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Total Circulation Strokes from Drillstring and Annular Volume Formula

S=VDS+VAVOS=\frac{V_{DS}+V_{AV}}{O}

Total Circulation Strokes from Drillstring and Annular Volume calculates total circulation strokes for drilling hydraulics workflows in drilling engineering.

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How engineers use this formula

Use this formula when the listed inputs (V_DS, V_AV, 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, S equals 4,000 strokes.

V_DSbbl

100

V_AVbbl

300

Obbl/stroke

0.1

Inputs

V_DS

bbl

Drillstring Volume

V_AV

bbl

Annular Volume

O

bbl/stroke

Pump Output

Outputs

S

strokes

Total Circulation Strokes

V_DS

bbl

Drillstring Volume

V_AV

bbl

Annular Volume

O

bbl/stroke

Pump Output

Source and review

reviewed

Formulas and Calculations for Drilling, Production and Workover, Lapeyrouse, N.J. (2002)

Lapeyrouse, N.J. 2002. Formulas and Calculations for Drilling, Production and Workover, 2nd Edition, Gulf Professional Publishing, Page 104.

Source

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