采用一种高精度的间接边界积分方程法,给出了弹性半空间中衬砌洞室对入射平面P波和SV波散射的数值结果;同时通过参数分析,探索了入射波特性和衬砌特性对平面波散射的影响规律。计算结果表明:衬砌洞室附近波的散射与无衬砌情况相比差异显著;动力反应特征主要依赖于波入射角、入射波无量纲频率、衬砌内外材料刚度比等参数;P波和SV波入射下洞室附近地面运动的放大效应均十分明显;低频波入射下,刚性衬砌表面的动应力集中现象最为显著。
Based on an indirect boundary integration equation method (IBIEM) of high precision, the numerical results of scattering of plane P and SV waves by a two - dimensional lined tunnel in elastic half - space were presented in this paper. Through parametric analysis, the effect of the incident waves and the lining on the scattering was discussed. It is shown that there is great difference between the wave scattering around the lined and unlined tunnel. The dynamic response mainly depends on the incident angle, incident frequency and the material properties of the lining and the half space, and so on. There is significant amplification effect on the surface displacement am- plitude near the tunnel for incident plane P and SV waves. Dynamic stress concentration is also obviously observed on the rigid lining surface for incidence wave with lower frequencies.