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One of the saturation from resistivity models:


(1) s_w = \left[ \frac{\sqrt{\frac{1}{R_t}}}{ \frac{V_{sh}^{\left( 1-0.5 \, V_{sh} \right)}}{\sqrt{R_{sh}}} + \sqrt{ \frac{\phi_e^m}{A \, R_w}}} \right]^{\, (2/n)}

 where

s_w

formation water saturation

\phi_e

effective porosity

V_{sh}

shaliness

R_t

specific electrical resistivity from OH logs

R_w

specific electrical resistivity of formation water

R_{sh}

specific electrical resistivity of wet shales

m

formation matrix cementation exponent1.5 ÷ 2.5, default value is 2

n

formation matrix water-saturation exponent

1.5 ÷ 2.5, default value is 2


See Also


Petroleum Industry / Upstream / Subsurface E&P Disciplines / Petrophysics

Well & Reservoir Surveillance / Well logging / Reservoir Data Logs (RDL) / Formation Resistivity Log @model

Reference


Poupon, André, and J. Leveaux. "Evaluation Of Water Saturation In Shaly Formations." Paper presented at the SPWLA 12th Annual Logging Symposium, Dallas, Texas, May 1971.

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