Downhole operating pressure (hydraulic fracturing)

Input(s)

$\Delta P_{f}$ : Pressure Loss Sourced by Friction (psi)

$\Delta P_{p}$ : Pressure Loss sourced by Perforations(psi)

$\Delta P_{h}$ : Hydrostatic Pressure Change (psi)

$P_{i n j}$ : Injection Pressure $(\mathrm{psi})$

D: Fracture Elevation Depth (ft)

$G_{f}$ : Fracture Gradient $(\mathrm{psi} / \mathrm{ft})$

$P_{F}$ : Downhole Operating Pressure $(\mathrm{psi})$

\begin{gathered} P_{F}=G_{f} \cdot D \\ G_{f}=\frac{P_{i n j}+\Delta P_{h}-\Delta P_{f}-\Delta P_{p}}{D} \end{gathered}

Saydam, T., (1967). Principles of Hydraulic Fracturing, ARI Publishing Co., Page: 25.