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Ratio of field-wide oil production rate 

LaTeX Math Inline
bodyq_O
 to field-wide water injection rate 
LaTeX Math Inline
bodyq_{WI}
:

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{\rm PIR} = \frac{q^{\uparrow}_O}{q^{\downarrow}_{WI}}

It measures how efficiently waterflood supports the oil production and represent one of the key Waterflood Diagnostics.

The PIR can be related to the current IVRR as:

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anchorZ2DU0
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{\rm PIR}= \frac{1}{\rm IVRR} \cdot \frac{1-Y_w}{Y_w  + (1-Y_w) \, \left[ \frac{B_o}{B_w}  + \frac{B_g}{B_w} \, ( {\rm GOR} - R_s) \right] }

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LaTeX Math Block Reference
anchorVRR_PIR
pageInstantaneous Voidage Replacement Ratio = IVRR

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See Also

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Petroleum Industry / Upstream /  Production / Subsurface Production / Field Study & Modelling /  Production Analysis / Waterflood Diagnostics

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