Implicit Implicit Z-factor Correlations correlation @model for the natural gas in the wide range of pseudo-reduced temperature
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body | --uriencoded--1.05 \leq 0 < T_%7Bpr%7D \leq 3.0 |
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and
pseudo-reduced pressure LaTeX Math Inline |
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body | --uriencoded--0.2 \leq P_%7Bpr%7D \leq 1530 |
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and also a specific range of
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body | --uriencoded--0.7 < T_%7Bpr%7D \leq 1.0 |
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and LaTeX Math Inline |
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body | --uriencoded--P_%7Bpr%7D < 1.0 |
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:
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| Z = \frac{0.27 \, P_{pr}}{y \, T_{pr}} |
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R_51 + T_1 \, y + T_2 \, y^2 + T_3 \, y^5 + T_4 \, y^2 \, (1+ A_{11} \, y^2) \ |
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cdot\left \right
+ R_1\, y R2 +R_3 \, y^2 - R_4 \,y^5 +1 AR \, t + A_3 \, t^3 + A_4 \, t^4 + A_5 \, t^5 LaTeX Math Block |
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R_2 = \frac{0.27 \, P_{pr}}}{T_{pr}} + \frac{A_3}{T_{pr}^3} + \frac{A_4}{T_{pr}^4} + \frac{A_5}{T_{pr}^5} |
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DR3 \, t + A_8 \, t^2}{T_{pr}} + \frac{A_8}{T_{pr}^2} |
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ER4, ( \, t + A_8 \, t^2) }{T_{pr}} + \frac{A_8}{T_{pr}^2}
\right] |
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tR5 10 \, t^3tt1where
and
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body | --uriencoded--A_%7B10%7D = 0.6134 |
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body | --uriencoded--A_%7B11%7D = 0.7210 |
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See also
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Natural Science / Physics /Thermodynamics / Z-factor / Z-factor Correlations @model
Reference
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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/10.2118/75-03-03Lateef 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