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

LaTeX Math Inline
body--uriencoded--1.0 < T_%7Bpr%7D \leq 3.0
 and pseudo-reduced pressure 
LaTeX Math Inline
body--uriencoded--0.2 \leq P_%7Bpr%7D \leq 30

...

LaTeX Math Block
anchorz
alignmentleft
Z = \frac{0.27 \, P_{pr}}{y \, T_{pr}}
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anchory
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1 + T_1 \, y + T_2 \, y^2 + T_3 \, y^5  + T_4 \, y^2 \, (1=+ A_{11} \, y^2) \, \exp (- A_8{11} \, y^2) - \frac{T_5/}{y} = 0

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anchorz
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T_1 = A_1 + \frac{A_2}{T_{pr}} +  \frac{A_3}{T_{pr}^3}
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anchorz
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T_2 = A_4+ +  \frac{A_54}{T_{pr}^4}
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anchorz
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T_3 = +  \frac{A_5 \, A_6}{T_{pr}^5}
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anchorz
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T_42 = A_6 + \frac{A_7}{T_{pr}^3}
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anchorNDRCA
alignmentleft
T_5 =+  \frac{0.27 \, P_{pr} A_8}{T_{pr}^2}

...
LaTeX Math Block
anchorz
alignmentleft
Z = \frac{0.27 \, P_{pr}}{y \, T_{pr}}
LaTeX Math Block
anchory
alignmentleft
R_5 \, y^2 \, (1+ A_{11} \, y^2)
T_3 = - A_9 \cdot \
exp
left[
 \
left( - 
frac{A_
{11} \, y^2 \right) + R_1 \, y - \frac{R_2}{y} +R_3 \, y^2 - R_4 \, y^5 +1 = 0
7}{T_{pr}} +  \frac{A_8}{T_{pr}^2}  
\right]
LaTeX Math Block
anchor
A LaTeX Math Block
anchorB
alignmentleft
R_2 = \frac{0.27 \, P_{pr
z
alignmentleft
R_1 = A_1 + A_2 \, t + A_3 \, t^3 + A_4 \, t^4 + A_5 \, t^5
T_4 =\frac{A_{10}}{T_{pr}
} LaTeX Math Block
anchorD
alignmentleft
R_3 = A_6 + A_7 \, t + A_8 \, t^2
^3}
LaTeX Math Block
anchor
E
NDRCA
alignmentleft
R
T_
4
5 =
A_9 \cdot ( A_7
\frac{0.27 \,
t + A_8 \, t^2)
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anchort
alignmentleft
R_5 = A_{10} \, t^3
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anchort
alignmentleft
t= \frac{1
P_{pr} }{T_{pr}}

where

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bodyZ

Z-factor

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bodyT

fluid temperature 

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

pseudo-reduced temperature 
(or reduced temperature 

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body--uriencoded--T_%7Br%7D
 in case of pure substances)

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body--uriencoded--T_%7Bpc%7D

 pseudo-critical temperature 
(or critical temperature 

LaTeX Math Inline
body--uriencoded--T_%7Bc%7D
 in case of pure substances)

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bodyP

fluid pressure

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

pseudo-reduced pressure 
(or reduced pressure 

LaTeX Math Inline
body--uriencoded--P_%7Br%7D
 in case of pure substances)

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

 pseudo-critical pressure 
(or critical pressure 

LaTeX Math Inline
body--uriencoded--P_%7Bc%7D
 in case of pure substances)

...

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bodyA_1 = 0.3265

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bodyA_2 = -1.070

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bodyA_3 = - 0.5339

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bodyA_4 = 0.01569

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bodyA_5 = - 0.05165

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bodyA_6 = 0.5475

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bodyA_7 = -0.7361

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bodyA_8 = 0.1844

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bodyA_9 = 0.1056

LaTeX Math Inline
body--uriencoded--A_%7B10%7D = 0.6134

LaTeX Math Inline
body--uriencoded--A_%7B11%7D = 0.7210


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/10.2118/75-03-03https://rdrr.io/github/f0nzie/zFactor/man/Dranchuk-AbouKassem.html