Implicit Z-factor correlation @model for the natural gas in the wide range of pseudo-reduced temperature  and pseudo-reduced pressure 

and also a specific range of  and :

Z = \frac{0.27 \, P_{pr}}{y \, T_{pr}}
1 + T_1 \, y  +T_2 \, y^2 + T_3 \, y^5 + T_4 \, y^2 \, (1+ A_8 \, y^2) \cdot \exp \left( - A_8 \, y^2  \right)  - \frac{T_5}{y} = 0


T_1 = A_1 + \frac{A_2 }{ T_{pr} } + \frac{A_3 }{ T_{pr}^3 }
T_2 = A_4 + \frac{A_5 }{ T_{pr} }
T_3 = \frac{A_5 \, A_6 }{T_{pr}}
T_4 = \frac{A_7 }{T_{pr}^3}
T_5 = \frac{0.27 \, P_{pr} }{T_{pr}}

where

Z-factor

fluid temperature 

fluid pressure

and

See also


Natural Science / Physics /Thermodynamics / Z-factor / Z-factor Correlations @model

Reference


Dranchuk, P.M., Purvis, R.A., and D.B. Robinson. "Computer Calculation Of Natural Gas Compressibility Factors Using The Standing And Katz Correlation." Paper presented at the Annual Technical Meeting, Edmonton, May 1973. doi: https://doi.org/10.2118/73-112