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Reservoir EngineeringPVT and Rock-Fluid Properties

Capillary Number Formula

Nc=μwV0.304886400σowN_c = \frac{\mu_w \cdot V \cdot 0.3048}{86400 \cdot \sigma_{ow}}

Capillary Number calculates capillary number for pvt and rock-fluid properties workflows in reservoir engineering.

Calculate

How engineers use this formula

Use this formula when the listed inputs (mu_w, V, sigma_ow) are known and the assumptions behind the cited pvt and rock-fluid 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, N_c equals 0.000001 dimensionless.

mu_wcP

1

Vft/day

10

sigma_owdyn/cm

30

Inputs

mu_w

cP

Viscosity of Displacing Fluid

V

ft/day

Characteristic Velocity

sigma_ow

dyn/cm

Interfacial Tension between Oil and Water

Outputs

N_c

dimensionless

Capillary Number

mu_w

cP

Viscosity of Displacing Fluid (rearranged)

V

ft/day

Characteristic Velocity (rearranged)

sigma_ow

dyn/cm

Interfacial Tension (rearranged)

Source and review

reviewed

Lake, L. W. (1989). Enhanced Oil Recovery. Prentice Hall, Chapter 4.

Source

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