A proxy model of watercut YW in producing well with reservoir saturation
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| body | s=\{ s_w, \, s_o, \, s_g \} |
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and reservoir pressure
:
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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] |
where
If capillary effects are not high
or saturation does not vary along the streamline substantially
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| body | \displaystyle \frac{\partial s_w}{\partial r} \rightarrow 0 |
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, then
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| body | \displaystyle \frac{\partial P_c}{\partial r} = \dot P_c \cdot \frac{\partial s_w}{\partial r} \approx 0 |
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.
If flow is close to horizontal
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| body | \sin \alpha \rightarrow 0 |
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then gravity effects are vanishing too:
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| body | (\rho_w-\rho_o) \cdot g \cdot \sin \alpha \approx 0 |
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.
In these cases
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simplifies to:
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| anchor | Ywsimple |
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| alignment | left |
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{\rm Y_{Wm}} = \frac{1}{1 + \frac{M_{ro}}{M_{rw}} \cdot \frac{B_w}{B_o} } = \frac{1}{1 + \frac{k_{ro}}{k_{rw}} \cdot \frac{\mu_w }{\mu_o } \cdot \frac{B_w}{B_o}} |
The models
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and
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can also be used in
production analysis assuming homogeneous reservoir
water saturation :
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s_w(t) = s_{wi} + (1-s_{wi}) \cdot \rm E_{Dow}(t) = s_{wi} + (1-s_{wi}) \cdot \rm RFO(t)/E_S |
where
See Also
Petroleum Industry / Upstream / Subsurface E&P Disciplines / Well Testing (WT) / Flowrate Testing / Flowrate / Production Water cut (Yw)
[ WOR ] [ Watercut Diagnostics ] [ Watercut Correlation @model ]
