...
and fractional flow function is going to be:
| LaTeX Math Block |
|---|
| f_w = \frac{M_{rwo}}{M_{rwo} + M_{row}} = \frac{(s-s^*)^n_{wo}}{(s-s^*)^n_{wo} + g \, (1-s)^n_{ow}} |
|
|
f | \dot f_w = \frac{d f_w}{ds} = g \cdot \frac{(s-s^*)^n_{wo}}{((s-s^*)^n_{wo} + g \, (1-s)^n_{ow})^2} \cdot
\left[ n_{wo} (1-s)^n_{ow} + n_{ow} (s-s^*) (1-s)^{n_{ow}-1}
\right] |
|
where
| LaTeX Math Block |
|---|
|
g = \frac{M_{rowc}}{M_{rwoc}} \cdot \left( \frac{1-s_{wco}-s_{orw}}{1-s_{wi}-s_{orw}} \right)^n_{wo} |
See also
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Petroleum Industry / Upstream / Subsurface E&P Disciplines / Petrophysics / Relative Permeability / RPM @model
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