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 journalArticle

Abstract

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
JournalInternational Journal of Mechanical Sciences
Early online date16 Jan 2020
DOIs
Publication statusE-pub ahead of print - 16 Jan 2020

Fingerprint

Drill strings
drill bits
Horizontal wells
strings
Friction
Boreholes
Dynamic models
boreholes
dynamic models
Drill pipe
friction
Time delay
Drilling
drilling
Rocks
coefficient of friction
time lag
degrees of freedom
nonlinearity
interactions

Keywords

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

Cite this

@article{f684cec148454a8eac700b1bb4b72f50,
title = "Nonlinear dynamics of lump mass model of drill-string in horizontal well",
abstract = "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.",
keywords = "Horizontal well, Drill-string dynamics, Coupled motions, State-dependent delay, Complex whirling",
author = "Dou Xie and Zhiqiang Huang and Yachao Ma and Vahid Vaziri and Marcin Kapitaniak and Marian Wiercigroch",
note = "Acknowledgments 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).",
year = "2020",
month = "1",
day = "16",
doi = "10.1016/j.ijmecsci.2020.105450",
language = "English",
journal = "International Journal of Mechanical Sciences",
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TY - JOUR

T1 - Nonlinear dynamics of lump mass model of drill-string in horizontal well

AU - Xie, Dou

AU - Huang, Zhiqiang

AU - Ma, Yachao

AU - Vaziri, Vahid

AU - Kapitaniak, Marcin

AU - Wiercigroch, Marian

N1 - Acknowledgments 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).

PY - 2020/1/16

Y1 - 2020/1/16

N2 - 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.

AB - 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.

KW - Horizontal well

KW - Drill-string dynamics

KW - Coupled motions

KW - State-dependent delay

KW - Complex whirling

U2 - 10.1016/j.ijmecsci.2020.105450

DO - 10.1016/j.ijmecsci.2020.105450

M3 - Article

JO - International Journal of Mechanical Sciences

JF - International Journal of Mechanical Sciences

SN - 0020-7403

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