Geodesic
Calculation of drillstring vibrations in real time as part of training system
Vestnik Sankt-Peterburgskogo universiteta. Prikladnaâ matematika, informatika, processy upravleniâ, Tome 13 (2017) no. 1, pp. 91-101 Cet article a éte moissonné depuis la source Math-Net.Ru

Voir la notice de l'article

A mathematical model of the dynamics of the drillstring in the hole for a real-time system which is based on the model of the long elastic rod in the shell with small bending angle assumption is discussed. The longitudinal, torsional and transverse vibrations of the column in this case are described by a system of nonlinear partial differential equations. This model allows for the simulation tool wear and mechanical complications that can occur during drilling. Based on the FEM and implicit sampling time, the algorithm was implemented with linear complexity depending on the number of finite elements. It allows for calculation of both the real and the accelerated time. The coefficients of the model are set on the basis of incomplete experimental data provided by operators of drilling rigs. For certain geological conditions, equipment and well configuration presented calculations and obtained the dynamics of the various modes, depending on the control parameters: long stop zone, uniform and non-uniform rotation. It is shown that transition in the non-uniform rotation mode drastically reduced the rate of drilling. Simulator system values behaviour (linear and angular speed, column elements load, torque) are in close location with the experimental data. Refs 9. Figs 5.
Keywords: simulator, drillstring, diagram of drillstring dynamics zones, rate of drillin.
Mots-clés : force on bit 
@article{VSPUI_2017_13_1_a8,
     author = {A. A. Malyugin and D. V. Kazunin},
     title = {Calculation of drillstring vibrations in real time as part of training system},
     journal = {Vestnik Sankt-Peterburgskogo universiteta. Prikladna\^a matematika, informatika, processy upravleni\^a},
     pages = {91--101},
     year = {2017},
     volume = {13},
     number = {1},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VSPUI_2017_13_1_a8/}
}
TY  - JOUR
AU  - A. A. Malyugin
AU  - D. V. Kazunin
TI  - Calculation of drillstring vibrations in real time as part of training system
JO  - Vestnik Sankt-Peterburgskogo universiteta. Prikladnaâ matematika, informatika, processy upravleniâ
PY  - 2017
SP  - 91
EP  - 101
VL  - 13
IS  - 1
UR  - http://geodesic.mathdoc.fr/item/VSPUI_2017_13_1_a8/
LA  - ru
ID  - VSPUI_2017_13_1_a8
ER  - 
%0 Journal Article
%A A. A. Malyugin
%A D. V. Kazunin
%T Calculation of drillstring vibrations in real time as part of training system
%J Vestnik Sankt-Peterburgskogo universiteta. Prikladnaâ matematika, informatika, processy upravleniâ
%D 2017
%P 91-101
%V 13
%N 1
%U http://geodesic.mathdoc.fr/item/VSPUI_2017_13_1_a8/
%G ru
%F VSPUI_2017_13_1_a8
A. A. Malyugin; D. V. Kazunin. Calculation of drillstring vibrations in real time as part of training system. Vestnik Sankt-Peterburgskogo universiteta. Prikladnaâ matematika, informatika, processy upravleniâ, Tome 13 (2017) no. 1, pp. 91-101. http://geodesic.mathdoc.fr/item/VSPUI_2017_13_1_a8/

[1] Tikhonov V. S., Safronov A. I., “Analysis of postbuckling drillstring vibrations in rotary drilling of extended-reach wells”, Transactions ASME. J. Energy Resources Tech., 133:4 (2011), 43102 | DOI

[2] Tikhonov V. S., Safronov A. I., Gelfgat M. Ya., “Method of dynamic analysis of rod-in-hole buckling”, Proc. 8th Biennial ASME Conference on Engineering Systems Design and Analysis (Torino, Italy, 2006), N ESDA2006–95059

[3] Svetlitsky V. A., Rod Mechanics, In 2 vol., v. 2, Dynamics, Visshaya shkola Publ., M., 1987, 304 pp. (In Russian)

[4] Malyugin A. A., Kazunin D. V., Kuznetsov N. V., “Drillstring-hole calculation in drilling simulator”, Mechanics, Seventh Polyakhov's Reading. Intern. Conference (Saint Petersburg, 2015), IEEE Xplore | DOI

[5] Basarygin Y. M., Bulatov A. I., Proselkov Y. M., Technology of drilling oil and gas wells, Nedra-Businesscenter Publ., M., 2002, 632 pp. (In Russian)

[6] Yunin E. K., Self-oscillations in deep drilling, Librokom Publ., M., 2013, 264 pp. (In Russian)

[7] Saroyan A. E., Theory and ptactice of drillstring work, Nedra Publ., M., 1990, 263 pp. (In Russian)

[8] Leine R. I., van Campen D. H., Keultjes W. J. G., “Stick-Slip whirl interaction in drill-string dynamics”, J. Vib. Acoust., 124 (2002), 209–220 | DOI

[9] Navarro-Lopez E. M., Suarez R., “Modelling and analysis of stick-slip behavior in a drillstring under dry friction”, Congreso anual de la AMCA, 2004, 330–335