洞室岩爆的尖角型突变模型*
The Study of Chamber Rockburst by the CUSP Model of Catastrophe Theory
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摘要: 本文采用了突变理论中的尖角型突变模型,研究了圆形洞室岩爆发生的物理过程。不仅更加深刻认识了洞室岩爆的失稳本质,而且得到了在岩爆工程治理中有价值的临界洞室塑性区深度,还给出了岩爆发生后洞室周边的突跳收敛和所释放出来的能量,同时,探讨了各种岩石力学参数对岩爆发生的影响。Abstract: By means of CUSP model of catastrophe theory.this paper has studied thephysics process of rockburst occured on circular chamber.The present paper has nolonly described the instability process of rockburst more deeply.but also got the crilicaldepth of plastic softening area of chamber that is valuable in the controlling engineering of rockburst.the chamber displacement jump and energy liberation have been derived.the influence of rock parameters on the rockburst has been discussed.
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[1] 章梦涛,冲击地压失稳理论及数值模拟,岩石力学与工程学报,(3)(1987). [2] 潘一山、徐曾和、章梦涛,地下洞室岩爆发生的失稳模式及其判别准则,《第二届全国岩石动力学学术会议论文选集》,武汉测绘科技大学出版社(1990). [3] 潘一山、章梦涛,用突变理论研究冲击地压发生物理过程,阜新矿业学院学报,(1)(1992). -
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