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Inputs

LaTeX Math Inline
bodyt

Astronomic timeLocal Calendar Time

LaTeX Math Inline
body\delta T_A

Annual average surface temperature variation based on weather reports

LaTeX Math Inline
bodyz(l)

wellbore trajectory Measured Depth with reference to Earth's surface (

LaTeX Math Inline
bodyl=0
Wellbore trajectory. True Vertical Depth Sub-Sea (TVDss)

LaTeX Math Inline
bodyA_T

Period of annual temperature variation cycle:

LaTeX Math Inline
body--uriencoded--A_T = 1 \, %7B\rm year%7D


LaTeX Math Inline
bodyj_z
(l)
Wellbore trajectory. True Vertical Depth Sub-Sea (TVDss)True vertical component of regional Earth's Heat Flux

LaTeX Math Inline
body\delta t_A

Time shift of annual highest temperature with respect to January 1


LaTeX Math Inline
body
j
T_
z
s

Annual average surface temperature based on weather reportsTrue vertical component of regional Earth's Heat Flux

LaTeX Math Inline
body\delta T_D

Daily average surface temperature variation based on weather reports


LaTeX Math Inline
body
T_s
a_e
Average Thermal diffusivity of the soil between Earth's surface and neutral layerAnnual average surface temperature based on weather reports

LaTeX Math Inline
bodyD_T

Period of daily temperature variation cycle:

LaTeX Math Inline
body--uriencoded--A_D = 1 \, %7B\rm day%7D


LaTeX Math Inline
body
a_e
\lambda_r(l)
Rock Thermal Conductivity along-hole profileAverage Thermal diffusivity of the soil between Earth's surface and neutral layer

LaTeX Math Inline
body\delta t_D

Time shift of daily highest temperature with respect to Midnight 00:00

LaTeX Math Inline
body\lambda_r(l)

Rock Thermal Conductivity along-hole profile



LaTeX Math Inline
body--uriencoded--\delta T_%7B\rm cut%7D

Temperature measurement threshold (usually

LaTeX Math Inline
body--uriencoded--\delta T_%7B\rm cut%7D = 0.001 \, %7B\rm °C%7D
) 

where

LaTeX Math Inline
bodyl

wellbore trajectory Measured Depth with reference to Earth's surface (

LaTeX Math Inline
bodyl=0
)


Assumptions

LaTeX Math Inline
body--uriencoded--%7B \bf j%7D(x,y,z) = \%7B 0, \, 0 , \, j_z = %7B\rm const%7D \%7D

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