The steady state thermal structure of eroding orogenic belts and accretionary prisms

Mathematics – Logic

Scientific paper

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Deposition, Erosion, Heat Transfer, Orography, Structural Properties (Geology), Geological Faults, Planetary Evolution, Plates (Tectonics), Subduction (Geology)

Scientific paper

An analytical solution to the problem of temperature distribution in orogenic belts is derived. The resulting expression shows that surface erosion rate, basal accretion rate, and upper plate heat production are extremely important in controlling the temperature and metamorphic history of orogenic belts and accretionary prisms, especially where upper plate thickness h is large. For sufficiently large magnitudes of upper plate heat production or sufficiently rapid erosion rates, inverted geothermal gradients are produced in the lower part of the upper plate and upper part of the lower plate, although it is difficult to produce inverted geotherms where h is 20 km or less. The occurrence of inverted metamorphism in the Himalayas and the thermal structure of oceanic subduction zones where the rate of subduction is rapid are examined as examples.

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