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{\rm Y_{wm}} = \frac{1 +\epsilon_g}{1 - \frac{M_{ro}}{M_{rw}} \cdot \frac{B_w}{B_o} }, \quad \epsilon_g = \frac{\partial P_c}{\partial r} \frac{A}{q_t} \cdot M_{ro} \cdot \left[ \frac{\partial P_c}{\partial r} + (\rho_w-\rho_o) \cdot g \cdot \sin \alpha \right] |
where
| Relative oil mobility |
| Oil formation volume factor |
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| Relative water mobility |
| Water formation volume factor |
| Current formation pressure | ||||||||||||||||
| cross-sectional flow area |
It provides a good estimate when the drawdown is much higher than delta pressure from gravity and capillary effects.
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