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Archie Flushed-Zone Water Saturation from Shallow Resistivity Formula

Sxo=(aRmfϕmRxo)1/nS_{xo}=\left(\frac{aR_{mf}}{\phi^mR_{xo}}\right)^{1/n}

Archie Flushed-Zone Water Saturation from Shallow Resistivity calculates flushed-zone water saturation for resistivity logs workflows in petrophysics.

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How engineers use this formula

Use this formula when the listed inputs (a, R_mf, phi, m, R_xo, n) 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, S_xo equals 0.790569 fraction.

adimensionless

1

R_mfohm m

0.25

phifraction

0.2

mdimensionless

2

R_xoohm m

10

ndimensionless

2

Inputs

a

dimensionless

Tortuosity Factor

R_mf

ohm m

Mud Filtrate Resistivity at Formation Temperature

phi

fraction

Porosity

m

dimensionless

Cementation Exponent

R_xo

ohm m

Flushed-Zone Resistivity from Shallow Investigation Log

n

dimensionless

Saturation Exponent

Outputs

S_xo

fraction

Flushed-Zone Water Saturation

R_xo

ohm m

Flushed-Zone Resistivity

R_mf

ohm m

Mud Filtrate Resistivity at Formation Temperature

phi

fraction

Porosity

a

dimensionless

Tortuosity Factor

n

dimensionless

Saturation Exponent

m

dimensionless

Cementation Exponent

Source and review

reviewed

Water resistivity determination, AAPG Wiki

AAPG Wiki. Water resistivity determination, Archie invaded-zone relation; KGS PfEFFER flushed-zone saturation discussion.

Source

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