Thermodynamics and Optimal Control of Porous Media Flows in Oil Field Development

A. V. Akhmetzyanov^a^,^*, A. G. Kushner^a^,^b^,^**, and V. V. Lychagin^a^,^c^,^***
Translated by I. Ruzanova

^aTrapeznikov Institute of Control Sciences, Russian Academy of Sciences, Moscow, 117997 Russia

^bFaculty of Physics, Moscow State University, Moscow, 119992 Russia

^cUniversity of Tromsø, Tromsø, Norway

Correspondence to: *e-mail: atlas@ipu.ru
Correspondence to: **e-mail: kushner@physics.msu.ru
Correspondence to: ***e-mail: valentin.lychagin@matnat.uit.no

Received 20 November, 2017

Abstract—The nonisothermal two-phase porous media flow of oil and hot water in a horizontal oil reservoir is considered. An asymptotic method for calculating the flow and solving related optimal control problems is proposed. Namely, the problem of choosing optimal control actions to maximize the oil production for a given level of financial costs and to minimize the costs for a given level of oil production is considered.

DOI: 10.1134/S1064562418020084