Difference between revisions of "Gilbert choke equation"

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(Example)
(Solution)
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:<math>P_{wh}=\frac{435 \times 0.4^{0.546}}{22^{1.89}} \times 600 = 460 psi</math>
 
:<math>P_{wh}=\frac{435 \times 0.4^{0.546}}{22^{1.89}} \times 600 = 460 psi</math>
  
Check validity 180/460=0.4 - OK
+
Validity check 180/460=0.4 < 0.7 OK
  
 
==Nomenclature==
 
==Nomenclature==

Revision as of 18:44, 8 November 2024

Brief

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

Gilbert developed his 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.

Example

Given data

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

Calculate 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

g = 9.81, m/s^2
h = depth, m
H_d = fluid level, m
H_{perfs} = top of the perforations, m
H_{pump} = pump setting depth, m
P = pressure, atm
P_{ann} = annulus presssure, atm
P_{wf} = well flowing bottomhole pressure, atm
\rho = density, kg/m^3
SG_o = oil specific gravity, dimensionless
SG_w = water specific gravity, dimensionless
WCUT = well water cut, fraction

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.