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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

This is a very simplistic proxy-model of reservoir saturation under an idealistic waterflood conditions and may mislead in specific cases.

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