ELASTIC BENDING OF A DRILL STRING IN AN ELLIPTICAL WELL WITH GEOMETRIC IMPERFECTIONS


ABSTRACT

Andrusenko E.N. Elastic bending of a drill string in an elliptical well with geometric imperfections. Visnyk National Transport University. Series «Technical sciences». Scientific and Technical Collection. - Kyiv: National Transport University, 2021. - Issue 1 (48).

The problem is posed of determining the resistance forces and internal forces in the drill string during drilling and when performing tripping operations in a curved well.

The object of the study is the geometry of the centerline of deep inclined well trajectories.

The aim of the work is to formulate and solve new problems of structural mechanics about nonlinear deformation of drill strings in directional wells.

To study the mechanics of elastic bending of drill strings in directional wells, the methods of structural mechanics of flexible curved rods were used; methods of differential geometry and theory of surfaces; numerical Runge-Kutta method.

The study of the influence of geometric imperfections of the borehole centerline on the forces of contact interaction between the drill string and the borehole wall has been carried out. The case is considered when geometric imperfections have the form of a localized spiral of variable radius.

KEY WORDS: OIL AND GAS WELLS, CURVED TRAJECTORY, DRILLING COLUMN, RESISTANCE FORCES.

REFERENCES

Bertsekas, Dimitri P. (2016). Nonlinear Programming ( Third ed.). Cambridge, Massachussets.: Athena Scientific.

  1. Betts, J.T. (2016). Practical Methods for Optimal Control Using Nonlinear Programming (2nd ed.). Philadelphia, Pennsylvania: SIAM Press.
  2. David M. Himmelblau (1972). Applied Nonlinear Programming. The University of Texas, Austin, Texas. Mc Graw-Hill Book Company.
  3. Gulyayev, V.I., Bazhenov, V.A., Koshkin, V.L. (1988) Optimal Control of Mechanical Systems Motion. UMK VO, Kyiv (in Russian).
  4. Gulyayev, V., Glazunov, S., Glushakova, O., Vashchilina, E., Shevchuk, L., Shlyun, N., Andrusenko, E. (2019) Modelling Emergency Situations in the Drilling of Deep Boreholes. Cambridge Scholars Publishing.
  5. Jan Brinkhuis and Vladimir Tikhomirov (2005) Optimization: Insights and Applications, Princeton University Press.
  6. Luenberger, David G.; Ye, Yinyu (2008). Linear and Nonlinear Programming. International Series in Operations Research & Management Science. 116 (Third ed.) New York: Springer.
  7. Mokhtar S.Bazaraa (2013). Nonlinear Programming: Theory and Algorithms. (3 ed). Wiley Publishing.
  8. Richard E. Bellman. (2010) Dynamic Programming. Princeton Landmarks in Mathematics, Princeton.

AUTHOR

Andrusenko Elena Nikolaevna, Ph.D., associate professor, National Transport University, associate professor department of high mathematics, e-mail: a.andrusenko@gmail.com , tel. +380672981387, Ukraine, 01010, Kiev, Boichuka str. 42, of. 511, orcid.org/0000-0001-9986-5888.

REVIEWER

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

Loza I.A., Ph.D., Doctor of Physical and Mathematical Sciences (Dr), professor, National Transport University, Head of Department of Theoretical and Applied Mechanics, Kyiv, Ukraine.


Article language: Ukrainian

Open Access: http://publications.ntu.edu.ua/visnyk/48/003-011.pdf

Print date: 15.03.2021

Online publication date: 05.04.2021

 


Search