The plot of water production rate(along y-axis) against the oil production rate (along x-axis).
It can be used in express water cut diagnostics for express Watercut Diagnostics of thief water production.
The mathematical model of the thief water production from rater reservoir aquifer is based on the following equation:
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| q_W = a \, \cdot q_O + b |
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| a = J^{-1}_{1O} \cdot ( J_{1W} + J_{2W}) |
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| b = J_{2W} \cdot (p^*_2 - p^*_1) |
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where
oil pay oil & water oil pay water reservoir in aquifer | LaTeX Math Inline |
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body | --uriencoded--J_%7B2W%7D |
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| water productivity index of |
water reservoir
For the case of water reservoir aquifer pressure is higher than that of oil+water petroleum reservoir:
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body | --uriencoded--b > 0 \Leftrightarrow p%5e*_2 > p%5e*_1 |
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For the case of water reservoir aquifer pressure is lower than that of oil+water petroleum reservoir:
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body | --uriencoded--b < 0 \Leftrightarrow p%5e*_2 < p%5e*_1 |
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<q_W>\langle q_W \rangle = a \, \cdot \langle <q_O> q_O \rangle + \, b |
where
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body | <q_W>\langle q_W \rangle, \ <q_O>\langle q_O \rangle |
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| are weighted average of and |
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| <\langle A >\rangle_t \ = \frac{1}{t} \int_o^t A(t) \, dt |
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| <A>\langle A \rangle_q \ = \frac{1}{Q(t)} \int_o^t A(t) \, q(t) \, dt |
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See Also
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Petroleum Industry / Upstream / Production / Subsurface Production / Field Study & Modelling / Production Analysis / Watercut Diagnostics
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