地震动有限元模拟方法的精度验证
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摘要
假定破裂断层到地面覆盖层之间的地壳结构为均匀的各向同性介质,将移动位错源在全空间辐射的地震波作为覆盖层底部的入射波,采用有限元方法进行覆盖层地震响应分析,就能得到考虑断层破裂过程的地震动数值模拟结果。这种方法可以大大减小计算区域,从而提高计算效率。本文对基于位错源得到的均匀弹性全空间的解析解和有限元法的结果进行了比较,验证了该方法的计算精度。
If the medium between rupture fault and ground layer is assumed to be uniform and isotropic, and the full space radiation of the dislocation source is regarded as the ground layer seismic incident wave, the ground motion may be simulated, which considers the rupture process by seismic response of soil using finite element method. The calculation model area can be reduced by this method, and the calculation efficiency is improved. By comparing the analytic solutions based on the dislocation theory with the results from FEM, the calculation accuracy of this method is proved.
If the medium between rupture fault and ground layer is assumed to be uniform and isotropic, and the full space radiation of the dislocation source is regarded as the ground layer seismic incident wave, the ground motion may be simulated, which considers the rupture process by seismic response of soil using finite element method. The calculation model area can be reduced by this method, and the calculation efficiency is improved. By comparing the analytic solutions based on the dislocation theory with the results from FEM, the calculation accuracy of this method is proved.
引文
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[8]Ohminato T,Chouet B A.A free-surface boundary condition for including3D topography in the finite-difference method[J].Bull.Seism.Soc.Am.1997,87:494-515.
[9]Pitarka A,Irikura K,Iwata T,et al.Three-dimensional simulation of the near-fault ground motion for the1995Hyogoken Nanbu(Kobe),Ja-pan,earthquake[J].Bull.Seism.Soc.Am.1998,88:428-440.
[10]Wald D J,Graves R W.The seismic response of the Los Angeles Basin,California[J].Bull Seism.Soc.Am.1998,88:337-356.
[11]安艺敬一,P G.理查兹.定量地震学[M].北京:地震出版社,1987:11-70.
[12]刘启方,金星,丁海平.震源参数对复杂场地长周期地震动的影响[J].地球物理学报,2008,51(1):186-196.
[13]许力生,陈运泰.震源时间函数与震源破裂过程[J].地震地磁观测与研究,2002,23(6):1-8.
[14]Anderson J G,Richard P G.Comparison of strong ground motion fromseveral dislocation models[J].Geophys.J.R.Astr.Soc.,1975,42:347-373.
[15]廖振鹏.工程波动理论导引[M].2版.北京:科学出版社,2002:190-213.
[2]Frankel A,Vidale J.A three-dimensional simulation of seismic waves in the Santa Clara Valley,California,from a Loma Prieta aftershock[J].Bull.Seism.Soc.Am.1992,82:2045-2074.
[3]Frankel A.Three-dimensional simulations of ground motions in the San Bernardino Valley,California,for hypothetical earthquakes on the San Andreas Fault[J].Bull.Seism.Soc.Am.1993,83:1042-1063.
[4]Graves R W.Simulating seismic wave propagation in3D elastic media using staggered-grid finite-differences[J].Bull.Seism.Soc.Am.1996,86:1091-1107.
[5]Yomogida K,Etgen J T.3-D wave propagation in the Los Angeles Basin for the Whittier-Narrows earthquake[J].Bull Seism.Soc.Am.1993,83:1325-1344.
[6]Olsen K B,Archuleta R J,Matarese J R.Magnitude7.7earthquake on the San Andreas fault:three-dimensional ground motion in Los Angeles[J].Science,1995,270:1628-1632.
[7]Olsen K B,Archuleta R J.3-D simulation of earthquakes on the Los Angeles fault system[J].Bull.Seism.Soc.Am.1996,86:575-596.
[8]Ohminato T,Chouet B A.A free-surface boundary condition for including3D topography in the finite-difference method[J].Bull.Seism.Soc.Am.1997,87:494-515.
[9]Pitarka A,Irikura K,Iwata T,et al.Three-dimensional simulation of the near-fault ground motion for the1995Hyogoken Nanbu(Kobe),Ja-pan,earthquake[J].Bull.Seism.Soc.Am.1998,88:428-440.
[10]Wald D J,Graves R W.The seismic response of the Los Angeles Basin,California[J].Bull Seism.Soc.Am.1998,88:337-356.
[11]安艺敬一,P G.理查兹.定量地震学[M].北京:地震出版社,1987:11-70.
[12]刘启方,金星,丁海平.震源参数对复杂场地长周期地震动的影响[J].地球物理学报,2008,51(1):186-196.
[13]许力生,陈运泰.震源时间函数与震源破裂过程[J].地震地磁观测与研究,2002,23(6):1-8.
[14]Anderson J G,Richard P G.Comparison of strong ground motion fromseveral dislocation models[J].Geophys.J.R.Astr.Soc.,1975,42:347-373.
[15]廖振鹏.工程波动理论导引[M].2版.北京:科学出版社,2002:190-213.
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