Annular velocity for a given pump output

Input(s)

$\mathrm{O}_{\mathrm{p}}$: Pump Output (bbl/min)

$\mathrm{d}_{\mathrm{h}}$: Inner Diameter of Casing (in.)

$\mathrm{d}_{\mathrm{p}}$: Outer Diameter of Casing (in.)

Output(s)

AV: Annular Velocity (bbl/min)

Formula(s)

$$ \mathrm{AV}=\frac{\mathrm{O}_{\mathrm{p}} * 1029.4}{\mathrm{~d}_{\mathrm{h}}^{2}-\mathrm{d}_{\mathrm{p}}^{2}} $$

Reference(s)

Lyons, W. C., Carter, T., and Lapeyrouse, N. J., 2012, Formulas and Calculations for Drilling, Production and Workover, Third Edition, Gulf Professional Publishing, Page: 21.