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When gas injection is not present (
| LaTeX Math Inline |
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| body | --uriencoded--q%5e%7B\downarrow%7D_%7BGI%7D = 0 |
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) the alternative form of
IVRR equation can be derived from
| LaTeX Math Block Reference |
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by dividing by :
| LaTeX Math Block |
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| anchor | VRR_PIR |
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| alignment | left |
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{\rm IVRR} = \frac{q^{\downarrow}_{WI}}{q^{\uparrow}_W + \left[ \frac{B_o}{B_w} + \frac{B_g}{B_w} \, ( {\rm GOR} - R_s) \right] \, q^{\uparrow}_O } =
\frac{q^{\downarrow}_{WI}}{q^{\uparrow}_O} \cdot \frac{1}{{\rm WOR} + \left[ \frac{B_o}{B_w} + \frac{B_g}{B_w} \, ( {\rm GOR} - R_s) \right] } =
\frac{1}{\rm IPIR} \cdot \frac{1}{\frac{Y_w}{1-Y_w} + \left[ \frac{B_o}{B_w} + \frac{B_g}{B_w} \, ( {\rm GOR} - R_s) \right] } |
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