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11 - Thermal Properties of Rocks and Minerals

Published online by Cambridge University Press:  19 November 2021

Nikolai Bagdassarov
Nikolai Bagdassarov
Affiliation:
Goethe-Universität Frankfurt Am Main
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Summary

Conduction of thermal energy according to Fourier’s law is the principal mechanism of heat transport in rocks, which is due to movement of electrons (electron conduction) and by lattice atoms (phonon or lattice conduction). Heat capacity of minerals at low temperature is mostly due to lattice contributions. At high temperatures, electron heat capacity and thermal conductivity are significant. Pressure dependence of thermal conductivity is described by the Bridgman equation. Pressure derivative is scaled to the Bridgman parameter. For thermal conductivity of cubic crystals above Debye temperature, Slack’s formula is used. The Wiedemann–Franz law relates thermal conductivity (?) and electrical conductivity. Increased concentration of vacancies reduces thermal conductivity, but it increases with tilt angle of grain boundaries. To measure thermal conductivity, Forbes, Ångström, Kohlrausch, and flash diffusivity methods are used. Phase transition and melting/crystallization affect heat capacity and thermal conductivity. Geothermal energy is connected with the properties of fluid-saturated rocks. Focus Box 11.1: Phonons and Debye temperature. Focus Box 11.2: Grüneisen parameter.

Keywords

Fourier lawthermal diffusion and conductivityspecific and latent heat of minerals and rocksradiative heat transfer lawmodels of thermal conductivity of rocksthermal anisotropymethods of thermal conductivity measurementsphase transitions and heat transportgeothermal energy.
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Fundamentals of Rock Physics , pp. 455 - 504
Publisher: Cambridge University Press
Print publication year: 2021

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