Skip to main content

Numerical analysis of a mechanism of electrical conductivity of substance in the middle and lower mantle

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

  1. Brown, G. C. and A. E. Mussett, The Inaccessible Earth, 260 pp., Mir, Moscow, 1984 (in Russian).

    Google Scholar 

  2. Constable, S., T. J. Shancland, and A. G. Duba, The electrical conductivity of an izotropic olivine mantle, Geophys. Res., 97(B3), 3397–3404, 1992.

    Article  Google Scholar 

  3. Constable, S., Constraints on mantle electrical conductivity from field and laboratory measurements, J. Geomag. Geoelectr., 45, 707–728, 1993.

    Article  Google Scholar 

  4. Dsiwonski, A. M. and D. L. Anderson, Preliminari reference Earth model, Phys. Earth Planet. Inter., 25, 297–356, 1981.

    Article  Google Scholar 

  5. 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.

    Article  Google Scholar 

  6. 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).

    Google Scholar 

  7. Parhomenko, A. I. and A. T. Bondarenko, The Electrical Conductivity of Rocks under High Pressures and Temperatures, 278 pp., Nauka, Moscow, 1972.

    Google Scholar 

  8. 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).

    Google Scholar 

  9. Semenov, V. Yu., Regional Conductivity Structures of the Earth’s Mantle, 119 pp., Publis. Inst/geophys. Pol. Acad. Sc., C-65(3-2), 1998.

  10. 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).

    Google Scholar 

  11. Shankland, T. J. and Brown, J. M., Homogeneity and temperatures in the lower mantle, Phys. Earth Planet. Inter., 38, 51–58, 1985.

    Article  Google Scholar 

  12. Shankland, T. J., J. Peyronneu, and J. P. Polrler, Electrical conductivity of the Earth’s lower mantle, Montly Nature, 1(12), 80–82, 1993.

    Google Scholar 

  13. 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).

    Google Scholar 

  14. Stacey, F. D., Physics of the Earth, 342 pp., Mir, Moscow, 1972 (in Russian).

    Google Scholar 

  15. Zharkov, V. N., Internal Structure of Earth and Planets, 191 pp., Nauka, Moscow, 1983.

    Google Scholar 

Download references

Author information

Affiliations

Authors

Corresponding author

Correspondence to L. N. Porokhova.

Rights and permissions

Reprints and Permissions

About this article

Verify currency and authenticity via CrossMark

Cite this article

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

Download citation

Keywords

  • Activation Energy
  • Electrical Conductivity
  • Olivine
  • Free Electron
  • Lower Mantle