Implicit Z-factor Correlations @model for the natural gas in the wide range of pseudo-reduced temperature
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| body | --uriencoded--1.0 < 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 30 |
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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
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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_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 |
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| R_1 = A_1 + A_2 \, t + A_3 \, t^3 + A_4 \, t^4 + A_5 \, t^5 |
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| R_2 = \frac{0.27 \, P_{pr}}{T_{pr}} |
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| R_3 = A_6 + A_7 \, t + A_8 \, t^2 |
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| R_4 = A_9 \cdot ( A_7 \, t + A_8 \, t^2) |
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| R_5 = A_{10} \, t^3 |
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| t= \frac{1}{T_{pr}} |
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where
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
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
https://rdrr.io/github/f0nzie/zFactor/man/Dranchuk-AbouKassem.html
