Regionalized models for the thermal evolution of the earth

Mathematics

Scientific paper

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Convective Heat Transfer, Earth Mantle, Mathematical Models, Planetary Evolution, Temperature Distribution, Chemical Composition, Continents, Geochemistry, Ocean Temperature, Regions, Rheology, Temperature Dependence, Thermal Emission

Scientific paper

Several traditional models for heat loss in oceanic and continental regions are combined into a regionalized model for the thermal evolution of the earth. The present-day rate of heat loss and the geochemical estimate of the concentration of heat-producing elements are used to fix the response time of the thermally convecting mantle. The response time is used to select the most reasonable representation for mantle convection in terms of the sensitivity of viscosity to temperature and layering versus mantle-wide circulation. A difficulty was found in the models in that they predict widespread melting at shallow depth in the early stages of earth history but do not address how melting affects or alters heat transfer mechanisms.

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