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Fracture Fluid Coefficient - Reservoir-Controlled Liquids Formula

Cr=cΔPkcfϕμC_r=c\Delta P\sqrt{\frac{kc_f\phi}{\mu}}

Fracture Fluid Coefficient - Reservoir-Controlled Liquids calculates reservoir-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, DeltaP, k, c_f, phi_pct, mu) 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_r equals 0.007071 dimensionless.

c_convdimensionless

0.001

DeltaPpsi

1000

kDarcy

0.5

c_fpsi^-1

0.00001

phi_pct%

20

mucP

2

Inputs

c_conv

dimensionless

Conversion Coefficient

DeltaP

psi

Pressure Difference at the Fracture Face

k

Darcy

Effective Permeability

c_f

psi^-1

Isothermal Compressibility of Reservoir Fluid

phi_pct

%

Effective Porosity

mu

cP

Viscosity of Reservoir Fluid

Outputs

C_r

dimensionless

Reservoir-Controlled Fracture Fluid Coefficient

c_conv

dimensionless

Conversion Coefficient

DeltaP

psi

Pressure Difference at the Fracture Face

mu

cP

Viscosity of Reservoir Fluid

Source and review

reviewed

Saydam, T. 1967. Principles of Hydraulic Fracturing. ARI Publishing Co., Page 20.

Source

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