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Production EngineeringWell Performance

Close-Ended Displacement Volume of Pipe Formula

Vc=0.7854Do2L808.5V_c=\frac{0.7854D_o^2L}{808.5}

Close-Ended Displacement Volume of Pipe calculates close-ended pipe displacement volume for well performance workflows in production engineering.

Calculate

How engineers use this formula

Use this formula when the listed inputs (D_o, L) are known and the assumptions behind the cited well performance 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_c equals 8.029464 bbl.

D_oin

2.875

Lft

1000

Inputs

D_o

in

Outside Diameter of Pipe

L

ft

Pipe Length

Outputs

V_c

bbl

Close-Ended Pipe Displacement Volume

D_o

in

Outside Diameter of Pipe

L

ft

Pipe Length

Source and review

reviewed

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

Source

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