McCain Oil density correlation

Brief

McCain is an empirical correlation for the oil density published in 1995 .

Oil density in the PVT Tool

Math & Physics

Pseudoliquid density:

$\rho_{po} = 52.8 - 0.01 R_{sb}$

Apparent liquid density:

$\rho_a = -49.8930 + 85.0149\ SG_g - 3.70373\ SG_g\ \rho_{po} + 0.0479818\ SG_g\ \rho_{po}^2 + 2.98914\ \rho_{po} - 0.0356888\ \rho_{po}^2$

Next pseudoliquid density:

$\rho_{po} = \frac{R_s\ SG_g + 4,600\ SG_o}{73.71+R_s\ SG_g\ / \rho_a}$

Iterate until pseudoliquid densities are equal.

Adjust density to the pressure of interest:

$\rho_{bs} = \rho_{po} + \triangle \rho_p$

where

$\rho_{p} = \left ( 0.617 + 16.181 \times 10^{-0.0425\ \rho_{po}} \right) \frac{P}{1000} - 0.01 \left ( 0.299 + 263 \times 10^{-0.0603\ \rho_{po}}\right)\ \left (\frac{P}{1000}\right)^2$

Adjust density to the temperature of interest:

$\rho_{o} = \rho_{bs} + \triangle \rho_t$

where

Failed to parse (syntax error): \rho_{t} = (0.00302 + 1.505\ \rho_{bs}^{-0.951}) (T - 60)^0.938 - (0.0216 - 0.0233\ (10^{-0.0161\ \rho_{bs}))(T - 60)^0.475

Adjust density above the bubble point pressure:

Application range

Description of the Data Used:

$20 \le R_s \le 2,070$

$0.75 \le SG_o \le 0.96$

$0 \le P \le 5250$

$70 \le T \le 295$

Number of oil systems = 600
Number of dead oil observations = 460
Number of live oil observations = 2,073

Nomenclature

$A$ = coefficient

$B$ = coefficient

$m$ = coefficient

$P$ = pressure, psia

$R_s$ = solution gas-oil ratio, scf/stb

$SG_o$ = oil specific gravity, dimensionless

$T$ = temperature, °F

$x$ = coefficient

$\mu$ = viscosity, cP

Subscripts

b - bubble point

od - dead oil

os - saturated oil

o - undersaturated oil