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 引用本文: 潘岳, 赵志刚. 逆冲断层地震主震的突变理论分析[J]. 应用数学和力学, 2012, 33(7): 796-811.
PAN Yue, ZHAO Zhi-gang. Analysis of Main Shock of Thrust Fault Earthquake by Catastrophe Theory[J]. Applied Mathematics and Mechanics, 2012, 33(7): 796-811. doi: 10.3879/j.issn.1000-0887.2012.07.002
 Citation: PAN Yue, ZHAO Zhi-gang. Analysis of Main Shock of Thrust Fault Earthquake by Catastrophe Theory[J]. Applied Mathematics and Mechanics, 2012, 33(7): 796-811.

## 逆冲断层地震主震的突变理论分析

##### doi: 10.3879/j.issn.1000-0887.2012.07.002

###### 通讯作者: 潘岳(1947─),男,江苏金坛人,教授(联系人.+86-532-86879624;E-mail:panyue@qtech.edu.cn).
• 中图分类号: P315.3

## Analysis of Main Shock of Thrust Fault Earthquake by Catastrophe Theory

• 摘要: 逆冲断层系统作准静态形变时的功、能量增量关系可以分解为关于体积应变能的功能增量关系和关于偏应力能的功能增量关系．采用突变理论方法对逆冲断层系统的偏应力功能量增量关系进行的分析表明：折迭突变模型展示的性状可对逆冲断层地震主震的发震条件、演化过程和若干震后特性作恰当描述．围岩的围压大，最大主应力大，逆冲潜断层面倾角小，围岩切向刚度与断层抗剪强度曲线软化段拐点处斜率的比值小， 则震时围岩弹性能释放量大、 震级高， 断层破裂半错距大， 围岩端面位移振幅也大．断层岩体破裂扩容和震时围岩体积应变能释放， 增强了前述效应．
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##### 出版历程
• 收稿日期:  2011-07-07
• 修回日期:  2012-03-29
• 刊出日期:  2012-07-15

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