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Drilling EngineeringDrilling Hydraulics

Strokes per Minute Required for Target Annular Velocity Formula

SPM=AVACqoSPM=\frac{AV\,AC}{q_o}

Strokes per Minute Required for Target Annular Velocity calculates pump speed required for drilling hydraulics workflows in drilling engineering.

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How engineers use this formula

Use this formula when the listed inputs (AV, AC, q_o) are known and the assumptions behind the cited drilling hydraulics relationship match the engineering case being checked.

Assumptions

  • Input values are representative for the well, reservoir, fluid, or equipment case being evaluated.
  • The declared units match the field-unit constants used in the formula.
  • The cited formula applies to the selected petroleum engineering workflow.

Limitations

  • The calculation does not replace a full engineering model or operating procedure.
  • Accuracy depends on the source correlation, assumptions, input quality, and unit consistency.

Common mistakes

  • Mixing unit systems without converting the inputs.
  • Using default example values as field recommendations.
  • Applying the formula outside the source assumptions.

Default example

Using the default inputs, SPM equals 75 strokes/min.

AVft/min

150

ACbbl/ft

0.05

q_obbl/stroke

0.1

Inputs

AV

ft/min

Target Annular Velocity

AC

bbl/ft

Annular Capacity

q_o

bbl/stroke

Pump Output

Outputs

SPM

strokes/min

Pump Speed Required

AV

ft/min

Target Annular Velocity

AC

bbl/ft

Annular Capacity

q_o

bbl/stroke

Pump Output

Source and review

reviewed

Lapeyrouse, N.J. Formulas and Calculations for Drilling, Production and Workover, 2nd Edition, Page 12.

Source

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