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Fracture Fluid Coefficient - Viscosity-Controlled Liquids Calculator

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

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

Tabular solver

Inputs

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

5 variables

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Extended guidance in preparation

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

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

Reproducible default result

With the default values shown below, the calculation returns C_v = 0.014142 dimensionless. Defaults demonstrate the implementation; they are not recommended field values.

c_convdimensionless

0.001

kDarcy

0.5

DeltaPpsi

1000

phi_pct%

20

mu_fcP

50

Input definitions

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

Output definitions

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 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 17.

Open source reference