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Phase Behavior and ThermodynamicsGas Properties

Generalized Virial Gas Z-Factor Correlation Formula

z=1+(B0+ωB1)PprTprz=1+\frac{(B^0+\omega B^1)P_{pr}}{T_{pr}}

Generalized Virial Gas Z-Factor Correlation calculates gas compressibility factor 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 (P_pr, T_pr, omega) 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, z equals 0.917827 dimensionless.

P_prdimensionless

3

T_prdimensionless

2

omegadimensionless

0.011

Inputs

P_pr

dimensionless

Pseudo-Reduced Pressure

T_pr

dimensionless

Pseudo-Reduced Temperature

omega

dimensionless

Acentric Factor

Outputs

z

dimensionless

Gas Compressibility Factor

Source and review

reviewed

Generalized virial coefficient correlation summarized in Bello and Musa 2020 comparative gas z-factor study.

Source

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