The qOW plotis based on the following correlation between oil production rate and water production rate:
(1) | q_W = a \, \cdot q_O + b |
where
(2) | a = J^{-1}_O \cdot ( J_{1W} + J_{2W}) |
(3) | b = J_{2W} \cdot (p^*_2 - p^*_1) |
where
q_W | water production rate | q_O | oil production rate | ||
p^*_1 | formation pressure in oil pay reservoir | water productivity index of oil pay reservoir | oil productivity index of oil pay reservoir | ||
p^*_2 | formation pressure water reservoir | J_{2W} | water productivity index of oil pay reservoir |
In practical applications, the equation (1) is often considered through the averaged value:
(4) | <q_W> = a \, \cdot <q_O> + \, b |
where
<q_W>, \ <q_O> | are weighted average of q_W and q_O |
There are different ways to calculate weighted average of the dynamic variable, for example:
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See Also
Petroleum Industry / Upstream / Production / Subsurface Production / Field Study & Modelling / Production Analysis / Watercut Diagnostics