A proxy model of watercut YW in producing well with reservoir saturation
| LaTeX Math Inline |
|---|
| body | s=\{ s_w, \, s_o, \, s_g \} |
|---|
|
and reservoir pressure
:
...
...
...
+ \frac{M_{ro}}{M_{rw}} \cdot \frac{B_w}{B_o} } |
|
...
| | LaTeX Math Block |
|---|
| anchor | epsilon |
|---|
| alignment | left |
|---|
| \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
It provides a good estimate when the drawdown is much higher than delta pressure from gravity and capillary effects.
If capillary effects are not high
or saturation does not vary along the streamline substantially | LaTeX Math Inline |
|---|
| body | \displaystyle \frac{\partial s_w}{\partial r} \rightarrow 0 |
|---|
|
, then | LaTeX Math Inline |
|---|
| body | \displaystyle \frac{\partial P_c}{\partial r} = \dot P_c \cdot \frac{\partial s_w}{\partial r} \approx 0 |
|---|
|
.If flow is close to horizontal
| LaTeX Math Inline |
|---|
| body | \sin \alpha \rightarrow 0 |
|---|
|
then gravity effects are vanishing too: | LaTeX Math Inline |
|---|
| body | (\rho_w-\rho_o) \cdot g \cdot \sin \alpha \approx 0 |
|---|
|
.In these cases
| LaTeX Math Block Reference |
|---|
|
simplifies to:| LaTeX Math Block |
|---|
| anchor | Ywsimple |
|---|
| alignment | left |
|---|
|
{\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 The model
| LaTeX Math Block Reference |
|---|
|
can and | LaTeX Math Block Reference |
|---|
|
can also be used in
gross field production analysis assuming homogeneous reservoir
water saturation :
| LaTeX Math Block |
|---|
|
s_w(t) = s_{wi} + (1-s_{wi}) \cdot \rm E_{Dow}(t) = s_{wi} + (1-s_{orwi}) \cdot \rm RFRFO(t)/E_S |
where
...
See Also
...
Petroleum Industry / Upstream / Subsurface E&P Disciplines / Well Testing (WT) / Flowrate Testing / Flowrate / Production
See also
Water cut (Yw)
[ Watercut Diagnostics / Watercut Fractional Flow plot ] [ Watercut Correlation @model ]
[ WOR ]
