Optimization with a control mechanism using a mixed-integer nonlinear formulation

A system for optimizing production of a plurality of wells using a control mechanism, the system comprising:

• a hardware processor;
• a plurality of sensors collecting data from the plurality of wells;
• an offline model executing on the hardware processor and configured to:
• generate, for each well of the plurality of wells, an intermediate solution to optimize the production of each well of the plurality of wells using the data collected by the plurality of sensors, a mixed-integer nonlinear program solver, and a plurality of production curves based on a state of the control mechanism and a given offline wellhead pressure;
• and
• a network model operatively connected to the offline model and executing on the hardware processor, wherein the network model is configured to:
• calculate, using each intermediate solution of each well of the plurality of wells, a current online wellhead pressure for each well of the plurality of wells, wherein the current online wellhead pressure for each well is dependent upon each other well of the plurality of wells;
• and
• an optimization engine operatively connected to the offline model and the network model, wherein the optimization engine executes on the hardware processor and is configured to:
• set the intermediate solution as a final solution based on determining that a difference between the current online wellhead pressure of each well and a prior online wellhead pressure of the each well of the plurality of wells is less than a tolerance amount;
• and
• adjust, using final solution of each well, at least one operating parameter of the plurality of wells to generate an actual wellhead pressure of each well, wherein the final solution of each well identities a value for the at least one operating parameter.

A non-transitory computer readable medium comprising computer readable program code embodied therein for:

• generating, for each well of a plurality of wells, an intermediate solution to optimize the production of each well of the plurality of wells using an offline model comprising a mixed-integer nonlinear program solver and using a plurality of production curves based on a state of a control mechanism and a given wellhead pressure;
• calculating, using a network model and the intermediate solution of each well of the plurality of wells, a current online wellhead pressure for each well of the plurality of wells, wherein the current online wellhead pressure for each well is dependent upon each other well of the plurality of wells;
• setting the intermediate solution as a final solution based on determining that a difference between the current online wellhead pressure of each well and a prior wellhead pressure of the each well of the plurality of wells is less than a tolerance amount;
• and
• adjusting, using the final solution of each well, at least one operating parameter of the plurality of wells to generate an actual wellhead pressure of each well wherein the final solution of each well identifies a value for at least one operating parameter.