Nonlinear dynamics of lump mass model of drill-string in horizontal well

Dou Xie, Zhiqiang Huang*, Yachao Ma, Vahid Vaziri, Marcin Kapitaniak, Marian Wiercigroch

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

40 Citations (Scopus)
4 Downloads (Pure)


We develop a dynamic model of a drill-string in a horizontal well having six degrees-of-freedom, which accounts for longitudinal, lateral and torsional motions. In this model, nonlinearities that arise due to intermittent contacts of a drill-pipe with a borehole wall and complex interactions between a drill-bit and a rock formation are all considered. The lateral motions of the drill-bit are restricted and its interactions with a borehole generate an interlaced force being result of a friction and a cutting that has a regenerative effect. In the cutting process, a state-dependent time delay is introduced to couple the axial and torsional motions of the drill-bit. The dynamic model established in this article is tested where the friction and cutting effects are gradually switched on, which shows that the model is robust. Subsequently, the complex whirling of a horizontal drill-string is analyzed and a particular attention is given to the influence of driving rotation speed and dynamic friction coefficient. The study should help us to better understand nonlinear dynamic effects of drill-strings in horizontal wells, which will lay a foundation for optimizing drilling parameters.
Original languageEnglish
Article number105450
Number of pages14
JournalInternational Journal of Mechanical Sciences
Early online date16 Jan 2020
Publication statusPublished - 15 May 2020

Bibliographical note

The authors cordially acknowledge the financial support from the Science and Technology Planning Project of Sichuan Province (Grant No.: 18YYJC1146) and the Science and Technology Innovation Seedling Project of Sichuan Province (Grant No.: 2018092).


  • Horizontal well
  • Drill-string dynamics
  • Coupled motions
  • State-dependent delay
  • Complex whirling


Dive into the research topics of 'Nonlinear dynamics of lump mass model of drill-string in horizontal well'. Together they form a unique fingerprint.

Cite this