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The
axis is pointing downward along hole with
th grid layer sitting above the
th grid layer.
If the flowrate is not vanishing during the stationary lift then
can be calculated iteratively from previous values of the wellbore temperature .
| Expand |
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The wellbore fluid velocity can be expressed thorugh the volumetric flow profile and tubing/casing cross-section area as:| LaTeX Math Block |
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| u_\alpha = \frac{q_\alpha}{\pi r_f^2} |
so that | LaTeX Math Block |
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| \bigg( \sum_{a = \{w,o,g \}} \rho_\alpha \ c_{p \alpha} \ \mathbf{u}_\alpha \bigg) \ \nabla T
= \frac{\delta E_H}{ \delta V \delta t} |
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