Difference between revisions of "Gilbert choke equation"
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Note that the equation is independent of the downstream pressure and assumes that the downstream pressure is less than 70% of the upstream pressure. | 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, S=22, Line pressure = 180 psi | ||
+ | |||
+ | Calculate well head pressure? | ||
+ | |||
+ | ===Solution=== | ||
+ | :<math>P_{wh}=\frac{435 \times 0.4^{0.546}}{22^{1.89}} \times 600 = 460 psia</math> | ||
+ | |||
+ | Check validity 180/460=0.4 - OK | ||
==Nomenclature== | ==Nomenclature== |
Revision as of 18:43, 8 November 2024
Contents
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
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, S=22, Line pressure = 180 psi
Calculate well head pressure?
Solution
Check validity 180/460=0.4 - OK
Nomenclature
- = 9.81, m/s^2
- = depth, m
- = fluid level, m
- = top of the perforations, m
- = pump setting depth, m
- = pressure, atm
- = annulus presssure, atm
- = well flowing bottomhole pressure, atm
- = density, kg/m^3
- = oil specific gravity, dimensionless
- = water specific gravity, dimensionless
- = well water cut, fraction
References