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 $(\mathrm{psi} / \mathrm{ft})$

Output(s)

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

Formula(s)

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

Reference(s)

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