Research of a Gas Deposit Development Model

A continuous aggregated dynamic model of gas production at a gas field is under construction. Several issues related to gas extraction modeling are under discussion. Two possible options for developing a gas field with certain conditions are under consideration. The first strategy concerns the development of one gas field at two consecutive time stages: at a constant rate of wells drilling and in the absence of drilling. The second strategy concerns maintaining an unaltered level of gas production by commissioning new wells. We study each option in detail and draw appropriate conclusions. We also pose and solve optimization problems for maximum overall extraction and maximum profit. The issues proposed for the study belong to the class of optimal control problems with a free right end and a fixed time. The necessary mathematical apparatus is the Pontryagin maximum principle.