Difference between revisions of "Griffith correlation"

From wiki.pengtools.com
Jump to: navigation, search
(→‎Math & Physics)
(→‎References)
Line 63: Line 63:
 
  |url=https://www.onepetro.org/journal-paper/SPE-1546-PA
 
  |url=https://www.onepetro.org/journal-paper/SPE-1546-PA
 
  |url-access= subscription  
 
  |url-access= subscription  
 +
}}</ref>
 +
 +
<ref name=Economides>{{cite book
 +
|last1= Economides |first1=M.J.
 +
|last2= Hill |first2=A.D.
 +
|last3= Economides |first3=C.E.
 +
|last4= Zhu |first4=D.
 +
|title=Petroleum Production Systems
 +
|edition=2
 +
|date=2013
 +
|publisher=Prentice Hall
 +
|place=Westford, Massachusetts
 +
|isbn=978-0-13-703158-0
 
}}</ref>
 
}}</ref>
 
</references>
 
</references>

Revision as of 16:54, 27 March 2017

Brief

The Griffith correlation [1] is an empirical correlation which defines:

  • The boundary between the bubble and slug flow[2]
  • The void fraction of gas in bubble flow - gas hold up Hg[2]

Math & Physics

The bubble flow exist when:

\frac{v_g}{v_g + v_L} < L_B [2]
L_B = 1.071 - 0.2218 \frac{(v_g+v_L)^2}{D}, with the limit L_B \geqslant 0.13 [2]

The gas holdup:

H_g = \frac{1}{2}\ \left ( 1 + \frac{v_g+v_L}{v_s} - \sqrt{ \left ( 1 + \frac{v_g+v_L}{v_s} \right )^2 - 4 \frac{v_g}{v_s}} \right ) [2]

Discussion

Nomenclature

H_g = gas holdup factor, dimensionless
f = friction factor, dimensionless
GLR = gas-liquid ratio, scf/bbl
M = total mass of oil, water and gas associated with 1 bbl of liquid flowing into and out of the flow string, lbm/bbl
N_D = pipe diameter number number, dimensionless
N_GV = gas velocity number, dimensionless
N_L = liquid viscosity number, dimensionless
N_LV = liquid velocity number, dimensionless
p = pressure, psia
q_c = conversion constant equal to 32.174, lbmft / lbfsec2
q_L = total liquid production rate, bbl/d
Re = Reynolds number, dimensionless
R_s = solution gas-oil ratio, scf/stb
SG = specific gravity, dimensionless
T = temperature, °R or °K, follow the subscript
v = velocity, ft/sec
WOR = water-oil ratio, bbl/bbl
z = gas compressibility factor, dimensionless

References

  1. ↑ Griffith, P.; Wallis, G. B. (August 1961). "Two-Phase Slug Flow"Paid subscription required. Journal of Heat Transfer. ASME. 83: 307–320. 
  2. ↑ 2.0 2.1 2.2 2.3 2.4 Orkiszewski, J. (June 1967). "Predicting Two-Phase Pressure Drops in Vertical Pipe"Paid subscription required. Journal of Petroleum Technology. SPE. 19 (SPE-1546-PA). 

Cite error: <ref> tag with name "Economides" defined in <references> is not used in prior text.

Retrieved from "https://wiki.pengtools.com/index.php?title=Griffith_correlation&oldid=1786"