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基于非结构化网格的边界积分方程方法的断层自发破裂模拟
引用本文:钱峰,吴葆宁,冯禧,张海明.基于非结构化网格的边界积分方程方法的断层自发破裂模拟[J].地球物理学报,2019,62(9):3421-3431.
作者姓名:钱峰  吴葆宁  冯禧  张海明
作者单位:1. 北京大学地球与空间科学学院地球物理系, 北京 100871;2. Department of Earth Sciences, University of California, Riverside, CA 92521, USA
基金项目:国家自然科学基金项目(41674050)资助.
摘    要:地震自发破裂模拟是震源动力学研究的重要内容,了解复杂的断层动力学破裂过程对深入认识震源特征和解释运动学反演结果具有重要意义.基于边界积分方程方法的破裂模拟已经被广泛使用,大多采用的是平面断层模型的结构化网格划分.由于实际的断层往往具有较为复杂的几何特征,为了更为灵活地刻画断层几何复杂性,我们建立断层模型的三角形网格离散方案,通过精确的解析解形式来计算断层各个单元之间的应力格林函数,联立滑动弱化摩擦准则和非奇异边界积分方程,对断层的自发破裂过程进行了模拟.在简单的平面断层模型下,将计算结果与前人的结果进行了对比,验证了方法的正确性与有效性.对于几种常见的复杂断层模型,例如弯折、阶跃、含障碍体断层等,我们模拟了其破裂过程并对计算结果进行了比较与分析.模拟结果表明,非结构化网格划分的边界积分方程方法能够很好地模拟平面矩形断层或由其组成的规则断层,同时也能成功地模拟具有复杂几何形状的不规则断层上的动力学破裂过程.本研究的结果显示了边界积分方程方法在模拟复杂断层系统的动力学破裂问题上具有较广阔的应用前景.

关 键 词:自发破裂  边界积分方程  非结构化网格  复杂断层  
收稿时间:2018-11-16

3D numerical simulation of dynamic ruptures on complex fault systems by BIEM with unstructured meshes
QIAN Feng,WU BaoNing,FENG Xi,ZHANG HaiMing.3D numerical simulation of dynamic ruptures on complex fault systems by BIEM with unstructured meshes[J].Chinese Journal of Geophysics,2019,62(9):3421-3431.
Authors:QIAN Feng  WU BaoNing  FENG Xi  ZHANG HaiMing
Institution:1. School of Earth and Space Sciences, Peking University, Beijing 100871, China;2. Department of Earth Sciences, University of California, Riverside, CA 92521, USA
Abstract:The spontaneous rupture simulation of earthquake is an important part of the study of seismic source dynamics. Understanding the complex fault dynamics process is of great significance for understanding the seismic source characteristics and interpreting the kinematics inversion results. Rupture simulation based on the boundary integral equation method has been widely used, and most of them use the structured mesh division of the planar fault model. Since the actual faults often have more complex geometric features, in order to more flexibly describe the geometric complexity of the fault, we establish a triangular mesh discrete scheme of the fault model, and calculate the stress Green's function between the faults through an accurate analytical solution. Simultaneous slip weakening friction law and the non-singular boundary integral equation, simulate the spontaneous rupture process of the fault. Under the simple plane fault model, the calculation results are compared with the previous results, and the correctness and effectiveness of the method are verified. For several common complex fault models, such as fold, step-over, and barrier faults, we simulated the rupture process, compared and analyzed the calculation results. The simulation results show that the boundary integral equation method with unstructured meshes can simulate plane rectangular faults or regular faults composed of them, and can also successfully simulate dynamic ruptures process on irregular faults with complex geometries. The results of this study show that the boundary integral equation method has a broad application prospect in simulating the dynamic rupture of complex fault systems.
Keywords:Spontaneous rupture  Boundary integral equation  Unstructured meshes  Complex fault  
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