General form of the Archie equation-Water saturation from resistivity logs

Input(s)

m: Cementation Factor (dimensionless)

a: Tortuosity Factor (dimensionless)

\(\Phi\): Porosity (fraction)

\(R_{w}\): Resistivity of Water (ohm m)

\(R_{t}\): True Resistivity (ohm m)

\(\mathrm{n}\): Saturation Exponent (dimensionless)

Output(s)

\(S_{w}\): Water Saturation (fraction)

Formula(s)

\[ S_{w}=\left(\left(\frac{a}{\Phi^{m}}\right) *\left(\frac{R_{w}}{R_{t}}\right)\right)^{\frac{1}{n}} \]

Reference(s)

Core Laboratories. 2005. Formation Evaluation and Petrophysics, Page: 45.

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