Difference between revisions of "Gilbert choke equation"
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:<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/ | + | 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
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
Validity check 180/474.7=0.38 < 0.7 OK
Nomenclature
= choke beam diametr, 64th of an inch
= gas liquid ratio, Mscf/bbl or 10^3 scf/bbl
= well head pressure, psig
= flow rate, bbl/d
References
- Jump up ↑ Gilbert, W.E. (1954). Flowing and Gas-Lift Well Performance. Drilling and Production Practice API. p. 143.
- Jump up ↑ 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.
