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Simandoux Water Saturation from Shaly Sand Logs Formula

Sw=VshRsh+(VshRsh)2+4FRw(1Vsh)Rt2FRw(1Vsh)S_w=\frac{-\frac{V_{sh}}{R_{sh}}+\sqrt{\left(\frac{V_{sh}}{R_{sh}}\right)^2+\frac{4}{F R_w (1-V_{sh}) R_t}}}{\frac{2}{F R_w (1-V_{sh})}}

Simandoux Water Saturation from Shaly Sand Logs calculates water saturation for resistivity logs workflows in petrophysics.

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How engineers use this formula

Use this formula when the listed inputs (F, R_w, R_t, V_sh, R_sh) 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_w equals 0.187156 fraction.

Fdimensionless

25

R_wohm m

0.05

R_tohm m

20

V_shfraction

0.2

R_shohm m

2.5

Inputs

F

dimensionless

Formation Resistivity Factor

R_w

ohm m

Formation Water Resistivity

R_t

ohm m

True Formation Resistivity

V_sh

fraction

Volume of Shale

R_sh

ohm m

Wet Shale Resistivity

Outputs

S_w

fraction

Water Saturation

Source and review

reviewed

Standard interpretation, AAPG Wiki

AAPG Wiki. Standard Interpretation, Water saturation in shaly reservoirs; Simandoux equation.

Source

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