Abstract
High amplitude vibration of drill-strings can lead to damage or loss of down-hole equipment costing the industry hundreds of millions of dollars per year. Theoretical models of drill-string dynamics are often limited to lumped parameter models of subsections of the drilling assembly that are difficult to correlate with real systems, or high resolution finite elements models that are more realistic but computationally demanding and do not provide clear insight into the fundamental mechanisms at play. In addition, drill-strings are subject to many uncertainties: to model these using Monte-Carlo simulations can be prohibitively slow. This paper presents a digital filter implementation of the transfer matrix method that allows time-domain coupling of the full length of a periodic drill-string to other systems or arbitrary, localised non-linearities. In this way the dynamics of the complete drill-string are included and the computational effort is focussed on those parts of the system that are harder to model while retaining the efficiency of the linear model where it applies. The efficiency makes the use of Monte-Carlo simulations to explore uncertainties a feasible approach.
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Butlin, T., Langley, R.S. (2011). An efficient model of drill-string dynamics with localised non-linearities. In: Belyaev, A., Langley, R. (eds) IUTAM Symposium on the Vibration Analysis of Structures with Uncertainties. IUTAM Bookseries, vol 27. Springer, Dordrecht. https://doi.org/10.1007/978-94-007-0289-9_28
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DOI: https://doi.org/10.1007/978-94-007-0289-9_28
Publisher Name: Springer, Dordrecht
Print ISBN: 978-94-007-0288-2
Online ISBN: 978-94-007-0289-9
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