Open AccessA reinterpretation of the linear heat flow and heat production relationship for the exponential model of the heat production in the crust
Author(s) -
Singh Rishi Narain,
Negi Janardan G.
Publication year - 1979
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.1979.tb06787.x
Subject(s) - logarithm , exponential function , heat flow , heat generation , flow (mathematics) , crust , production (economics) , reinterpretation , mechanics , mathematics , heat equation , geology , thermodynamics , mathematical analysis , physics , geophysics , thermal , macroeconomics , acoustics , economics
Summary. The conventional assumption of the equality of the slope of the empirical linear heat flow/heat generation relation and the logarithmic decrement in the exponential model of the heat production is not valid. The rigorous analysis of the heat flow equation shows that, with the increase of the magnitude of the slope, the invalidity becomes significant. In the Indian shield region, the available estimate of the slope is 14.8 km, while the corresponding logarithmic decrement value is 17.2 km, However, it may be emphasized that in the step model the slope is rightly interpreted as the thickness of the radioactive layer.