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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

and also a specific range of

LaTeX Math Inline
body--uriencoded--0.7 < T_%7Bpr%7D \leq 1.0
 and
LaTeX Math Inline
body--uriencoded--P_%7Bpr%7D < 1.0
:

LaTeX Math Block
anchorz
alignmentleft
Z = \frac{0.27 \, P_{pr}}{y \, T_{pr}}
LaTeX Math Block
anchory
alignmentleft
R_5
1 + T_1 \, y  +T_2 \, y^2 + T_3 \, y^5 + T_4 \, y^2 \, (1+ A_
{11}
8 \, y^2) \cdot \exp \left( - A_
{11}
8 \, y^2  \right)
+
R_1
\, y 
- \frac{
R
T_
2
5}{y}
+R_3 \, y^2 - R_4 \, y^5 +1 
= 0


LaTeX Math Block
anchorA
alignmentleft
R
T_1 = A_1 + \frac{A_2
\, t + A_3 \, t^3
}{ T_{pr} } + \frac{A_
4
3
\, t^4 + A_5 \, t^5
}{ T_{pr}^3 }
LaTeX Math Block
anchorB
alignmentleft
R
T_2 = A_4 + \frac{
0.27 \, P_{pr}
A_5 }{ T_{pr} }
LaTeX Math Block
anchorD
alignmentleft
R
T_3 = \frac{A_
6 + A_7
5 \,
t +
 A_
8 \, t^2
6 }{T_{pr}}
LaTeX Math Block
anchorE
alignmentleft
R
T_4 =
A_9
 \
cdot ( 
frac{A_7
\, t + A_8 \, t^2) 
}{T_{pr}^3}
LaTeX Math Block
anchor
t
E
alignmentleft
R
T_5 =
A_{10}
\frac{0.27 \,
t^3 LaTeX Math Block
anchort
alignmentleft
t= \frac{1
P_{pr} }{T_{pr}}

where

LaTeX Math Inline
bodyZ

Z-factor

LaTeX Math Inline
bodyT

fluid temperature 

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

pseudo-reduced temperature 
(or reduced temperature 

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

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

 pseudo-critical temperature 
(or critical temperature 

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

LaTeX Math Inline
bodyP

fluid pressure

LaTeX Math Inline
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)

and

LaTeX Math Inline
bodyA_1 = 0.

3265

31506237

LaTeX Math Inline
bodyA_2 = -1.

070

0467099

LaTeX Math Inline
bodyA_3 = -0.

5339

57832729

LaTeX Math Inline
bodyA_4 = 0.

01569

53530771

LaTeX Math Inline
bodyA_5 = -0.

05165

61232032

LaTeX Math Inline
bodyA_6 = -0.

5475

10488813

LaTeX Math Inline
bodyA_7 =

-

0.

7361

68157001

LaTeX Math Inline
bodyA_8 = 0.

1844

LaTeX Math Inline
bodyA_9 = 0.1056

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

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

68446549

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