Special Issue: Electromagnetic Induction in the Earth
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Numerical analysis of a mechanism of electrical conductivity of substance in the middle and lower mantle
Earth, Planets and Space volume 51, pages 1067–1071 (1999)
Abstract
The method proposed is based on the Arrenius’ equation, that links electrical conductivity of solids with an enthalpy of activation, is studied and well-known distributions of temperature, pressure and electrical conductivity in the mantle. Formulas for the quantitative estimation of parameters, that characterize energy state of a lattice of the mantle, are received. Dependence of electrical conductivity on activation energy of free electron or ion, mobility of which has a power dependence on temperature, and of polaron with an exponential dependence on temperature was studied. The analysis of results has reveled that an electrical conductivity in the middle and in the lower mantle is realized by a change of activation energy of a polaron.
References
Brown, G. C. and A. E. Mussett, The Inaccessible Earth, 260 pp., Mir, Moscow, 1984 (in Russian).
Constable, S., T. J. Shancland, and A. G. Duba, The electrical conductivity of an izotropic olivine mantle, Geophys. Res., 97(B3), 3397–3404, 1992.
Constable, S., Constraints on mantle electrical conductivity from field and laboratory measurements, J. Geomag. Geoelectr., 45, 707–728, 1993.
Dsiwonski, A. M. and D. L. Anderson, Preliminari reference Earth model, Phys. Earth Planet. Inter., 25, 297–356, 1981.
Hirch, L. M., T. J. Shancland, and A. G. Duba, Electrical conduction and polaron mobility in Fe-bearing olivine, Geophys. J. Int., 114, 36–44, 1993.
Oraevsky, V. N., N. M. Rotanova, V. I. Dmitriev, E. N. Bondar, and D. Yu. Abramova, Results of deep magnetovariational sounding of Earth using ground data and satellite measurements (“MAGSAT”), Geomagn. aeron., 33(2), 120–127, 1993 (in Russian).
Parhomenko, A. I. and A. T. Bondarenko, The Electrical Conductivity of Rocks under High Pressures and Temperatures, 278 pp., Nauka, Moscow, 1972.
Porokhova, L. N., D. Yu. Abramova, and D. A. Porokhov, Models of the mantle electrical conductivity constructed be the method of Efficient Linearization using the global ground and satellite data, Geomagn. aeron., 36(5), 228–237 1996 (in Russian).
Semenov, V. Yu., Regional Conductivity Structures of the Earth’s Mantle, 119 pp., Publis. Inst/geophys. Pol. Acad. Sc., C-65(3-2), 1998.
Semenov, V. Yu. and E. P. Harin, The electrical conductivity of the mantle using data of Russian observatory, Physics of Earth, 9, 31–37, 1997 (in Russian).
Shankland, T. J. and Brown, J. M., Homogeneity and temperatures in the lower mantle, Phys. Earth Planet. Inter., 38, 51–58, 1985.
Shankland, T. J., J. Peyronneu, and J. P. Polrler, Electrical conductivity of the Earth’s lower mantle, Montly Nature, 1(12), 80–82, 1993.
Shultz, A. and V. Yu. Semenov, Modelling of the structure of electrical conductivity of the middle Earth’ mantle, Physics of Earth, 10, 39–43, 1993 (in Russian).
Stacey, F. D., Physics of the Earth, 342 pp., Mir, Moscow, 1972 (in Russian).
Zharkov, V. N., Internal Structure of Earth and Planets, 191 pp., Nauka, Moscow, 1983.
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Porokhova, L.N., Abramova, D.Y. & Porokhov, D.A. Numerical analysis of a mechanism of electrical conductivity of substance in the middle and lower mantle. Earth Planet Sp 51, 1067–1071 (1999). https://doi.org/10.1186/BF03351580
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DOI: https://doi.org/10.1186/BF03351580
Keywords
- Activation Energy
- Electrical Conductivity
- Olivine
- Free Electron
- Lower Mantle