Open AccessTemperature bounds from heat flow data on irregular non‐isothermal surfaces
Author(s) -
Huestis Stephen P.
Publication year - 1981
Publication title -
geophysical journal of the royal astronomical society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.302
H-Index - 168
eISSN - 1365-246X
pISSN - 0016-8009
DOI - 10.1111/j.1365-246x.1981.tb02706.x
Subject(s) - isothermal process , heat flow , surface (topology) , geology , mechanics , heat transfer , flow (mathematics) , isothermal flow , geometry , thermodynamics , mathematics , physics , thermal , open channel flow
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.