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利用交替法原理及解析数学中的复变函数法,计算在卸压巷硐的作用下,巷道周边的环向应力与径向应力的解析表达式。并针对某实例,通过mathematica数值软件,描绘出了卸压前后,巷道周边环向应力与径向应力的卸压效果:径向压力在巷道边缘0.8 m内卸压效果不明显,但是对深部围岩的卸压效果很好。巷道周边的环向应力的卸压量很大,对高环向应力有很好的卸压作用。因此对于周边环向应力较大的巷道,选择开卸压巷硐卸压的方式能取得较好的效果。
Based on the principle of alternating method and the complex variable function method in analytical mathematics, the analytical expression of hoop stress and radial stress around the roadway under the action of pressure relief tunnel is calculated. For a certain example, through the mathematica numerical software, depressurization effect of hoop stress and radial stress around the roadway is plotted before and after the pressure relief: the radial pressure is not obvious in 0.8m at the edge of the roadway, Rock relief effect is very good. Ambient pressure around the roadway relief a large amount of pressure on the high stress has a good stress relief. Therefore, for the surrounding large circumferential stress of the roadway, choose to open pressure relief tunnel way to get better results.