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Y_wW=\frac{q^{q\uparrow}_W}{qq^{\uparrow}_L} |
It relates to Water-Oil Ratio (WOR) as:
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Y_wW=\frac{1}{1+qq^{\uparrow}_O/qq^{\uparrow}_W}=\frac{{\rm WOR}}{1+{\rm WOR}} |
The simplest way to model the in production watercut YwW in a given well is the Watercut (Yw) Fractional Flow @model:
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{\rm Y_{wmWm}} = \frac{1}{1 + \frac{M_{ro}}{M_{rw}} \cdot \frac{B_w}{B_o} } = \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.
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The model
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s_w(t) = s_{wi} + (1-s_{wi}-s_{or}) \cdot \rm RF(t)/E_S |
This is a very simplistic proxy-model of reservoir saturation under an idealistic waterflood conditions and may mislead in specific cases.
The above model is very idealistic and has very limited applications.
In most practical cases it can only match the production watercut at late stage of the field lifecycle when it develops a fair waterflood sweep pattern and does not have thief production.
The most popular short-term production watercut models are given by the brute-force correlation with the flowartes Watercut Correlation @model.
See Also
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Petroleum Industry / Upstream / Subsurface E&P Disciplines / Well Testing (WT) / Flowrate Testing / Flowrate
[ WOR ][ Well & Reservoir Surveillance [ Watercut Diagnostics ] [ Watercut Fractional Flow @model ] [ Watercut Correlation @model ]
[ Surface flowrates ] [ Oil surface flowrate ] [ Gas surface flowrate ] [ Water surface flowrate ] [ Watercut (Yw) Fractional Flow @model ] [ Production Gas-Oil Ratio (GORProduction Gas-Oil Ratio (GOR) ]