# 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.