Self-Excitation of Torsional Vibrations of Long Drillstrings in a Viscous Fluid
Autor: | S. N. Glazunov, O. V. Glushkova, V. I. Gulyaev, P. Z. Lugovoi |
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Rok vydání: | 2016 |
Předmět: |
Hopf bifurcation
Physics Mathematical model Mechanical Engineering Borehole Drilling 02 engineering and technology Mechanics Viscous liquid Vibration symbols.namesake 020303 mechanical engineering & transports Classical mechanics 020401 chemical engineering 0203 mechanical engineering Mechanics of Materials symbols Partial derivative 0204 chemical engineering Excitation |
Zdroj: | International Applied Mechanics. 52:155-164 |
ISSN: | 1573-8582 1063-7095 |
DOI: | 10.1007/s10778-016-0743-9 |
Popis: | The problem of the self-excitation of the torsional oscillations of a drillstring rotating in a fluid in a deep borehole is stated. Three models describing the mechanical interaction between the drillstring and the viscous fluid are discussed. Governing equations with ordinary and partial derivatives are derived. A method to solve them is developed. Computer simulation shows that the self-oscillations are relaxational and the curves of the functions that describe them have sections of fast and slow motions. The results of simulation can be used to develop a technique for drilling deep oil and gas boreholes |
Databáze: | OpenAIRE |
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