The purpose of this study is to theoretically probe how the joint effects of near-field source and surface topography impact the seismic wavefields. A simplified canyon model, which couples a semicircular model with a model for minor segments, is used to predict characteristic changes in ground motions due to line-source excitation. Based on a semi-analytical procedure using the region-matching technique, a Fourier–Bessel series solution is derived. Distinct coordinate systems are unified with the aid of Graf’s addition formula. Comparisons with boundary-element solutions verify the modelling framework proposed. Steady-state and transient simulations are both conducted.

中文翻译：

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平底半圆形峡谷对圆柱弹性波的反平面响应

本研究的目的是从理论上探讨近场震源和地表地形的共同作用对地震波场的影响。一个简化的峡谷模型，将一个半圆模型与一个小段模型相结合，用于预测由线源激励引起的地面运动的特征变化。基于使用区域匹配技术的半解析程序，推导出傅立叶-贝塞尔级数解。在 Graf 的加法公式的帮助下，不同的坐标系得以统一。与边界元解决方案的比较验证了所提出的建模框架。进行稳态和瞬态模拟。