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Fracture Fluid Coefficient - Reservoir-Controlled Liquids Calculator

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

Enter the declared production engineering inputs below to solve C_r. Variable definitions, units, the default calculation, and the available source trail are included on this page.

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Inputs

Defaults provide a quick field-unit example for the equation.

6 variables

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What is available in this record

This record provides the functioning calculator, formula, declared variables and units, a reproducible default result, and the available citation metadata. A separately written engineering interpretation has not yet been published for this calculation.

Formula reference

Formula, variables, and default calculation

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

Reproducible default result

With the default values shown below, the calculation returns C_r = 0.007071 dimensionless. Defaults demonstrate the implementation; they are not recommended field values.

c_convdimensionless

0.001

DeltaPpsi

1000

kDarcy

0.5

c_fpsi^-1

0.00001

phi_pct%

20

mucP

2

Input definitions

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

Output definitions

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 record status

Source metadata identifies the relationship implemented by the calculator. Check the cited edition, unit basis, and scope against the engineering case before operational use.

reviewed

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

Open source reference