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Ratio of water production rate at surface 

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bodyq_W
to liquid production rate at surface
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bodyq_L = q_O+q_W
:

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Y_w=\frac{q_W}{q_L}

 

It relates to Water-Oil Ratio (WOR) as:

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Y_w=\frac{1}{1+q_O/q_W}=\frac{{\rm WOR}}{1+{\rm WOR}}

 

The simplest way to model the watercut in a given well is the Water Fractional Flow:

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anchorFF
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{\rm Y_{wm}} = \frac{1}{1 + \frac{K_{ro}}{K_{rw}} \cdot \frac{ \mu_w}{\mu_o}  \cdot \frac{B_w}{B_o} }

which provides a good estimate when the drawdown is much higher than delta pressure from gravity and capillary effects.

Model 

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 requires accurate input on reservoir saturation.


The model 

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 can also be used in gross field production analysis and in this case the average reservoir saturation can be assumed homogeneous: 

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s_w(t) = s_{wi} + (1-s_{wi}-s_{or}) \cdot \rm RF(t)/E_S