基于快速多极子间接边界元法的城市区域
沉积盆地三维地震响应宽频模拟

doi:10.16285/j.rsm.2018.1964

岩土力学 ›› 2019, Vol. 40 ›› Issue (10): 4101-4110.doi: 10.16285/j.rsm.2018.1964

基于快速多极子间接边界元法的城市区域沉积盆地三维地震响应宽频模拟

刘中宪¹，张征¹，王少杰^{1, 2}，梁建文³，王海良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. 河北建研科技有限公司，河北石家庄 050021；3. 天津大学土木工程系，天津 300072

收稿日期:2018-10-25 出版日期:2019-10-11 发布日期:2019-10-20
作者简介:刘中宪，男，1982年生，博士后，教授，主要从事地震工程、工程防护等方面的研究。
基金资助:
国家自然科学基金(No.51678390)；天津市自然基金重点项目(No.18JCZDJC39200)；天津市科技支撑计划重点项目(No.17YFZCSF01140)。

3D seismic response broadband-simulation of the alluvial basin in urban region based on the FMM-IBEM

LIU Zhong-xian¹, ZHANG Zheng¹, WANG Shao-jie^{1, 2}, LIANG Jian-wen³, WANG Hai-liang¹

1. Tianjin Key Laboratory of Civil Structure Protection and Reinforcement, Tianjin Chengjian University, Tianjin 300384, China; 2. Hebei Building Research Technical Co., Ltd., Shijiazhuang, Hebei 050021, China; 3. Department of Civil Engineering, Tianjin University, Tianjin 300072, China

Received:2018-10-25 Online:2019-10-11 Published:2019-10-20
Supported by:
This work was supported by the National Natural Science Foundation of China (51678390), the Key Program for Natural Foundation of Tianjin (18JCZDJC39200) and the Key Projects of Science and Technology Pillar Program of Tianjin (17YFZCSF01140).

摘要/Abstract

摘要： 针对城市区域沉积盆地三维地震动模拟问题，发挥边界元法处理无限域波动问题的独特优势和快速多极算法（FMM）处理大规模问题的特性，形成适用于宽频、高自由度模型的快速多极子间接边界元法（FMM-IBEM）。通过精度对比和效率验证发现，FMM-IBEM可精确高效地实现三维复杂场地地震动宽频模拟，同时大幅度降低存储量和计算量。采用该方法对某含起伏基岩面的三维复杂形状沉积盆地进行频域和时域分析，结果表明：入射频率、盆地形状和盆地内部的位置点对沉积盆地地表位移放大作用均有不同程度的影响；总体上低频域的放大作用高于高频域；频谱曲线呈现多个共振频段；沉积盆地中部和边缘处地表位移放大效应差别显著。重要工程选址宜避开沉积盆地中地震能量积聚区域。

关键词: 三维沉积盆地地震响应, FMM-IBEM, 地震波

Abstract: Aiming at the three-dimensional ground motion simulation of alluvial basins in urban areas, the unique advantages of boundary element method (BEM) in dealing with wave motion in infinite domain and the high efficiency and large capacity of fast multipole algorithm (FMM) are brought into play. A simulation method suitable for broadband multi-degree-of-freedom model, fast multipole indirect boundary element method (FMM-IBEM) is developed. Through precision comparison and efficiency verification, it is found that FMM-IBEM can accurately and efficiently realize broadband simulation of ground motions in three-dimensional complex sites, and greatly reduce the storage and calculation. Then, the method is used to analyze a three-dimensional alluvial basin with complex shape and undulating bedrock surface in frequency domain and time domain. The results show that: incidence frequency, basin shape and location of the basin have different effects on the magnification of surface displacement of alluvial basins, and generally, the amplification effect in low frequency domain is higher than that in high frequency domain. Spectrum curves show multiple resonance bands, and the magnification effect of surface displacement in the middle and margin of alluvial basin is significantly different. Site selection of important projects should avoid seismic energy accumulation areas in alluvial basins.

Key words: 3D alluvial basin seismic response, FMM-IBEM, seismic wave

中图分类号:

TU 435

刘中宪, 张征, 王少杰, 梁建文, 王海良, . 基于快速多极子间接边界元法的城市区域沉积盆地三维地震响应宽频模拟[J]. 岩土力学, 2019, 40(10): 4101-4110.

LIU Zhong-xian, ZHANG Zheng, WANG Shao-jie, LIANG Jian-wen, WANG Hai-liang, . 3D seismic response broadband-simulation of the alluvial basin in urban region based on the FMM-IBEM[J]. Rock and Soil Mechanics, 2019, 40(10): 4101-4110.

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基于快速多极子间接边界元法的城市区域沉积盆地三维地震响应宽频模拟

3D seismic response broadband-simulation of the alluvial basin in urban region based on the FMM-IBEM

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基于快速多极子间接边界元法的城市区域 沉积盆地三维地震响应宽频模拟

3D seismic response broadband-simulation of the alluvial basin in urban region based on the FMM-IBEM

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基于快速多极子间接边界元法的城市区域沉积盆地三维地震响应宽频模拟