The general form of the Water-Oil Ratio (WOR) regerssion is:
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WOR = WOR_0 + \mbox{Regression}(\{q_k\}, \{Q_k\}), \quad k=[1..N] |
Power regression
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WOR = WOR_0 + \sum_{k=1..N} Q_{O,k} \cdot \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] |
Pade regression
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WOR = WOR_0 + \frac {Q_{O} \cdot \sum_{k=1..N} \big[ a_{O,k} \, Q_{O,k} + a_{W,k} \, Q_{W,k} + b_{O,k} \, q_{O,k} + b_{W,k} \, q_{W,k} \big] }{1 + \sum_{k=1..N}\big[ c_{O,k} \, Q_{O,k} + c_{W,k} \, Q_{W,k} + d_{O,k} \, q_{O,k} + d_{W,k} \, q_{W,k} \big] } |
The general form of the watercut YW regression is:
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