Mathematics – Logic
Scientific paper
Mar 1985
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1985jgr....90.2995c&link_type=abstract
Journal of Geophysical Research (ISSN 0148-0227), vol. 90, March 10, 1985, p. 2995-3007. Sponsorship: Deutsche Forschungsgemeins
Mathematics
Logic
89
Convective Heat Transfer, Geotemperature, Planetary Temperature, Abundance, Earth Mantle, Lithosphere, Paleomagnetism, Parameterization, Viscosity
Scientific paper
Thermal evolution models for the earth which are based on a parameterization of the convective-heat transport are critically reexamined. Traditionally, it has been assumed that the temperature dependence of the mantle viscosity implies that internal temperature and convective-heat loss are strongly coupled. Numerical work on the heat transport by variable viscosity convection demonstrates that the dependence of the heat flow on the mantle temperature may in fact be much weaker than expected. Thermal evolution models are compared with strong and weak dependence of the heat loss on the temperature. With the weaker dependence, plate velocities and heat flow in the Archean were not more than 50 percent higher than today, while with the strong dependence, much larger differences are predicted. In the former case the Archean mantle temperatures are somewhat higher, and the present-day ratio of radioactive-heat production over heat loss (Urey ratio) is 50 percent or slightly less. The Urey ratios in the traditional parameterized evolution models are greater than 70 percent. The predictions of both kinds of models are compared with the independent geological, geochemical, and palaeomagnetic evidence. Although this evidence is subject to some uncertainties, it favors in every case the evolution models based on a weak coupling of heat loss to the interior temperature.
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