The Grüneisen parameter and adiabatic gradient in the Earth's interior

Details The Grüneisen parameter and adiabatic gradient in the Earth's interior The Grüneisen parameter and adiabatic gradient in the Earth's interior

Jun 1989

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1989pepi...55..221q&link_type=abstract

Physics of the Earth and Planetary Interiors, Volume 55, Issue 3-4, p. 221-233.

Physics

9

Scientific paper

The most straightforward approach to derive thermodynamic properties for the Earth's interior is to express them in terms of mechanical parameters. These are directly available from seismology, and represent so far the only detailed information relative to the interior of the Earth. This goal can be achieved through a number of approximate theories of unproven practical validity. Focusing our attention on the Grüneisen parameter and using the available data, such a test is possible only at room pressure and for 19 solids (five metals, seven alkali halides, five synthetic minerals and two rocks). It shows unequivocally the superiority of the Debye-Brillouin formulation, which provides good agreement with experiment in all the cases examined. While its validity at high pressures cannot be demonstrated, under all the possible test conditions it appears much more accurate than alternatives which enjoyed great popularity in modeling the Earth's interior, such as the free-volume formulation. Applying the Debye-Brillouin theory to the Preliminary Reference Earth Model, yields the result that the Grüneisen parameter in the mantle is essentially constant around 1.2, although the approximate nature of this result does not rule out other possibilities such as γρ = constant. Thermal expansion appears remarkably constant through the lower mantle, decreasing approximately by only a factor of two. This yields a virtually flat mantle adiabat with a temperature increase of only 350 +/- 150 K through the lower mantle. The Grüneisen parameter is also constant with depth in the inner core and has values > 1.5. By analogy, both the adiabat and thermal expansion in the inner core are constant.

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