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{\rm Y_{wm}} = \frac{1}{1 + \frac{M_{ro}}{M_{rw}}  \cdot \frac{B_w}{B_o} }

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where

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bodyM_{ro}(s)

relative oil mobility

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bodyM_{rw}(s)

relative water mobility

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bodys

reservoir saturation

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body\{ s_w, \, s_o, \, s_g \}

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bodyB_o

Oil formation volume factor (Bo)

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bodyB_w

Water formation volume factor (Bw)


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



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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