Ratio of field-wide Cumulative cumulative oil production
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| body | --uriencoded--Q%5e%7B\uparrow%7D_O |
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to field-wide Cumulative to the 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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It measures how efficiently waterflood supports the oil production and represent one of the key Waterflood Diagnostics.
When gas injection is not present (
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| body | --uriencoded--Q%5e%7B\downarrow%7D_%7BGI%7D = 0 |
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) the ΣPIRThe PIR can be related to the
current Instantaneous Cumulative Voidage Replacement Ratio (IVRRΣVRR) as as:
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{\rm PIRΣPIR}= \frac{1}{\rm IVRRΣVRR} \cdot \frac{1-YΣY_w}{YΣY_w + (1-YΣY_w) \, \left[ \frac{B_o}{B_w} + \frac{B_g}{B_w} \, ( {\rm GORΣGOR} - R_s) \right] } =
\frac{1}{\rm IVRRΣVRR} \cdot \frac{1}{{\rm WORΣWOR} + \, \left[ \frac{B_o}{B_w} + \frac{B_g}{B_w} \, ( {\rm GORΣGOR} - R_s) \right] } |
(see
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| anchor | VRR_PIR |
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| page | Instantaneous Cumulative Voidage Replacement Ratio = IVRRΣVRR |
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for derivation)
See Also
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Petroleum Industry / Upstream / Production / Subsurface Production / Field Study & Modelling / Production Analysis / Waterflood Diagnostics
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