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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
ΣPIR 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 Voidage Replacement Ratio = IVRR |
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for derivation)
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