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Hydrostatic Pressure in Annulus Due to Slug Formula

P=VaVs(WsWm)0.052P=V_aV_s(W_s-W_m)0.052

Hydrostatic Pressure in Annulus Due to Slug calculates hydrostatic pressure for well control workflows in drilling engineering.

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How engineers use this formula

Use this formula when the listed inputs (V_a, V_s, W_s, W_m) are known and the assumptions behind the cited well control 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, P equals 416 psi.

V_aft/bbl

100

V_sbbl

20

W_sppg

16

W_mppg

12

Inputs

V_a

ft/bbl

Annular Capacity as Length per Barrel

V_s

bbl

Slug Volume

W_s

ppg

Slug Weight

W_m

ppg

Mud Weight

Outputs

P

psi

Hydrostatic Pressure

V_a

ft/bbl

Annular Capacity as Length per Barrel

V_s

bbl

Slug Volume

W_s

ppg

Slug Weight

W_m

ppg

Mud Weight

Source and review

reviewed

Lapeyrouse, N.J. 2002. Formulas and Calculations for Drilling, Production and Workover, 2nd Edition, Page 36.

Source

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