Formula 4.56
Perforation friction pressure
Input(s)
Q: Flow Rate $\left(\mathrm{m}^{3} / \mathrm{min}\right)$
$\rho$ : Fluid Density $(\mathrm{kg} / \mathrm{L})$
$\mathrm{n}$ : Number of Perforations (unitless)
$D_{p}$: Diameter of Perforation $(\mathrm{cm})$
C: Perforation Coefficient (0.6-1.0) (unitless)
Output(s)
$\Delta P_{p f}$: Perforation Friction Pressure (MPa)
Formula(s)
$$ \Delta P_{p f}=22.335 * \frac{Q^{2} * \rho}{n^{2} * C^{2} * D_{p}^{4}} $$
Reference(s)
Daneshy, A. 2013. Fundamentals of Hydraulic Fracturing, Daneshy Consultants International, Page: 93.