Motivation

Outputs

$\begin{array}{l}T_e(t, l)\end{array}$

along-hole geothermal temperature profile

Inputs

		$\begin{array}{l}z(l)\end{array}$	Pipeline trajectory TVDss
$\begin{array}{l}j_z(x,y)\end{array}$	vertical распределение вертикальной проекции регионального теплового потока из недр Земли на заданной глубине $\begin{array}{l}z\end{array}$ (обычно $\begin{array}{l}j_e = 25 \div 55 \ mW/m^2\end{array}$ )

Assumptions

Inputs	Outputs

Equations

Approximations

(1)	$\begin{array}{l}\displaystyle T_g(x,y,z) = T_{ref}(x,y) + \int_{z_{ref}}^z G_T(x,y,z) dz\end{array}$

(2)	$\begin{array}{l}\displaystyle G_T(z) =\frac{d T_g}{d z}= \frac{j_z}{\lambda_e}\end{array}$

References

Kasuda, T., and Archenbach, P.R. "Earth Temperature and Thermal Diffusivity at Selected Stations in the United States", ASHRAE Transactions, Vol. 71, Part 1, 1965.

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Geothermal Modelling