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Drilling EngineeringDrilling Hydraulics

Open-Ended Displacement Volume of Pipe Formula

Vo=0.7854(Do2Di2)L808.5V_o=\frac{0.7854(D_o^2-D_i^2)L}{808.5}

Open-Ended Displacement Volume of Pipe calculates open-ended pipe displacement volume for drilling hydraulics workflows in drilling engineering.

Calculate

How engineers use this formula

Use this formula when the listed inputs (D_o, D_i, L) 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, V_o equals 6.523943 bbl.

D_oin

5

D_iin

4.276

Lft

1000

Inputs

D_o

in

Pipe Outside Diameter

D_i

in

Pipe Inside Diameter

L

ft

Pipe Length

Outputs

V_o

bbl

Open-Ended Pipe Displacement Volume

D_o

in

Pipe Outside Diameter

D_i

in

Pipe Inside Diameter

L

ft

Pipe Length

Source and review

reviewed

501 Solved Problems and Calculations for Drilling Operations, Samuel, E. Robello (2015)

Samuel, E. Robello. 501 Solved Problems and Calculations for Drilling Operations. Sigma Quadrant, Houston, Texas, 2015, Page 45.

Source

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