The qOW plotis based on the following correlation between oil production rate and water production rate:
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| q_W = a \, \cdot q_O + b |
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| a = J^{-1}_O \cdot ( J_{1W} + J_{2W}) |
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| b = J_{2W} \cdot (p^*_2 - p^*_1) |
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where
| | water production rate | | oil production rate |
| LaTeX Math Inline |
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| body | --uriencoded--p%5e*_1 |
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| formation pressure in oil pay reservoir | | LaTeX Math Inline |
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| body | --uriencoded--J_%7B1W%7D |
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| water productivity index of oil pay & water reservoir | | LaTeX Math Inline |
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| body | --uriencoded--J_%7B1O%7D |
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| oil productivity index of oil pay reservoir |
| LaTeX Math Inline |
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| body | --uriencoded--p%5e*_2 |
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| formation pressure water reservoir | | LaTeX Math Inline |
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| body | --uriencoded--J_%7B2W%7D |
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| water productivity index of oil pay reservoirof water reservoir | |
For the case of water reservoir pressure is higher than that of oil:
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| body | --uriencoded--b > 0 \Leftrightarrow p%5e*_2 > p%5e*_1 |
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. In practical applications, the equation
| LaTeX Math Block Reference |
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is often considered through the
weighted average values:
...
