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Phase Behavior and ThermodynamicsPVT PropertiesCalculation record

Benedict-Webb-Rubin PVT Equation Calculator

P=RTρ+(BRT−A−CT2)ρ2+(bRT−a)ρ3+aαρ6+cρ3T2(1+γρ2)e−γρ2P=RT\rho+\left(BRT-A-\frac{C}{T^2}\right)\rho^2+(bRT-a)\rho^3+a\alpha\rho^6+\frac{c\rho^3}{T^2}(1+\gamma\rho^2)e^{-\gamma\rho^2}

Enter the declared phase behavior and thermodynamics inputs below to solve P. Variable definitions, units, the default calculation, and the available source trail are included on this page.

Tabular solver

Inputs

Defaults provide a quick field-unit example for the equation.

11 variables

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Extended guidance in preparation

What is available in this record

This record provides the functioning calculator, formula, declared variables and units, a reproducible default result, and the available citation metadata. A separately written engineering interpretation has not yet been published for this calculation.

Formula reference

Formula, variables, and default calculation

P=RTρ+(BRT−A−CT2)ρ2+(bRT−a)ρ3+aαρ6+cρ3T2(1+γρ2)e−γρ2P=RT\rho+\left(BRT-A-\frac{C}{T^2}\right)\rho^2+(bRT-a)\rho^3+a\alpha\rho^6+\frac{c\rho^3}{T^2}(1+\gamma\rho^2)e^{-\gamma\rho^2}

Reproducible default result

With the default values shown below, the calculation returns P = 129.03687 psi. Defaults demonstrate the implementation; they are not recommended field values.

Rconsistent EOS units

10.7316

TR

600

rholbmol/ft3

0.02

Aconsistent EOS units

1

Bconsistent EOS units

0.1

Cconsistent EOS units

10

aconsistent EOS units

0.5

bconsistent EOS units

0.01

cconsistent EOS units

1

alphaconsistent EOS units

0.001

gammaconsistent EOS units

0.1

Input definitions

R

consistent EOS units

Gas Constant

T

R

Absolute Temperature

rho

lbmol/ft3

Molar Density

A

consistent EOS units

BWR A Coefficient

B

consistent EOS units

BWR B Coefficient

C

consistent EOS units

BWR C Coefficient

a

consistent EOS units

BWR a Coefficient

b

consistent EOS units

BWR b Coefficient

c

consistent EOS units

BWR c Coefficient

alpha

consistent EOS units

BWR Alpha Coefficient

gamma

consistent EOS units

BWR Gamma Coefficient

Output definitions

P

psi

Pressure

R

consistent EOS units

Gas Constant

Source and record status

Source metadata identifies the relationship implemented by the calculator. Check the cited edition, unit basis, and scope against the engineering case before operational use.

reviewed

Gas Conditioning and Processing, Campbell, J. M. (1992)

John M. Campbell. 1992. Gas Conditioning and Processing, Campbell Petroleum Series, Vol. 1, Page 48.

Open source reference