Difference between revisions of "Gilbert choke equation"

Revision as of 18:23, 8 November 2024

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

Echometer is used to measure the fluid level in the wells.

Fluid level is used to calculate and monitor the bottom hole pressure of the wells.

P_{wh}=\frac{435 GLR^0.546}{D^1.89}q

When the well is flowing with the pump this is how fluids segregate in the well bore:

Oil, gas and water are produced through the tubing from the reservoir to the surface
Gas is in the annulus from the surface to the fluid level, Hd
Oil and gas are between the fluid level Hd, and the pump setting depth, Hd
Water, oil and gas are between pump, Hd and the top of the perforations, Hperfs
Water is in the rathole

P_{wf}=P_{ann}+\frac{(H_{perfs}-H_{pump})(SG_o(1-WCUT)+SG_w WCUT)+(H_{pump}-H_d)SG_o}{10.32}

Note that for the deviated wells TVD depths should be used.

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

↑ 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 8: / Line 8: @@
 ==Math and Physics==
-The physics is based on the principal hydrostatics law:
+:<math>P_{wh}=\frac{435 GLR^0.546}{D^1.89}q</math>
-:<math>P=\frac{\rho g h}{101325}</math>
 ===Flowing well fluids segregation===