Difference between revisions of "McCain Oil density correlation"

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=== Math & Physics ===
 
=== Math & Physics ===
  
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Dead oil viscosity:
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Pseudoliquid density:
  
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:<math>\mu_{od} = 10^x-1</math>
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:<math>\rho_{po} = 52.8 - 0.01 R_{sb}</math>
  
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where:
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Apparent liquid density:
  
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:<math>x = T^{-1.163} \times e^{(13.108-6.591/SG_{o})}</math>
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:<math>\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 </math>
  
 
Saturated oil viscosity (P < P<sub>b</sub>):
 
Saturated oil viscosity (P < P<sub>b</sub>):

Revision as of 12:00, 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

Saturated oil viscosity (P < Pb):

\mu_{os} = A \mu_{od}^B

where:

A = 10.715\ (R_s + 100)^{-0.515}
B = 5.44\ (R_s + 150)^{-0.338}

Undersaturated oil viscosity (P > Pb):

\mu_{o} = \mu_{os} (P/P_b)^m [2]

where:

m = 2.6\ P^{1.187}\ e^{(-11.513-8.98 \times 10^{-5}\ P)}

Discussion

Application range

Description of the Data Used[3]:

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 VB1980
  3. ↑ Cite error: Invalid <ref> tag; no text was provided for refs named BR1975
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