Temperature bounds from heat flow data on irregular non-isothermal surfaces |
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| Authors: | Stephen P Huestis |
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| Institution: | Department of Geology, University of New Mexico, Albuquerque, New Mexico 87131, USA |
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| Abstract: | Summary. The formalism of Huestis for placing bounds on subsurface temperatures is generalized to the case of heat flow measurements on a surface which is neither flat nor isothermal. The strip extending between the surface and the depth of interest is imbedded in a larger flat strip extending to a horizontal level everywhere above the topography. Using linear programming, heat sources within and temperatures on the boundary of this simpler region are found such that the heat flow data and temperatures on the Earth's surface are fit, heat production constraints are met, and the extremal bound is achieved. |
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