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Productivity Index for injection wells:

LaTeX Math Block
anchor1
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JJ^{\downarrow} = \frac{q^{q\downarrow}}{|p_{wf} - p_e|}

where

LaTeX Math Inline
bodyqq^{\downarrow}

flowrate (the specification of which may differ, see below)

LaTeX Math Inline
bodyp_e

formation pressure

LaTeX Math Inline
bodyp_{wf}

bottom hole pressure at sandface

...

Subsurface E&P Disciplines / Production Technology 

[ Productivity Index ]