Titlebook: Analysis and Control of Oilwell Drilling Vibrations; A Time-Delay Systems Martha Belem Saldivar Márquez,Islam Boussaada,Silv Book 2015 Spri

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An Overview of Drillstring Modelsis chapter presents a brief compilation of the most popular modeling strategies allowing the analysis and control of a vertical oilwell drilling system. Drilling models can be classified into three general categories: 1. Lumped parameter models which regard the drillstring as a mass-spring-damper sy

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Bit-Rock Frictional Interfaceich empirically captures the interaction between the cutting device and the rock. An appropriate model of friction allows gaining insight into drillstring vibration phenomena thus characterizing the dynamic behavior at bit level and making possible the development of appropriate control strategies t

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Neutral-Type Time-Delay Systems: Theoretical BackgroundDifferential Equations (ODE). A neutral-type time-delay equation also known as Neutral Functional Differential Equation (NFDE) describes a system in which the rate of change of the state depends not only on the present and past values of the system state but also on the earlier value of the state ra

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Ultimate Boundedness Analysistotic or exponential stability in the sense of Lyapunov) can be too restrictive. Namely, the state of a system may be mathematically unstable in some classical sense, but the response oscillates close enough to the equilibrium, to be considered as acceptable. In many stabilization problems, the aim

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Field Observations and Empirical Drilling Controlibrations. A detailed description of the three main types of drillstring vibrations (longitudinal, axial, and torsional) is presented in this chapter. Failures induced by drillstring vibrations lead to premature wear of the system components, breakage of drilling bits, unscrewing of pipe connections

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Flatness-Based Control of Drilling Vibrationssystem satisfying the flatness property is called a differentially flat system. The main attribute of flat systems is that the state and input variables can be directly expressed without integrating any differential equation, in terms of one particular set of variables called a flat output and a fin