Abstract
The interconnection between the dissipation of radiogenic 4He and 40Ar from the Earth's crust and mantle and the Earth's thermal evolution is considered. A model coupling the 4He and 40Ar dissipation from the mantle with the zone melting in the upper mantle is proposed. The input functions in analytic form for 4He and 40Ar flows into the atmosphere are followed by the solution of the Earth's thermal evolution. The solutions are given for cases describing multiple mantle melting under continents and, perhaps, single melting under the oceans. These solutions are in good agreement with the 40Ar economy in the atmosphere and the flow of modern 4He into the atmosphere. Probably about 60% of the modern 40Ar abundance dissipated to the atmosphere during the first melting cycle.
