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LaTeX Math Inline
bodyt

Astronomic time

LaTeX Math Inline
bodyz(l)

Pipeline trajectory TVDss

LaTeX Math Inline
bodyj_z(x,y)

True vertical component of Regional Earth's heat flux

(usually vertical распределение вертикальной проекции регионального теплового потока из недр Земли на заданной глубине 

LaTeX Math Inline
bodyz
(обычно
LaTeX Math Inline
body--uriencoded--j_e z = 25 \div 55 \ mW/m^2m%5e2
)




Assumptions




Equations

Below Neutral Temperature LayerAbove Neutral Temperature Layer

Approximations


LaTeX Math Block
anchorT_g
alignmentleft
T_g(x,y,z) = T_{ref}(x,y) + \int_{z_{ref}}^z G_T(x,y,z) dz



LaTeX Math Block
anchor
G
T_
T
z
alignmentleft
G_
T(t, z) =
\frac{d
 T_
g
{srf}
{d
 
z}=
+ \frac{j_z}{\lambda_e} (z-z_{srf}) + T_A \, \exp \bigg[ \, {(z_{srf}-z}) \sqrt{\frac{\pi}{a_e \, \delta_T}} \, \bigg] \, \cos \bigg[  \, 2 \pi \frac{t - t_{min}}{\delta_T} + (z_{srf} -z) \sqrt {\frac{\pi}{a_e \, \delta_T}} \, \bigg]



LaTeX Math Block
anchorG_T
alignmentleft
G_T(z) =\frac{d T_g}{d z}= \frac{j_z}{\lambda_e}



where

где

LaTeX Math Inline
bodyz_s

TVDss of the Earth's surface

LaTeX Math Inline
bodyT_{srf}

Annual average surface temperature based on weather reports

LaTeX Math Inline
bodyT_A

Annual average surface temperature variation based on weather reports

LaTeX Math Inline
body\delta_T

Temperature variation cycle (usually 

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

LaTeX Math Inline
bodyt_{min}

Temperature variation cycle shift (time moment of minimal temperature with respect to astronomic midnight 0:00)

LaTeX Math Inline
bodya_e = \frac{\lambda_e}{\rho_e \, c_e}

Rock temperature conductivity

LaTeX Math Inline
body\rho_e

Rock density

LaTeX Unit
bodyc_e

Rock specific volumetric heat capacity at constant pressure


See Also

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Geology 

Petroleum Geology ][ Geological Model (GM) ][ Geothermal Temperature Profile ]

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