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Archie Water Saturation from Formation Factor Formula

Sw=(FRwRt)1/nS_w = \left(\frac{FR_w}{R_t}\right)^{1/n}

Archie Water Saturation from Formation Factor calculates water saturation for electrical properties workflows in petrophysics.

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How engineers use this formula

Use this formula when the listed inputs (F, R_w, R_t, n) are known and the assumptions behind the cited electrical properties 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, S_w equals 0.5 fraction.

Fdimensionless

25

R_wohm m

0.05

R_tohm m

5

ndimensionless

2

Inputs

F

dimensionless

Formation Factor

R_w

ohm m

Formation Water Resistivity

R_t

ohm m

True Formation Resistivity

n

dimensionless

Saturation Exponent

Outputs

S_w

fraction

Water Saturation

F

dimensionless

Formation Factor

R_w

ohm m

Formation Water Resistivity

R_t

ohm m

True Formation Resistivity

n

dimensionless

Saturation Exponent

Source and review

reviewed

Hartmann, D.J. and Beaumont, E.A. AAPG Wiki. Archie equation; SLB Energy Glossary. Formation factor.

Source

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