MODELLING OF A DRILL STRING MOTION UNDER SEISMIC IMPACT


Khajiyeva L.A. Gaisin A.T. Sabirova R.F.
20 September 2024al-Farabi Kazakh State National University

KazNU Bulletin. Mathematics, Mechanics, Computer Science Series
2024#123Issue 3135 - 146 pp.

The paper studies the nonlinear dynamics of boreal waves in a seismically active medium. The effect of seismic waves on the vibrations of borehole rings for shallow drilling is examined. It is assumed that the Deformity of borehole beds is finite. A nonlinear linear mathematical model of borehole bed morphology was constructed on the basis of the Ostrovrode-Georgsky-Hamilton principle and the laws of ground motion. Borehole deflection is determined by cross-cutting displacements, longitudinal displacements and the angle of closure of their cross-cutting section. The numerical analysis of the model was carried out using the simulative calculations package Wolfram Mathematica. As a result of the research, the authors found both quantitative and quantitative changes in the boreal column dynamics. A comparative analysis with linear models was carried out. There are quantitative and quantitative changes in the dynamics of borehole columns, manifested in the form of beats caused by seismic waves. They can be caused by the seismic activity of the medium and by the nonlinearity of the borehole curve deformity.

drill string , dynamics , nonlinearity , seismic load , vibrations

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Department of Mathematical and Computer Modeling at the Mechanics and Mathematics Faculty of Al-Farabi Kazakh National University, Almaty, Kazakhstan

Department of Mathematical and Computer Modeling at the Mechanics and Mathematics Faculty of Al-Farabi Kazakh National University

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