Pressure loss due to perforations during hydraulic fracturing

Input(s)

$\rho$: Specific Gravity $\left(\mathrm{lb} / \mathrm{ft}^{3}\right)$

$q$ : Real Flowing Rate $\left(\mathrm{ft}^{3} / \mathrm{s}\right)$

$g_{c}$: Unit Conversion Factor $\left(32.2(\mathrm{lb} \cdot \mathrm{ft}) /\left(\mathrm{lbf} \mathrm{s}^{2}\right)\right.$

$A_{2}$ : Fracture Area in time " $\mathrm{t}$ " $\left(\mathrm{ft}^{2}\right)$

Output(s)

$\Delta P_{p}$: Pressure Loss in Sourced by Perforations during Hydraulic Fracturing (psi)

Formula(s)

$$ \Delta P_{p}=\frac{\rho \cdot q^{2}}{1.345 \cdot g_{c} \cdot A_{2}^{2}} $$

Reference(s)

Saydam, T., (1967). Principles of Hydraulic Fracturing, ARI Publishing Co., Page: 28.