Dynamics of a distributed drill string system: Characteristic parameters and stability maps

U.J.F. Aarsnes, N. van de Wouw

Research output: Contribution to journalArticleAcademicpeer-review

12 Citations (Scopus)
5 Downloads (Pure)

Abstract

This paper involves the dynamic (stability) analysis of distributed drill-string systems. A minimal set of parameters characterizing the linearized, axial-torsional dynamics of a distributed drill string coupled through the bit-rock interaction is derived. This is found to correspond to five parameters for a simple drill string and eight parameters for a two-sectioned drill-string (e.g., corresponding to the pipe and collar sections of a drilling system). These dynamic characterizations are used to plot the inverse gain margin of the system, parametrized in the non-dimensional parameters, effectively creating a stability map covering the full range of realistic physical parameters. This analysis reveals a complex spectrum of dynamics not evident in stability analysis with lumped models, thus indicating the importance of analysis using distributed models. Moreover, it reveals trends concerning stability properties depending on key system parameters useful in the context of system and control design aiming at the mitigation of vibrations.

Original languageEnglish
Pages (from-to)376-412
Number of pages37
JournalJournal of Sound and Vibration
Volume417
DOIs
Publication statusPublished - 17 Mar 2018

Fingerprint

Drill strings
strings
dynamic stability
Drilling
Rocks
Pipe
drilling
systems engineering
margins
coverings
plots
rocks
trends
vibration

Keywords

  • Delay equations
  • Distributed systems
  • Drill-string vibrations
  • Infinite dimensional systems
  • Stability
  • Stick-slip

Cite this

@article{ecbe2fda06e94116b890afba933c08e1,
title = "Dynamics of a distributed drill string system: Characteristic parameters and stability maps",
abstract = "This paper involves the dynamic (stability) analysis of distributed drill-string systems. A minimal set of parameters characterizing the linearized, axial-torsional dynamics of a distributed drill string coupled through the bit-rock interaction is derived. This is found to correspond to five parameters for a simple drill string and eight parameters for a two-sectioned drill-string (e.g., corresponding to the pipe and collar sections of a drilling system). These dynamic characterizations are used to plot the inverse gain margin of the system, parametrized in the non-dimensional parameters, effectively creating a stability map covering the full range of realistic physical parameters. This analysis reveals a complex spectrum of dynamics not evident in stability analysis with lumped models, thus indicating the importance of analysis using distributed models. Moreover, it reveals trends concerning stability properties depending on key system parameters useful in the context of system and control design aiming at the mitigation of vibrations.",
keywords = "Delay equations, Distributed systems, Drill-string vibrations, Infinite dimensional systems, Stability, Stick-slip",
author = "U.J.F. Aarsnes and {van de Wouw}, N.",
year = "2018",
month = "3",
day = "17",
doi = "10.1016/j.jsv.2017.12.002",
language = "English",
volume = "417",
pages = "376--412",
journal = "Journal of Sound and Vibration",
issn = "0022-460X",
publisher = "Academic Press Inc.",

}

Dynamics of a distributed drill string system : Characteristic parameters and stability maps. / Aarsnes, U.J.F.; van de Wouw, N.

In: Journal of Sound and Vibration, Vol. 417, 17.03.2018, p. 376-412.

Research output: Contribution to journalArticleAcademicpeer-review

TY - JOUR

T1 - Dynamics of a distributed drill string system

T2 - Characteristic parameters and stability maps

AU - Aarsnes, U.J.F.

AU - van de Wouw, N.

PY - 2018/3/17

Y1 - 2018/3/17

N2 - This paper involves the dynamic (stability) analysis of distributed drill-string systems. A minimal set of parameters characterizing the linearized, axial-torsional dynamics of a distributed drill string coupled through the bit-rock interaction is derived. This is found to correspond to five parameters for a simple drill string and eight parameters for a two-sectioned drill-string (e.g., corresponding to the pipe and collar sections of a drilling system). These dynamic characterizations are used to plot the inverse gain margin of the system, parametrized in the non-dimensional parameters, effectively creating a stability map covering the full range of realistic physical parameters. This analysis reveals a complex spectrum of dynamics not evident in stability analysis with lumped models, thus indicating the importance of analysis using distributed models. Moreover, it reveals trends concerning stability properties depending on key system parameters useful in the context of system and control design aiming at the mitigation of vibrations.

AB - This paper involves the dynamic (stability) analysis of distributed drill-string systems. A minimal set of parameters characterizing the linearized, axial-torsional dynamics of a distributed drill string coupled through the bit-rock interaction is derived. This is found to correspond to five parameters for a simple drill string and eight parameters for a two-sectioned drill-string (e.g., corresponding to the pipe and collar sections of a drilling system). These dynamic characterizations are used to plot the inverse gain margin of the system, parametrized in the non-dimensional parameters, effectively creating a stability map covering the full range of realistic physical parameters. This analysis reveals a complex spectrum of dynamics not evident in stability analysis with lumped models, thus indicating the importance of analysis using distributed models. Moreover, it reveals trends concerning stability properties depending on key system parameters useful in the context of system and control design aiming at the mitigation of vibrations.

KW - Delay equations

KW - Distributed systems

KW - Drill-string vibrations

KW - Infinite dimensional systems

KW - Stability

KW - Stick-slip

UR - http://www.scopus.com/inward/record.url?scp=85041511470&partnerID=8YFLogxK

U2 - 10.1016/j.jsv.2017.12.002

DO - 10.1016/j.jsv.2017.12.002

M3 - Article

AN - SCOPUS:85041511470

VL - 417

SP - 376

EP - 412

JO - Journal of Sound and Vibration

JF - Journal of Sound and Vibration

SN - 0022-460X

ER -