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Pickett Crossplot Log True Resistivity Formula

log10Rt=mlog10(ϕ)+log10(Rw)nlog10(Sw)\log_{10}R_t=-m\log_{10}(\phi)+\log_{10}(R_w)-n\log_{10}(S_w)

Pickett Crossplot Log True Resistivity calculates base-10 logarithm of true rock resistivity for resistivity logs workflows in petrophysics.

Calculate

How engineers use this formula

Use this formula when the listed inputs (S_w, R_w, phi, n, m) are known and the assumptions behind the cited resistivity logs relationship match the engineering case being checked.

Assumptions

  • Input values are representative for the well, reservoir, fluid, or equipment case being evaluated.
  • The declared units match the field-unit constants used in the formula.
  • The cited formula applies to the selected petroleum engineering workflow.

Limitations

  • The calculation does not replace a full engineering model or operating procedure.
  • Accuracy depends on the source correlation, assumptions, input quality, and unit consistency.

Common mistakes

  • Mixing unit systems without converting the inputs.
  • Using default example values as field recommendations.
  • Applying the formula outside the source assumptions.

Default example

Using the default inputs, log_Rt equals 0.758852 log10(ohm m).

S_wfraction

0.6

R_wohm m

0.1

phifraction

0.22

ndimensionless

2

mdimensionless

2

Inputs

S_w

fraction

Water Saturation

R_w

ohm m

Formation Water Resistivity

phi

fraction

Porosity

n

dimensionless

Saturation Exponent

m

dimensionless

Cementation Exponent

Outputs

log_Rt

log10(ohm m)

Base-10 Logarithm of True Rock Resistivity

R_t

ohm m

True Rock Resistivity

S_w

fraction

Water Saturation

R_w

ohm m

Formation Water Resistivity

phi

fraction

Porosity

n

dimensionless

Saturation Exponent

m

dimensionless

Cementation Exponent

Source and review

reviewed

Theory, Measurement, and Interpretation of Well Logs, Bassiouni, Z. (1994)

Bassiouni, Z. 1994. Theory, Measurement, and Interpretation of Well Logs. SPE Textbook Series Vol. 4, Chapter 13, Page 276.

Source

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