An economic feasibility assessment of developing a gas field

We describe a continuous aggregated dynamic model of a gas field and study three strategies for gas field development under various operating conditions. We set and solve the problem of optimal control for the maximum discounted profit. We prove the uniqueness of the found solution and propose a numerical algorithm for finding it. We define the criterion for the economic feasibility of gas field development.The main mathematical apparatus is the Pontryagin maximum principle in Arrow form.