Difference between revisions of "Gilbert choke equation"

Revision as of 18:48, 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 the 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 14: / Line 14: @@
 Oil rate = 600 bbl/d, GLR=400 scf/bbl, D=22/64 in, Line pressure = 180 psi
-Calculate well head pressure?
+Calculate the well head pressure?
 ===Solution===