OPTIMAL DESIGN OF BOREHOLES TRAJECTORIES

ABSTRACT

Gulyayev V.I., Shlyun N.V. Optimal design of boreholes trajectories. Visnyk National Transport University. Series «Technical sciences». Scientific and Technical Collection. - Kyiv: National Transport University, 2021. - Issue 1 (48).

The problem of optimizing the trajectories of deep curved oil and gas wells, in which the total curvature of the well and its length is minimized, is discussed. For the first time, a discrete-continuum model of the well geometry was proposed, based on the method of projection of a gradient on the hyperplane of linearized constraints, a method was developed for minimizing the corresponding target functionals, which would reduce the risks of emergency drilling situations.

An algorithm for reducing the problem of nonlinear optimal control to the problem of nonlinear programming is shown. Such a transition is achieved by approximating the well trajectories with a system of cubic splines, analytically integrating differential equations in separate sections of the trajectory, and further applying the methods of nonlinear programming theory. The considered approach is more algorithmic and allows solving problems of well trajectory optimization under more complex constraints.

KEYWORDS: WELL TRACKING, OPTIMAL CONTROL PROBLEM, OBJECTIVE FUNCTIONS, NONLINEAR PROGRAMMING.

REFERENCES

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AUTHOR

Gulyayev V.I., Dr. Sci., National Transport University, tel. +38(044) 280-71-09, Ukraine, 01103, Kyiv, Boichuk str., 42, e-mail: valery@gulyayev.com.ua, orcid.org/0000-0002-5388-006X

Shlyun N.V., Ph.D., National Transport University, tel. +38(044) 280-71-09, Ukraine, 01103, Kyiv, Boichuk str., 42, e-mail: nataliyashlyun@gmail.com, orcid.org/0000-0003-1040-8870

REVIEWER

Gaidaichuk V.V., Dr. Sc. (Engineering), Professor, Kyiv National University of Structures and Architecture, Head of Department of Theoretical Mechanics, Kyiv, Ukraine.

Mozgovyy V.V., Dr. Sci., (Engineering), Professor, National Transport University, Head of Department of Road Construction Materials and Chemistry, Kyiv, Ukraine.

 

Article language: Ukrainian

Open Access: http://publications.ntu.edu.ua/visnyk/48/109-116.pdf

Print date: 15.03.2021

Online publication date: 05.04.2021

 

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