{"title":"Torsional vibrations rejection in drilling systems: A combined observer-higher-order sliding mode control approach","authors":"Nesrine Belarif, Messaoud Chakir, Mohamed Tadjine, Nadjet Zioui","doi":"10.1016/j.petlm.2026.06.003","DOIUrl":null,"url":null,"abstract":"<div><div>One of the fundamental challenges in drilling systems is the phenomenon of torsional vibrations that can cause system destruction. This paper presents a new control approach to reject stick-slip vibrations in a drill-string. Firstly, a two-degree-of-freedom plant model with friction that represents the interaction between the rock formation and the drill bit is discussed. Secondly, a higher-order sliding mode control (HOSMC) is proposed in conjunction with a cascade structure to reject the vibrations. Thirdly, given the limitation of measuring only the surface top drive velocity, a state observer is designed to estimate system states, including bit-rock interaction torque. Realistic numerical simulations demonstrate the effectiveness of the proposed solution showcasing negligible residual oscillations on the order of 10<sup>−3</sup> and a better torque estimation, yet still to be improved, further demonstrating the effectiveness of the control strategy, highlighting its robustness, high precision, predefined convergence time, and ease of implementation.</div></div>","PeriodicalId":37433,"journal":{"name":"Petroleum","volume":"12 4","pages":"Pages 601-615"},"PeriodicalIF":5.5000,"publicationDate":"2026-08-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Petroleum","FirstCategoryId":"1087","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S240565612600074X","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"2026/6/9 0:00:00","PubModel":"Epub","JCR":"Q2","JCRName":"ENERGY & FUELS","Score":null,"Total":0}
引用次数: 0
Abstract
One of the fundamental challenges in drilling systems is the phenomenon of torsional vibrations that can cause system destruction. This paper presents a new control approach to reject stick-slip vibrations in a drill-string. Firstly, a two-degree-of-freedom plant model with friction that represents the interaction between the rock formation and the drill bit is discussed. Secondly, a higher-order sliding mode control (HOSMC) is proposed in conjunction with a cascade structure to reject the vibrations. Thirdly, given the limitation of measuring only the surface top drive velocity, a state observer is designed to estimate system states, including bit-rock interaction torque. Realistic numerical simulations demonstrate the effectiveness of the proposed solution showcasing negligible residual oscillations on the order of 10−3 and a better torque estimation, yet still to be improved, further demonstrating the effectiveness of the control strategy, highlighting its robustness, high precision, predefined convergence time, and ease of implementation.
期刊介绍:
Examples of appropriate topical areas that will be considered include the following: 1.comprehensive research on oil and gas reservoir (reservoir geology): -geological basis of oil and gas reservoirs -reservoir geochemistry -reservoir formation mechanism -reservoir identification methods and techniques 2.kinetics of oil and gas basins and analyses of potential oil and gas resources: -fine description factors of hydrocarbon accumulation -mechanism analysis on recovery and dynamic accumulation process -relationship between accumulation factors and the accumulation process -analysis of oil and gas potential resource 3.theories and methods for complex reservoir geophysical prospecting: -geophysical basis of deep geologic structures and background of hydrocarbon occurrence -geophysical prediction of deep and complex reservoirs -physical test analyses and numerical simulations of reservoir rocks -anisotropic medium seismic imaging theory and new technology for multiwave seismic exploration -o theories and methods for reservoir fluid geophysical identification and prediction 4.theories, methods, technology, and design for complex reservoir development: -reservoir percolation theory and application technology -field development theories and methods -theory and technology for enhancing recovery efficiency 5.working liquid for oil and gas wells and reservoir protection technology: -working chemicals and mechanics for oil and gas wells -reservoir protection technology 6.new techniques and technologies for oil and gas drilling and production: -under-balanced drilling/gas drilling -special-track well drilling -cementing and completion of oil and gas wells -engineering safety applications for oil and gas wells -new technology of fracture acidizing