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 revealed that an electrical conductivity in the middle and in the lower mantle is realized by a change of activation energy of a polaron.