IBEM Results of Seismic Wave Scattering by Typical Local Topography in Layered Half-space: 2.5D Frequency Domain Displacement Amplitudes
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摘要: 沿轴线方向无限长且截面形状不变的局部地形对地震波的散射，即二维地形的三维散射问题（也称2.5维问题），一直是地震工程领域关注的热点。近年来，笔者利用基于移动斜线荷载动力格林函数的间接边界元法（IBEM）对此问题展开研究，求解了不同地形的2.5维散射结果。为便于相关研究的对比验证，笔者将二维、2.5维和三维IBEM结果进行了整理与补充。本文为各向同性弹性介质层状半空间中凹陷、凸起和沉积地形对斜入射平面SH波、P波和SV波响应的2.5维频域结果，研究表明，入射波频率、角度和地形几何形状均会对地表位移产生影响。Abstract: The scattering of seismic waves by local topography with infinite extent and constant cross-sectional shape along one axis—commonly referred to as the 3D scattering problem of 2D topography, or the 2.5D problem—has long been a focal point in seismic engineering research. In recent years, the author has investigated this problem using the Indirect Boundary Element Method (IBEM), based on the Green's function for moving distributed loads, and has simulated 2.5D scattering responses for various topographic configurations. To support comparative analysis and facilitate validation across related studies, the author has compiled and extended the IBEM results for 2D, 2.5D, and 3D cases, forming a comprehensive dataset for publication. The 2D results have been presented in a previous study. This paper focuses on the 2.5D frequency-domain responses of canyons, hills, and alluvial basins subjected to obliquely incident plane SH, P, and SV waves in a layered half-space composed of isotropic elastic media. The findings demonstrate that the incident wave frequency, angle of incidence, and topographic geometry significantly influence surface displacement patterns.
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Key words:
- Layered half-space /
- Local topography /
- Plane wave /
- 2.5D Scattering /
- IBEM
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图 1 基岩上单一土层中不同形状的凹陷地形模型
Figure 1. Models of canyons with different shape embedded in a single layer overlaying on the bedrock
图 2 基岩上单一土层中不同形状的凸起地形模型
Figure 2. Models of hills with different shape embedded in a single layer overlaying on the bedrock
图 3 基岩上单一土层中不同形状的沉积地形模型
Figure 3. Models of alluvial basins with different shape embedded in a single layer overlaying on the bedrock
图 4 SH波入射时不同形状凹陷地形的地表位移幅值
Figure 4. The surface-displacement amplitude of canyons with different shape for SH waves
图 5 P波入射时不同形状凹陷地形的地表位移幅值
Figure 5. The surface-displacement amplitude of canyons with different shape for P waves
图 6 SV波入射时不同形状凹陷地形的地表位移幅值
Figure 6. The surface-displacement amplitude of canyons with different shape for SV waves
图 7 SH波入射时不同形状凸起地形的地表位移幅值
Figure 7. The surface-displacement amplitude of hills with different shape for SH waves
图 8 P波入射时不同形状凸起地形的地表位移幅值
Figure 8. The surface-displacement amplitude of hills with different shape for P waves
图 9 SV波入射时不同形状凸起地形的地表位移幅值
Figure 9. The surface-displacement amplitude of hills with different shape for SV waves
图 10 SH波入射时不同形状沉积地形的地表位移幅值
Figure 10. The surface-displacement amplitude of alluvial basins with different shape for SH waves
图 11 P波入射时不同形状沉积地形的地表位移幅值
Figure 11. The surface-displacement amplitude of alluvial basins with different shape for P waves
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