Implicit Z-factor Correlations @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}}
R_5 \, y^2 \, (1+ A_{11} \, y^2) \cdot \exp \left( - A_{11} \, y^2  \right)
+ R_1 \, y - \frac{R_2}{y} +R_3 \, y^2 - R_4 \, y^5  +1 = 0
R_1 = A_1 + A_2 \, t + A_3 \, t^3 + A_4 \, t^4 + A_5 \, t^5
R_2 = \frac{0.27 \, P_{pr}}{T_{pr}}
R_3 = A_6 + A_7 \, t + A_8 \, t^2



R_4 = A_9 \cdot ( A_7 \, t + A_8 \, t^2) 
R_5 = A_{10} \, t^3



t= \frac{1}{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., and H. Abou-Kassem. "Calculation of Z Factors For Natural Gases Using Equations of State." J Can Pet Technol 14 (1975): doi.org/10.2118/75-03-03

https://rdrr.io/github/f0nzie/zFactor/man/Dranchuk-AbouKassem.html