Stochastic Dynamics in Rotary and Vibration-assisted Drilling

dc.contributor.advisorSpanos, Polen_US
dc.creatorMarquez, Eleazaren_US
dc.date.accessioned2017-08-03T15:59:51Zen_US
dc.date.available2017-08-03T15:59:51Zen_US
dc.date.created2016-05en_US
dc.date.issued2016-04-20en_US
dc.date.submittedMay 2016en_US
dc.date.updated2017-08-03T15:59:52Zen_US
dc.description.abstractUnderstanding the complete spectrum of vibration phenomena remains a theme of chronic effort in rotary drilling and vibration-assisted (VAD) technology due to the stochastic nature of bottom-hole assembly (BHA) dynamics, and the limited number of models involving probabilistic approaches. In particular, lateral vibration represents an aggressive and disruptive type of oscillatory pattern given its high frequency content and ability to induce geometrical variations, centrifugal-induced bowing patterns, and severe bore-hole damage. In this study, three improved mathematical representations are proposed with the intent of pragmatically characterizing the manifestation of phenomenological irregularities induced from bit-rock interference, fluid motion along the annulus, and recent VAD technology. In this manner, elucidating the complex physical attributes of a demanding engineering problem surrounding the national economy is achieved. Parameter identification for each dynamic model implies incorporating a finite element technique, where the flexibility of the drill-string and elastic characteristics of the well-bore are accounted for. To address the nature of the nonlinearity, the method of statistical linearization is incorporated to replace the nonlinear dynamical system with a set of linear equations, and thus establish an exact, analytical form of solution. Further, the stochastic nature of the BHA is addressed by imposing stationary/non-stationary excitations at the drill-bit segment and implementing Monte Carlo simulation to approximate the corresponding spectral density function. For this purpose, colored noise is filtered through an auto-regressive scheme to replicate the performance of a polycrystalline diamond compact (PDC) drill-bit.en_US
dc.format.mimetypeapplication/pdfen_US
dc.identifier.citationMarquez, Eleazar. "Stochastic Dynamics in Rotary and Vibration-assisted Drilling." (2016) Diss., Rice University. <a href="https://hdl.handle.net/1911/96548">https://hdl.handle.net/1911/96548</a>.en_US
dc.identifier.urihttps://hdl.handle.net/1911/96548en_US
dc.language.isoengen_US
dc.rightsCopyright is held by the author, unless otherwise indicated. Permission to reuse, publish, or reproduce the work beyond the bounds of fair use or other exemptions to copyright law must be obtained from the copyright holder.en_US
dc.subjectStochasticen_US
dc.subjectNonlinearen_US
dc.subjectStatistical Linearizationen_US
dc.subjectVibrationen_US
dc.subjectRotary Drillingen_US
dc.subjectVibration-assisteden_US
dc.titleStochastic Dynamics in Rotary and Vibration-assisted Drillingen_US
dc.typeThesisen_US
dc.type.materialTexten_US
thesis.degree.departmentMechanical Engineeringen_US
thesis.degree.disciplineEngineeringen_US
thesis.degree.grantorRice Universityen_US
thesis.degree.levelDoctoralen_US
thesis.degree.majorStochastic Dynamicsen_US
thesis.degree.nameDoctor of Philosophyen_US
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