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 LaTeX Math Inline |
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body | --uriencoded--P_%7Bpr%7D < 1.0 |
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Explicit natural gas viscosity correlation:zZ = \frac{0.27 \, P_{pr}}{y \, T_{pr}} |
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1 + T_1 \, y +T_2 \, y^2 + T_3 \, y^5 + T_4 \, y^2 \, (1+ A_8 \, y^2)\mu_g = K \cdot \exp \left( |
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- A_8y^2 - \frac{T_5}{y} = 0AT_1A_1 +A_2 }{ T_{pr} } + \frac{A_3 }{ T_{pr}^3 9.379 + 0.01607 \, MW_g}{209.2 + 19.26 \, MW_g +T} |
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BT_2A_4A_5 _{pr} LaTeX Math Block |
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T_3 = \frac{A_5 \, A_6 }{T_{pr}}ET_4\frac{A_7 }{T_{pr}^3} LaTeX Math Block |
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T_5 = \frac{0.27 \, P_{pr} }{T_{pr}} where
Z | Z-factor | | fluid temperature --uriencoded--T_%7Bpr%7D = T/_%7Bpc%7Dpseudo-reduced temperature (or reduced temperature--uriencoded--T_%7Br%7D | in case of pure substances)--uriencoded--T_%7Bpc%7D | pseudo-critical temperature (or critical temperature LaTeX Math Inline |
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body | --uriencoded--T_%7Bc%7D |
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| in case of pure substances) | | fluid pressure | LaTeX Math Inline |
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body | --uriencoded--P_%7Bpr%7D = P/P_%7Bpc%7D |
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| pseudo-reduced pressure (or reduced pressure LaTeX Math Inline |
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body | --uriencoded--P_%7Br%7D |
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| in case of pure substances)
| LaTeX Math Inline |
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body | --uriencoded--P_%7Bpc%7D |
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| pseudo-critical pressure (or critical pressure LaTeX Math Inline |
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body | --uriencoded--P_%7Bc%7D |
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| in case of pure substances) |
and
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The model range and statistical metrics:
See also
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Petroleum Industry / Upstream / Subsurface E&P Disciplines / Fluid (PVT) Analysis / Fluid (PVT) modelling / Dynamic fluid viscosity / Dynamic fluid viscosity @model
See also
Natural Science / Physics /Thermodynamics / Z-factor / Z-factor Correlations @model Natural gas viscosity correlations
Reference
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DranchukLee, PA. ML., PurvisGonzalez, RM. AH., & Eakin, and DB. BE. 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: (1966). The Viscosity of Natural Gases. Journal of Petroleum Technology, 18(08), 997–1000. doi:10.2118/1340-PA (https://doi.org/10.2118/731340-112PA)