Annular Velocity from Pump Output Calculator
Enter pump output and annular area or the required geometry inputs. The calculator returns average annular velocity.
Calculation context and source notes
Annular velocity from pump output estimates the average drilling-fluid velocity in the annulus from flow rate and annular area.
Use it for hole-cleaning checks, hydraulics reviews, and circulation planning before more detailed rheology calculations.
Solves for
AV (ft/min)
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Formula, variables, and sourceRelated source-backed guides
Formula, variables, and default calculation
Reproducible default result
With the default values shown below, the calculation returns AV = 311.111111 ft/min. Defaults demonstrate the implementation; they are not recommended field values.
600
8.5
5
Input definitions
Q
gpmCirculation Rate
D_h
inHole or Casing Inside Diameter
D_p
inPipe Outside Diameter
Output definitions
AV
Annular Velocity
Q
Circulation Rate
D_h
Hole or Casing Inside Diameter
D_p
Pipe Outside Diameter
Engineering use, assumptions, and limits
Use it for hole-cleaning checks, hydraulics reviews, and circulation planning before more detailed rheology calculations.
Assumptions
- Flow rate is steady during the calculation.
- The annular area represents the section being evaluated.
- Velocity is an average value, not a local velocity profile.
Limitations
- Does not account for eccentricity, cuttings bed development, or non-Newtonian velocity profiles.
- Not a replacement for detailed hole-cleaning modeling in deviated wells.
Common mistakes
- Using pipe ID instead of annular area.
- Comparing average velocity directly to critical transport limits without considering inclination and rheology.
Source and record status
Source metadata identifies the relationship implemented by the calculator. Check the cited edition, unit basis, and scope against the engineering case before operational use.
Lyons, W.C., Carter, T. and Lapeyrouse, N.J. 2012. Formulas and Calculations for Drilling, Production and Workover, 3rd Edition, Page 10.
Open source reference