谱元法模拟地裂缝场地地表地震波传播
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摘要
现有通用软件应用于复杂地形场地地震动模拟时,通常采用低阶显式有限元算法进行计算,不规则网格划分在低阶算法时会造成不必要的误差。谱单元方法成功实现了高阶显式算法,应用于这类问题分析时更具有优越性。本文主要选取有倾斜角度地裂缝场地为研究对象,基于显式谱元法,研究存在不同倾斜角度地裂缝场地垂直入射脉冲波时地表地震动传播规律。首先以90°竖向地裂缝场地为例,对比分析了显式有限元法与不同插值阶数N的谱元法模拟精度差别,进一步选取了场地中有45°及60°倾斜角的地裂缝的场地模型,采用高阶谱元法计算了地表不同输出点的地震动反应时程和传递函数幅值谱,并与均匀半空间自由场反应做了对比,用以说明不同倾斜角地裂缝对地震波传播和其附近地面运动的影响。
The ground motion simulation in complex geological configuration field is often based on the explicit finite element method in common software. Since the explicit finite element method only has low level precision,the necessary irregular grid for this kind of model often brings about a significant error. The Spectral element method realized the high order explicit algorithm and has more advantages when applied to the analysis of this kind of problem. In this paper,the fault sites which have inclination crack is chosen for analysis. Based on the explicit spectral element method,the ground motion with vertically incident pulse wave at the bottom of models is founded. Firstly,the vertical cracks of 90 Angle in fault site is used to comparative study. The simulation accuracy difference between the explicit finite element method( FEM) and the spectral element method of different interpolation order N are compared. Secondly,the site model with 45 and 60 Angle of cracks are selected,the high order spectral element method is used to calculate the seismic response time history and the amplitude spectrum of transfer function of different surface output point. Comparison with the homogeneous half space free field response is used to illustrate the influence to seismic wave propagation and ground motion of different inclined angle cracks.
The ground motion simulation in complex geological configuration field is often based on the explicit finite element method in common software. Since the explicit finite element method only has low level precision,the necessary irregular grid for this kind of model often brings about a significant error. The Spectral element method realized the high order explicit algorithm and has more advantages when applied to the analysis of this kind of problem. In this paper,the fault sites which have inclination crack is chosen for analysis. Based on the explicit spectral element method,the ground motion with vertically incident pulse wave at the bottom of models is founded. Firstly,the vertical cracks of 90 Angle in fault site is used to comparative study. The simulation accuracy difference between the explicit finite element method( FEM) and the spectral element method of different interpolation order N are compared. Secondly,the site model with 45 and 60 Angle of cracks are selected,the high order spectral element method is used to calculate the seismic response time history and the amplitude spectrum of transfer function of different surface output point. Comparison with the homogeneous half space free field response is used to illustrate the influence to seismic wave propagation and ground motion of different inclined angle cracks.
引文
[1]胡聿贤.地震工程学[M].地震出版社,2006.HU Yuxian.Earthquake engineering[M].Seismological Press,2006.(in Chinese)
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[4]杨笑梅,王海涛,杨柏坡.三维竖向断层场地对地面运动的影响[J].地震工程与工程振动,2008,28(2):1-7.YANG Xiaomei,WANG Haitao,YANG Baipo.The influence of three-dimensional fault sites on the ground motion[J].Earthquake Engineering and Engineering Dynamics,2008,28(2):1-7.(in Chinese)
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[6]石玉成,陈丙午.非发震断层的地震效应问题[J].西北地震学报,1994,16(1):12-20.SHI Yucheng,CHEN Bingwu.Effects of non-causative faults on earthquake damages[J].Northwestern Seismological Journal,1994,16(1):12-20.(in Chinese)
[7]Tromp J,Komattisch D,Liu Q.Spectral-element and adjoint methods in seismology[J].Communications in Computational Physics,2008,3(1):1-32.
[8]Chaljub E,Komatitsch D,Vilotte J,et al.Spectral-element analysis in seismology[J].Advances in Geophysics,2007,48:365-419.
[9]Komatitsch D,Tsuboi S,Tromp J.The spectral-element method in seismology[J].Geophysical Monograph Series,2005,157:205-227.
[2]周正华,张艳梅,孙平善,等.断层场地震害研究综述[J].地震工程与工程振动,2004,23(5):38-41.ZHOU Zhenghua,ZHANG Yanmei,SUN Qingshan,et,al.A summary of damage study on fault site[J].Earthquake Engineering and Engineering Dynamics,2004,23(5):38-41.(in Chinese)
[3]杨笑梅,王海涛,杨柏坡.竖向地裂缝附近的地面运动[J].地震工程与工程振动,2006,25(5):34-40.YANG Xiaomei,WANG Haitao,YANG Baipo.The ground motion near vertical cracks in fault sites[J].Earthquake Engineering and Engineering Dynamics,2006,25(5):34-40.(in Chinese)
[4]杨笑梅,王海涛,杨柏坡.三维竖向断层场地对地面运动的影响[J].地震工程与工程振动,2008,28(2):1-7.YANG Xiaomei,WANG Haitao,YANG Baipo.The influence of three-dimensional fault sites on the ground motion[J].Earthquake Engineering and Engineering Dynamics,2008,28(2):1-7.(in Chinese)
[5]李山有,马强,武东坡,等.断层场地地震反应特征研究[J].地震工程与工程振动,2004,23(5):32-37.LI Shanyou,MA Qiang,WU Dongpo,et,al.Study on characteristics of seismic responses of fault sites[J].Earthquake Engineering and Engineering Dynamics,2004,23(5):32-37.(in Chinese)
[6]石玉成,陈丙午.非发震断层的地震效应问题[J].西北地震学报,1994,16(1):12-20.SHI Yucheng,CHEN Bingwu.Effects of non-causative faults on earthquake damages[J].Northwestern Seismological Journal,1994,16(1):12-20.(in Chinese)
[7]Tromp J,Komattisch D,Liu Q.Spectral-element and adjoint methods in seismology[J].Communications in Computational Physics,2008,3(1):1-32.
[8]Chaljub E,Komatitsch D,Vilotte J,et al.Spectral-element analysis in seismology[J].Advances in Geophysics,2007,48:365-419.
[9]Komatitsch D,Tsuboi S,Tromp J.The spectral-element method in seismology[J].Geophysical Monograph Series,2005,157:205-227.
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