@wikipedia
Motivation
In some specific subsurface applications which require the knowledge of subsurface temperature distributions the assumptions of constant areal geothermal profile are not valid and the problem requires a proper 3D modelling.
Outputs
Inputs
| Local Calendar Time | | LaTeX Math Inline |
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body | \delta T_A | Annual average surface temperature variation based on weather reports |
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| |
| Period of annual temperature variation cycle: | LaTeX Math Inline |
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| body | --uriencoded--A_T = 1 \, %7B\rm year%7D |
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|
| | LaTeX Math Inline |
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| body | --uriencoded--%7B\bf j%7D(%7B\bf r%7D) |
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|
| Earth's Heat Flux |
| \delta t_A | Time shift of annual highest temperature with respect to January 1 | | Surface Local annual average surface temperature based on weather reports |
| \delta T_D | Daily average surface temperature variation based on weather reports | | LaTeX Math Inline |
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| body | --uriencoded--a_%7Ben%7D |
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|
| Local average Thermal diffusivity of the soil between Earth's surface and NTL | | Period of daily temperature variation cycle: | LaTeX Math Inline |
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body | --uriencoded--A_D = 1 | , %7B\rm day%7D| LaTeX Math Inline |
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| body | --uriencoded--\lambda_e(%7B\bf r%7D) |
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|
| Subsurface Thermal Conductivity profile as function of position vector | | Time shift of daily highest temperature with respect to Midnight 00:00 |
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| LaTeX Math Inline |
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| body | --uriencoded--\delta T_%7B\rm cut%7Da_%7Be%7D(%7B\bf r%7D) |
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|
| Subsurface Thermal diffusivity profile as function of position vectorTemperature measurement threshold (usually | LaTeX Math Inline |
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| body | --uriencoded--\delta T_%7B\rm cut%7D = 0.01 \, %7B\rm °C%7D |
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|
) |
where
| |
| TVDss of the Earth's surface in a given location. In case the Earth's surface is at sea level then |
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