Catastrophe analysis of open-pit slope stability under blasting load

ZHOU Zi-han1 CHEN Zhong-hui1 WANG Jian-ming1 ZHANG Ling-fan1 NIAN Geng-qian1

(1.School of Mechanics and Civil Engineering, China University of Mining and Technology, Beijing 100083)

【Abstract】Cusp catastrophe theory models of the rock slope instability under open blasting load were built based on the two-dimensional mechanical instability model considering the factors of blasting dynamic load. According to the established model, the influences of the amplitude and frequency of blasting dynamic load on the slope stability were discussed, and the dynamic critical instability height of the slope was derived. The criterion of the slope instability was also proposed. The result reveals that the possibility of slope instability mounts up with the increase in the amplitude of the dynamic load, the decrease in frequency, and the growth of trailing-edge crack depth; the stability of slope is dynamic, and the possibility of slope failure is increasing under blasting load with the increase in the incident angle of stress wave. With two slopes in Dagushan open-pit mine as examples, the dynamic safety coefficient and the dynamic self-stability critical height of the slope are calculated, and the rationality of the proposed slope instability criterion is verified by the actual stability of the slope at present. It provides a certain theoretical support for preventing the dynamic instability of slope rock mass in the process of blasting excavation in open-pit mines.

【Keywords】 blasting load; rock slope; cusp catastrophe theory; dynamic self-stability critical height; dynamic instability;


【Funds】 National Key R&D Program of China (2016YFC0801602, 2017YFC1503103)

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(Translated by ZHANG XY)


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This Article



Vol 41, No. 03, Pages 849-857+868

March 2020


Article Outline


  • 1 Introduction
  • 2 Analysis of catastrophe model
  • 3 Analysis of dynamic self-stability critical height and instability criterion of slope
  • 4 Case analysis
  • 5 Conclusions
  • References