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利用波函数展开法,分析了爆破地震波与邻近圆形衬砌洞室的相互作用过程,推导了爆破地震波作用下圆形衬砌洞室围岩和衬砌的应力及位移表达式。以混凝土衬砌厚分别为0.5m和0.1m为例,求出了爆破地震波作用下围岩和衬砌周围的应力及振速分布。结合应力和振速分布及衬砌的抗拉强度,得到了2种厚度衬砌的临界破坏振速。研究表明衬砌厚度的增加可有效减小围岩中的最大应力;混凝土衬砌越薄,其临界峰值振速越小。
By using the wave function expansion method, the interaction between blasting seismic waves and adjacent circular lining caverns is analyzed. The stress and displacement expressions of surrounding rock and lining of circular lining caverns are deduced under the action of blasting seismic waves. Taking the concrete lining thickness of 0.5m and 0.1m as an example, the distribution of stress and vibration velocity around the surrounding rock and lining under blasting seismic wave was obtained. Based on the distribution of stress and vibration velocity and the tensile strength of the lining, the critical failure velocities of the two linings are obtained. The research shows that the increase of lining thickness can effectively reduce the maximum stress in surrounding rock. The thinner the concrete lining, the smaller the critical peak vibration speed.