Difference between revisions of "Gilbert choke equation"

From wiki.pengtools.com
Jump to: navigation, search
(→‎Example)
Line 19: Line 19:
 
:<math>P_{wh}=\frac{435 \times 0.4^{0.546}}{22^{1.89}} \times 600 = 460 psig = 460 +14.7 = 474.7 psia</math>
 
:<math>P_{wh}=\frac{435 \times 0.4^{0.546}}{22^{1.89}} \times 600 = 460 psig = 460 +14.7 = 474.7 psia</math>
  
−
Validity check 180/460=0.4 < 0.7 OK
+
Validity check 180/474.7=0.38 < 0.7 OK
  
 
==Nomenclature==
 
==Nomenclature==

Revision as of 19:01, 8 November 2024

Brief

The most common formula used for multiphase flow through surface chokes by Gilbert [1].

Gilbert developed his empirical equation from field data in California[2].

Math and Physics

P_{wh}=\frac{435 \times GLR^{0.546}}{D^{1.89}} \times q

Note that the equation is independent of the downstream pressure and assumes that the downstream pressure is less than 70% of the upstream pressure, i.e. the flow is "critical" and fluid reach sonic velocity in the throat of the choke.

Example

Given data

Oil rate = 600 bbl/d, GLR=400 scf/bbl, D=22/64 in, Line pressure = 180 psia

Calculate the well head pressure?

Solution

P_{wh}=\frac{435 \times 0.4^{0.546}}{22^{1.89}} \times 600 = 460 psig = 460 +14.7 = 474.7 psia

Validity check 180/474.7=0.38 < 0.7 OK

Nomenclature

D = choke beam diametr, 64th of an inch
GLR = gas liquid ratio, Mscf/bbl or 10^3 scf/bbl
P_{wh} = well head pressure, psig
q = flow rate, bbl/d

References

  1. ↑ Gilbert, W.E. (1954). Flowing and Gas-Lift Well Performance. Drilling and Production Practice API. p. 143. 
  2. ↑ Brown, Kermit (1984). The Technology of Artificial Lift Methods. Volume 4. Production Optimization of Oil and Gas Wells by Nodal System Analysis. Tulsa, Oklahoma: PennWellBookss. 


Retrieved from "https://wiki.pengtools.com/index.php?title=Gilbert_choke_equation&oldid=7818"