Page 350 - Characterization and Properties of Petroleum Fractions - M.R. Riazi
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                        AT029-Manual-v7.cls
                                           June 22, 2007
  AT029-08
            AT029-Manual
         330 CHARACTERIZATION AND PROPERTIES OF PETROLEUM FRACTIONS
         Greek Letters
                                          2
                                                  2
                                                               A Value of a property for component A
             α  Thermal diffusivity (= k/ρC p ), m /s or cm /s  14:25  Subscripts
           α AB  A thermodynamic parameter for nonideality of a  B Value of a property for component B
               liquid mixture defined by Eq. (8.63), dimension-  b Value of a property at the normal boiling point
               less                                             c Value of a property at the critical point
            ε i  Energy parameter for component i (see Eq. 8.57)  i, j  Value of a property for component i or j in a mixture
             ij  Dimensionless parameter defined in Eq. (8.7)   L Value of a property for liquid phase
             φ  Porosity of a porous media (Eq. 8.73), dimension-  m Mixture property
               less                                           od Value of a property for dead oil (crude oil) at atmospheric
           θ wo  Oil–water contact angle, in degrees as used in Eq.  pressure
               (8.84)                                           r Reduced property
             ρ  Density at a given temperature and pressure, g/cm 3  T  Values of property at temperature T
                                   3
               (molar density unit: cm /mol)                   w Values of a property for water
                                                                                      ◦
           ρ M  Molar density at a given temperature and pressure,  20 Values of property at 20 C
               mol/cm 3
               Reduced density (= ρ/ρ c = V c /V), dimensionless
            ρ r
               Oil density at a given temperature, g/cm 3
            ρ o                                               Acronyms
               Water density at a given temperature, g/cm 3
            ρ w
             σ  Molecular size parameter, ˚ A[1 ˚ A = 10 −10  m]  API-TDB American Petroleum Institute—Technical Data
             σ  Surface tension of a liquid at a given temperature,     Book (see Ref. [5])
               dyn/cm                                              BIP Binary interaction parameter
               Surface tension of a hydrocarbon at a given temper-  bbl Barrel, unit of volume of liquid as given in Section
            σ H
               ature, dyn/cm                                            1.7.11.
           σ wo  Interfacial tension of oil and water at a given temper-  cp Centipoise, unit of viscosity, (1 cp = 0.01 p = 0.01
               ature, dyn/cm                                            g · cm · s = 1 mPa · s = 10 −3  kg/m · s)
           σ so  Surface tension of water with rock surface, dyn/cm  cSt Centistoke, unit of kinematic viscosity, (1 cSt =
                                                                                      2
             ω Acentric factor defined by Eq. (2.10), dimensionless      0.01 St = 0.01 cm /s)
             ξ  Viscosity parameter defined by Eq. (8.5), (cp) −1  DIPPR Design Institute for Physical Property Data (see
            μ Absolute viscosity, mPa · s (cp)                          Ref. [10])
            μ a  Viscosity at atmospheric pressure, mPa · s (cp)  EOS Equation of state
            μ c  Critical viscosity, mPa · s (cp)                 GLR Gas-to-liquid ratio
           μ P  Viscosity at pressure P, mPa · s                   IFT Interfacial tension
            μ r  Reduced viscosity (= μ/μ c ), dimensionless      PNA Paraffins, naphthenes, aromatics content of a
                                                  2
             ν  Kinematic viscosity (= μ/ρ), cSt (10 −2  cm /s)         petroleum fraction
                                                     ◦
                                               ◦
         ν 38(100)  Kinematic viscosity of a liquid at 37.8 C (100 F), cSt  scf Standard cubic foot (unit for volume of gas at 1
                       2
               (10 −2  cm /s)                                           atm and 60 F).
                                                                                 ◦
              Molecular energy parameter (i.e., see Eqs. 8.31 or   stb Stock tank barrel (unit for volume of lquid oil at 1
               8.57)                                                    atm and 60 F).
                                                                                 ◦
            
  Parameter defined in Eq. (8.38)
                                                  −1
             λ Parameter defined in Eq. (8.34), m · s · mol .  IN THIS CHAPTER, application of various methods presented
               Activity coefficient of component A in liquid solution
            γ A                                               in previous chapters is extended to estimate another type of
               defined by Eq. (6.112), dimensionless           physical properties, namely, transport properties for various
               Association parameter defined in Eq. (8.60), dimen-
             AB                                               petroleum fractions and hydrocarbon mixtures. Transport
               sionless                                       properties generally include viscosity, thermal conductivity,
             τ  Tortuosity, dimensionless parameter defined for pore  and diffusion coefficient (diffusivity). These are molecular
               connection structure in a porous media system (see  properties of a substance that indicate the rate at which
               Eq. 8.71)                                      specific (per unit volume) momentum, heat, or mass are
            τ yx  x component of momentum flux in the y direction,  transferred. Science of the study of these processes is called
               N/m 2                                          transport phenomenon. One good text that describes these
               --`,```,`,``````,`,````,```,,-`-`,,`,,`,`,,`---
            π  A numerical constant = 3.14159265
                                                              processes was written by Bird et al. [1]. The first edition
                                                              appeared in 1960 and remained a leading source for four
                                                              decades until its second publication in 1999. A fourth prop-
         Superscript
                                                              erty that also determines transport of a fluid is surface or
         g Value of a property for gas phase                  interfacial tension (IFT), which is needed in calculations re-
         ig Value of a property for component “i” as ideal gas at tem-  lated to the rise of a liquid in capillary tubes or its rate of
            perature T and P → 0                              spreading over a surface. Among these properties, viscosity is
         L Value of a property at liquid phase                considered as one of the most important physical properties
         V Value of a property at vapor phase                 for calculations related to fluid flow followed by thermal con-
         o Value of a property at low pressure (ideal gas state) con-  ductivity and diffusivity. Interfacial tension is important in
            dition at a given temperature                     reservoir engineering calculations to determine the rate of oil








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