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

Roeland Wildemans, Arviandy Aribowo, Emmanuel M Detournay, Nathan van de Wouw

Research output: Contribution to journalArticlepeer-review

9 Scopus citations


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 (US)
Pages (from-to)2631-2650
Number of pages20
JournalNonlinear Dynamics
Issue number4
StatePublished - Dec 1 2019

Bibliographical note

Funding Information:
This study is supported by the Indonesian Endowment Fund for Education (LPDP) of the Republic of Indonesia (Grant No. PRJ-4653/LPDP.3/2016).

Publisher Copyright:
© 2019, The Author(s).


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


Dive into the research topics of 'Modelling and dynamic analysis of an anti-stall tool in a drilling system including spatial friction'. Together they form a unique fingerprint.

Cite this