THE FEATURES OF THE INTERPOLATION FOR THE NOD COLUMN POINTS POSITION IN THE CURVED BORE HOLE
Keywords:
sucker-rod pumping unit, rod string, deviated wells, interpolation, smoothing spline.Abstract
Spline interpolation algorithms for definition of rod string points position were analyzed and conditions of the admissibility of interpolation results have been formulated. It is shown that using smoothing spline allows to obtain physically correct results in terms of maximum deviation from wellbore axis and rod string curvature.
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References
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14. T.C.M. Lee “Smoothing parameter selection for smoothing splines: a simulation study”, Computational Statistics & Data Analysis, Vol. 42, Issues 1–2, 2003, Pages 139–148.
15. spaps: smoothing spline [Електронний ресурс] : [Веб-сайт] - Режим доступу: https://www.mathworks.com/help/curvefit/spaps.html (дата звернення 20.11.2016)
2. Lubinski, A., Althouse, W. S., and Logan, J. L., 1962, "Helical Buckling of Tubing Sealed in Packers," JPT, June, pp. 655-670.
3. Schuh, F.J., 1991. The Critical Buckling Force and Stresses for Pipe in Inclined Curved Boreholes, Paper SPE/IADC 21942 Presented at the SPE/IADC Drilling Conference, 11 -14 March, Amsterdam.
4. J. Wu and H. C. Juvkam-Wold. “The Effect of Wellbore Curvature on Tubular Buckling and Lockup”, J. Energy Resour. Technol 117(3), 214-218 (Sep 01, 1995)
5. J. H. B. Sampaio Jr. “The Buckling of Drillstrings in Curved Sections of Boreholes.”: 1998 energy sources technology conference, Houston, TX (United States), American Society of Mechanical Engineers, New York, NY (United States), 1998.
6. He, X. and Kyllingstad, A., “Helical Buckling and Lock-up Conditions for Coiled Tubing in Curved Wells”, SPE Paper 25370, 1995.
7. Zhi-Hao Lu and Jen-San Chen, “Deformations of a Clamped-Clamped Elastica inside a Circular Channel with Clearance,” International Journal of Solids and Structures, Vol. 45, pp. 2470-2492, 2008.
8. J.T. Miller et al. “Buckling of a thin elastic rod inside a horizontal cylindrical constraint”, Extreme Mechanics Letters, Volume 3, June 2015, Pages 36–44.
9. M. Hajianmaleki, J.S. Daily “Advances in critical buckling load assessment for tubulars inside wellbores”, Journal of Petroleum Science and Engineering 116 (2014) pp.136–144.
10. Насосная добыча высоковязкой нефти из наклонных и обводненных скважин / К. Р.,Богомольный Е.И. Уразаков. - М. : Недра-Бизнесцентр, 2003.
11. V. Denoel, E. Detournay. “Eulerian Formulation of Constrained Elastica”, International Journal of Solids and Structures, 48 (2011), pp. 625–636.
12. C. de Boor, A Practical Guide to Splines, Springer-Verlag, 2001.- 366 pp.
13. Євчук О.В. Розрахунок сил тертя у викривлених свердловинах на основі параметричної сплайн-інтерполяції точок штангової колони // Методи та прилади контролю якості. - Івано-Франківськ: ІФНТУНГ, 2016. - № 1. - С. 107-113
14. T.C.M. Lee “Smoothing parameter selection for smoothing splines: a simulation study”, Computational Statistics & Data Analysis, Vol. 42, Issues 1–2, 2003, Pages 139–148.
15. spaps: smoothing spline [Електронний ресурс] : [Веб-сайт] - Режим доступу: https://www.mathworks.com/help/curvefit/spaps.html (дата звернення 20.11.2016)
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Published
2016-12-05
How to Cite
Євчук, О. В. (2016). THE FEATURES OF THE INTERPOLATION FOR THE NOD COLUMN POINTS POSITION IN THE CURVED BORE HOLE. METHODS AND DEVICES OF QUALITY CONTROL, (2(37), 85–90. Retrieved from https://mpky.nung.edu.ua/index.php/mpky/article/view/348
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Section
METHODS AND DEVICES FOR THE TECHNOLOGICAL PARAMETERS CONNTROL
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