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Phase Behavior and ThermodynamicsPVT Properties

Van der Waals Attraction Parameter from Critical Properties Formula

a=27R2Tc264Pca = \frac{27R^2T_c^2}{64P_c}

Van der Waals Attraction Parameter from Critical Properties calculates van der waals attraction parameter for pvt properties workflows in phase behavior and thermodynamics.

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How engineers use this formula

Use this formula when the listed inputs (R, T_c, P_c) are known and the assumptions behind the cited pvt 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, a_vdw equals 8,569.888075 psi*ft^6/lbmol^2.

Rpsi*ft^3/(lbmol*R)

10.7316

T_cR

343

P_cpsi

667

Inputs

R

psi*ft^3/(lbmol*R)

Gas Constant

T_c

R

Critical Temperature

P_c

psi

Critical Pressure

Outputs

a_vdw

psi*ft^6/lbmol^2

van der Waals Attraction Parameter

R

psi*ft^3/(lbmol*R)

Gas Constant

T_c

R

Critical Temperature

P_c

psi

Critical Pressure

Source and review

reviewed

Engineering LibreTexts, Phase Relations in Reservoir Engineering, Section 7.04: The van der Waals Equation.

Source

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