Difference between revisions of "Valko - McCain bubble point pressure correlation"

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=== Brief ===
 
=== Brief ===
  
−
[[Valco- McCain correlation]] is ...
+
[[Valco - McCain correlation]] is ...
  
 
=== Math & Physics ===
 
=== Math & Physics ===
−
:<math> z1 = -4.814074834 + 0.7480913 \times log(R_{sb}) + 0.1743556 \times (log(R_{sb}))^2 - 0.0206 \times (log(R_{sb}))^3
 
−
</math>
 
−
:<math> z2 = 1.27 - 0.0449 * $API + 0.000436 * pow($API, 2) - 0.00000476 * pow($API, 3)</math>
 
−
:<math> z3 = 4.51 - 10.84 * SG_{g} + 8.39 \times SG^2_{g} - 2.34 * SG^3_{g}</math>
 
−
:<math> z4 = -7.2254661 + 0.043155 \times T - 8.5548e-5 \times T^2 + 6.00696e-8 * T^3</math>
 
−
:<math> z = z1 + z2 + z3 + z4</math>
 
  
−
lnPb = 2.498 + 0.713 * $z + 0.0075 * pow($z, 2);
+
:<math> P_{bp} = e^{2.498 + 0.713 z + 0.0075 z^2}</math>
 +
 
 +
where:
 +
 
 +
:<math> z1 = -4.814074834 + 0.7480913 \times log(R_{sb}) + 0.1743556 \times log^2(R_{sb}) - 0.0206 \times log^3(R_{sb})</math>
 +
 
 +
:<math> z2 = 1.27 - 0.0449 \times Y_{oil_API}+ 0.000436 \times Y^2_{oil_API}  - 0.00000476 \times Y^3_{oil_API}</math>
 +
 
 +
:<math> z3 = 4.51 - 10.84 * SG_{g} + 8.39 \times SG^2_{g} - 2.34 \times SG^3_{g}</math>
  
−
Bubblepoint_Valko_McCainSI = exp($lnPb);
+
:<math> z4 = -7.2254661 + 0.043155 \times T - 8.5548e-5 \times T^2 + 6.00696e-8 \times T^3</math>
  
−
where:
+
:<math> z = z1 + z2 + z3 + z4</math>
  
 
=== Discussion  ===
 
=== Discussion  ===
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=== Application range ===  
 
=== Application range ===  
 
=== Nomenclature ===
 
=== Nomenclature ===
−
:<math> A_1..A_{11} </math> = coefficients
+
:<math> P </math> = pressure, MPA
−
:<math> \rho_r </math> = reduced density, dimensionless
+
:<math> P_{bp} </math> = bubble point pressure, MPA
−
:<math> P </math> = pressure, psia
 
−
:<math> P_{pc} </math> = pseudo critical pressure, psia
 
−
:<math> P_{pr} </math> = pseudoreduced pressure, dimensionless
 
 
:<math> SG_g </math> = gas specific gravity, dimensionless
 
:<math> SG_g </math> = gas specific gravity, dimensionless
 
:<math> T </math> = temperature, °R
 
:<math> T </math> = temperature, °R
−
:<math> T_{pc} </math> = pseudo critical temperature, °R
+
:<math> Y_{oil_API} </math> = oil API gravity, dimensionless
−
:<math> T_{pr} </math> = pseudoreduced temperature, dimensionless
 
−
:<math> z </math> = gas compressibility factor, dimensionless
 
  
 
=== References ===
 
=== References ===
 
<references>
 
<references>
  
−
<ref name=Standing&Katz>{{cite journal
+
<ref name=Valco - McCain>{{cite journal
−
  |last1= Standing |first1=M. B.
+
  |last1= Valkó |first1=P. P.
−
  |last2= Katz |first2=D. L.
+
  |last2= McCain |first2=W.D.
−
  |title=Density of Natural Gases
+
  |title=Reservoir oil bubblepoint pressures revisited; solution gas–oil ratios and surface gas specific gravities.
−
  |journal=Transactions of the AIME
+
  |journal=J. Pet. Sci. Eng. 37 (3–4): 153-169
−
|publisher=Society of Petroleum Engineers
+
  |date=2003
−
|number=SPE-942140-G
+
  |url=http://dx.doi.org/10.1016/S0920-4105(02)00319-4
−
|date=December 1942
 
−
|volume=146
 
−
|url=https://www.onepetro.org/journal-paper/SPE-942140-G
 
−
|url-access=registration
 
−
}}</ref>
 
−
 
 
−
<ref name= Dranchuk >{{cite journal
 
−
|last1= Dranchuk |first1=P. M.
 
−
|last2= Abou-Kassem |first2=H.
 
−
|title=Calculation of Z Factors For Natural Gases Using Equations of State
 
−
|journal=The Journal of Canadian Petroleum
 
−
|number=PETSOC-75-03-03
 
−
  |date=July 1975
 
−
|volume=14
 
−
  |url=https://www.onepetro.org/journal-paper/PETSOC-75-03-03
 
 
  |url-access=registration  
 
  |url-access=registration  
 
}}</ref>
 
}}</ref>

Revision as of 11:48, 13 June 2017

Brief

Valco - McCain correlation is ...

Math & Physics

P_{bp} = e^{2.498 + 0.713 z + 0.0075 z^2}

where:

z1 = -4.814074834 + 0.7480913 \times log(R_{sb}) + 0.1743556 \times log^2(R_{sb}) - 0.0206 \times log^3(R_{sb})
z2 = 1.27 - 0.0449 \times Y_{oil_API}+ 0.000436 \times Y^2_{oil_API} - 0.00000476 \times Y^3_{oil_API}
z3 = 4.51 - 10.84 * SG_{g} + 8.39 \times SG^2_{g} - 2.34 \times SG^3_{g}
z4 = -7.2254661 + 0.043155 \times T - 8.5548e-5 \times T^2 + 6.00696e-8 \times T^3
z = z1 + z2 + z3 + z4

Discussion

Workflow

Application range

Nomenclature

P = pressure, MPA
P_{bp} = bubble point pressure, MPA
SG_g = gas specific gravity, dimensionless
T = temperature, °R
Y_{oil_API} = oil API gravity, dimensionless

References

Cite error: <ref> tag defined in <references> has group attribute "" which does not appear in prior text.

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