Difference between revisions of "Velarde solution gas oil ratio correlation"

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:<math> P </math> = pressure, MPa
 
:<math> P </math> = pressure, MPa
 
:<math> P_b </math> = bubble point pressure, MPa
 
:<math> P_b </math> = bubble point pressure, MPa
 +
:<math> P_r </math> = reduced pressure, MPa
 
:<math> R_s </math> =  solution oil gas ratio, sm3/sm3
 
:<math> R_s </math> =  solution oil gas ratio, sm3/sm3
 +
:<math> R_{rb} </math> = solution oil gas ratio at bubble point pressure, sm3/sm3
 +
:<math> R_{rs} </math> =  reduced solution oil gas ratio, sm3/sm3
 
:<math> SG_g </math> = gas specific gravity, dimensionless
 
:<math> SG_g </math> = gas specific gravity, dimensionless
 
:<math> SG_o </math> = oil specific gravity, dimensionless
 
:<math> SG_o </math> = oil specific gravity, dimensionless

Revision as of 08:39, 28 September 2020

Velarde solution gas oil ratio correlation

Velarde correlation is an empirical correlation for the solution gas oil ratio published in 1997. [1]

Math & Physics

R_s = \frac{R_{sr}}{R_{sb}}
R_{sr} = \alpha1 \times P^{\alpha2}_r + (1 - \alpha1) \times P^{\alpha3}_r

where:

P_r = \frac{P-0.101}{P_b}
\alpha1 = A_0 \times SG^{A_1}_g \times Y^{A_2}_{oil_API} \times {(1.8 T- 459.67)}^{A_3} \times P^{A_3}_b

A0 = 1.8653e-4[2]
A1 = 1.672608
A2 = 0.929870
A3 = 0.247235
A4 = 1.056052

\alpha2 = B_0 \times SG^{B_1}_g \times Y^{B_2}_{oil_API} \times {(1.8 T - 459.67)}^{B_3} \times P^{B_4}_b

B0 = 0.1004[2]
B1 = -1.00475
B2 = 0.337711
B3 = 0.132795
B4 = 0.302065

\alpha3 = C_0 \times SG^{C_1}_g \times Y^{C_2}_{oil_API} \times {(1.8 T - 459.67)}^{C_3} \times P^{C_4}_b

C0 = 0.9167[2]
C1 = -1.48548
C2 = -0.164741
C3 = -0.09133
C4 = 0.047094

Application range

2.35 \le R_s \le 322
0.754 \le SG_o \le 0.989
0.555 \le SG_g \le 1.245
21.1 \le T, C \le 160

Nomenclature

API_{oil} = oil specific gravity, °R
A_0..A_{4} = coefficients
B_0..B_{4} = coefficients
C_0..C_{4} = coefficients
P = pressure, MPa
P_b = bubble point pressure, MPa
P_r = reduced pressure, MPa
R_s = solution oil gas ratio, sm3/sm3
R_{rb} = solution oil gas ratio at bubble point pressure, sm3/sm3
R_{rs} = reduced solution oil gas ratio, sm3/sm3
SG_g = gas specific gravity, dimensionless
SG_o = oil specific gravity, dimensionless
T = temperature, °K

References

  1. ↑ Velarde, J.; Blasingame, T. A.; McCain Jr., W. D. (1997). "Correlation of Black Oil Properties At Pressures Below Bubble Point Pressure - A New Approach"Free registration required. Presented at the Annual Technical Meeting of CIM, Calgary, Alberta. Petroleum Society of Canada (PETSOC-97-93). 
  2. ↑ 2.0 2.1 2.2 Afanasyev, Vitaliy; Moskvin, Igor; Wolcott, Ken; McCain, W.D. (2004). "Practical PVT Calculations for black oils". YUKOS publication. 

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