Difference between revisions of "Gilbert choke equation"

Revision as of 18:47, 8 November 2024

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

Gilbert developed his equation from field data in California.

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.

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

Calculate well head pressure?

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

D

= choke beam diametr, 64th of an inch

GLR

= gas liquid ratio, Mscf/bbl or 10^3 scf/bbl

P_{wh}

= well head pressure, psi

q

= flow rate, bbl/d

↑ Gilbert, W.E. (1954). Flowing and Gas-Lift Well Performance. Drilling and Production Practice API. p. 143.
↑ 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.

@@ Line 22: / Line 22: @@
 ==Nomenclature==
-:<math>g</math> = 9.81, m/s^2
+:<math>D</math> = choke beam diametr, 64th of an inch
-:<math>h</math> = depth, m
+:<math>GLR</math> = gas liquid ratio, Mscf/bbl or 10^3 scf/bbl
-:<math>H_d</math> = fluid level, m
+:<math>P_{wh}</math> = well head pressure, psi
-:<math>H_{perfs}</math> = top of the perforations, m
+:<math>q</math> = flow rate, bbl/d
-:<math>H_{pump}</math> = pump setting depth, m
-:<math>P</math> = pressure, atm
-:<math>P_{ann}</math> = annulus presssure, atm
-:<math>P_{wf}</math> = well flowing bottomhole pressure, atm
-:<math>\rho</math> = density, kg/m^3
-:<math>SG_o</math> = oil specific gravity, dimensionless
-:<math>SG_w</math> = water specific gravity, dimensionless
-:<math>WCUT</math> = well water cut, fraction
 == References ==