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Simplified mathematical gas lift performance model
The following equations have been proposed as a simplified means of evaluating gas lift performance.
Calculation of GLV stem movement
where
and
Calculation of equivalent port area open to gas flow
where
and
If A Ape > Ap , then Ape = Ap (fixed-ID orifice flow).
Calculation of gas rate through Ape
where
If Rdu < = 0.553, then Rdu = 0.553 (critical flow).
Nomenclature
Ab | = | effective area of bellows, in.2 |
Ap | = | valve port area (ball/seat-line contact area for sharp-edged seat), in.2 |
Ape | = | valve port equivalent area open to gas flow, in.2 |
Blr | = | bellows-assembly load rate, psi/in. |
Bsr | = | bellows-assembly spring rate, lbf/in. |
CT | = | temperature correction factor for nitrogen from PbvD at TvuD to Pb at 60°F, dimensionless |
Mvs | = | movement of the gas lift valve stem, in. |
Patm | = | atmospheric pressure, psia |
PbvD | = | nitrogen-charged bellows pressure at valve temperature, psig |
PioD | = | injection-gas pressure at valve depth, psig |
PptD | = | flowing-production transfer pressure at valve depth, psig |
Pvo | = | test-rack valve opening pressure at 60°F, psig |
qgi | = | daily injection-gas rate through gas lift valve, Mscf/D |
rb | = | radius of ball on gas lift valve stem, in. |
rp | = | radius of valve port (ball/seat-line contact for sharp-edged seat), in. |
rtf | = | top radius of frustum of right circular cone, in. |
Rdu | = | ratio of downstream pressure/upstream pressure, psia |
s | = | slant height of frustum of right circular cone, in. |
TgiD | = | injection-gas temperature at valve depth, °F |
References
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See also
Gas lift installation design methods
Intermittent-flow gas lift installation design