Fracture fluid coefficient for reservoir-controlled liquids

Input(s)

$k$: Effective Permeability (Darcy)

Ø: Effective Porosity (\%)

$\mu$ : Viscosity of Reservoir Fluid $(\mathrm{cP})$

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

$c_{f}$: Isothermal Compressibility of Reservoir Fluid $\left(\mathrm{psi}^{-1}\right)$

c: Conversion Coefficient (dimensionless)

Output(s)

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

Formula(s)

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

Reference(s)

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