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Contact Angle from Interfacial Tensions Formula

θ=cos1(σsoσswσwo)\theta=\cos^{-1}\left(\frac{\sigma_{so}-\sigma_{sw}}{\sigma_{wo}}\right)

Contact Angle from Interfacial Tensions calculates contact angle for rock properties workflows in petrophysics.

Calculate

How engineers use this formula

Use this formula when the listed inputs (sigma_so, sigma_sw, sigma_wo) are known and the assumptions behind the cited rock 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, theta equals 60 degree.

sigma_sodyn/cm

50

sigma_swdyn/cm

30

sigma_wodyn/cm

40

Inputs

sigma_so

dyn/cm

Solid-Oil Interfacial Tension

sigma_sw

dyn/cm

Solid-Water Interfacial Tension

sigma_wo

dyn/cm

Water-Oil Interfacial Tension

Outputs

theta

degree

Contact Angle

sigma_so

dyn/cm

Solid-Oil Interfacial Tension

sigma_sw

dyn/cm

Solid-Water Interfacial Tension

sigma_wo

dyn/cm

Water-Oil Interfacial Tension

Source and review

reviewed

Petrophysics: Theory and Practice of Measuring Reservoir Rock and Fluid Transport Properties, Tiab, D., Donaldson, E. C. (2015)

Tiab, D. and Donaldson, E. C. 2015. Petrophysics: Theory and Practice of Measuring Reservoir Rock and Fluid Transport Properties. Gulf Professional Publishing, Page 362.

Source

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