Motivation
Outputs
T_e(t, \, x, \, y, \, z) | along-hole geothermal temperature profile |
Inputs
t | Astronomic time |
\lambda(x, \, y, \, z) | Rock thermal conductivity |
j_z(x,y) | True vertical component of Regional Earth's heat flux (usually j_z = 25 \div 55 \ mW/m^2) |
Assumptions
Equations
Below Neutral Temperature Layer | Above Neutral Temperature Layer | ||||
|
| ||||
|
where
где
z_s | TVDss of the Earth's surface |
T_{srf} | Annual average surface temperature based on weather reports |
T_A | Annual average surface temperature variation based on weather reports |
\delta_T | Temperature variation cycle (usually \delta t = 1 \, {\rm year}) |
t_{min} | Temperature variation cycle shift (time moment of minimal temperature with respect to astronomic midnight 0:00) |
a_e = \frac{\lambda_e}{\rho_e \, c_e} | Rock temperature conductivity |
\rho_e | Rock density |
c_e | Rock specific volumetric heat capacity at constant pressure |
See Also
Geology / Geothermal Temperature Field
[ Geothermal Temperature Profile @model ]
References
Kasuda, T., and Archenbach, P.R. "Earth Temperature and Thermal Diffusivity at Selected Stations in the United States", ASHRAE Transactions, Vol. 71, Part 1, 1965.