Resistivity of a water-saturated shaly sand (Vsh models)

Input(s)

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

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

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

F: Formation Resistivity Factor (dimensionless)

Output(s)

α\alpha: Clay Distribution Factor (dimensionless)

β\beta: Clay Distribution Factor (dimensionless)

1Ro\frac{1}{R_{o}}: Formation Hydrocarbon Resistivity (per(ohm m))

Formula(s)

α=(VshRsh)β=1F1Ro=(α)+(βRw)\begin{gathered} \alpha=\left(\frac{V_{s h}}{R_{s h}}\right) \\ \beta=\frac{1}{F} \\ \frac{1}{R_{o}}=(\alpha)+\left(\frac{\beta}{R_{w}}\right) \end{gathered}

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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