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The Z-factor

LaTeX Math Inline
bodyZ(p, T)
 correlations for fluid mixtures provide fast computational procedures using the fluid mixture properties rather than multi-component procedures of Equation of State. 


These correlations are usually modelled through the pseudo-reduced fluid properties

LaTeX Math Inline
body--uriencoded--(T_%7Bpr%7D, P_%7Bpr%7D)

LaTeX Math Inline
body--uriencoded--T_%7Bpr%7D = T/T_%7Bpc%7D

Pseudo-reduced temperature

LaTeX Math Inline
body--uriencoded--T_%7Bpc%7D

Pseudo-critical temperature

LaTeX Math Inline
body--uriencoded--P_%7Bpr%7D = P/P_%7Bpc%7D

Pseudo-reduced pressure

LaTeX Math Inline
body--uriencoded--P_%7Bpc%7D

Pseudo-critical pressure


Charts

Implicit Correlations

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These correlations are quite accurate and work in a wide range of pressures and temperatures but computationally expensive and may have problems with convergence when approaching the critical temperature.

Explicit Correlations

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The explicit correlations do not have convergence issues, generate smooth derivatives for compressibility calculations and provide fast computing.

Artificial Neural Network correlations
Ahmed (2017)
Kareem (2016)
Brill & Beggs (1973)
Standing-Katz (1942)
Sanjari and Nemati’s Correlation (2012)
Azizi, Behbahani and Isazadeh’s Correlation (2010)
Heidaryan, Moghdasi and Rahimi’s Correlation (2010)

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See also

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Natural Science / Physics /Thermodynamics / Equation of State / Z-factor

[ Pseudo-Critical Point Correlations @model ]


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Gaganis, An Efficient Method to Predict Compressibility Factor of Natural Gas Streams, energies-12-02577-v2, 2019.pdf

Moiseeva, Malyshev, Compressibility

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factor of natural gas determination by means of molecular dynamics simulations, AIP Advance, 2019doi.org:10.1063:1.5096618.pdf

Kareem, New explicit correlation for the compressibility factor of natural gas, JPEPT, 2016, doi.10.1007:s13202-015-0209-3.pdf

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Univ Leeds

[pdf] Okoro Emeka Emmanuel ,Measurement of the Best Z-Factor Correlation Using Gas Well Inflow Performance Data in Niger-Delta, International Journal of Applied Engineering Research ISSN 0973-4562 Volume 12, Number 12 (2017)