Analysis of the gas field development model

We consider a continuous aggregated dynamic model of gas deposits with interconnecting wells. Various modes of development are analyzed analytically. Problems of maximizing accumulated production and maximizing profit are posed and solved. Problems proposed for the study belong to a class of optimal control problems with a free right end and fixed time. The basic mathematical apparatus is the Pontryagin maximum principle. Additionally, conditions are identified under which a group of deposits in the model representation can be considered as a single deposit.