Page 172 - Characterization and Properties of Petroleum Fractions - M.R. Riazi
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            AT029-Manual
                                                        21:30
                        AT029-Manual-v7.cls
  AT029-04
                                           June 22, 2007
                                                                                                      4
         Characterization of Reservoir                                                         MNL50-EB/May 2007
         Fluids and Crude Oils

         NOMENCLATURE                                           x ∗  Defined in Eq. (4.56) [=1 − x c ]
                                                                 X  Parameter defined in Eq. (4.57) [= ln ln(1/x )]
                                                                                                        ∗
            API API Gravity defined in Eq. (2.4)                  Y  Parameter defined in Eq. (4.57) [= ln P ]
                                                                                                    ∗
            A, B Coefficients in Eq. (4.56) and other equations   y i  A Gaussian quadrature point in Section 4.6.1.1
         a, b, ... i  Correlation constants in various equations  Z c  Critical compressibility factor defined by Eq. (2.8),
             CH Carbon-to-hydrogen weight ratio                     dimensionless
                                  ◦
             d 20  Liquid density at 20 C and 1 atm, g/cm 3     z j  Predicted mole fraction of pseudocomponent i in a C 7+
              d c  Critical density defined by Eq. (2.9), g/cm 3     fraction
              E Error function defined in Eqs. (4.41) or (4.42)  w i  A weighting factor in Gaussian quadrature splitting
           F(P) Probability density function in terms of property P  scheme
              h Difference in molecular weight of successive SCN
                 groups                                       Greek Letters
                 Equilibrium ratio for a component whose boiling
             K T                                                 α  Parameter for gamma distribution model, Eq. (4.31)
                 point is T                                         Composite parameter for gamma distribution model,
                 Watson (UOP) K factor defined by Eq. (2.13)      β
             K W                                                    Eq. (4.31)
              I  Refractive index parameter defined in Eq. (2.36)    Solubility parameter [=cal/cm ]
                                                                                             3 1/2
              J  Integration parameter defined in Eq. (4.79),     δ  Error parameter
                                                                 ε
                 dimensionless                                 (x) Gamma function defined by Eq. (4.43)
              M Molecular weight, g/mol [kg/kmol]            (a, q) Incomplete gamma function defined by Eq. (4.89)
             M b  Variable defined by Eq. (4.36)                  γ  Activity coefficient
             N C  Carbon number (number of carbon atoms in       η Coefficient in gamma distribution model, Eq. (4.31)
                 a single carbon number hydrocarbon group)       ϕ  Fugacity coefficient
             N P  Number of pseudocomponents                        Chemical potential of component i in a mixture
                 Carbon number of the residue or plus fraction  μ i
             N +                                                 θ  A property of hydrocarbon such as M, T c , P c , V c , I, d,
                 in a mixture
                                                                    T b ,...
              n Refers to carbon number in a SCN group           ρ  Density at a given temperature and pressure, g/cm 3
                                                     ◦
             n 20  Sodium D line refractive index of liquid at 20 C and  σ  Surface tension, dyn/cm [=mN/m]
                 1 atm, dimensionless
              P  A property such as T b , M, SG, or I used       ω Acentric factor
                 in a probability density function
             P  ∗  Dimensionless parameter defined by Eq. (4.56) as  Superscript
                 [=(P − P o )/P o ].                             c Adjusted pseudocritical properties for the effects of
             P pc  Pseudocritical pressure, bar                     nonhydrocarbon compounds in natural gas system
            P vap  Vapor (saturation) pressure, bar                 as given by Eqs. (4.5) and (4.6).
                            2
             R 2  R squared (R ), defined in Eq. (2.136)         cal Calculated value
             SG Specific gravity of liquid substance at 15.5 C (60 F)  exp Experimental value
                                                        ◦
                                                   ◦
                 defined by Eq. (2.2), dimensionless              i  A component in a mixture.
                 Specific gravity of gas substance at 15.5 C (60 F)
                                                        ◦
                                                   ◦
            SG g                                                 j  A pseudocomponent in a C 7+ fraction
                 defined by Eq. (2.6), dimensionless              L Liquid phase
                 Boiling point, K
              T b                                                V Vapor phase
                 Reduced boiling point (=T b /T c in which both T b and
             T br                                                − Lower value of a property for a SCN group
                 T c are in K), dimensionless                    + Upper value of a property for a SCN group
                 Pseudocritical temperature, K
             T pc
                                3
              V  Molar volume, cm /gmol                       Subscripts
                                        3
              V c  Critical volume (molar), cm /mol (or critical
                                 3
                 specific volume, cm /g)                          A Aromatic
              x c  Cumulative mole, weight, or volume fraction  av Average value for a property
             x cm  Cumulative mole fraction                      c Cumulative fraction
             x mi  Discrete mole fraction of component i        M Molecular weight
                                                           152
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