Dynamic behavior of seal rock based upon vibration model of circular plate for initial rock breaking stage

Zhao Zhang; Bing Liu; Jianlin Liu

doi:10.1117/12.3000032

23 August 2023 Dynamic behavior of seal rock based upon vibration model of circular plate for initial rock breaking stage

Zhao Zhang, Bing Liu, Jianlin Liu

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Proceedings Volume 12784, Second International Conference on Applied Statistics, Computational Mathematics, and Software Engineering (ASCMSE 2023); 127841Y (2023) https://doi.org/10.1117/12.3000032
Event: 2023 2nd International Conference on Applied Statistics, Computational Mathematics and Software Engineering (ASCMSE 2023), 2023, Kaifeng, China

Abstract

The rocks with plate structure are widely distributed in layered formation, especially the seal rock acting as permeability barrier. Although effects of drill bit performance, lithology and crack propagation on rock stress state have been the study focus, the investigation of the dynamic behavior of rock with plate structure, especially its resonance effect on the rock failure is still limited. In this paper, at a scale large enough to ignore its internal microcracks and pores, the seal rock can be modeled as a homogeneous and elastic plate. On basis of natural frequency solution mutually verified by finite element method (FEM), semi-analytical and Rayleigh-Ritz method, the frequency response function (FRF) in terms of different stress strength criteria and motion quantities of circular plate are investigated, by numerical simulation and modal analysis. Our conclusions manifest that the maximum principal stress, normal deformation influenced by resonance effect reach greater level than that of non-resonant conditions, but not necessarily the maximum value of the whole frequency domain due to different excitation type and energy input. The effect of dynamic interaction between inherent characteristics and external excitation can be further appreciated, based upon the proposed vibration model, for initial rock breaking stage.

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Zhao Zhang, Bing Liu, and Jianlin Liu "Dynamic behavior of seal rock based upon vibration model of circular plate for initial rock breaking stage", Proc. SPIE 12784, Second International Conference on Applied Statistics, Computational Mathematics, and Software Engineering (ASCMSE 2023), 127841Y (23 August 2023); https://doi.org/10.1117/12.3000032

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KEYWORDS

Vibration

Finite element methods

Boundary conditions

Elasticity

Frequency response

Deformation

Differential equations

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