Fertl and Hammack equation

Input(s)

F: Formation Resistivity Factor (dimensionless)

Φe\Phi_{e}: Effective Porosity (fraction)

RtR_{t}: Rock Resistivity (ohm m)

RwR_{w}: Formation Water Resistivity (ohm m)

VshV_{s h}: Bulk Volume Fraction of Shale (fraction)

RshR_{s h}: Shale Resistivity (ohm m)

Output(s)

SwS_{w}: Water Saturation (fraction)

Formula(s)

Sw=(FRwRt)0.5VshRw0.4Φe(Rsh)S_{w}=\left(\frac{F * R_{w}}{R_{t}}\right)^{0.5}-\frac{V_{s h} * R_{w}}{0.4 * \Phi_{e} *\left(R_{s h}\right)}

Reference(s)

Bassiouni, Z., 1994, Theory, Measurement, and Interpretation of Well Logs. SPE Textbook Series Vol. 4. Chapter 1, Page: 16.

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