[1]张雪,刘中宪,何颖.Rayleigh波入射下相邻山体地震响应边界元法模拟[J].世界地震工程,2018,34(04):008-15.
 ZHANG Xue,LIU Zhongxian,HE Ying.Simulation of seismic response of adjacent mountains for incident Rayleigh waves using the indirect boundary element method[J].,2018,34(04):008-15.
点击复制

Rayleigh波入射下相邻山体地震响应边界元法模拟
分享到:

《世界地震工程》[ISSN:/CN:]

卷:
34
期数:
2018年04期
页码:
008-15
栏目:
出版日期:
2019-01-30

文章信息/Info

Title:
Simulation of seismic response of adjacent mountains for incident Rayleigh waves using the indirect boundary element method
作者:
张雪1 刘中宪12 何颖1
1. 天津城建大学 天津市土木建筑结构防护与加固重点实验室, 天津 300384;
2. 天津市地震工程研究所, 天津 300384
Author(s):
ZHANG Xue1 LIU Zhongxian12 HE Ying1
1. Tianjin Key Laboratory of Civil Structure Protection and Reinforcing, Tianjin Chengjian University, Tianjin 300384, China;
2. Tianjin Institute of Earthquake Engineering, Tianjin 300384, China
关键词:
邻近山体间接边界元法场地效应瑞利波
Keywords:
adjacent mountainsidirect boundary element methodsite effectRayleigh waves
分类号:
P315.9
摘要:
采用间接边界元法(IBEM),对Rayleigh波入射下两邻近山体的地震响应进行了定量分析。结果表明:与单个山体在Rayleigh波入射下的地震响应相比,两山地形的地震反应规律更为复杂,反应特征受控于入射波频率和山体间距等因素。总体上看:入射Rayleigh波频率较低时,两山间距对双山地形地震反应影响较大。低频波入射,受邻近山体影响,迎波面山体水平位移峰值约为入射波水平位移的6.3倍,放大效应可达单山作用的1.5倍。且山体山脚处竖向位移的频谱振荡更为剧烈,特定频率下山脚的竖向位移反应可达单山放大效应的1.6倍。较高频波入射时,迎波面一侧山体受邻近山体影响较小,且对波表现出明显的屏障效应,背波面山体地震反应强度被削弱。
Abstract:
The indirect boundary element method (IBEM) is used to quantitatively analyze the seismic response between two adjacent mountains when the Rayleigh wave is incident. The results are as follows. The seismic response of two adjacent mountains is more complicated than that of a single mountain, and the response characteristics are mainly controlled by the frequency of incident Rayleigh waves and the spacing between the two mountains. Generally speaking, when the frequencies of incident Rayleigh waves are low, the distance between the two mountains has a great influence on the seismic response of mountain topography. When the low frequency waves are incident, due to the influence of adjacent mountain, the peak value of horizontal displacement of the mountain on the side of the incident waves is about 6.3 times of that of the incident waves, and the amplification factor can be up to 1.5 times of the single mountain at specific frequency. At the same time, the vertical displacement amplitude spectra at the mountain foot is strongly affected by the neighboring mountain, and the vertical displacement at the the mountain foot at some specific frequency can reach 1.6 times of that of the single mountain. When higher frequency waves are incident, the mountain on the side of the incident waves is less affected by the neighboring mountains, and has an obvious barrier effect on the waves, as a result, the seismic response of the mountain on the back side of the incident waves is weakened.

参考文献/References:

[1] 唐晖, 李小军, 李亚琦. 自贡西山公园山脊地形场地效应分析[J]. 振动与冲击, 2012,31:74-79. TANG Hui, LI Xiaojun, LI Yaqi. Site effect of topograghy on ground motions of Xishan Park of Zigong City[J]. Journal of Vibration and Shock, 2012,31:74-79. (in Chinese)
[2] 袁晓铭, 廖振鹏. 任意圆弧形凸起地形对平面SH波的散射[J]. 地震工程与工程振动, 1996,16(2):1-13. YUAN Xiaoming, LIAO Zhenpeng. Scattering of plane SH-wave by a cylindrical hill of circular-arccross-section[J]. Journal of Earthquake Engineering and Engineering Vibration 1996,16(2):1-13.(in Chinese)
[3] 梁建文, 张彦帅, LEE V W. 平面SV波入射下半圆凸起地形地表运动解析解[J]. 地震学报, 2006, 28:238-249. LIANG Jianwen, ZHANG Yanshuai, LEE V W. Surface motion of a semi-cylindrical hill for incident plane SV waves:analytical solution[J]. Acta Seismologica Sinica, 2006, 28:238-249. (in Chinese)
[4] BOORE D M. A note on the effect of simple topography on seismic SH waves[J]. Bull Seism Soc Am, 1972, 62:275-284.
[5] 刘晶波. 局部不规则地形对地震地面运动的影响[J]. 地震学报, 1996,18(2):239-245. LIU J B.1996. Impact on earthquake ground motion by local irregular terrain[J]. Acta Seismologica Sinica, 1996,18(2):239-245. (in Chinese)
[6] CHEN J T, LEE J W, SHYU W S. SH-ave scattering by a semi-elliptical hill using a null-field boundary integral equation method and a hybrid method[J]. Geophys J Int, 2012, 188:177-194.
[7] 梁建文, 巴振宁. 弹性层状半空间中凸起地形对入射平面SH波的放大作用[J]. 地震工程与工程振动, 2008, 28:1-10. LIANG Jianwen, BA Zhenning. Surface motion of a hill in layered half-space subjected to incident plane SH waves[J]. Journal of Earthquake Engineering and Engineering Vibration, 2008, 28:1-10.(in Chinese)
[8] SANCHEZ-Sesma F J, CAMPILLO M. Diffraction of P, SV, and Rayleigh waves by topographic features:A boundary integral formulation[J]. Bulletin of Seismological Society of America, 81(6):2234-2253, 1991.
[9] BARD P Y. Diffracted waves and displacement field over two dimensional elevated topographies[J]. Geophys J Rastr Soc, 1982, 71:731-760.
[10] 韩峰, 王光政, 陈翰. SH波对多个凸起与凹陷相连地形的散射问题研究[J]. 应用数学和力学,2013,34(4):355-363. HAN Feng, WANG Guangzheng, CHEN Han. Research on scattering of SH-Waves on multiple hills and canyons[J]. Applied Mathematics and Mechanics(English Edition), 2013,34(4):355-363. (in Chinese)
[11] 郝明辉, 张郁山. 相邻地形对地震动特性的影响分析[J]. 中国地震,2015,31(4):656-667. HAO Minghui, ZHANG Yushan. Analysis of the adjacent terrain effect on the properties of ground motion[J]. Earthquake Research in China, 2015,31(4):656-667. (in Chinese)
[12] 巴振宁, 梁建文. Rayleigh波斜入射下层状场地中凸起地形的三维响应分析[J]. 中国科学:技术科学,2015,45:874-888. BA Zhenning, LIANG Jianwen. Three dimensional responses of a hill in a layered half-space for obliquely incident Rayleigh waves[J]. Sci Sin Tech, 2015,45:874-888. (in Chinese)

备注/Memo

备注/Memo:
收稿日期:2017-12-30;改回日期:2018-8-10。
基金项目:国家自然科学基金项目(51678390)和天津市应用基础与前沿研究计划重点项目(15JCZDJC39900)共同资助
作者简介:张雪(1994-),硕士生,主要从事地震工程和工程振动的研究.E-mail:zxwzk0705@163.com
通讯作者:刘中宪(1982-),博士,教授,主要从事地震工程和工程振动的研究.E-mail:zhongxian1212@163.com
更新日期/Last Update: 1900-01-01