2018
DOI: 10.1016/j.jsv.2018.07.016
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Semi-analytical model of the axial movements of an oil-well drillstring in deviated wellbores

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Cited by 11 publications
(13 citation statements)
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“…Viscous damping is included to simulate the dissipation of energy in the vibrating body. The viscous damping in vertical wells includes the effect of drilling mud between the borehole and string [11]. The damping matrix is defined as D = diag(R 1 , R 2 , .…”
Section: Non-conservative Forcesmentioning
confidence: 99%
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“…Viscous damping is included to simulate the dissipation of energy in the vibrating body. The viscous damping in vertical wells includes the effect of drilling mud between the borehole and string [11]. The damping matrix is defined as D = diag(R 1 , R 2 , .…”
Section: Non-conservative Forcesmentioning
confidence: 99%
“…Hovda [11] presents an axial model of a drill-string assembly with a finite number of discrete mass-spring-damper elements. Unlike the above-mentioned work, this model incorporates the skin-friction arising from the mud-flow in the annulus of the well.…”
Section: Introductionmentioning
confidence: 99%
“…In Hovda, 6 axial vibrations of a vertical wellbore are described, while the axial vibrations of a deviated wellbore while reaming are outlined in Hovda. 7 A model for the torsional vibrations is presented in Hovda. 8 These semi-analytical models are particularly suited for a switching model approach, since they can include three-dimensional wellbore geometries and nonhomogeneous pipe sizes.…”
Section: Introductionmentioning
confidence: 99%
“…A lumped parameter formulation is also used in [12] to tackle the torsional vibrations and instabilities of a drillstring including a nonlinear velocity-dependent friction torque representing the bit-rock interaction. Recently, this discrete approach was employed to study the axial motion of a drill-sting in a curved borehole in [13].…”
Section: List Of Tablesmentioning
confidence: 99%
“…A definition of the directors in the current configuration is given in terms of quaternion components in (2)(3)(4)(5)(6)(7)(8)(9)(10)(11)(12)(13)(14)(15)(16)(17)(18). Those components need to fulfil the relation (2)(3)(4)(5)(6)(7)(8)(9)(10)(11)(12)(13)(14)(15)(16)(17)(18)(19), which imposes a constraint that guarantees that the quaternion is unitary.…”
Section: The Angular Velocity In Terms Of Quaternion Componentsmentioning
confidence: 99%