Maximization of the Accumulated Extraction in a Gas Fields Model
A continuous dynamic long-term model of the gas fields group is considered. Two problems are set and solved: the problem of maximizing accumulated production for a gas fields group over a fixed period and the problem of maximizing the length of the general “shelf” for fields group. The problems proposed for the study belong to the class of optimal control problems with mixed constraints. The basic mathematical apparatus is Pontryagin’s maximum principle in Arrow’s form, in which Lagrange’s multipliers are applied. The obtained results are analyzed.
KeywordsOptimal control Maximum principle K. Arrow’s proposition Mixed constraint Maximization of accumulated extraction
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