Numerical simulation of coseismic and postseismic deformation through a node-splitting algorithm: A case study of the Wenchuan earthquake
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摘要:
大地震导致的同震及震后效应,对于分析不同地震之间的相互影响及区域地震危险性等有着重要的作用。文中开发了模拟地震同震及震后效应的三维黏弹性有限元程序,通过计算走滑断层震例(概念性模型)引起的同震及震后效应,并与解析/半解析解进行对比,验证了程序的可靠性。同时基于概念性模型,分析了不同介质参数对同震及震后的地表变形的影响。研究表明,地球介质的横向不均匀性对地震同震位移有显著的影响,而中下地壳上地幔的黏度对震后效应起着主要控制作用。最后将该程序应用于青藏高原东缘,计算分析了2008年MW7.9汶川大地震导致的同震及震后库仑应力变化对2013年MW6.6芦山地震及2017年MW6.5九寨沟地震的影响。结果显示,汶川地震导致的库仑应力变化在芦山地震震源附近(0.013 MPa)及九寨沟地震震源附近(0.009 MPa)都为正值,说明汶川地震可能使得两次地震提前发生。
Abstract:The coseismic and postseismic effects are crucial elements in analyzing fault interactions and the regional seismic risk. In this paper, we developed a three-dimensional viscoelastic finite element code to simulate the coseismic and postseismic deformation. We calculated the coseismic and postseismic deformations caused by the strike-slip fault with a conceptual model, and compared the results with the analytic and semi-analytic solutions so as to verify the reliability of the code. Meanwhile, we also analyzed the influence of different parameters on the coseismic and postseismic deformation, uncovering a significant effect of the earth's lateral heterogeneity on the coseismic displacement. And the viscosity of the middle-lower crust and upper mantle plays a major role in controlling the postseismic displacement. At last, we used the three-dimensional viscoelastic model to calculate the changes of the coseismic and postseismic Coulomb stress caused by the 2008 MW7.9 Wenchuan earthquake, and analyzed the subsequent effect on the 2013 MW6.6 Lushan earthquake and the 2017 MW6.5 Jiuzhaigou earthquake. The calculation results show that the Coulomb stress changes caused by the Wenchuan earthquake is positive near the hypocenters of the Lushan earthquake (0.013 MPa) and the Jiuzhaigou earthquake (0.009 MPa), indicating the Wenchuan earthquake might have triggered both the Lushan earthquake and Jiuzhaigou earthquake.
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图 4 地震同震及震后在剖面AA′上沿着断层走向(y方向)的位移分布图(剖面AA′的位置见图 2)
Figure 4.
表 1 单断层有限元模型的部分材料参数
Table 1. Material parameters of the finite element model with single fault
杨氏模量/Pa 黏度/(Pa·s) 断层左侧上地壳 断层右侧上地壳 中下地壳上地幔 算例1 8.75×1010 8.75×1010 1×1020 算例2 1.75×1011 8.75×1010 1×1020 算例3 4.375×1010 8.75×1010 1×1020 算例4 8.75×1010 8.75×1010 1×1018 算例5 8.75×1010 8.75×1010 1×1019 算例6 8.75×1010 8.75×1010 1×1021 表 2 青藏高原东缘有限元模型的参数设置
Table 2. Material parameters set for the finite element model of the eastern margin of the Tibetan Plateau
华南块体 其他块体 深度/km E/Pa υ η/(Pa·s) 深度/km E/Pa υ η/(Pa·s) 上地壳 0~20 8.5×1010 0.25 - 0~20 8.1×1010 0.25 - 中地壳 20~30 1.2×1011 0.26 1×1022 20~35 1.1×1011 0.25 1×1019 下地壳 30~40 1.5×1011 0.25 1×1022 35~50 1.5×1011 0.25 1×1019 上地幔 40~100 1.6×1011 0.28 1×1022 50~100 1.5×1011 0.30 1×1020 其他块体包括青藏高原东北缘、川滇块体和巴颜喀拉块体;上地壳的平均密度设置为2800 kg/m3,中下地壳上地幔的平均密度设置为3200 kg/m3 -
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