Implicit Z-factor Correlations @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 |
|---|
| Z = \frac{0.27 \, P_{pr}}{y \, T_{pr}} |
| | LaTeX Math Block |
|---|
| 1 + T_1 \, y +T_2 \, y^2 + T_3 \, y^5 + T_4 \, y^2 \, (1+ A_8 \, y^2) \cdot \exp \left( - A_8 \, y^2 \right) - \frac{T_5}{y} = 0 |
|
| LaTeX Math Block |
|---|
| T_1 = A_1 + \frac{A_2 }{ T_{pr} } + \frac{A_3 }{ T_{pr}^3 } |
| | LaTeX Math Block |
|---|
| T_2 = A_4 + \frac{A_5 }{ T_{pr} } |
| | LaTeX Math Block |
|---|
| T_3 = \frac{A_5 \, A_6 }{T_{pr}} |
| | LaTeX Math Block |
|---|
| T_4 = \frac{A_7 }{T_{pr}^3} |
| | LaTeX Math Block |
|---|
| T_5 = \frac{0.27 \, P_{pr} }{T_{pr}} |
|
where
and
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
https://rdrr.io/github/f0nzie/zFactor/man/Dranchuk-Purvis-Robinson.html
