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断层自发破裂动力过程的有限单元法模拟
引用本文:袁杰, 朱守彪. 断层自发破裂动力过程的有限单元法模拟[J]. 地球物理学报, 2014, 57(1): 138-156, doi: 10.6038/cjg20140113
作者姓名:袁杰  朱守彪
作者单位:1. 中国地震局地壳应力研究所(地壳动力学重点实验室), 北京 100085; 2. 中国科学院计算地球动力学重点实验室, 北京 100049
基金项目:中央级科研院所基本科研业务专项(ZDJ2013-21)、国家自然科学基金(40974020)、地震动力学国家重点实验室开放基金(LED2012B01)以及国土部行业专项(Sino-Prob-07-01)资助.
摘    要:断层自发破裂动力过程的研究对于认识地震过程及减轻地震灾害有着重要的科学意义.为合理地模拟断层的自发破裂过程,本文首先对经典的滑移弱化摩擦关系进行了改进,然后利用有限单元方法对破裂过程进行动态数值模拟.模拟结果表明,利用改进后的摩擦关系能够产生脉冲型(pulse-like)破裂模式,而经典的滑移弱化摩擦关系不能产生这种破裂形态.模拟结果还显示,断层自发破裂过程受初始应力场及摩擦关系影响,当初始应力场中剪应力水平较低时,容易产生脉冲型破裂;但当初始剪应力较高时,会产生裂纹型(crack-like)破裂.这个现象与在实验室里进行的岩石破裂实验结果是一致的.在相同的初始应力情况下,若滑移弱化摩擦本构关系中的动摩擦系数较大,断层将易于产生脉冲型破裂;若动摩擦系数较小,将倾向于产生裂纹型破裂.此外,本文也采用速率弱化摩擦关系对断层自发破裂过程进行了模拟,结果发现,在初始场及其他条件不变时,如果摩擦关系中的b-a值较小,容易产生脉冲型破裂;如果b-a值较大,会产生裂纹型破裂.

关 键 词:断层自发破裂   摩擦关系   脉冲型破裂   裂纹型破裂   有限单元
收稿时间:2013-05-27
修稿时间:2013-08-24

FEM simulation of the dynamic processes of fault spontaneous rupture
YUAN Jie, ZHU Shou-Biao. FEM simulation of the dynamic processes of fault spontaneous rupture[J]. Chinese Journal of Geophysics (in Chinese), 2014, 57(1): 138-156, doi: 10.6038/cjg20140113
Authors:YUAN Jie  ZHU Shou-Biao
Affiliation:1. Key Laboratory of Crustal Dynamics, Institute of Crustal Dynamics, China Earthquake Administration, Beijing 100085, China; 2. Key Laboratory of Computational Geodynamics, Chinese Academy of Science, Beijing 100049, China
Abstract:The study of the dynamic process of fault spontaneous rupture is important for understanding of earthquake processes and earthquake disaster reduction. In order to reasonably simulate the rupture processes, this paper first improved the classical slip-weakening friction law, and then used the finite element method to carry out simulation. The computed results demonstrate that pulse-like rupture is possible by making a modification of the classical slip-weakening friction law, while impossible with the classical slip-weakening friction law. It also shows that the behavior of the fault spontaneous rupture process is affected by the initial stress field of the region and the friction law. When the initial shear stress is low, it is easier to generate pulse-like rupture. But it is a crack-like rupture in the high level of initial shear stress. This is consistent with the laboratory result of small-scale rock rupture. With the same initial stress, fault tends to produce pulse-like rupture with large dynamic friction coefficient and crack-like rupture with small dynamic friction coefficient. In addition, this paper also simulated the spontaneous rupture process of faults with rate-weakening friction law. It turns out that the rupture is generally pulse-like for small value of b-a but crack-like for large value.
Keywords:Fault spontaneous rupture  Frictional law  Pulse-like rupture  Crack-like rupture  Finite element method
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