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The qOW plotis based on the following correlation between oil production rate and water production rate:

LaTeX Math Block
anchorqOW
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q_W = a \, \cdot q_O + b

where

LaTeX Math Block
anchora
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a = J^{-1}_O \cdot ( J_{1W} + J_{2W})
LaTeX Math Block
anchorb
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b = J_{2W} \cdot (p^*_2 - p^*_1)

where


LaTeX Math Inline
bodyq_W

water production rate

LaTeX Math Inline
bodyq_O

oil production rate

LaTeX Math Inline
body--uriencoded--p%5e*_1

formation pressure in oil pay reservoir


LaTeX Math Inline
body--uriencoded--J_%7B1W%7D
water productivity index of oil pay reservoir


LaTeX Math Inline
body--uriencoded--J_%7B1O%7D
oil productivity index of oil pay reservoir

LaTeX Math Inline
body--uriencoded--p%5e*_2

formation pressure water reservoir

LaTeX Math Inline
body--uriencoded--J_%7B2W%7D

water productivity index of oil pay reservoir


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