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Reservoir Wettability Characterization Rise-in-Core Method Formula

cosθ12=μ1ρ22μ2ρ12ρ12ρ22CγL2L1m2t\cos\theta_{12}=\frac{\mu_1\rho_2^2-\mu_2\rho_1^2}{\rho_1^2\rho_2^2C\gamma_{L2L1}}\frac{m^2}{t}

Reservoir Wettability Characterization Rise-in-Core Method calculates cosine of liquid-liquid-rock contact angle for rock properties workflows in petrophysics.

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How engineers use this formula

Use this formula when the listed inputs (mu_1, mu_2, rho_1, rho_2, m, t, C, gamma_L2L1) 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, cos_theta_12 equals 0.177083 dimensionless.

mu_1cP

2

mu_2cP

1

rho_1g/cm^3

0.8

rho_2g/cm^3

1

mg

5

tmin

10

Cdimensionless

1

gamma_L2L1dyn/cm

30

Inputs

mu_1

cP

Oil Phase Viscosity

mu_2

cP

Water Phase Viscosity

rho_1

g/cm^3

Oil Phase Density

rho_2

g/cm^3

Water Phase Density

m

g

Mass of Fluid Penetrated into Porous Rock

t

min

Elapsed Rise-in-Core Time

C

dimensionless

Characteristic Constant of Porous Rock

gamma_L2L1

dyn/cm

Interfacial Tension between Water and Oil Phases

Outputs

cos_theta_12

dimensionless

Cosine of Liquid-Liquid-Rock Contact Angle

theta_12

degree

Liquid-Liquid-Rock Contact Angle

mu_1

cP

Oil Phase Viscosity

mu_2

cP

Water Phase Viscosity

gamma_L2L1

dyn/cm

Interfacial Tension between Water and Oil Phases

C

dimensionless

Characteristic Constant of Porous Rock

t

min

Elapsed Rise-in-Core Time

Source and review

reviewed

U.S. Patent No. 8,768,628, Ghedan, S., Canbaz, C. H. (2014)

Ghedan, S. and Canbaz, C. H. 2014. U.S. Patent No. 8,768,628. Washington, DC: U.S. Patent and Trademark Office, Page 5.

source conflict
Source

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