Page 100 - Characterization and Properties of Petroleum Fractions - M.R. Riazi
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         80 CHARACTERIZATION AND PROPERTIES OF PETROLEUM FRACTIONS
         for T c and P c as observed by some researchers [51, 85]. How-
                                                              to back-calculate the critical properties of the heaviest end of
         ever, Eq. (2.42) and subsequently derived Eqs. (2.67) and  error associated with critical properties of heavy fractions is
         (2.68) have the internal consistency and can be used from  the reservoir fluid from an EOS based on a measured physical
         C 5 to C 50 although they are developed for hydrocarbons from  property such as density or saturation pressure [51, 52, 70].
         C 20 to C 50                                         Firoozabadi et al. [63, 64] have studied extensively the wax
          The 1980 Riazi–Daubert correlations for T c and P c were  and asphaltene precipitation in reservoir fluids. They ana-
         generally used and recommended by many researchers for  lyzed various methods of calculating critical properties of
         light fractions (M < 300, carbon number < C 22 ). Yu et al. [84]  heavy petroleum fractions and used Eq. (2.42) for the critical
         used 12 different correlations to characterize the C 7+ plus  properties and acentric factor of paraffins, naphthenes, and
         fraction of several samples of heavy reservoir fluids and bi-  aromatics, but they used Eq. (2.43) for the critical pressure of
         tumens. Based on the results presented on gas-phase compo-  various hydrocarbon groups with M > 300. Their evaluation
         sition, GOR, and saturation pressure, Eqs. (2.63) and (2.64)  was based on the calculation of the cloud point of different
         showed better or equivalent predictions to other methods.  oils. It is believed that fractions with molecular weight greater
         Whitson [53] made a good analysis of correlations for the crit-  than 800 (∼C 57 ) mainly contain aromatic hydrocarbons [63]
         ical properties and their effects on characterization of reser-  and therefore Eq. (2.42) with constants given in Table 2.6 for
         voir fluids and suggested the use of Eqs. (2.63) and (2.64) for  aromatics is an appropriate correlation to estimate the prop- --`,```,`,``````,`,````,```,,-`-`,,`,,`,`,,`---
         petroleum cuts up to C 25 . But later [51] based on his observa-  erties of such fractions.
         tion for phase behavior prediction of heavy reservoir fluids,  More recently Jianzhong et al. [87] reviewed and evalu-
         he recommended the use of Kesler–Lee or Twu for estimation  ated various methods of estimation of critical properties of
         of T c and P c of such fluids, while for estimation of critical  petroleum and coal liquid fractions. Their work followed
         volume he uses Eq. (2.98). Soreide [52] in an extensive eval-  the work of Voulgaris et al. [88], who recommended use of
         uation of various correlations for the estimation of critical  Eq. (2.38) for estimation of critical properties for the purpose
         properties recommends use of the API-TDB [2] method for  of prediction of physical properties of petroleum fractions
         estimation T c and P c (Eqs. (2.65) and (2.66)) but he recom-  and coal liquids. They correctly concluded that complexity
         mends Twu method for the critical volume. His recommenda-  of correlations does not necessarily increase their accuracy.
         tions are based on phase behavior calculations for 68 samples  They evaluated Lee–Kesler, Riazi–Daubert, and Twu meth-
         of North Sea reservoir fluids. In a recently published Hand-  ods with more than 318 compounds (>C 5 ) including those
         book of Reservoir Engineering [48], and calculations made on  found in coal liquids with boiling point up to 418 C (785 F)
                                                                                                        ◦
                                                                                                              ◦
         phase behavior of reservoir fluids [86], Eqs. (2.65), (2.66) have  and specific gravity up to 1.175 [87]. They suggested that
         been selected for the estimation of critical properties of unde-  Eq. (2.38) is the most suitable and accurate relation especially
         fined petroleum fractions. Another possibility to reduce the  when the coefficients are modified. Based on their database,










                             Acentric Factor






















                              FIG. 2.20—Prediction of acentric factor of pure hydrocarbons from Eq. (2.42).
















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