Page 291 - Characterization and Properties of Petroleum Fractions - M.R. Riazi
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P2: KVU/KXT
                            QC: —/—
  P1: KVU/KXT
                                           June 22, 2007
                        AT029-Manual-v7.cls
            AT029-Manual
  AT029-06
                                                        20:46
                                                        Pressure, PSIA
                                               4 50
                                                                                 3,000
                                                  6 7 8 9100
                                                                                       6 7 8 910,000
                                                               300
                                                                  4 500
                                                                     6 7 8 91,000
                                                                                    4
                                                                               2
                                         2
                                                            2
                                 1,000 10  T1: IML 30  6. THERMODYNAMIC RELATIONS FOR PROPERTY ESTIMATIONS 271
                                   9                                                        9
                                   8                                                        8
                                   7                                                        7
                                   6                                                        6
                                   5                                                        5
                                   4                                                        4
                                   3                                                        3
                                   2                                                        2
                                  100
                                   9                                                        9
                                   8                                                        8
                                   7                                                        7
                                   6                                                        6
                                   5                                                        5
                                   4                                                        4
                                   3                       Temperature °F                   3
                                   2                      100                               2
                                                           200
                                                          300-500
                                                         0 50
                                                        –50
                                  10
                                   9                                                        9
                                   8                                                        8
                                   7                                                        7
                                   6                                                        6
                                   5                                                        5
                                                                                                                      --`,```,`,``````,`,````,```,,-`-`,,`,,`,`,,`---
                                   4                                                        4
                               K =  y /x  3                                                 3  K =  y /x
                                   2                                                        2
                                  10
                                   9                                                        9
                                   8                                                        8
                                   7                                                        7
                                   6                                                        6
                                   5                                                        5
                                   4                                                        4
                                   3                                                        3
                                   2                                                        2
                                  0.1
                                   9                                                        9
                                   8                                                        8
                                   7                                                        7
                                   6                                                        6
                                   5                                                        5
                                   4                                                        4
                                   3                                                        3
                                   2                                                        2
                                  0.01
                                    10   2  30  4 50  6 7 8 9100  2  300  4 500  6 7 8 91,000  2  3,000  4  6 7 8 910,000
                                                        Pressure, PSIA         Methane
                                                                         CONV. PRESS. 5000 PSIA
                                FIG. 6.19—K i values of methane. Unit conversion:  ◦ F = C × 1.8 + 32 psia =
                                                                                 ◦
                              14.504 × bar. Taken with permission from Ref. [28].
            components from methane to decane and hydrogen sulfide.  Hoffman original correlation:
            Equilibrium ratios are perhaps the most important parameter
            for high-pressure VLE calculations as described in Chapter 9.  K i =  1  × 10 (a+cF)
              For hydrocarbon systems and reservoir fluids there are            P
            some empirical correlations for calculation of K i values. The       1   1
            correlation proposed by Hoffman et al. [39] is widely used in  (6.202)  F = b  −  T
                                                                                T B
            the industry. Later Standing [40] used values of K i reported                    −3            −5  2
            by Katz and Hachmuth [41] on crude oil and natural gas       a = 0.0385 + 6.527 × 10  P + 3.155 × 10  P
            systems to obtain the following equations based on the       c = 0.89 − 2.4656 × 10 −3  P − 7.36261 × 10 −6 P 2









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