@wikipedia
Motivation
Outputs
t, \, x, \, y, \, z) | spatial geothermal temperature distribution |
along-hole geothermal temperature profile Inputs
| Astronomic time |
| LaTeX Math Inline |
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| body | --uriencoded--\lambda( |
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|
x, \, y, \, z | Rock thermal conductivity |
| True vertical component of Regional Earth's heat flux (usually | LaTeX Math Inline |
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| body | --uriencoded--j_z = 25 \div 55 \ mW/m%5e2 |
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|
) |
Assumptions
Equations
| Below Neutral Temperature Layer | Above Neutral Temperature Layer |
| LaTeX Math Block |
|---|
| T_g(x,y,z) = T_n(x,y) + \int_{z_n}^z G_T(x,y,z) dz |
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| LaTeX Math Block |
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| T(t, x, y,z) = T_s + \frac{j_z(x,y)}{\lambda_e} (z-z_s) + T_A \, \exp \left[ \, {(z_s-z}) \sqrt{\frac{\pi}{a_e \, \delta_T}} \, \right] \, \cos \left[ \, 2 \pi \frac{t - t_{min}}{\delta_T} + (z_s -z) \sqrt {\frac{\pi}{a_e \, \delta_T}} \, \right]
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|
| LaTeX Math Block |
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| G_T(x, y, z) =\frac{d T_g}{d z}= \frac{j_z(x,y,z)}{\lambda_e} |
|
|
where
где
| TVDss of the Earth's surface |
| Annual average surface temperature based on weather reports |
| Annual average surface temperature variation based on weather reports |
| Temperature variation cycle (usually | LaTeX Math Inline |
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| body | --uriencoded--\delta t = 1 \, %7B\rm year%7D |
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) |
| Temperature variation cycle shift (time moment of minimal temperature with respect to astronomic midnight 0:00) |
| LaTeX Math Inline |
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| body | a_e = \frac{\lambda_e}{\rho_e \, c_e} |
|---|
|
| Rock temperature conductivity |
| Rock density |
| Rock specific volumetric heat capacity at constant pressure |
See Also
...
Geology / Geothermal Temperature Field
...
