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The general form of the Water-Oil Ratio (WOR) regression is:

(1) WOR = WOR_0 + Q_O \cdot \mbox{Regression}(\{q_k\}, \{Q_k\}), \quad k=[1..N]

Watercut Power Regression

(2) WOR = WOR_0 + Q_{O} \cdot \sum_{k=1..N} \big[ a_{O,k} \, Q_{O,k}^{gQ_{O,k}} + a_{W,k} \, Q_{W,k}^{gQ_{W,k}} + b_{O,k} \, q_{O,k}^{gq_{O,k}} + b_{W,k} \, q_{W,k}^{gq_{W,k}} \big]

Watercut Rational Regression

(3) WOR = WOR_0 + \frac {Q_{O} \cdot \sum_{k=1..N} \big[ a_{O,k} \, Q_{O,k}^{gQ_{O,k}} + a_{W,k} \, Q_{W,k}^{gQ_{W,k}} + b_{O,k} \, q_{O,k}^{gq_{O,k}} + b_{W,k} \, q_{W,k}^{gq_{W,k}} \big] }{1 + \sum_{k=1..N} \big[ c_{O,k} \, Q_{O,k}^{hQ_{O,k}} + c_{W,k} \, Q_{W,k}^{hQ_{W,k}} + d_{O,k} \, q_{O,k}^{hq_{O,k}} + d_{W,k} \, q_{W,k}^{hq_{W,k}} \big] }

Watercut  Neural Network Regression

(4) WOR = WOR_0 + Q_O \cdot \mbox{ANN}(\{Q_{O,k}\}, \{Q_{W,k}\},\{q_{O,k}\},\{q_{W,k}\}), \quad k=[1..N]

See Also


Petroleum Industry / Upstream / Subsurface E&P Disciplines / Well Testing (WT) / Flowrate Testing / Flowrate  / Production Water cut (Yw)

WOR ] Watercut Diagnostics ][ Watercut Fractional Flow @model ] 

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