Ptimization of lift gas allocation in a gas lifted oil field as non-linear optimization problem

Abstract

Proper allocation and distribution of lift gas is necessary for maximizing total oil production from a eld with gas lifted oil wells. When the supply of the lift gas is limited, the total available gas should be optimally distributed among the oil wells of the eld such that the total production of oil from the eld is maximized. This paper describes a non-linear optimization problem with constraints associated with the optimal distribution of the lift gas. A non-linear objective function is developed using a simple dynamic model of the oil eld where the decision variables represent the lift gas ow rate set points of each oil well of the eld. The lift gas optimization problem is solved using the 'fmincon' solver found in MATLAB. As an alternative and for veri cation, hill climbing method is utilized for solving the optimization problem. Using both of these methods, it has been shown that after optimization, the total oil production is increased by about 4%. For multiple oil wells sharing lift gas from a common source, a cascade control strategy along with a nonlinear steady state optimizer behaves as a self-optimizing control structure when the total supply of lift gas is assumed to be the only input disturbance present in the process. Simulation results show that repeated optimization performed after the rst time optimization under the presence of the input disturbance has no e ect in the total oil production.