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Fracture Fluid Coefficient - Viscosity-Controlled Liquids Formula

Cv=ckΔPϕμfC_v=c\sqrt{\frac{k\Delta P\phi}{\mu_f}}

Fracture Fluid Coefficient - Viscosity-Controlled Liquids calculates viscosity-controlled fracture fluid coefficient for hydraulic fracturing workflows in production engineering.

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How engineers use this formula

Use this formula when the listed inputs (c_conv, k, DeltaP, phi_pct, mu_f) are known and the assumptions behind the cited hydraulic fracturing 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, C_v equals 0.014142 dimensionless.

c_convdimensionless

0.001

kDarcy

0.5

DeltaPpsi

1000

phi_pct%

20

mu_fcP

50

Inputs

c_conv

dimensionless

Conversion Coefficient

k

Darcy

Effective Permeability

DeltaP

psi

Pressure Difference at the Fracture Face

phi_pct

%

Effective Porosity

mu_f

cP

Fracturing-Fluid Viscosity at Reservoir Conditions

Outputs

C_v

dimensionless

Viscosity-Controlled Fracture Fluid Coefficient

c_conv

dimensionless

Conversion Coefficient

DeltaP

psi

Pressure Difference at the Fracture Face

mu_f

cP

Fracturing-Fluid Viscosity at Reservoir Conditions

Source and review

reviewed

Saydam, T. 1967. Principles of Hydraulic Fracturing. ARI Publishing Co., Page 17.

Source

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