期刊
APPLIED MATHEMATICAL MODELLING
卷 76, 期 -, 页码 545-557出版社
ELSEVIER SCIENCE INC
DOI: 10.1016/j.apm.2019.06.012
关键词
Drill-string; Stick-slip; Multistability; Nonsmooth dynamical system; Numerical continuation
资金
- EPSRC [EP/P023983/1]
- National Natural Science Foundation of China [11672257, 11872147]
- China Scholarship Council [201708510133]
- EPSRC [EP/P023983/1] Funding Source: UKRI
The generalized lumped-parameter model of the drill-string system is studied in this paper to provide a fundamental understanding of the torsional stick-slip vibrations in down hole drilling. Our investigation focuses on analysing the cause of three coexisting states: bit sticking, stick-slip vibration, and constant rotation. A critical region of multistability is identified based on the lumped-parameter model, and the conditions for switching between these multiple stable states are discussed. Special attention is given to the bifurcation structure of the considered drill-string model, which is obtained via path-following methods for nonsmooth dynamical systems. The bifurcation scenario is compared to the case when a longer drill-string is considered, which amounts to drilling deeper. It is found that the main features of the bifurcation picture persist under variation of the drill-string length, with certain numerical differences regarding for instance the window of multistability. (C) 2019 The Authors. Published by Elsevier Inc.
作者
我是这篇论文的作者
点击您的名字以认领此论文并将其添加到您的个人资料中。
推荐
暂无数据