| Kamil Mamtiyev, Rena Mikayilova, Hafiz Bayramov Solution of an Optimal Control Problem Related to Technological Operating Modes of Gas Wells |
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| Abstract. Selecting a well operating mode is a critical step in field development planning and well operation. For gas wells, the operating mode includes regulating the flow rate or bottom-hole pressure to ensure compliance with subsoil protection regulations and safe operation. Mathematical formulas, such as the maximum permissible depression mode, allow us to describe these operating modes. The use of optimization methods, including the Pontryagin maximum principle, has advanced the modeling and solution of oil and gas field development problems. However, there are still unresolved issues, such as the formulation of optimal control problems, the definition of special controls, and numerical solution methods. In this paper, the gradient projection method is used to determine the optimal operating modes of gas wells, paying attention to minimizing reservoir depletion and refining control strategies. |
| Keywords: gas wells, field development planning, nonlinear differential equations, oil and gas industry, gradient projection method |
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