Difference between revisions of "McCain Oil density correlation"

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:<math>\rho_{t} = (0.00302 + 1.505\ \rho_{bs}^{-0.951}) (T - 60)^{0.938}</math>
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:<math>\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} </math>
 
:<math>\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} </math>

Revision as of 12:30, 26 July 2017

Brief

McCain is an empirical correlation for the oil density published in 1995 [1].

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

\rho_{t} = (0.00302 + 1.505\ \rho_{bs}^{-0.951}) (T - 60)^{0.938}


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:

Discussion

Application range

Description of the Data Used[2]:

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

References

  1. ↑ McCain, W.D. Jr.; Hill, N. C. (1995). "Correlations for Liquid Densities and Evolved Gas Specific Gravities for Black Oils During Pressure Depletion"Free registration required. Society of Petroleum Engineers (SPE-30773-MS). 
  2. ↑ Cite error: Invalid <ref> tag; no text was provided for refs named BR1975
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