Large deformations of the casing string under its own weight in the curvilinear well

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Authors:

Ye.I.Kryzhanivskyi, Dr. Sc. (Tech.), Prof., orcid.org/0000-0001-6315-1277, Ivano-Frankivsk National Technical University of Oil and Gas, Ivano-Frankivsk, Ukraine, e-mail: This email address is being protected from spambots. You need JavaScript enabled to view it.; This email address is being protected from spambots. You need JavaScript enabled to view it.

I.I.Paliichuk, Cand. Sc. (Tech.), Assoc. Prof., orcid.org/0000-0002-8443-2702, Ivano-Frankivsk National Technical University of Oil and Gas, Ivano-Frankivsk, Ukraine, e-mail: This email address is being protected from spambots. You need JavaScript enabled to view it.; This email address is being protected from spambots. You need JavaScript enabled to view it.

H.D.Malyk, Cand. Sc. (Pedag.), Assoc. Prof., orcid.org/0000-0002-7815-454X, Ivano-Frankivsk National Technical University of Oil and Gas, Ivano-Frankivsk, Ukraine, e-mail: This email address is being protected from spambots. You need JavaScript enabled to view it.; This email address is being protected from spambots. You need JavaScript enabled to view it.

Abstract:

Purpose. Determination of deformation and force parameters that describe the strain-stress state of the casing string in non-vertical well-bore areas.

Methodology. In a curvilinear well, the casing functions as a long permanent continuous rod. Its weight might cause some deformations that can be determined by a heterogeneous system of four differential equations. Taking into consideration the technological requirements for pipe installation on centralizers allows us to make the first integral of the system linear.

Findings. It is proved that the elastic rod deformation under the impact of the longitudinal and transverse forces of the distributed weight can be calculated by a heterogeneous second order differential equation with variable coefficients. Its solution is the clue to the formulas of deflections, angular slopes, internal bending moments and transverse forces in the rod with the arbitrary arrangement of supports and boundary conditions in their intersections.

Originality. The solution of the governing differential equation of angular deformations of a long bar is found in the form of a linear combination of Airy and Scorer’s functions and in the form of three linearly independent polynomial series in the sum with a partial answer.

Practical value. The obtained formulas of flexure and power parameters allow us to calculate stress and strain in the tubing during the process of casing the bore-hole of an arbitrary profile which increases the reliability and durability of the well.

References.

1. Brusco, G., Lewis, P. and Williams, M., 2004. Drilling straight down. Oilfield Review [pdf], 16(3), pp. 14–17. Available at: <https://www.slb.com/~/media/Files/resources/oilfield_review/ors04/aut04/02_drilling_straight_down.pdf> [Accessed 4 November 2017].

2. Williams, M., 2004. Better turns for rotary steerable drilling. Oilfield Review [pdf], 16(1), pp. 4–9. Available at: <https://www.slb.com/~/media/Files/resources/oilfield_review/ors04/spr04/01_rotary_steerable_drilling.pdf> [Accessed 23 December].

3. McDermott, J. R., Viktorin, R. A. and Schamp, J. H., 2005. Extended reach drilling (ERD) technology enables economical development of remote offshore fields in Russia. In: SPE/IADC Drilling Conference. Amsterdam, Netherlands: Society of Petroleum Engineers [online], pp. 183‒188. Available at: <https://www.onepetro.org/ conference-paper/SPE-92783-MS> [Accessed 4 November 2017].

4. Gupta, V. P., Yeap, A. H., Fischer, K. M., Mathis, R. S. and Egan, M. G., 2014. Expanding the extended reach envelope at Chayvo field, Sakhalin island. In: IADC/SPE Drilling Conference and Exhibition. Fort Worth, Texas, US: Society of Petroleum Engineers [online], pp. 1207‒1229. Available at: <https://www.onepetro.org/conference-paper/SPE-168055-MS> [Accessed 22 December 2017].

5. Kotskulych, Ya. S., Seniushkovych, M. V., Martsynkiv, O. B. and Vytvytskyi, I. I., 2015. Casing string centering in directional wells. Naukovyi Visnyk Natsionalnoho Hirnychoho Universytetu, 3(147), pp. 23‒30.

6. Vytvytskyi, I. I., Seniushkovych, M. V. and Shats­kyi, I. P., 2017. Calculation of distance between elastic-rigid centralizers of the casing. Naukovyi Visnyk Natsionalnoho Hirnychoho Universytetu, 5, pp. 29‒35.

7. Gulyayev, V. and Shlyun, N., 2016. Influence of friction on buckling of a drill string in the circular channel of a borehole. Petroleum Science, 13, pp. 698‒711.

8. Musa, N. W., 2017. Elastic bending deformation of the drill strings in channels of curve wells. Modern Mechanical Engineering, 7, pp. 1‒7.

9. Timoshenko, S. P. and Gere, J. M., 2012. Theory of Elastic Stability [e-book]. New York: Dover Publications. Available at: <https://books.google.com.ua/books?id=98B6JO W2HiUC&lpg=PP1&dq=inauthor%3A%22Stephen%20P.%20Timoshenko%22&hl=uk&pg=PP1#v=onepage&q&f=false> [Accessed 11 October 2017].

10. Azar, J. J. and Samuel, G. R., 2007. Drilling Engineering [e-book]. Oklahoma: PennWell Books. Available at: <https://books.google.com.ua/books?id=eseViO982VgC&lpg=PP1&dq=inauthor%3A%22Jamal%20J.%20Azar%22&hl=uk&pg=PR7#v=onepage&q&f=false> [Accessed 9 December 2017].

11. Eryılmaz, A., Atay, M. T., Coskun, S. B. and Baş­bük, M., 2013. Buckling of Euler Columns with a Continuous Elastic Restraint via Homotopy Analysis Method. Journal of Applied Mathematics, 8 pgs. DOI: 10.1155/2013/341063.

12. Jiuping, Xu and Zezhon, Wu, 2015. Tubular String Characterization in High Temperature High Pressure Oil and Gas Wells. London: CRC Press.

13. Byrom, T. G., 2014. Casing and Liners for Drilling and Completion: Design and Application [e-book]. Oxford: Elsevier Gulf Professional Publishing. Available at: <https:// books.google.com.ua/books?id=qQd0AwAAQBAJ&lpg=PP1&dq=inauthor%3A%22Ted%20G.%20Byrom%22&hl=uk&pg=PP1#v=onepage&q&f=false> [Accessed 4 October 2017].

14. Renpu, Wan, 2011. Advanced Well Completion Engineering [e-book]. Oxford: Elsevier Gulf Professional Publishing. Available at: <https://books.google.com.ua/books ?id=GH6JoDxT_9sC&lpg=PP1&dq=inauthor%3A%22Wan%20Renpu%22&hl=uk&pg=PP1#v=onepage&q&f=false> [Accessed 9 January 2018].

15. Oriji, B. A. and Anwana, M. E., 2017. Design and Analysis of Drilling String Buckling in Directional Wells. International Journal of Current Engineering and Technology, 7(6), pp. 2062‒2069.

16. Xie, J., 2006. Casing Design and Analysis for Heavy Oil Wells. In: 1st World Heavy Oil Conference, Paper 2006-415 [online]. Available at: <https://www.research gate.net/publication/308708966_Casing_Design_and_Analysis_for_Heavy_Oil_Wells> [Accessed 22 December 2017].

17. Hossain, M. E. and Islam, M. R., 2018. Drilling Engineering Problems and Solutions: A Field Guide for Engineers and Students [e-book]. Beverly: Scrivener Publishing. Available at: <https://books.google.com.ua/books ?id=PPRgDwAAQBAJ&lpg=PP1&dq=inauthor%3A%22M.%20E.%20Hossain%22&hl=uk&pg=PT1#v=onepage&q&f=false> [Accessed 4 October 2017].

18. Jaculli, M. A. and Mendes, J. R. P., 2018. Dynamic Buckling of Columns Inside Oil Wells [e-book]. Springer Briefs in Petroleum Geoscience & Engineering, Springer. Available at: <https://books.google.com.ua/books? id=9E5aDwAAQBAJ&lpg=PR1&dq=inauthor%3A%22Marcelo%20Anuncia%C3%A7%C3%A3o%20Jaculli%22&hl=uk&pg=PR4#v=onepage&q&f=false> [Accessed 2 March 2018].

19. Paliichuk, I. I., 2017. Method for determining the internal force factors in the casing column of the deep spatially oriented wells. Prospecting and Development of Oil and Gaz Fields, 2(63), pp. 44‒50.

20. Adkins, W. and Davidson, M. G., 2012. Ordinary Differential Equations [e-book]. New York: Springer. Available at: <https:// www.springer.com/us/book/ 9781461436171> [Accessed 4 October 2017].

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