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In practice the constant rate production can only be maintained for wells with BHP

LaTeX Math Inline
bodyp_{wf}
   being    being above critical value 
LaTeX Math Inline
bodyp_{wf,c}
 at which pump is operational:

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and the actual liquid production rate starts declining linearly with formation pressure::

LaTeX Math Block
anchorq_L_J
alignmentleft
q_L(t) = J \cdot ( p_e(t) - p_{wf,c} )

In case formation pressure in producer receives a support and gets high enough to make  

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anchorq_L_J
 estimation equal to original pump setting 
LaTeX Math Inline
bodyq^{\uparrow}_{LL}
 then liquid production rate gets back to
LaTeX Math Block Reference
anchorq_L
.

See Also

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Petroleum Industry / Upstream / Subsurface E&P Disciplines / Well Testing (WT) / Flowrate Testing / Flowrate

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Surface flowrates ] [ Oil surface flowrate ] [ Gas surface flowrate ] [ Water surface flowrate ] 

Sandface flowrates ] [ Oil sandface flowrate ] [ Gas sandface flowrate ] [ Water sandface flowrate ]  [ Total sandface flowrate ]Constant pressure production: pwf = const ]