ОПТИМАЛЬНЕ ТРАСУВАННЯ ТРАЄКТОРІЙ ГЛИБОКИХ СВЕРДЛОВИН МЕТОДАМИ НЕЛІНІЙНОГО ПРОГРАМУВАННЯ

Abstract

The issues of rational (optimal) trajectory trajectory of oil and gas wells are apparently one of the few areas of the oil and gas industry that still does not use optimal control and nonlinear programming methods. 133 At the same time, the use of these methods makes it possible to design smoother and shorter trajectories with less risk of emergency situations occurring in them, leading to resonant vibrations of the system, buckling of the drill string and its sticking. In addition, in such columns, the conditions for the hydrodynamic and aerodynamic flow of the working fluid are improved, and the likelihood of the formation of blood clots and plugs is reduced. In this paper, a new approach for the optimal design of curved well trajectories based on the application of the anti-gradient descent method is proposed, resolving equations are formulated, algorithms for their solution are developed, a practical example is considered, and it is shown that solving this problem leads to a decrease in the total curvature of the well and its length. KEYWORDS: DEEP BOREHOLE, BOREHOLE TRAJECTORY OPTIMIZATION, ANTIGRADIENT RUNING METHOD, OBJECTIVE FUNCTIONS, NONLINEAR PROGRAMMING.