The Micro Vibration Equation of Rock and Its Analysis in Flat Indenter Basing on the Principle of Least Action

Guodong JI, Haige WANG, Li LIU, Siqi LI, Liudang SUN, Zihe CHEN

Abstract


Impact frequency of drill tools, vibration displacement of rock and other factors play a key role on the impact efficiency of vibration and rock breaking effect in the percussion drilling. In this paper, the micro vibration equation of rock in the impact of indenter was established based on the principle of least action. Then the relationship among vibration displacement of rock and quality and natural frequency of rock, impact force and impact frequency of indenter and time were analyzed. The results show that the curve of vibration displacement is kind of shape of cosine function, its size fluctuates up and down in the equilibrium position with the changes in various factors; The greater the impact of flat indenter is, The smaller the quality of rock is, the greater the vibration displacement of rock is; The closer the impact frequency of indenter and natural frequency of rock are, the greater the vibration amplitude of rock is, and it is significantly higher than the situation which the difference of impact frequency of indenter and natural frequency of rock is large.


Keywords


Micro vibration equation; Natural frequency; Impact frequency; Vibration displacement; Principle of least action

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References


Jiang, H. W., Liu, Y. S., Zhai, Y. H., & Pan, J. (2006). Research on rock-crushing mechanics model in rotary and percussive drilling. Oil Drilling Technology, 31(1), 10-16.

Kuang, Y. C., Ma, D. K., Liu, Q. Y., & Wu, Z. B. (2001). Computer simulation on dynamic action of drillstring-bit-rock system. Acta petrolei sinica, 22(3), 81-85.

Li, W., Yan, T., Li, S. Q., & Zhang, X. N. (2013). Rock fragmentation mechanisms and an experimental study of drilling tools during high-frequency harmonic vibration. Petroleum Science, (10), 205-211.

Li, X. B., Zuo, Y. J., & Ma, C. D. (2005). Failure criterion of strain energy density and catastrophe theory analysis of rock subjected to static-dynamic coupling loading. Rock and Soil Mechanics, 24(16), 2814-2823．

Li, Z. F., Zhang, Y. G., Hou, X. T., Liu, W. D., & Xu, G. Q. (2004). Analysis of longitudinal and torsion vibration of drillstring. Engineering Mechanics, 21(6), 203-209.

Liu, J. F., Xu, J., Li, Q. S., & Li, G. L. (2010). Experimental research on damping parameters of rock under cyclic loading. Chinese Journal of Rock Mechanics and Engineering, 29(5), 1036-1041.

Liu, Q. Y., Ma, D. K., & Zhong, Q. (2000). A drilling string torsional vibration model and solution. Acta Petrolei Sinica, 21(2), 78-82.

Lv, X. P., Li, G. X., Wang, Z. Y., Wang, S., & Han, Y. P. (2012). Experiment of torkbuster on Well YS1 in silurian formation. Oil Drilling & Production Technology, 3(42), 99-101.

Yan, T., Han, C. J., & Bi, X. L. (2006). The finite element analysison axial vibration of drill string in deviated wells. Petroleum Drilling Techniques, 34(4), 5-8.

Yin, P., Liu, Y. C., Gao, K., & Sun, Z. G. (2009). Study on dynamic simulation research of single drill pipe based on finite element method. Oil Drilling & Production Technology, 31(4), 12-20.

Zhou, X. L., Zhang, J. C., & Zhang, D. Q. (2012). Experimental application of TorkBuster torsional impactor in Yuanba region. Drilling & Production Technology, 35(2), 15-17.

Zhou, X. P., Ha, Q. L., … Zhang, Y. X. (2005). Analysis of localization of deformation and complete stress-strain relation for mesoscopic heterogenous brittle rock material when axial stress is held constant while lateral confinement is reduced. Rock and Soil Mechanics, 24(18), 3236-3245.




DOI: http://dx.doi.org/10.3968/10681

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