A hydraulic jet pump with both gas and liquid phases at the intake is modeled analytically. A complete system model results when this is combined with models of the surface pump, tubing, casing, and the pressure/temperature behavior of oil and gas. This model is used to size jet pumps before installation and to optimize production. Production optimization includes first estimating the pump-intake pressure and then determining the drive frequency for the surface pump that minimizes the pump-intake pressure. There is an optimal frequency at which the intake pressure is minimized and production is maximized.
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