›› 2018, Vol. 39 ›› Issue (6): 1963-1972.doi: 10.16285/j.rsm.2016.2154

• Fundamental Theroy and Experimental Research • Previous Articles     Next Articles

Stability of goaf group system based on catastrophe theory and rheological theory

XIE Xue-bin1, DENG Rong-ning1, DONG Xian-jiu2, YAN Ze-zheng1   

  1. 1. School of Resources and Safety Engineering, Central South University, Changsha, Hunan 410083, China; 2. Zhongjin Lingnan Mining Company Limited in Guangxi, Wuxuan, Guangxi 545902, China
  • Received:2016-09-10 Online:2018-06-11 Published:2018-07-03
  • Supported by:

    This work was supported by the National Natural Science Foundation of China (51374246).

Abstract: A three-dimensional (3D) roof-pillars model was established to prevent disasters caused by the sudden release of high strain energy of goaf group system in the underground mine. The stability and mutational tendency of this model were analysed qualitatively and quantitatively based on the catastrophe theory and rheological mechanics theory. The mathematical criterion and mechanical conditions of the mutation and energy release at different moments were also derived. Moreover, an analytical algorithm for the stability of goaf group system was proposed, and its validity and practicability were verified. The effect of each factor on the stability of this system was further discussed on this basis. The results showed that, with the rheological process of pillars, the tendency of system mutation decreased. However, the integrity of roof was destroyed gradually, and its boundary condition successively the following three stages: the fixed end, simple support and free end. The critical value of the effective load bearing area ratio of pillars which maintained the system stability decreased at each stage, but jumped at the starting point of the stage of simple support and free end. In addition, the average reduction rates of at three stages decreased in turn. The system stability was dominated by the numerical relationship among the roof stiffness (D), overlying strata load , the effective load bearing area ratio of pillars and the size of goaf group. Therefore, the study results provide a new idea and method for the safe excavation of mine as well as the evaluation and control of goaf group system stability.

Key words: mutation theory, system stability, goaf group, mechanical model, rheological theory, rock mechanics

CLC Number: 

  • TD 324

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