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Ratio of the variation of the field-average formation pressure in producers to the total field  cumulative water injection 

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body--uriencoded--Q_%7BWI%7D
 for the same time period of time 
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body\delta t
:

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{\rm RIR}(\delta t) = \frac{ \left<p_e(t+\delta t) \right>_{\rm PROD} - \left<p_e(t)\right>_{\rm PROD}}{Q^{Q\downarrow}_{WI}(t+\delta t) -  QQ^{\downarrow}_{WI}(t) }


It normally makes sense for the matured reservoirs with pressure depletion and indicates how efficiently waterflood supports the recovery of formation pressure in producers.

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