IBEM Results of Seismic Wave Scattering by Typical Local Topography in Layered Half-space: 2D Frequency Domain Displacement Amplitudes
-
摘要: 局部地形对地震动影响的本质是不规则体对地震波的散射，目前对此问题的研究仍主要依赖于各类数值方法。近年来，笔者提出了基于层状半空间中均布荷载动力格林函数的间接边界元方法（IBEM），从维度方面已涵盖二维、2.5维和三维，从介质方面已涵盖各向同性、横观各向同性的弹性和饱和介质，从地形方面包括凹陷、凸起和沉积。广泛验证表明，该方法不仅精度高，而且对复杂几何形状适应性强。为便于其他数值研究的对比验证，笔者将前期研究成果进行整理与补充，给出了各向同性弹性介质中二维凹陷、凸起和沉积对平面SH波、P波和SV波的散射结果。Abstract: The influence of local topography on seismic motion is primarily due to wave scattering caused by surface irregularities. Current research in this area largely relies on numerical methods. Recently, an Indirect Boundary Element Method (IBEM) based on the dynamic Green's function for uniformly distributed loads in a layered half-space has been developed to study typical topographical features such as canyons, hills, and alluvial basins. This method has been extended to 2D, 2.5D, and 3D configurations, as well as to various media, including isotropic elastic and saturated, and transversely isotropic elastic and saturated materials. Extensive validation has demonstrated that the IBEM offers high accuracy and strong adaptability to complex geometries. To facilitate comparison with other numerical methods, the authors intend to compile and expand upon their previous work in a series of papers. This paper presents the scattering results of plane SH waves, P waves, and SV waves by 2D canyons, hills, and alluvial basins in isotropic elastic media. Subsequent results will be published in future papers.
-
Key words:
- Layered half-space /
- 2D local topography /
- Plane wave /
- Scattering /
- IBEM
-
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 shapes embedded in a single layer overlaying on 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 shapes embedded in a single layer overlaying on 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 shapes embedded in a single layer overlaying on 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 amplitudes of canyons with different shapes 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 amplitudes of canyons with different shapes 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 amplitudes of canyons with different shapes 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 amplitudes of hills with different shapes 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 amplitudes of hills with different shapes 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 amplitudes of hills with different shapes 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 amplitudes of alluvial basins with different shapes 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 amplitudes of alluvial basins with different shapes for P waves
-
巴振宁,梁建文,2011a. 平面SV波在层状半空间中沉积谷地周围的散射. 地震工程与工程振动,31(3):18−26.Ba Z. N., Liang J. W., 2011a. Diffraction of plane SV waves around an alluvial valley in layered half-space. Journal of Earthquake Engineering and Engineering Vibration, 31(3): 18−26. (in Chinese) 巴振宁,梁建文,2011b. 层状半空间中沉积谷地对入射SV波的放大作用−−时域解答. 自然灾害学报,20(3):131−138.Ba Z. N., Liang J. W., 2011b. Wave scattering of a depositional valley in layered half-space for incident plane SV waves: time domain solution. Journal of Natural Disasters, 20(3): 131−138. (in Chinese) 巴振宁,黄棣旸,梁建文等,2017a. 层状半空间中周期分布凸起地形对平面SH波的散射. 地球物理学报,60(3):1039−1052.Ba Z. N., Huang D. Y., Liang J. W., et al., 2017a. Scattering and diffraction of plane SH-waves by periodically distributed hill topographies. Chinese Journal of Geophysics, 60(3): 1039−1052. (in Chinese) 巴振宁,印枭,梁建文,2017b. 沉积层序对谷地场地地震反应的影响-SH波入射. 土木工程学报,50(1):91−103.Ba Z. N., Yin X., Liang J. W., 2017b. Effects of sedimentary sequence on the seismic response of valley sites-incident SH waves. China Civil Engineering Journal, 50(1): 91−103. (in Chinese) 巴振宁,陈昊维,梁建文,2018a. 任意多个沉积谷地对平面SV波的散射. 振动与冲击,37(5):98−107.Ba Z. N., Chen H. W., Liang J. W., 2018a. Scattering of arbitrary alluvial valleys to incident plane SV waves. Journal of Vibration and Shock, 37(5): 98−107. (in Chinese) 巴振宁,彭琳,梁建文等,2018b. 任意多个凸起地形对平面P波的散射. 工程力学,35(7):7−17,23.Ba Z. N., Peng L., Liang J. W., et al., 2018b. Scatter and diffraction of arbitrary number of hills for incident plane P-waves. Engineering Mechanics, 35(7): 7−17,23. (in Chinese) 巴振宁,吴孟桃,梁建文等,2020. 高山-峡谷复合地形对入射平面P-SV波的散射. 应用数学和力学,41(7):695−712.Ba Z. N., Wu M. T., Liang J. W., et al., 2020. Scattering and diffraction by the hill-canyon composite topography for incident plane P- and SV-Waves. Applied Mathematics and Mechanics, 41(7): 695−712. (in Chinese) 梁建文,尤红兵,2005. 层状半空间中洞室对入射平面P波的放大作用. 地震工程与工程振动,25(2):16−24. doi: 10.3969/j.issn.1000-1301.2005.02.003Liang J. W., You H. B., 2005. Amplification of plane P waves by a cavity in a layered half-space. Earthquake Engineering and Engineering Vibration, 25(2): 16−24. (in Chinese) doi: 10.3969/j.issn.1000-1301.2005.02.003 梁建文,巴振宁,2007. 弹性层状半空间中沉积谷地对入射平面SH波的放大作用. 地震工程与工程振动,27(3):1−9. doi: 10.3969/j.issn.1000-1301.2007.03.001Liang J. W., Ba Z. N., 2007. Surface motion of an alluvial valley in layered half-space for incident plane SH waves. Journal of Earthquake Engineering and Engineering Vibration, 27(3): 1−9. (in Chinese) doi: 10.3969/j.issn.1000-1301.2007.03.001 梁建文,巴振宁,2008. 弹性层状半空间中凸起地形对入射平面SH波的放大作用. 地震工程与工程振动,28(1):1−10.Liang J. W., Ba Z. N., 2008. Surface motion of a hill in layered half-space subjected to incident plane SH waves. Journal of Earthquake Engineering and Engineering Vibration, 28(1): 1−10. (in Chinese) 齐文浩,陈龙伟,单振东等,2013. 芦山7.0级地震宏观场地效应. 地震工程与工程振动,33(4):29−34.Qi W. H., Chen L. W., Shan Z. D., et al., 2013. Summary of macro-level site effects in M S7.0 Lushan earthquake. Journal of Earthquake Engineering and Engineering Vibration, 33(4): 29−34. (in Chinese) 王海云,谢礼立,2010. 自贡市西山公园地形对地震动的影响. 地球物理学报,53(7):1631−1638. doi: 10.3969/j.issn.0001-5733.2010.07.014Wang H. Y., Xie L. L., 2010. Effects of topography on ground motion in the Xishan Park, Zigong City. Chinese Journal of Geophysics, 53(7): 1631−1638. (in Chinese) doi: 10.3969/j.issn.0001-5733.2010.07.014 尤红兵,梁建文,2006. 层状半空间中洞室对入射平面SV波的散射. 岩土力学,27(3):383−388. doi: 10.3969/j.issn.1000-7598.2006.03.009You H. B., Liang J. W., 2006. Scattering of plane SV waves by a cavity in a layered half-space. Rock and Soil Mechanics, 27(3): 383−388. (in Chinese) doi: 10.3969/j.issn.1000-7598.2006.03.009 尤红兵,赵凤新,李方杰,2008. 层状场地中任意形状沉积河谷对平面SH波的散射. 防灾减灾工程学报,28(3):313−318. doi: 10.3969/j.issn.1672-2132.2008.03.010You H. B., Zhao F. X., Li F. J., 2008. Scattering of SH waves by an alluvial valley of arbitrary shape in a layered half-space. Journal of Disaster Prevention and Mitigation Engineering, 28(3): 313−318. (in Chinese) doi: 10.3969/j.issn.1672-2132.2008.03.010 尤红兵,赵凤新,李方杰,2009. 层状场地中局部不均体对平面P波的散射. 岩土力学,30(10):3133−3138. doi: 10.3969/j.issn.1000-7598.2009.10.041You H. B., Zhao F. X., Li F. J., 2009. Scattering of P waves by a local nonhomogeneous body in a layered half-space. Rock and Soil Mechanics, 30(10): 3133−3138. (in Chinese) doi: 10.3969/j.issn.1000-7598.2009.10.041 张季,梁建文,巴振宁,2016. SH波入射时凸起场地的地形和土层放大效应. 地震工程与工程振动,36(2):56−67.Zhang J., Liang J. W., Ba Z. N., 2016. Topography and soil amplification for hill site when incident SH wave. Earthquake Engineering and Engineering Dynamics, 36(2): 56−67. (in Chinese) Anderson J. G., Bodin P., Brune J. N., et al., 1986. Strong ground motion from the Michoacan, Mexico, earthquake. Science, 233(4768): 1043−1049. doi: 10.1126/science.233.4768.1043 Ba Z. N., Liang J. W., 2011. Surface motion of alluvial valley in layered half-space for incident plane P-waves. Transactions of Tianjin University, 17(3): 157−165. doi: 10.1007/s12209-011-1627-z Ba Z. N., Yin X., 2016. Wave scattering of complex local site in a layered half-space by using a multidomain IBEM: incident plane SH waves. Geophysical Journal International, 205(3): 1382−1405. doi: 10.1093/gji/ggw090 Wolf J. P. , 1985. Dynamic soil-structure interaction. Englewood Cliffs: Prentice-Hall. -
下载:
点击查看大图
计量
- 文章访问数: 19
- HTML全文浏览量: 6
- PDF下载量: 0
- 被引次数: 0
