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Production EngineeringWell Performance

Gas-Lift Valve Opening Casing Pressure Formula

P1=PbtP2(Ap/Ab)1(Ap/Ab)P_1=\frac{P_{bt}-P_2\left(A_p/A_b\right)}{1-\left(A_p/A_b\right)}

Gas-Lift Valve Opening Casing Pressure calculates injection or casing pressure at valve depth for well performance workflows in production engineering.

Calculate

How engineers use this formula

Use this formula when the listed inputs (P_bt, P_2, A_p, A_b) 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, P_1 equals 1,300 psi.

P_btpsi

1200

P_2psi

800

A_pin2

0.2

A_bin2

1

Inputs

P_bt

psi

Bellows or Dome Pressure at Valve Depth

P_2

psi

Production or Tubing Pressure at Valve Depth

A_p

in2

Area of Valve Port or Seat

A_b

in2

Area of Bellows

Outputs

P_1

psi

Injection or Casing Pressure at Valve Depth

P_bt

psi

Bellows or Dome Pressure at Valve Depth

P_2

psi

Production or Tubing Pressure at Valve Depth

A_p

in2

Area of Valve Port or Seat

A_b

in2

Area of Bellows

Source and review

reviewed

Beggs, H.D. 2003. Production Optimization using Nodal Analysis, OGCI and Petroskills Publications, Second Edition, Chapter 5, Page 166.

Source

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