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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


Hall and Yarborough’s correlation (Trube 1957)

Dranchuk, Purvis and Robinson’s Correlation (Dranchuket al. 1971)

Dranchuk and Abou-Kassem’s correlation (Abou-kassemand Dranchuk 1975)


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

Explicit Correlations


Kareem Z-factor Correlation @model (2016)

Sanjari and Nemati’s Correlation (2012)

Azizi, Behbahani and Isazadeh’s Correlation (2010)

Heidaryan, Moghdasi and Rahimi’s Correlation (2010)

Brill & Beggs Z-factor Correlation @model (1973)


The explicit correlations do not have convergence issues and provide fast computing.


See also


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


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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 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