Page 172 - Characterization and Properties of Petroleum Fractions - M.R. Riazi
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AT029-Manual
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AT029-Manual-v7.cls
AT029-04
June 22, 2007
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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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