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., 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

Lateef A. Kareem, et al, New explicit correlation for the compressibility factor of natural gas: linearized z-factor isotherms, J Petrol Explor Prod Technol (2016) 6:481–492, DOI 10.1007/s13202-015-0209-3

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