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P2: IML/FFX
                           QC: IML/FFX
  P1: IML/FFX
            AT029-Manual
                                                          17:42
                                           August 16, 2007
  AT029-05
         216 CHARACTERIZATION AND PROPERTIES OF PETROLEUM FRACTIONS













            --`,```,`,``````,`,````,```,,-`-`,,`,,`,`,,`---
                        Compressibility Factor, Z  AT029-Manual-v7.cls  T1: IML  Reduced Pressure, Pr  Compressibility Factor, Z


































                                                     Reduced Pressure, Pr
                          FIG. 5.12—Standing–Katz generalized chart for compressibility factor of natural gases
                         (courtesy of GPSA and GPA [53]).
                 (k)
         where dF /dy is the derivative of F with respect to y at y =  Calculations must be continued until the difference between
         y (k)  and it is given by the following relation:    y (k+1)  − y (k)  becomes smaller than a tolerance (e.g., 10 −10 ).
                                                                As mentioned before, the Standing–Katz chart or its equiv-
                                                              alent Hall–Yarborough correlation is applicable only to light
                        2
                             3
         dF    1 + 4y + 4y − 4y + y 4                         hydrocarbons and they are not suitable to heavier fluids such
            =                                                 as gas condensates, ω of which is not near zero. For this rea-
         dy          (1 − y) 4
                                                              son a modified version of two-parameter CSC is needed. As

              − 29.52T r −1  − 19.52T r −2  + 9.16T r −3    y  it can be seen from Table 2.1, for more complex compounds,

              + 2.18 + 2.82T r −1     × 90.7T r −1  − 242.2T r −2  + 42.4T r −3    value of Z c decreases from those for simple fluids and Eq.

                                                              (5.101) with constant Z c is no longer valid. A parameter that
                        −1
              × y ( 2.18+2.82T r )                            indicates complexity of molecules is acentric factor that was
        (5.106)                                               defined by Eq. (2.10). Acentric factor, ω, is defined in a way










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