| 模拟震源动力学破裂过程的数值方法研究 |
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| 引用本文： | 余洋,梅世蓉,庄灿涛.模拟震源动力学破裂过程的数值方法研究[J].地球物理学报,1986,29(6):567-577. |
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| 作者姓名： | 余洋 梅世蓉 庄灿涛 |
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| 作者单位： | 国家地震局分析预报中心, 北京 |
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| 摘 要： | 为模拟震源的动力学破裂过程,本文讨论一种求解剪切裂纹动力学扩展问题的有限差分法。在研究二维反平面破裂的基础上,我们把所用方法推广到三维问题。研究了许多简单震源模型,通过对比同一问题的解析解和其它数值解,对方法的正确性和计算精度进行了检验,结果表明我们的数值方法是可行的。最后,作为初步应用的例子,我们研究了非均匀断层的自发破裂问题。
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| 关 键 词： | 震源动力学 破裂过程 数值方法 反平面剪切裂纹 破裂传播 人工边界 数值解 解析解 非均匀 破裂速度 |
| 收稿时间： | 1984-11-08 |
A STUDY OF NUMERICAL METHODS FOR SIMULATING DYNAMIC RUPTURE PROCESS OF EARTHQUAKE SOURCE |
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| YU YANG,MEI SHI-RONQ,ZHUANG CAN-TAO.A STUDY OF NUMERICAL METHODS FOR SIMULATING DYNAMIC RUPTURE PROCESS OF EARTHQUAKE SOURCE[J].Chinese Journal of Geophysics,1986,29(6):567-577. |
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| Authors: | YU YANG MEI SHI-RONQ ZHUANG CAN-TAO |
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| Institution: | Centre for Analysis and Prediction, SSB, Beijing |
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| Abstract: | We studied the propagation of a dynamic shear crack by a finite difference method in order to model the rupture process of earthquake source. Our numerical method is similar to that used by Miyatake （1980） in the solution of the dynamical three-dimen-sional shear crack extension. With more detailed studies of direct using of the mixed boundary conditions on the boundary, we ensured simultaneously calculation precision of both displacement and stress on the boundary. We chose an explicit difference scheme, and non-uniform difference grids to save much computer capacity, which is one of the difficulties with three-dimensional numerical solution. And we applied a new artifi-cal boundary processing method which fits to finite difference calculation so that we make the different meshes occupy as less space as possible. At first we solved the two-dimensional antiplane problems, then we extended our method to the three-dimensional problems. As a check of the accuracy of our method, we have studied many simple models. After comparing the solutions obtained by our method with those analytical and numerical ones by other methods, it proves that our method has relatively high precision and is adapted to processing of various complex boundary conditions and inhomo-geneities. |
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