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采用Fourier-Bessel波函数展开法,给出了半空间中地下夹塞物对平面SV波的散射解析解。借助大圆弧面近似模拟水平地表,由连续性边界条件和自由地表条件建立方程求解。通过参数分析,讨论了夹塞物本身及入射波特性对地表位移的影响规律。研究表明:夹塞物附近地表位移放大效应显著,地表位移对入射SV波频率和角度的变化比较敏感。当埋深较深时,夹塞物的散射效应可以忽略。
Using the Fourier-Bessel wave function expansion method, the analytic solution to the SV wave scattering in the plane of half-space is given. With the large arc surface simulating the horizontal surface, the equations are solved by the continuity boundary conditions and free surface conditions. Through parametric analysis, the influence of the plug itself and incident wave characteristics on the surface displacement is discussed. The results show that the effect of surface displacement magnification near the plug is significant, and the surface displacement is sensitive to the frequency and angle of the incident SV wave. When the depth is deeper, the scattering effect of the plug can be neglected.