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Resistivity Index - Archie's Law Formula

RI=RtRoRI=\frac{R_t}{R_o}

Resistivity Index - Archie's Law calculates resistivity index for resistivity logs workflows in petrophysics.

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How engineers use this formula

Use this formula when the listed inputs (R_t, R_o) 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, RI equals 4 dimensionless.

R_tohm m

20

R_oohm m

5

Inputs

R_t

ohm m

True Resistivity

R_o

ohm m

Resistivity of Water-Filled Rock

Outputs

RI

dimensionless

Resistivity Index

R_t

ohm m

True Resistivity

R_o

ohm m

Resistivity of Water-Filled Rock

Source and review

reviewed

Core Laboratories. 2005. Formation Evaluation and Petrophysics, Page 42.

Source

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