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LaTeX Math Block
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{\rm PIR} = \frac{q_O}{q_{WI}}


It measures how efficiently the injection efficiently waterflood supports the oil production.


The PIR can be expressed through the current VRR as:

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(see 

LaTeX Math Block Reference
anchorVRR_PIR
pageVoidage Replacement Ratio (VRR or Instantenous VRR)
for derivation)