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where 

LaTeX Math Inline
body\delta p^k = p_e^k - p_{wf}^k
 is drawdown, 
LaTeX Math Inline
bodyp_e^k
 – formation pressure in 
LaTeX Math Inline
bodyk
-th grid layer, 
LaTeX Math Inline
bodyp_{wf}^k
 – bottom-hole pressure across 
LaTeX Math Inline
bodyk
-th grid layer,
LaTeX Math Inline
bodyT_r^k
 – remote reservoir temperature of  
LaTeX Math Inline
bodyk
-th grid layer.

The

LaTeX Math Inline
bodyl
-axis is pointing downward along hole with 
LaTeX Math Inline
body(k-1)
-th grid layer sitting above the
LaTeX Math Inline
bodyk
-th grid layer.

If the flowrate is not vanishing during the stationary lift (

LaTeX Math Inline
body\sum_{a = \{w,o,g \}} |q_\alpha^{k-1}| > 0
) then  
LaTeX Math Inline
bodyT^{k-1}
 can be calculated iteratively from previous values of the wellbore temperature 
LaTeX Math Inline
bodyT^k
 as:

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