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.