Numerical solution of the problem of optimizing the process of oil displacement by steam
Аннотации
The paper is devoted to the problem of optimizing the process of steam stimulation on the oil reservoir by controlling
the steam pressure on the injection well to achieve preassigned temperature distribution along the reservoir at a given time of
development. The relevance of the study of this problem is related to the need to improve methods of heavy oil development,
the proportion of which exceeds the reserves of light oils, and it tends to grow. As a mathematical model of oil displacement by
steam, three-phase non-isothermal flow equations is considered. The problem of optimal control is formulated, an algorithm for the
numerical solution is proposed. As a reference regime, temperature distribution corresponding to the constant pressure of injected
steam is accepted. The solution of the optimization problem shows that choosing the steam pressure on the injection well, one can
improve the e ciency of steam-stimulation and reduce the pressure of the injected steam.