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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{A}{q_t} \cdot M_{ro} \cdot \left[ \frac{\partial P_c}{\partial r} + (\rho_w-\rho_o) \cdot g \cdot \sin \alpha \right] |
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It provides a good estimate when the If drawdown is much higher than delta pressure from gravity and capillary effects .then
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simplifies to:| LaTeX Math Block |
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{\rm Y_{wm}} = \frac{1}{1 - \frac{M_{ro}}{M_{rw}} \cdot \frac{B_w}{B_o} } |
The model
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can also be used in gross field
production analysis assuming homogeneous reservoir saturation:
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