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A variational approach to model the depth dependence of radiogenic heat in the crust
Author(s) -
Singh Rishi N.,
Negi Janardan G.
Publication year - 1980
Publication title -
geophysical research letters
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 2.007
H-Index - 273
eISSN - 1944-8007
pISSN - 0094-8276
DOI - 10.1029/gl007i003p00209
Subject(s) - radiogenic nuclide , crust , geology , heat flux , quadratic equation , exponential function , geophysics , thermodynamics , heat transfer , physics , mathematics , mantle (geology) , mathematical analysis , geometry
A quadratic functional criterion for the mathematical modelling of crustal radiogenic heat and heat flux is utilised. Following the classical variational analysis it is inferred that the exponential law of the depth dependence of radiogenic heat is the optimal model.