Perforation friction factor

Input(s)

$q_{t}$: Total Flow Rate (bbl/min)

$\mathrm{n}$ : Number of Perforations (dimensionless)

d: Casing Entrance-Hole Diameter (in.)

$C_{d}$ : Discharge Coefficient (dimensionless)

$\rho_{o}$: Oil Density (lbf/in. $\left.{ }^{2}\right)$

Output(s)

$p_{f}$: Perforation Friction (Differential Pressure across Perforations) (psi)

Formula(s)

$$ p_{f}=\frac{0.2369 q_{t}^{2} \rho_{o}}{n^{2} d^{4} C_{d}^{2}} $$

Reference(s)

Bell, W. T., Sukup, R. A., \& Tariq, S. M. (1995). Perforating. Henry L. Doherty Memorial Fund of AIME, Society of Petroleum Engineers, Page: 79.