Page 58 - Handbook Of Multiphase Flow Assurance
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Fluid characterization                       53

              Group contribution method (Joback and Reid, 1987) may be used to estimate boiling point
            of a one specific hydrocarbon molecule.
              However, this method would require estimating properties for hundreds of hydrocarbon
            molecules to find boiling point cuts which would introduce inaccuracy by developing a cor-
            relation from a correlation.
              Katz and Firoozabadi (1978) report boiling points for up to C 45  and interaction coefficients
            for n-C 4  and heavier for use with Peng-Robinson-AGA procedure to find fluid properties.
            This method was adopted by Pedersen (Pedersen, 1989) to correlate Tb with MW and SG.
            Correlation is used up to C 45 , then adds 6K for each carbon number.

                                     °
                                    
                                 Tb R = 97 58.  MW 0 3323^ .  SG 0 04609^ .
                                       
                                    
              However, this method does not provide a formula directly usable by an engineer to cor-
            relate carbon number with boiling point as it requires density of each fraction.
              An additional correlation was developed here based on 188 hydrocarbons including n- alkanes,
            isoalkanes and aromatics which relates carbon number to boiling point, applicable to C 5 +.
                                                   (
                                                          #
                                  Tb K [] = 240 71 ∗ LN carbon ) − 90 5.,  for C +
                                            .
                                                                      5
              Boiling temperatures [K] for C 1 –C 4  are 111.15, 180.82, 236.75, 276.15.
              This formula may be used when composition analysis is reported in a form of true boiling
            point analysis of volume % hydrocarbon vs temperature.
              Conversion of TBP data from volume to weight fractions facilitates the further fluid char-
            acterization by permitting conversion of boiling point to carbon number.
              Inverse form of the correlation shown in Fig. 3.5 is:
                                                             . )
                                 carbon # = 1 .455 exp( Tb[] 240 69  ,  for C 5 +
                                                         /
                                                       K
              or
                                    carbon # = exp ( (  Tb[]+ 90 5  . ) .
                                                            ./ ) 240 69
                                                      K
                                   1000
                                            y = 240.69ln(x) - 90.295
                                   900           R² = 0.969
                                   800
                                  Boiling Temperature, K  700
                                   600
                                   500
                                   400
                                   300
                                   200
                                   100
                                     0
                                      1               10              100
                                                 Carbon Number
            FIG. 3.5  Correlation of boiling temperature versus carbon number for pentane and heavier hydrocarbons.
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