Difference between revisions of "Gilbert choke equation"

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

Revision as of 18:56, 8 November 2024

Brief

The most common formula used for multiphase flow through surface chokes by Gilbert [1][2].

Gilbert developed his empirical equation from field data in California.

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 psi

Calculate the well head pressure?

Solution

P_{wh}=\frac{435 \times 0.4^{0.546}}{22^{1.89}} \times 600 = 460 psi

Validity check 180/460=0.4 < 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. 


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