This paper is based on the CT real-time testing of coal microscopic damage propagation, the constitutive model and evolvement function under uniaxial compression was carried out. The characteristics of bifurcation and chaos in the testing were obtained. According to the results of the CT real-time testing of coal and the defining of damage variable, the constitutive model and evolvement function of coal under uniaxial compression were put forward. On the basis of analysis of current outburst-proneness indexes, four indexes, which is elastic energy index WET, elastic deformation index , outburst energy index WCF and rigidity ration index KCF, are chosen, and modified outburst energy index is put forward to analyze quantitatively outburst-proneness of coal and rock. By means of the three dimensions FEM, the prevalent program software 3D-σ is used to analyze and account the stress in-situ of the working face.According to the practice instances in Baijiao coal mine, the process of rockburst is studied with catastrophe theory through the establishment of geology model and mechanics model of rockburst in Baijiao coalmine. The stress thresholds when rockburst took place, the distortion value and the expression of energy in rockburst were achieved.
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