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利用波函数的Fourier-Bessel级数展开法,推导了含任意多个圆弧状沉积层的凹陷地形在平面SV波入射下动力响应的解析解。通过与单一沉积凹陷条件下所得结果的比较,验证了该解析解计算结果的正确性。利用该解析解,研究了凹陷地形上覆沉积介质的成层性,包括沉积层的层数、排列顺序、以及软弱夹层的厚度和刚度等,对地面运动的影响效应。
Using the Fourier-Bessel series expansion method of wave function, the analytical solution of the dynamic response of a concave terrain with arbitrary arc-shaped sedimentary layers under the incident plane SV wave is deduced. Compared with the results obtained under a single deposition depression, the correctness of the analytical solution is verified. Using this analytical solution, the stratigraphic properties of overlying sedimentary media, including the number of sedimentary layers, the order of their arrangement and the thickness and stiffness of the soft interlayer, on the ground motion are studied.