Wellbore pressure loss due to friction during hydraulic fracturing (turbulence flow)

Input(s)

$\rho$: Liquid Density (lb/gal)

v: Average Velocity $(\mathrm{ft} / \mathrm{s})$

$f$: Fanning Friction Factor (dimensionless)

L: Pipe Length $(\mathrm{ft})$

$d$: Inner Diameter of Pipe (in.)

Output(s)

$\Delta P_{f}$: Pressure Loss in the wellbore Sourced by Frictions during Hydraulic Fracturing (psi)

Formula(s)

$$ \Delta P_{f}=\frac{f \cdot L \cdot \rho \cdot v^{2}}{25.80 \cdot d} $$

Reference(s)

Saydam, T., (1967). Principles of Hydraulic Fracturing, ARI Publishing Co., Page: 31.