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Pickett Plot Calculator

Plot log(Rt) vs log(φ) to determine formation water resistivity (Rw), cementation exponent (m), and tortuosity factor (a). Includes Sw iso-lines at 20%, 50%, and 100%.

Porosity & Resistivity Data

Enter your data points below. The Sw=100% line passes through 100% water-saturated points; select points you believe are wet to anchor the fit.

# Porosity (fraction) Rt (ohm-m)

Cementation Exponent (m)

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Formation Water Rw (ohm-m)

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Tortuosity Factor (a)

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Pickett Plot — log(Rt) vs log(φ)

How this was calculated

Archie's Equation: Rt = a × Rw / (φm × Swn)

Taking log: log(Rt) = −m×log(φ) + log(a×Rw/Swn)

On a log-log plot of Rt vs φ, this is a straight line with slope = −m and intercept giving a×Rw (at Sw=100%).

Fit method: Ordinary least-squares regression on log-transformed data.

Sw iso-lines: At constant Sw, log(Rt) = −m×log(φ) + log(a×Rw/Swn). Lines are parallel, shifted vertically by −n×log(Sw).

Convention: a is computed assuming the Sw=100% line represents the best fit; a = 10intercept/Rw. If a is far from 1.0, check your data selection.

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Understanding the Pickett Plot

The Pickett plot is a graphical technique based on Archie's equation that allows the petrophysicist to simultaneously determine the cementation exponent (m), the tortuosity factor (a), and the formation water resistivity (Rw) from a crossplot of true resistivity (Rt) versus porosity on a log-log scale.

On this plot, zones with 100% water saturation (Sw=1.0) define a straight line whose slope equals -m and whose intercept at unit porosity gives the product a*Rw. Water saturation iso-lines run parallel to the Sw=100% line, shifted upward by a factor of 1/Sw^n. By plotting data from multiple zones and identifying the water-wet trend, the interpreter can extract Archie parameters without requiring separate Rw measurements.

The Pickett plot is most reliable when applied to clean (low-shale) formations with a range of porosities. In shaly sands, the data points deviate from the Archie model, and more advanced shaly-sand equations (Waxman-Smits, dual-water) may be needed.

All calculations run in your browser. Built by Groundwork Analytics. Get in touch or email info@petropt.com.

Disclaimer: These calculations are for screening and educational purposes only. Results should be verified against core data before making operational decisions. Groundwork Analytics assumes no liability for decisions made based on these results.