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The plot of water production rate

LaTeX Math Inline
bodyq_W
(along y-axis) against the oil production rate
LaTeX Math Inline
bodyq_O
 (along x-axis).


It can be used in express water cut diagnostics of thief water production.

The mathematical model of the thief water production from rater reservoir is based on the following equationqOW plotis based on the following correlation between oil production rate and water production rate:

LaTeX Math Block
anchorqOW
alignmentleft
q_W = a \, \cdot q_O + b
LaTeX Math Block
anchora
alignmentleft
a = J^{-1}_{1O} \cdot ( J_{1W} + J_{2W})
LaTeX Math Block
anchorb
alignmentleft
b = J_{2W} \cdot (p^*_2 - p^*_1)

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