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LaTeX Math Block
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J = \frac{q}{|p_e - p_{wf}|}

where

LaTeX Math Inline
bodyq

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

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Productivity Index of producerInjectivity Index of injector


LaTeX Math Block
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J^{\uparrow} = \frac{q^{\uparrow}}{p_e - p_{wf}}



LaTeX Math Block
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J^{\downarrow} = \frac{q^{\downarrow}}{p_{wf} - p_e}


LaTeX Math Inline
bodyq^{\uparrow}

production rate

LaTeX Math Inline
bodyq^{\downarrow}

injection rate


The PI concept also applies to aquifer inflow withexpansion:

LaTeX Math Block
anchorQJPUF
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J^{\downarrow} = \frac{q^{\downarrow}}{p(t) - p_{AQ}(t)}

where

LaTeX Math Inline
bodyq

volumetric water inflow rate from aquifer into hydrocarbon reservoir

LaTeX Math Inline
bodyp(t)

formation pressure in hydrocarbon reservoir

LaTeX Math Inline
bodyp_{AQ}(t)

formation pressure in aquifer



See Also

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Petroleum Industry / Upstream / Production / Subsurface Production / Well & Reservoir Management

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