Modelling and dynamic analysis of an anti-stall tool in a drilling system including spatial friction

Roeland Wildemans (Corresponding author), Arviandy Aribowo, Emmanuel Detournay, Nathan van de Wouw

Research output: Contribution to journalArticleAcademicpeer-review

Abstract

This paper investigates the effects of a down-hole anti-stall tool (AST) in deviated wells on the drilling performance of a rotary drilling system. Deviated wells typically induce frictional contact between the drill-string and the borehole, which affects the drill-string dynamics. In order to study the influence of such frictional effects on the effectiveness of the AST in improving the rate-of-penetration and drilling efficiency, a model-based approach is proposed. A dynamic model with coupled axial and torsional dynamics of a drilling system including the down-hole tool in an inclined well is constructed. Furthermore, the frictional contact between the drill-string and the borehole is modelled by a set-valued spatial Coulomb friction law affecting both the axial and torsional dynamics. These dynamics are described by state-dependent delay differential inclusions. Numerical analysis of this model shows that the rate-of-penetration and drilling efficiency increases by inclusion of the AST, both in the case with and without spatial Coulomb friction. Furthermore, a parametric design study of the AST in different inclined drilling scenarios is performed. This study reveals a design for the AST, which gives optimal drilling efficiency, robustly over a broad range of inclined drilling scenarios.

Original languageEnglish
JournalNonlinear Dynamics
DOIs
Publication statusE-pub ahead of print - 27 Jun 2019

Fingerprint

Drilling
Dynamic Analysis
Dynamic analysis
Friction
Drill strings
Modeling
Inclined
Coulomb Friction
Frictional Contact
Strings
Boreholes
Penetration
Parametric Design
State-dependent Delay
Scenarios
Differential Inclusions
Numerical analysis
Numerical Analysis
Dynamic models
Dynamic Model

Keywords

  • Drill-string dynamics
  • Set-valued force laws
  • Spatial Coulomb friction
  • State-dependent delay differential inclusions

Cite this

@article{67b23186b29d42f381ffaf6277e8d42e,
title = "Modelling and dynamic analysis of an anti-stall tool in a drilling system including spatial friction",
abstract = "This paper investigates the effects of a down-hole anti-stall tool (AST) in deviated wells on the drilling performance of a rotary drilling system. Deviated wells typically induce frictional contact between the drill-string and the borehole, which affects the drill-string dynamics. In order to study the influence of such frictional effects on the effectiveness of the AST in improving the rate-of-penetration and drilling efficiency, a model-based approach is proposed. A dynamic model with coupled axial and torsional dynamics of a drilling system including the down-hole tool in an inclined well is constructed. Furthermore, the frictional contact between the drill-string and the borehole is modelled by a set-valued spatial Coulomb friction law affecting both the axial and torsional dynamics. These dynamics are described by state-dependent delay differential inclusions. Numerical analysis of this model shows that the rate-of-penetration and drilling efficiency increases by inclusion of the AST, both in the case with and without spatial Coulomb friction. Furthermore, a parametric design study of the AST in different inclined drilling scenarios is performed. This study reveals a design for the AST, which gives optimal drilling efficiency, robustly over a broad range of inclined drilling scenarios.",
keywords = "Drill-string dynamics, Set-valued force laws, Spatial Coulomb friction, State-dependent delay differential inclusions",
author = "Roeland Wildemans and Arviandy Aribowo and Emmanuel Detournay and {van de Wouw}, Nathan",
year = "2019",
month = "6",
day = "27",
doi = "10.1007/s11071-019-05075-6",
language = "English",
journal = "Nonlinear Dynamics",
issn = "0924-090X",
publisher = "Springer",

}

TY - JOUR

T1 - Modelling and dynamic analysis of an anti-stall tool in a drilling system including spatial friction

AU - Wildemans, Roeland

AU - Aribowo, Arviandy

AU - Detournay, Emmanuel

AU - van de Wouw, Nathan

PY - 2019/6/27

Y1 - 2019/6/27

N2 - This paper investigates the effects of a down-hole anti-stall tool (AST) in deviated wells on the drilling performance of a rotary drilling system. Deviated wells typically induce frictional contact between the drill-string and the borehole, which affects the drill-string dynamics. In order to study the influence of such frictional effects on the effectiveness of the AST in improving the rate-of-penetration and drilling efficiency, a model-based approach is proposed. A dynamic model with coupled axial and torsional dynamics of a drilling system including the down-hole tool in an inclined well is constructed. Furthermore, the frictional contact between the drill-string and the borehole is modelled by a set-valued spatial Coulomb friction law affecting both the axial and torsional dynamics. These dynamics are described by state-dependent delay differential inclusions. Numerical analysis of this model shows that the rate-of-penetration and drilling efficiency increases by inclusion of the AST, both in the case with and without spatial Coulomb friction. Furthermore, a parametric design study of the AST in different inclined drilling scenarios is performed. This study reveals a design for the AST, which gives optimal drilling efficiency, robustly over a broad range of inclined drilling scenarios.

AB - This paper investigates the effects of a down-hole anti-stall tool (AST) in deviated wells on the drilling performance of a rotary drilling system. Deviated wells typically induce frictional contact between the drill-string and the borehole, which affects the drill-string dynamics. In order to study the influence of such frictional effects on the effectiveness of the AST in improving the rate-of-penetration and drilling efficiency, a model-based approach is proposed. A dynamic model with coupled axial and torsional dynamics of a drilling system including the down-hole tool in an inclined well is constructed. Furthermore, the frictional contact between the drill-string and the borehole is modelled by a set-valued spatial Coulomb friction law affecting both the axial and torsional dynamics. These dynamics are described by state-dependent delay differential inclusions. Numerical analysis of this model shows that the rate-of-penetration and drilling efficiency increases by inclusion of the AST, both in the case with and without spatial Coulomb friction. Furthermore, a parametric design study of the AST in different inclined drilling scenarios is performed. This study reveals a design for the AST, which gives optimal drilling efficiency, robustly over a broad range of inclined drilling scenarios.

KW - Drill-string dynamics

KW - Set-valued force laws

KW - Spatial Coulomb friction

KW - State-dependent delay differential inclusions

UR - http://www.scopus.com/inward/record.url?scp=85068338186&partnerID=8YFLogxK

U2 - 10.1007/s11071-019-05075-6

DO - 10.1007/s11071-019-05075-6

M3 - Article

AN - SCOPUS:85068338186

JO - Nonlinear Dynamics

JF - Nonlinear Dynamics

SN - 0924-090X

ER -