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基于波场分离的不规则地形下地震波输入方法

张佳文 李明超 韩帅 闫文钰

张佳文, 李明超, 韩帅, 闫文钰. 基于波场分离的不规则地形下地震波输入方法[J]. 工程力学, 2023, 40(11): 69-80, 109. doi: 10.6052/j.issn.1000-4750.2022.02.0138
引用本文: 张佳文, 李明超, 韩帅, 闫文钰. 基于波场分离的不规则地形下地震波输入方法[J]. 工程力学, 2023, 40(11): 69-80, 109. doi: 10.6052/j.issn.1000-4750.2022.02.0138
ZHANG Jia-wen, LI Ming-chao, HAN Shuai, YAN Wen-yu. INPUT METHOD OF SEISMIC WAVE IN IRREGULAR TERRAIN BASED ON WAVE FIELD SEPARATION[J]. Engineering Mechanics, 2023, 40(11): 69-80, 109. doi: 10.6052/j.issn.1000-4750.2022.02.0138
Citation: ZHANG Jia-wen, LI Ming-chao, HAN Shuai, YAN Wen-yu. INPUT METHOD OF SEISMIC WAVE IN IRREGULAR TERRAIN BASED ON WAVE FIELD SEPARATION[J]. Engineering Mechanics, 2023, 40(11): 69-80, 109. doi: 10.6052/j.issn.1000-4750.2022.02.0138

基于波场分离的不规则地形下地震波输入方法

doi: 10.6052/j.issn.1000-4750.2022.02.0138
基金项目: 国家自然科学面上基金项目(51879185);天津市研究生科研创新项目(2021YJSB138)
详细信息
    作者简介:

    张佳文(1995−),女,安徽人,硕士生,主要从事水工抗震方向的研究 (E-mail: 2018205341@tju.edu.cn)

    韩 帅(1992−),男,河北人,博士生,主要从事水利工程数据挖掘与分析研究(E-mail: hs2015205039@tju.edu.cn)

    闫文钰(1998−),女,山西人,硕士生,主要从事水利工程数值仿真分析研究(E-mail: 987765184@qq.com)

    通讯作者:

    李明超(1979−),男,湖北人,教授,博士,博导,主要从事水利工程仿真与优化分析研究(E-mail: LMC@tju.edu.cn)

  • 中图分类号: P315.9;TV312

INPUT METHOD OF SEISMIC WAVE IN IRREGULAR TERRAIN BASED ON WAVE FIELD SEPARATION

  • 摘要: 不规则地形条件下斜入射地震波场求解难度较大,以往的方法在计算精度和适用范围方面仍有不足。该文结合解析推导和有限元模拟,提出了一种基于波场分离技术的不规则地形条件下地震波输入方法,将地震P波和SV波在不同边界下进行波场分离:垂直入射时在侧面边界上分离为自由波场和散射波场,底部边界上分离为入射波场和边界外行场;斜入射时将输入侧对面的边界改为分离成入射波场和边界外行场;并充分考虑局部地形条件的影响,还基于改进的波动方法以便捷地输入节点力。同时对比了多组不同地震入射角度下规则场地和不规则场地的振动反应。结果表明:该方法在多类地形条件下计算精度与效率均较高,适用范围广且易于推广至复杂场地条件,并发现地震波入射角度和局部场地条件对地表位移响应影响较大。该研究可为不规则地形条件下的振动响应分析提供有效的手段。
  • 图  1  不规则地形下各边界地震波场输入

    Figure  1.  Input of seismic wave field at each boundary under irregular terrain

    图  2  斜入射P波作用下的地震波场

    Figure  2.  Seismic wave field under obliquely incident P waves

    图  3  斜入射地震波传播规律

    Figure  3.  Propagation law of obliquely incident seismic waves

    图  4  离散化后的弹性半空间模型

    Figure  4.  Discrete model of elastic half-space

    图  5  基于人工边界子结构的波动输入方法

    Figure  5.  Wave input method based on substructure of artificial boundaries

    图  6  不规则地形场地的有限元模型 /m

    Figure  6.  Finite element model of irregular terrain site

    图  7  远置边界法中的有限元模型 /m

    Figure  7.  Finite element model in remote boundary method

    图  8  入射脉冲波的位移时程和傅里叶谱

    Figure  8.  Displacement and Fourier spectrum of the incident seismic wave

    图  9  P波入射下自由表面点位移

    Figure  9.  Displacement of free surface under incident P waves

    图  10  SV波入射下自由表面点位移

    Figure  10.  Displacement of free surface under incident SV waves

    图  11  场地关键点的位移输入情况

    Figure  11.  Input displacement of key points in the site

    图  12  P波垂直入射时的波场快照

    Figure  12.  Wave field snapshot of site under vertical incident P waves

    图  13  P波入射角度30°时的波场快照

    Figure  13.  Wave field snapshot of site under P waves with the incident angle of 30°

    图  14  规则地形场地的有限元模型 /m

    Figure  14.  Finite element model of regular terrain site

    图  15  地震波入射下规则场地自由表面点位移

    Figure  15.  Displacement of free surface of regular site under seismic waves

    图  16  地震波入射下阶梯型场地自由表面点位移

    Figure  16.  Displacement of free surface of stepped site under seismic waves

    图  17  P波不同入射角度下阶梯型场地A1点位移

    Figure  17.  Displacement of A1 on the stepped site under P waves with different incident angles

    图  18  SV波不同入射角度下阶梯型场地A1点位移

    Figure  18.  Displacement of A1 on the stepped site under SV waves with different incident angles

    表  1  场地模型参数

    Table  1.   Model parameters of the site

    场地模型密度/
    (kg·m−3)
    泊松比弹性模量/
    GPa
    SV波波速/
    (m·s−1)
    P波波速/
    (m·s−1)
    阶梯型场地20000.250.2000200346
    V字河谷型场地15000.250.3375300520
    梯形河谷型场地15000.250.3375300520
    下载: 导出CSV

    表  2  两种方法的结果对比

    Table  2.   Comparison of the two methods

    入射
    角度/(°)
    远置边界方法本文方法
    模型网
    格数
    计算时长/
    min
    结果文件
    大小/GB
    模型网
    格数
    计算时长/
    min
    结果文件
    大小/GB
    θP=043 550292.8445504.20.38
    θP=3089 700565.7237004.50.32
    θSV=043 550282.8445504.10.38
    θSV=1590 000565.7445004.60.37
    下载: 导出CSV

    表  3  P波入射时不同地形条件下自由表面A1点位移

    Table  3.   Displacement of A1 under different terrain conditions when P waves incident

    入射
    角度/(°)
    横向位移幅值竖向位移幅值
    规则地形/m阶梯型/m相差/(%)规则地形/m阶梯型/m相差/(%)
    00.000.17−100.002.002.07−3.35
    150.590.84−29.501.922.50−23.34
    301.121.28−12.391.691.96−13.86
    451.522.26−32.671.361.360.14
    601.732.48−30.251.000.8518.05
    751.602.25−28.820.650.5225.71
    900.730.97−24.900.520.2789.50
    下载: 导出CSV

    表  4  SV波入射时不同地形条件下自由表面A1点位移

    Table  4.   Displacement of A1 under different terrain conditions when SV waves incident

    入射
    角度/(°)
    横向位移幅值竖向位移幅值
    规则地形/m阶梯型/m相差/(%)规则地形/m阶梯型/m相差/(%)
    02.001.980.860.00−0.12−99.98
    51.991.961.46−0.16−0.157.55
    101.951.902.75−0.31−0.2051.98
    151.891.814.59−0.45−0.2670.47
    201.811.772.36−0.58−0.4046.42
    251.711.700.37−0.70−0.5135.32
    301.591.72−7.10−0.79−0.6816.66
    下载: 导出CSV
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出版历程
  • 收稿日期:  2022-02-09
  • 修回日期:  2022-05-15
  • 网络出版日期:  2022-05-20
  • 刊出日期:  2023-11-25

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