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Motivation



Outputs

LaTeX Math Inline
bodyT_e(t, l)

along-hole geothermal temperature profile

Inputs



LaTeX Math Inline
bodyz(l)

Pipeline trajectory TVDss

LaTeX Math Inline
bodyj_z(x,y)

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

LaTeX Math Inline
bodyz
(обычно
LaTeX Math Inline
bodyj_e = 25 \div 55 \ mW/m^2
)




Assumptions

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Equations


Above Neutral Temperature Layer

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




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