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.