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Implicit Z-factor Correlations @model for the natural gas in the wide range of pseudo-reduced temperature
1.05 \leq T_{pr} \leq 3 and pseudo-reduced pressure
0.2 \leq P_{pr} \leq 15:
(1) |
Z = \frac{0.27 \, P_{pr}}{y \, T_{pr}} |
|
(2) |
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 |
|
(3) |
R_1 = A_1 + A_2 \, t + A_3 \, t^3 + A_4 \, t^4 + A_5 \, t^5 |
|
(4) |
R_2 = \frac{0.27 \, P_{pr}}{T_{pr}} |
|
(5) |
R_3 = A_6 + A_7 \, t + A_8 \, t^2 |
|
(6) |
R_4 = A_9 \, ( A_7 \, t + A_8 \, t^2) |
|
| |
where
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/10.2118/75-03-03
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