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         366 CHARACTERIZATION AND PROPERTIES OF PETROLEUM FRACTIONS
                    Density at a given temperature and pressure,
                 ρ
                                             3
                        3
                                                                          in Chapter 1)
                    g/cm (molar density unit: cm /mol)  14:25         GC Gas condensate (a type of reservoir fluid defined
                ρ M  Molar density at a given temperature and pres-  GOR Gas-to-oil ratio, scf/bbl
                    sure, mol/cm 3                                  HFT Hydrate formation temperature
                 ω Acentric factor defined by Eq. (2.10), dimen-      IFT Interfacial tension
                    sionless                                         LLE Liquid–liquid equilibria
                 ˆ μ i  Chemical potential of component i in a mixture  LMP Low molecular weight n-paraffins (i.e., C 3 , n-C 5 ,
                    defined by Eq. (6.115)                                 n-C 7 )
                 δ i  Solubility parameter for i defined in Eq. (6.147),  LVS liquid–vapor–solid
                                     3 1/2
                         3 1/2
                    (J/cm )  or (cal/cm )                             LS Liquid–solid
                 γ i  Activity coefficient of component i in liquid so-  MeOH Methanol
                    lution defined by Eq. (6.112), dimensionless       PR Peng–Robinson EOS (see Eq. 5.39)
                    Difference between heat capacity of liquid and  SRK Soave–Redlich–Kwong EOS given by Eq. (5.38)
               C Pi
                    solid for pure component i at its melting (freez-     and parameters in Table 5.1
                                     S
                    ing) point (= C L Pi  − C ), J/mol · K          SAFT Statistical  associating  fluid  theory  (see
                                     Pi
                H f  Heat of fusion (or latent heat of melting) for       Eq. 5.98)
                 i
           --`,```,`,``````,`,````,```,,-`-`,,`,,`,`,,`---
                    pure component i at the freezing point and       SLE Solid–liquid equilibrium
                    1.013 bar, J/mol                                  scf Standard cubic foot (unit for volume of gas at
                                                                          1 atm and 60 F)
                                                                                     ◦
                                                                      stb Stock tank barrel (unit for volume of liquid oil
         Superscript
                                                                          at 1 atm and 60 F)
                                                                                       ◦
                 L Value of a property at liquid phase             VABP Volume average boiling point defined by
                 V Value of a property at vapor phase                     Eq. (3.3).
                 S Value of a property at solid phase               VLE Vapor–liquid equilibrium
                                                                   VLSE Vapor–liquid–solid equilibrium
                                                                      VS Vapor–solid
         Subscripts
                                                                    VSE Vapor–solid equilibrium
                 A Value of a property for component A              WAT Wax appearance temperature
                 A Value of a property for asphaltenes              WPT Wax precipitation temperature
                 c Value of a property at the critical point       %AAD Average absolute deviation percentage defined
                i, j  Value of a property for component i or j in a       by Eq. (2.135)
                    mixture                                         %AD Absolute deviation percentage defined by
                 L Value of a property for liquid phase                   Eq. (2.134)
                 M Value of a property at the melting point of a     wt% Weight percent
                    substance
                pc Pseudocritical property                    ONE OF THE MAIN APPLICATIONS of science of thermodynamics
                 S Value of a property at the solid phase     in the petroleum industry is for the prediction of phase behav-
                 S Value of a property for solvent (LMP)      ior of petroleum fluids. In this chapter calculations related to
                  s Specific property (quantity per unit mass)  vapor–liquid and solid–liquid equilibrium in petroleum flu-
                 T  Values of property at temperature T       ids are presented. Their application to calculate gas–oil ratio,
                 tc True critical property                    crude oil composition, and the amount of wax or asphaltene
                 tr Value of a property at the triple point   precipitation in oils under certain conditions of temperature,
                20 Values of property at 20 C                 pressure, and composition is presented. Methods of calcula-
                                        ◦
                7+ Values of a property for C 7+ fraction of an oil  tion of wax formation temperature, cloud point temperature
                                                              of crude oils, determination of onset of asphaltene, hydrate
                                                              formation temperature, and methods of prevention of solid
         Acronyms                                             formation are also discussed. Finally application of character-
              ABSA Alkyl benzene sulfonic acid                ization techniques, methods of prediction of transport prop-
           API-TDB American Petroleum Institute—Technical Data  erties, equations of state, and phase equilibrium calculations
                    Book (see Ref. [12])                      are demonstrated in modeling and evaluation of gas injection
               BIP Binary interaction parameter               projects.
                bbl Barrel, unit of volume of liquid as given in Sec-
                    tion 1.7.11
               CPT Cloud-point temperature                    9.1 TYPES OF PHASE EQUILIBRIUM
                                                              CALCULATIONS
                cp Centipoise, unit of viscosity, (1 cp = 0.01 p =
                    0.01 g · cm · s = 1 mPa · s = 10 −3  kg/m · s)
                cSt Centistoke, unit of kinematic viscosity, (1 cSt =  Three types of phase equilibrium, namely, vapor–liquid
                                   2
                    0.01 St = 0.01 cm /s)                     (VLE), solid–liquid (SLE), and liquid–liquid (LLE), are of
              EOR Enhanced oil recovery                       particular interest in the petroleum industry. Furthermore,
               EOS Equation of state                          vapor–solid (VSE), vapor–liquid–solid (VLSE), and vapor–
                FH Flory–Huggins                              liquid–liquid (VLLE) equilibrium are also of importance in








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