Ratio of field-wide Cumulative oil production
| LaTeX Math Inline |
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| body | --uriencoded--Q%5e%7B\uparrow%7D_O |
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to field-wide
Cumulative water injection | LaTeX Math Inline |
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| body | --uriencoded--Q_%7BWI%7D%5e%7B\downarrow%7D |
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:
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{\rm ΣPIR} = \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 Instantaneous Voidage Replacement Ratio (IVRR) as:
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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] } =
\frac{1}{\rm IVRR} \cdot \frac{1}{{\rm WOR} + \, \left[ \frac{B_o}{B_w} + \frac{B_g}{B_w} \, ( {\rm GOR} - R_s) \right] } |
(see
| LaTeX Math Block Reference |
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| anchor | VRR_PIR |
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| page | Instantaneous Voidage Replacement Ratio = IVRR |
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for derivation)
See Also
Petroleum Industry / Upstream / Production / Subsurface Production / Field Study & Modelling / Production Analysis / Waterflood Diagnostics
[ Instantaneous PIR ]
