6852-6862, 1973.
12. Carter, N. L., and H. G. Ave'Lallemant, High temperature flow of dunite and peridotite, Geol. Soc. Am. Bull., 81, 2181-2202, 1970.
13. Chakraborty, S., Rates and mechanisms of Fe-Mg interdiffusion in olivine at 980°-1300°C, J. Geophys. Res., 102, 12,317-12,331, 1997.
14. Chakraborty, S., R. Knoche, H. Schulze, D. C. Rubie, D. Dobson, N. L. Ross, and R. J. Angel, Enhancement of cation diffusion rates across the 410-kilometer discontinuity in Earth's mantle, Science, 283, 362-365, 1999.
15. Clark, A. M., and J. V. P. Long, The anisotropic diffusion of nickel in olivine, in Thomas Graham Memorial Symposium on Diffusion Processes, edited by J. N. Sherwood et al., pp. 511-521, Gordon and Breach, Newark, N. J., 1971.
16. Crank, J., The Mathematics of Diffusion, 2nd ed., 414 pp., Oxford Univ. Press, New York, 1975.
17. Däßler, R., D. A. Yuen, S. Karato, and M. R. Riedel, Two-dimensional thermo-kinetic model for the olivine-spinel phase transition in subducting slabs, Phys. Earth Planet. Inter., 94, 217-239, 1996.
18. Duba, A., and J. Von der Gonna, Comment on change of electrical conductivity of olivine associated with the olivine → spinel transition, Phys. Earth Planet. Inter., 82, 75-77, 1994.
19. Duba, A. G., H. C. Heard, and R. N. Schock, Electrical conductivity of olivine at high pressure and under controlled oxygen fugacity, J. Geophys. Res., 79, 1667-1673, 1974.
20. Durham, W. B., C. Goetze, and B. Blake, Plastic flow of oriented single crystals of olivine: Observations and interpretations of the dislocation structures, J. Geophys. Res., 82, 5755-5770, 1977.
21. Egbert, G. D., and J. R. Booker, Very long period magnetotellurics at Tucson observatory: Implications for mantle conductivity, J. Geophys. Res., 97, 15,099-15,112, 1992.
22. 4 polymorphs and chemical heterogeneity in the mantle transition zone, Nature, 371, 693-695, 1994.
23. Farber, D. L., Q. Williams, and F. J. Ryerson, Diffusion measurements in high pressure phases: Implications for the chemical heterogeneity and electroconductivity of the upper mantle, Terra Nova Abstr., 7, suppl. 1, 83, 1995a.
24. Farber, D. L., Q. Williams, and F. J. Ryerson, In situ transport measurements in high pressure phases: A quantitative explanation for electrical conductivity in the transition zone, paper presented at General Assembly, Int. Union of Geod. and Geophys., Boulder, Colo., 1995b.
25. Farver, J. R., and R. A. Yund, Grain boundary diffusion of oxygen, potassium, and calcium in natural and hot-pressed feldspar aggregates, Contrib. Mineral. Petrol., 118, 340-355, 1995.
26. Farver, J. R., R. A. Yund, and D. C. Rubie, Magnesium grain boundary diffusion in forsterite aggregates at 1000°-1300°C and 0.1 to 10 GPa, J. Geophys. Res., 99, 19,809-19,819, 1994.
27. Ganguly, J., R. N. Bhattacharya, and S. Chakraborty, Convolution effect in the determination of compositional profiles and diffusion coefficients by microprobe step scans, Am. Mineral., 73, 901-909, 1988.
28. Gasparik, T., Transformation of enstatite-diopside-jadeite pyroxenes to garnet, Contrib. Mineral. Petrol., 102, 389-405, 1989.
29. Gasparik, T., A thermodynamic model for the enstatite-diopside join, Am. Mineral., 75, 1080-1091, 1990.
30. Green, H. W., II, and R. S. Borch, The pressure dependence of creep, Acta. Metall., 35, 1301-1351, 1987.
31. Harrison, L. G., Influence of dislocations on diffusion kinetics in solids with particular reference to the alkali halides, Trans. Faraday Soc., 57, 1191-1199, 1961.
32. Hart, F. W., On the role of dislocations in bulk diffusion, Acta Metall., 5, 597, 1957.
33. Hermance, J. F., Electrical conductivity models of the crust and mantle, in Global Earth Physics: A Handbook of Physical Constants, AGU Ref. Shelf, vol. 1, edited by T. J. Ahrens, pp. 190-205, AGU, Washington, D. C., 1995.
34. Hirsch, L. M., and T. J. Shankland, Quantitative olivine-defect chemical model: Insights on electrical conduction, diffusion, and the role of Fe content, Geophys. J. Int., 114, 21-35, 1993.
35. Houlier, B., M. Cheraghamakani, and O. Jaoul, Silicon diffusion in olivine, Phys. Earth Planet. Inter., 62, 329-340, 1990.
36. Jaoul, O., Multicomponent diffusion in olivine, J. Geophys. Res., 95, 17,631-17,642, 1990.
37. Jaoul, O., Y. Bertran-Alvarez, R. C. Liebermann, and G. D. Price, Fe-Mg interdiffusion in olivine up to 9 GPa at T = 600-900°C: Experimental data and comparison with defect calculations, Phys. Earth Planet. Inter., 89, 199-218, 1995.
38. Jocsten, R., Grain-boundary diffusion kinetics in silicate and oxide minerals, in Diffusion, Atomic Ordering, and Mass Transport: Selected Problems in Geochemistry, edited by J. Ganguly, pp. 345-395, Springer-Verlag, New York, 1991.
39. 2O to 15 GPa, Am. Mineral., 78, 271-284, 1993.
40. Jurewicz, A. J. G., and E. B. Watson, Cations in olivine, 2, Diffusion in olivine xenocrysts, with applications to petrology and mineral physics, Contrib. Mineral. Petrol., 99, 186-201, 1988.
41. Karato, S., The role of hydrogen in the electrical conductivity of the upper mantle, Nature, 347, 272-273, 1991.
42. Karato, S., and M. Ogawa, High-pressure dislocation recovery in olivine: Implications for creep mechanisms and creep activation volume, Phys. Earth Planet. Inter., 28, 312-319, 1982.
43. Karato, S., and D. Rubie, Toward an experimental study of deep mantle rheology: A new multianvil sample assembly for deformation studies under high pressures and temperatures, J. Geophys. Res., 102, 20,111-20,122, 1997.
44. Karato, S., and P. Wu, Rheology of the upper mantle: A synthesis, Science, 269, 771-778, 1993.
45. Karato, S., D. Rubie, and H. Yan, Dislocation recovery in olivine under deep upper mantle conditions: Implications for creep and diffusion, J. Geophys. Res., 98, 9761-9768, 1993.
46. 4 at high pressures and temperatures: Precise determination of the stabilities of olivine, modified spinel, and spinel, J. Geophys. Res., 94, 15,663-15,670, 1989.
47. 3 garnet, Geophys. Res. Lett., 22, 3103-3106, 1995.
48. Kitamura, M., S. Kondoh, N. Morimoto, G. H. Miller, G. R. Rossman, and A. Putnis, Planar OH-bearing defects in mantle olivine, Nature, 328, 143-145, 1987.
49. Kohlstedt, D. L., and C. Goetze, Low-stress high-temperature creep in olivine single crystals, J. Geophys. Res., 79, 2045-2051, 1974.
50. 4, Contrib. Mineral. Petrol., 123, 345-357, 1996.
51. Kubo, T., E. Ohtani, T. Kato, H. Morishima, D. Yamazaki, A. Suzuki, K. Mibe, T. Kikegawa, and O. Shimomura, An in situ X ray diffraction study of the α-β transformation, Geophys. Res. Lett., 25, 695-698, 1998a.
52. Kubo, T., E. Ohtani, T. Kato, T. Shinmei, and K. Fujino, Effects of water on the α-β transformation kinetics in San Carlos olivine, Science, 281, 85-87, 1998b.
53. 4 olivines and spinels, Phys. Chem. Miner., 12, 23-28, 1985.
54. Le Claire, A. D., The analysis of grain boundary diffusion measurements, Br. J. Appl. Phys., 14, 351-356, 1963.
55. Li, X., and R. Jeanloz, Laboratory studies of the electrical conductivity of silicate perovskite at high pressures and temperatures, J. Geophys. Res., 95, 5067-5078, 1990.
56. Mackwell, S. J., and D. L. Kohlstedt, Diffusion of hydrogen in olivine: Implications for water in the mantle, J. Geophys. Res., 95, 5079-5088, 1990.
57. Miller, G. H., G. R. Rossman, and G. E. Harlow, The natural occurrence of hydroxide in olivine, Phys. Chem. Miner., 14, 461-472, 1987.
58. Misener, D. J., Cationic diffusion in olivine to 1400°C and 35 kbar, in Geochemical Transport and Kinetics, edited by A. W. Hofmann et al., pp. 117-129, Carnegie Inst., Washington, D. C., 1974.
59. Miyamoto, M., and H. Takeda, Atomic diffusion coefficients calculated for transition metals in olivine, Nature, 303, 602-603, 1983.
60. Morioka, M., Cation diffusion in olivine, II, Ni-Mg, Mn-Mg, Mg and Ca, Geochim. Cosmochim. Acta, 45, 1573-1580, 1981.
61. Ohtani, E., and T. Kubo, Effect of water on the α-β transition kinetics and water weakening of wadsleyite, Eos Trans. AGU, 79(45), Fall Meet. Suppl., F911, 1998.
62. Omura, K., Change of electrical conductivity of olivine associated with the olivine-spinel transition, Phys. Earth Planet. Inter., 65, 292-307, 1991.
63. Omura, K., K. Kurita, and M. Kumazawa, Experimental study of the pressure dependence of electrical conductivity of olivine at high temperatures, Phys. Earth Planet. Inter., 57, 291-303, 1989.
64. Parkinson, W. D., and V. R. S. Hutton, The electrical conductivity of the Earth, in Geomagnetism, vol. 3, edited by J. A. Jacobs, chap. 4, pp. 261-321, Academic, San Diego, Calif., 1989.
65. Paterson, M. S., The determination of hydroxyl by infrared absorption in quartz, silicate glasses and similar materials, Bull. Mineral., 105, 20-29, 1982.
66. Peyronneau, J., and J. P. Poirier, Electrical conductivity of the Earth's lower mantle, Nature, 342, 537-539, 1989.
67. 4, Phys. Chem. Miner., 15, 498-506, 1988.
68. Ricoult, D. L., and D. L. Kohlstedt, Structural width of low-angle grain boundaries in olivine, Phys. Chem. Miner., 9, 133-138, 1983.
69. Ross, J. V., H. G. Ave'Lallemant, and N. L. Carter, Activation volume for creep in the upper mantle, Science, 203, 261-263, 1979.
70. 4 olivine to spinel, Bull. Mineral, 110, 471-480, 1987.
71. Rubie, D. C., and C. R. Ross II, Kinetics of the olivine-spinel transformation in subducting lithosphere: Experimental constraints and implications for deep slab processes, Phys. Earth Planet. Inter., 86, 223-241, 1994.
72. 4 olivine-spinel transformation, J. Geophys. Res., 95, 15,829-15,844, 1990.
73. Rubie, D. C., S. Karato, H. Yan, and H. S. C. O'Neill, Low differential stress and controlled chemical environment in multianvil high-pressure experiments, Phys. Chem. Miner., 20, 315-322, 1993.
74. Ruoff, A. L., and R. W. Balluffi, Strain-enhanced diffusion in metals, II, dislocation and grain-boundary short-circuiting models, J. Appl. Phys., 34, 1848-1853, 1963.
75. Ryerson, F. J., Diffusion measurements: Experimental methods, in Geophysics, vol. A, Laboratory Measurements, edited by C. Sammis and T. Henyey, Academic, San Diego, Calif., 1987.
76. Schock, R. N., A. G. Duba, and T. J. Shankland, Electrical conduction in olivine, J. Geophys. Res., 94, 5829-5839, 1989.
77. Schultz, A., R. D. Kurtz, A. D. Chave, and A. G. Jones, Conductivity discontinuities in the upper mantle beneath a stable craton, Geophys. Res. Lett., 20, 2937-2940, 1993.
78. Shankland, T. J., and A. G. Duba, Standard electrical conductivity of isotropic olivine in the temperature range 1200-1500°C, Geophys. J. Int., 103, 25-32, 1990.
79. Smyth, J. R., and D. L. Bish, Crystal Structures and Cation Sites in the Rock-Forming Minerals, 332 pp., Allen and Unwin, Winchester, Mass., 1988.
80. Stocker, R. L., Influence of oxygen pressure on defect concentrations in olivine with a fixed cationic ratio, Phys. Earth Planet. Inter., 17, 118-129, 1978.
81. Stocker, R. L., and D. Smyth, Effect of enstatite activity and oxygen partial pressure on the point-defect chemistry of olivine, Phys. Earth Planet. Inter., 16, 145-156, 1978.
82. Wagner, C., The evaluation of data obtained with diffusion couples of binary single-phase and multiphase systems, Acta Metall., 17, 99-107, 1969.
83. Walker, D., Lubrication, gasketing, and precision in multianvil experiments, Am. Mineral., 76, 1092-1100, 1991.
84. Watson, E. B., Diffusion in fluid-bearing and slightly-melted rocks: Experimental and numerical approaches illustrated by iron transport in dunite, Contrib. Mineral. Petrol., 72, 17-35, 1991.
85. 2O on the 410-kilometer seismic discontinuity, Science, 268, 74-76, 1995.
86. Xu, Y. S., B. T. Poe, T. J. Shankland, and D. C. Rubie, Electrical conductivity of olivine, wadsleyite, and ringwoodite under upper-mantle conditions, Science, 280, 1415-1418, 1998.
87. 4 and coexisting olivine: Implications for mantle evolution and dynamics, Phys. Chem. Minerals, 19, 409-422, 1993.