
Analytical solution of a basic geothermal equation
Author(s) -
Wilhelm H.
Publication year - 1994
Publication title -
geophysical journal international
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.302
H-Index - 168
eISSN - 1365-246X
pISSN - 0956-540X
DOI - 10.1111/j.1365-246x.1994.tb00149.x
Subject(s) - geothermal gradient , thermal conductivity , heat equation , heat transfer , thermodynamics , steady state (chemistry) , thermal , thermal conduction , materials science , geology , mechanics , physics , mathematics , mathematical analysis , geophysics , chemistry
SUMMARY Analytical solutions of the 1‐D steady‐state conductive heat transfer equation for a separable temperature and depth dependence of the thermal conductivity and for an arbitrary heat‐production rate are described.