Adiabaticity and viscosity in deep mantle convection

Details Adiabaticity and viscosity in deep mantle convection Adiabaticity and viscosity in deep mantle convection

Jan 1986

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1986georl..13...38q&link_type=abstract

Geophysical Research Letters (ISSN 0094-8276), vol. 13, Jan. 1986, p. 38-41.

Mathematics

Logic

6

Adiabatic Conditions, Convection, Earth Mantle, Temperature Profiles, Viscosity, Rayleigh Number, Rheology

Scientific paper

A study has been conducted of steady convection with adiabatic and viscous heating for variable viscosity in the Boussinesq limit using the mean-field theory. A strong nonlinear coupling is found between the thermodynamic constants governing adiabatic heating and the rheological parameters. The range of rheological values for which adiabaticity would occur throughout the mantle has been established. Too large an activation volume, greater than 6 cu cm/mol for the cases examined, would produce unreasonably high temperature at the bottom of the mantle (greater than 6000 K) and superadiabatic gradients, especially in the lower mantle. Radiogenic heating plays a profound role in controlling dynamically mantle temperatures. Present values for the averaged mantle heat production would yield objectionably high temperatures in the lower mantle.

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