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Phase Behavior and ThermodynamicsGas Properties

Real Gas Pseudopressure Trapezoidal Increment Formula

Δm=12(D1+D2)(p2p1)\Delta m=\frac{1}{2}(D_1+D_2)(p_2-p_1)

Real Gas Pseudopressure Trapezoidal Increment calculates real gas pseudopressure increment for gas properties workflows in phase behavior and thermodynamics.

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How engineers use this formula

Use this formula when the listed inputs (D_1, D_2, p_1, p_2) are known and the assumptions behind the cited gas properties 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, Delta_m equals 476,397,966.594045 psi^2/cp.

D_1psi/cp

123456.79012345678

D_2psi/cp

352941.17647058825

p_1psia

1000

p_2psia

3000

Inputs

D_1

psi/cp

Pseudopressure Derivative at Lower Pressure

D_2

psi/cp

Pseudopressure Derivative at Upper Pressure

p_1

psia

Lower Pressure

p_2

psia

Upper Pressure

Outputs

Delta_m

psi^2/cp

Real Gas Pseudopressure Increment

p_2

psia

Upper Pressure

p_1

psia

Lower Pressure

D_1

psi/cp

Pseudopressure Derivative at Lower Pressure

D_2

psi/cp

Pseudopressure Derivative at Upper Pressure

Source and review

reviewed

Gas permeability measurements from pressure pulse decay laboratory data using pseudo-pressure and pseudo-time transformations, Abdelmalek, B. et al.

Abdelmalek et al. 2017 pseudo-pressure definition; trapezoidal quadrature of the endpoint pseudopressure derivatives.

Source

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