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Phonon thermal conductivity of geomaterials: relationship to the seismic parameter fi

Maj S.

Acta Geophysica Polonica

2002

Vol. 50, nr 1

69-78

A logarithmic relationship between the phonon thermal conductivity under normal conditions and seismic parameter F (or square of the hydrodynamical velocity of sound) for silicate and oxide minerals related to the Earth's interior is proposed. The considerations are based on Debye's theory of solid phase and on the seismic equations of state for minerals. In numerical calculations the thermodynamical laboratory data of several main silicates were also used.

On the relation between melting temperature and seismic parameter P for perovskites Melting-point at the mantle/core boundary

Maj S.

Acta Geophysica Polonica

2002

Vol. 50, nr 3

413-422

A linear semi-empirical relation between the making temperature Tm and product F of the mean atomic weight and seismic parameter F is suggested for mineral phases with perovskite structures. Theoretical studies are based on the Sutherland-Lindemann idea of melting processes and on Debye's model of solids. In calculations, thermodynamical data of several perovskite-fluorides and -oxides were also used. It results from the above relationship that for perovskite variant of the Earth's deep interior the probable melting temperature at the mantle/core boundary is about (5085š220) ÷ (5533š235) K; the parameter F was calculated from P- and S-wave velocities at a depth of 2890 km and normalized to room temperature.