One of the saturation from resistivity models:
\frac{1}{R_t} = \frac{\phi_e^m \, s_w^n}{A R_w (1-V_{sh})} + \frac{V_{sh}}{R_{sh}} s_w^{n/2}
where
dimensionless constant, characterizing the rock matrix contribution to the total electrical resistivity
0.5 ÷ 1, default value is 1 for sandstones and 0.9 for limestones
1.5 ÷ 2.5, default value is 2
Petroleum Industry / Upstream / Subsurface E&P Disciplines / Petrophysics
Well & Reservoir Surveillance / Well logging / Reservoir Data Logs (RDL) / Formation Resistivity Log @model