Mathematics – Logic
Scientific paper
Jan 1998
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1998stin...0070499h&link_type=abstract
Technical Report, LPSC Dept. of Geological Sciences
Mathematics
Logic
Kreep, Moon, Lunar Evolution, Lunar Geology, Depth, Thermal Analysis, Crystallization, Radioactivity, Conductive Heat Transfer, Lunar Maria, Magma, Oceans, Radiogenic Materials
Scientific paper
The canonical view of the magma ocean is of a monotonically cooling large magma body perhaps enveloping the entire Moon, which solidified within about 100 my of the formation of the Moon. This model is consistent with W-Hf Sm-Nd isotope data, the very old ages of FAN and some magnesian-suite norites and troctolites and the model ages for KREEP. Recently, Korotev and Wieczorek and Phillips have argued that the crystallization of the last dregs of the magma ocean was not only prolonged but large amounts of radiogenic heating resulted in the remelting and dissolution of mafic cumulates by the UrKREEP liquid. These melts are believed to be parent liquids to the magnesian-suite troctolites because they account for the combination of high contents of incompatible trace elements and the very refractory major element composition. This model requires that the heat budget changes from one that cools the magma ocean to one that initiates reheating. About the only way to reverse this cooling trend is to segregate the magma ocean under some portions of the crust. For example, if the residual liquids are locally doubled in thickness the surface cooling is reduced thus reversing the cooling tend. By mass balance some portions of the magma ocean would be thinned and thereby would experience an accelerated cooling.accelerated cooling. We have examined the thermal history of the upper Moon. We formulate models of radioactive heating and conductive cooling to examine the possible role of a thick KREEP-rich layer on lunar regional thermal evolution. The models treat heat transfer by conduction in a spherical geometry with a KREEP layer containing a prescribed rate of radiogenic heating. The region of thick KREEP presumably exists only within the Imbrium-Procellarum region of the Moon. The spherical model is a reasonable representation of this case since the lateral dimensions of the region are large compared to its depth. The edges of the thick KREEP region which are not treated explicitly in this model will be small compared to the size of the region- As a basis for discussion we consider a 10km thick KREEP layer at the bottom of a 50km thick crust. The crust is capped with a 3km thick brecciated regolith layer in which the conductivity is reduced by a factor of ten. Within the layer we examine heating rates that are multiples of the rate radiogenic heating due to chondritic abundances of U and Th.
Hess Paul C.
Parmentier Marc E.
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