Drilling Systems: Stability and Hidden Oscillations

M.A. Kiseleva, G.A. Leonov, N.V. Kuznetsov, P. Neittaanmäki

Результат исследований: Публикации в книгах, отчётах, сборниках, трудах конференцийглава/разделнаучная

Выдержка

There are many mathematical models of drilling systems Despite, huge efforts in constructing models that would allow for precise analysis, drilling systems, still experience breakdowns. Due to complexity of systems, engineers mostly use numerical analysis, which may lead to unreliable results. Nowadays, advances in computer engineering allow for simulations of complex dynamical systems in order to obtain information on the behavior of their trajectories. However, this simple approach based on construction of trajectories using numerical integration of differential equations describing dynamical systems turned out to be quite limited for investigation of stability and oscillations of these systems. This issue is very crucial in applied research; for example, as stated in Lauvdal et al. (Proceedings of the IEEE control and decision conference, 1997) the following phrase: “Since stability in simulations does not imply stability of the physical control system (an example is the crash of the YF22) stronger theoretical understanding is required”. In this work, firstly a mathematical model of a drilling system developed by a group of scientists from the University of Eindhoven will be considered. Then a mathematical model of a drilling system with perfectly rigid drill-string actuated by induction motor will be analytically and numerically studied. A modification of the first two models will be considered and it will be shown that even in such simple models of drilling systems complex effects such as hidden oscillations may appear, which are hard to find by standard computational procedures.
Язык оригиналаанглийский
Название основной публикацииDiscontinuity and Complexity in Nonlinear Physical Systems
Подзаголовок основной публикации Nonlinear Systems and Complexity
ИздательSpringer
Страницы287-304
ТомNSCH, volume 6
ISBN (печатное издание)978-3-319-01410-4
СостояниеОпубликовано - 2014

Отпечаток

System stability
Drilling
Mathematical models
Dynamical systems
Trajectories
Drill strings
Induction motors
Numerical analysis
Differential equations
Control systems
Engineers

Цитировать

Kiseleva, M. A., Leonov, G. A., Kuznetsov, N. V., & Neittaanmäki, P. (2014). Drilling Systems: Stability and Hidden Oscillations. В Discontinuity and Complexity in Nonlinear Physical Systems: Nonlinear Systems and Complexity (Том NSCH, volume 6, стр. 287-304). Springer.
Kiseleva, M.A. ; Leonov, G.A. ; Kuznetsov, N.V. ; Neittaanmäki, P. / Drilling Systems: Stability and Hidden Oscillations. Discontinuity and Complexity in Nonlinear Physical Systems: Nonlinear Systems and Complexity. Том NSCH, volume 6 Springer, 2014. стр. 287-304
@inbook{908240dea7be4fd9bb3b4cab94e5d64e,
title = "Drilling Systems: Stability and Hidden Oscillations",
abstract = "There are many mathematical models of drilling systems Despite, huge efforts in constructing models that would allow for precise analysis, drilling systems, still experience breakdowns. Due to complexity of systems, engineers mostly use numerical analysis, which may lead to unreliable results. Nowadays, advances in computer engineering allow for simulations of complex dynamical systems in order to obtain information on the behavior of their trajectories. However, this simple approach based on construction of trajectories using numerical integration of differential equations describing dynamical systems turned out to be quite limited for investigation of stability and oscillations of these systems. This issue is very crucial in applied research; for example, as stated in Lauvdal et al. (Proceedings of the IEEE control and decision conference, 1997) the following phrase: “Since stability in simulations does not imply stability of the physical control system (an example is the crash of the YF22) stronger theoretical understanding is required”. In this work, firstly a mathematical model of a drilling system developed by a group of scientists from the University of Eindhoven will be considered. Then a mathematical model of a drilling system with perfectly rigid drill-string actuated by induction motor will be analytically and numerically studied. A modification of the first two models will be considered and it will be shown that even in such simple models of drilling systems complex effects such as hidden oscillations may appear, which are hard to find by standard computational procedures.",
author = "M.A. Kiseleva and G.A. Leonov and N.V. Kuznetsov and P. Neittaanm{\"a}ki",
year = "2014",
language = "English",
isbn = "978-3-319-01410-4",
volume = "NSCH, volume 6",
pages = "287--304",
booktitle = "Discontinuity and Complexity in Nonlinear Physical Systems",
publisher = "Springer",
address = "Germany",

}

Kiseleva, MA, Leonov, GA, Kuznetsov, NV & Neittaanmäki, P 2014, Drilling Systems: Stability and Hidden Oscillations. в Discontinuity and Complexity in Nonlinear Physical Systems: Nonlinear Systems and Complexity. том. NSCH, volume 6, Springer, стр. 287-304.

Drilling Systems: Stability and Hidden Oscillations. / Kiseleva, M.A.; Leonov, G.A.; Kuznetsov, N.V.; Neittaanmäki, P.

Discontinuity and Complexity in Nonlinear Physical Systems: Nonlinear Systems and Complexity. Том NSCH, volume 6 Springer, 2014. стр. 287-304.

Результат исследований: Публикации в книгах, отчётах, сборниках, трудах конференцийглава/разделнаучная

TY - CHAP

T1 - Drilling Systems: Stability and Hidden Oscillations

AU - Kiseleva, M.A.

AU - Leonov, G.A.

AU - Kuznetsov, N.V.

AU - Neittaanmäki, P.

PY - 2014

Y1 - 2014

N2 - There are many mathematical models of drilling systems Despite, huge efforts in constructing models that would allow for precise analysis, drilling systems, still experience breakdowns. Due to complexity of systems, engineers mostly use numerical analysis, which may lead to unreliable results. Nowadays, advances in computer engineering allow for simulations of complex dynamical systems in order to obtain information on the behavior of their trajectories. However, this simple approach based on construction of trajectories using numerical integration of differential equations describing dynamical systems turned out to be quite limited for investigation of stability and oscillations of these systems. This issue is very crucial in applied research; for example, as stated in Lauvdal et al. (Proceedings of the IEEE control and decision conference, 1997) the following phrase: “Since stability in simulations does not imply stability of the physical control system (an example is the crash of the YF22) stronger theoretical understanding is required”. In this work, firstly a mathematical model of a drilling system developed by a group of scientists from the University of Eindhoven will be considered. Then a mathematical model of a drilling system with perfectly rigid drill-string actuated by induction motor will be analytically and numerically studied. A modification of the first two models will be considered and it will be shown that even in such simple models of drilling systems complex effects such as hidden oscillations may appear, which are hard to find by standard computational procedures.

AB - There are many mathematical models of drilling systems Despite, huge efforts in constructing models that would allow for precise analysis, drilling systems, still experience breakdowns. Due to complexity of systems, engineers mostly use numerical analysis, which may lead to unreliable results. Nowadays, advances in computer engineering allow for simulations of complex dynamical systems in order to obtain information on the behavior of their trajectories. However, this simple approach based on construction of trajectories using numerical integration of differential equations describing dynamical systems turned out to be quite limited for investigation of stability and oscillations of these systems. This issue is very crucial in applied research; for example, as stated in Lauvdal et al. (Proceedings of the IEEE control and decision conference, 1997) the following phrase: “Since stability in simulations does not imply stability of the physical control system (an example is the crash of the YF22) stronger theoretical understanding is required”. In this work, firstly a mathematical model of a drilling system developed by a group of scientists from the University of Eindhoven will be considered. Then a mathematical model of a drilling system with perfectly rigid drill-string actuated by induction motor will be analytically and numerically studied. A modification of the first two models will be considered and it will be shown that even in such simple models of drilling systems complex effects such as hidden oscillations may appear, which are hard to find by standard computational procedures.

UR - https://doi.org/10.1007/978-3-319-01411-1_15

M3 - Chapter

SN - 978-3-319-01410-4

VL - NSCH, volume 6

SP - 287

EP - 304

BT - Discontinuity and Complexity in Nonlinear Physical Systems

PB - Springer

ER -

Kiseleva MA, Leonov GA, Kuznetsov NV, Neittaanmäki P. Drilling Systems: Stability and Hidden Oscillations. В Discontinuity and Complexity in Nonlinear Physical Systems: Nonlinear Systems and Complexity. Том NSCH, volume 6. Springer. 2014. стр. 287-304