走滑式断层地震的折迭突变模型  

Fold Catastrophe Model of Strike-Slip Fault Earthquake

作　　者：潘岳[1] 李爱武[2] 

机构地区：[1]青岛理工大学土木工程学院,山东青岛266520 [2]青岛理工大学理学院,山东青岛266520

出　　处：《应用数学和力学》2010年第3期324-336,共13页Applied Mathematics and Mechanics

基　　金：国家自然科学基金资助项目(50674059)

摘　　要：利用过势函数微分形式的途径,计入远场外力功的影响,对走滑式断层地震机制进行分析.研究表明:突变理论中折迭突变模型展示的性状,与走滑式断层地震的主要特征之间一一对应.折迭突变可对包括震前、震后围岩-断层系统稳定性描述在内的断层失稳起、终点位置、断层失稳错距等作出描述.给出3种性状可相互印证的断层失稳围岩弹性能释放量图解.走滑式断层地震强度与围岩压力及围岩断层的刚度比等有关,围岩压力大、刚度比小、主切应力轴与发震断层面夹角大,则地震强度大.By using differential form of potential energy function, and taking the effect of work applied by external force in far field into account, the mechanism of strike-slip fault earthquake was analyzed. The researching indicates that, in catastrophe theory the characters displayed by fold catastrophe model correspond to the primary characteristics of strike-slip fault earthquake one by one. Fold catastrophe can describe the position of starting point and end point of fault failure, distance of fault dislocation etc, including the description about the stability of sur- rounding rock-fault system before and after the earthquake. Two different illustrations about elastic energy releasing amount of the surrounding rock with fault failure were shown, their pri- mary characteristics can demonstrate each other. The intensity of strike-slip fault earthquake was related to the surrounding rock press, and to the stiffness ratio of surrounding rock and fault etc. The bigger the surrounding rock press was, the smaller stiffness ratio was. The bigger the included angle between the tangential stress axis to causative fault surface was, the bigger the earthquake intensity was.

关 键 词：断层地震 折迭突变模型 失稳终止点 失稳准则 能量输入率 弹性能释放量 

分 类 号：P315.3[天文地球—地震学]