3-phase RPM for high 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)	$\begin{array}{l}\displaystyle k_{ro}(s_w, s_o, s_g) = k_{rcow}^{-1} k_{row}(s_w)k_{rog}(s_g) + k_{row}(s_w) k_{rg}(s_g) + k_{rw}(s_w) k_{rog}(s_g)\end{array}$

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

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

Page tree

See also