Dynamic response of an alluvial valley consisting of three different types of soil was studied. In the two-dimensional model, the alluvial valley was assumed to have half-cylindrical shape. The alluvial valley contained three different types of soil with different shapes. The valley was surrounded by a half-space. All of the soil types and the half-space were assumed to be isotropic, homogeneous and linear elastic. The half-space was excited by simple harmonic SH-waves radiated from a strike-slip fault. The fault was assumed to have circular-arc shape in the mathematical model. The governing equations were solved by using wave function expansion method where boundary conditions were relatively simple. In the regions where boundary conditions were more complex, finite difference method was employed. Consequently, the wave propagation problem was solved semi-analytically. The obtained numerical results showed that surface displacement amplitudes are significantly affected by the material properties of the different soil types of the alluvial valley. It was also observed that the shapes of the soil types in the alluvial valley played a considerable role in surface displacements.

中文翻译：

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冲积谷的动力响应包括三种类型的土壤

研究了由三种不同类型的土壤组成的冲积谷的动力响应。在二维模型中，冲积谷被假定为半圆柱形。冲积山谷包含三种不同类型的土壤，形状各异。山谷被半个空间包围。假定所有土壤类型和半空间均为各向同性，均质和线性弹性。从走滑断层辐射出的简单谐波SH波激发了半空间。在数学模型中假定断层为圆弧形。在边界条件相对简单的情况下，采用波动函数展开法求解了控制方程。在边界条件较为复杂的区域，采用有限差分法。所以，半解析地解决了波传播问题。数值结果表明，冲积河谷不同土壤类型的物质性质显着影响地表位移幅度。还观察到，冲积山谷中土壤类型的形状在地表位移中起着重要作用。