3-phase RPM for low oil saturation water-wet formations.

(1)	$\begin{array}{l}\displaystyle k_{rw}(s_w, s_o, s_g) = k_{rw}(s_w)\end{array}$

(2)	$\begin{array}{l}\displaystyle s_{wn} = \frac{s_w - s_{wi}}{1 - s_{wi} - s_{or}}\end{array}$

(3)	$\begin{array}{l}\displaystyle k_{rg}(s_w, s_o, s_g) = k_{rg}(s_g)\end{array}$

(4)	$\begin{array}{l}\displaystyle s_{on} = \frac{s_o - s_{or}}{1 - s_{wi} - s_{or}}\end{array}$

(5)	$\begin{array}{l}\displaystyle k_{ro}(s_w, s_o, s_g) = \frac{s_{on}}{k_{row}^*} \frac{k_{row}(s_w)}{1-s_{wn}} \frac{k_{rog}(s_w)}{1-s_{gn}}\end{array}$

(6)	$\begin{array}{l}\displaystyle s_{gn} = \frac{s_g}{1 - s_{wi} - s_{or}}\end{array}$

where $\begin{array}{l}k_{rcow} = k_{row}(s_{wi})\end{array}$ .

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See also