2022
DOI: 10.1016/j.cnsns.2021.106065
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Analysis on the nonlinear lateral vibration of drillstring in curved wells with beam finite element

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Cited by 13 publications
(3 citation statements)
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“…where T refers to kinetic energy, V refers to potential energy, U i refers to the velocity of the node, and F i refers to the external force applied to the node. The expression for the total kinetic energy of the beam unit 21,22 is where _ u xo , _ u yo , and _ u zo , refer to translation velocity on X, Y, and Z, respectively, in m/s; u x , u y , and u z refer to the angles of the beam element section around the xaxes, y-axes, and z-axes, respectively, in rad; _ u x , _ u y , and _ u z refer to the angular speed of the beam element section around the x-axes, y-axes, and z-axes, in rad/s; e refers to the eccentric distance of a section, in m; O refers to the actual rotation speed of drill string in the pit, rad/s; r refers to the density of drill string, in kg/m 3 ; l e refers to the length of a beam element, in m; A refers to the cross-sectional area of a beam element, in m 2 ; I x refers to the polar moment of inertia of the cross section of a beam element, in m 4 ; I yz refers to the moment of inertia of the cross section of a beam element, in m 4 . In equation ( 3), the first three terms represent the translational kinetic energy, while the last two terms represent the rotational kinetic energy.…”
Section: Establishment Of Dynamic Modelmentioning
confidence: 99%
“…where T refers to kinetic energy, V refers to potential energy, U i refers to the velocity of the node, and F i refers to the external force applied to the node. The expression for the total kinetic energy of the beam unit 21,22 is where _ u xo , _ u yo , and _ u zo , refer to translation velocity on X, Y, and Z, respectively, in m/s; u x , u y , and u z refer to the angles of the beam element section around the xaxes, y-axes, and z-axes, respectively, in rad; _ u x , _ u y , and _ u z refer to the angular speed of the beam element section around the x-axes, y-axes, and z-axes, in rad/s; e refers to the eccentric distance of a section, in m; O refers to the actual rotation speed of drill string in the pit, rad/s; r refers to the density of drill string, in kg/m 3 ; l e refers to the length of a beam element, in m; A refers to the cross-sectional area of a beam element, in m 2 ; I x refers to the polar moment of inertia of the cross section of a beam element, in m 4 ; I yz refers to the moment of inertia of the cross section of a beam element, in m 4 . In equation ( 3), the first three terms represent the translational kinetic energy, while the last two terms represent the rotational kinetic energy.…”
Section: Establishment Of Dynamic Modelmentioning
confidence: 99%
“…Li et al 9,10 established a lateral dynamic model of drill string in a highly inclined well by finite element theory, and the effects of rotational speed, WOB, well deviation angle, and friction coefficient on the lateral vibration of drill string are verified. On the basis of previous studies on vertical and curved wells, Cai et al 11 established a dynamic model of BHA in curved boreholes by discrete element method, the numerical results were obtained by solving differential equations with generalized alpha method; The accuracy of theoretical model and numerical simulation was verified by field measurement data, which provided ideas and schemes for the study of drill string dynamics in curved wells. Aiming at the problem of low penetration rate of traditional anti-inclination drill assembly, Fu et al 12 established a dynamic model of BHA with prebent joint by finite element method on the basis of engineering application, and the effects of BHA structural parameters and mechanical parameters of the system on lateral force and BHA motion morphology were discussed, but the results show that the bit motion is unstable.…”
Section: Introductionmentioning
confidence: 99%
“…Furthermore, variations in drilling parameters, as well as model parameters, significantly influence the trajectory of drillstring motions. Cheng et al employed shell elements while Cai et al utilized finite beam elements to establish drillstring dynamics models; they focused on analyzing how rotational speed, WOB, and friction coefficient affect whirling and motion trajectories [25,26]. Li et al, employing principles such as minimum energy principle along with Buckingham π theorem-based similarity criteria, constructed numerical models as well as laboratory test benches to investigate how rotational speed, WOB, and friction coefficient impact lateral vibrations [27].…”
Section: Introductionmentioning
confidence: 99%