Fracture fluid coefficient for viscosity-controlled liquids

Input(s)

$k$: Effective Permeability (Darcy)

Ø: Effective Porosity (\%)

$\mu_{f}$: Viscosity of Fracturing Fluid in Reservoir Conditions (cP)

$\Delta P$: Pressure difference in Fracture Face (psi)

$c$ : Conversion Coefficient (dimensionless)

Output(s)

$C_{v}$: Fracture Fluid Coefficient for Viscosity-Controlled Liquids (dimensionless)

Formula(s)

$$ C_{v}=c\left(\frac{k \cdot \Delta P \cdot \emptyset}{\mu_{f}}\right)^{1 / 2} $$

Reference(s)

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