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 aquifer is based on the following equation:
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For the case of aquifer pressure is higher than that of 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 aquifer pressure is lower than that of petroleum reservoir:
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| body | --uriencoded--b < 0 \Leftrightarrow p%5e*_2 < p%5e*_1 |
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| LaTeX Math Block |
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<q_W>\langle q_W \rangle = a \, \cdot <q_O> \langle 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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| LaTeX Math Block |
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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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