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Title:: Critical Conditions for Earthquake Occurrence in a Single Fractured Continuous Medium

作者:: 刘培玄¹; 2; 李小军¹; 刘艳琼³; (1.北京工业大学建筑工程学院,北京 100124; 2.中国地震局发展研究中心,北京 100036; 3.中国地震台网中心,北京 100045)

Author(s):: LIU Peixuan¹; 2; LI Xiaojun¹; LIU Yanqiong³; (1.College of Architectural and Civil Engineering,Beijing University of technology,Beijing 100124,China)(2.Development Research Center of China Earthquake Administration,Beijing 100036,China)(3.China earthquake Networks Center,Beijing 100045,China)

Keywords:: earthquake process; critical condition of instability; surface free energy; energy release rate

摘要:: 基于能量平衡原理,把地震触发过程转换为数学、力学中系统发生局部失稳的问题,并理论推导给出了分析域内裂纹失稳临界条件; 基于线性断裂力学理论,给出了一些历史地震发震断层的表面自由能; 应用势能原理和GPS台网观测数据,提出了一个确定断裂能量释放率的计算方法; 进而给出了在断裂能量释放率与表面自由能基础上判定断裂发生地震可能性的一种方法。

Abstract:: Based on the principle of energy balance,the earthquake triggering process is transformed into the local instability problem of the system in mathematics and mechanics,and the critical condition of crack instability in the analysis domain is given by theoretical derivation.Based on the theory of linear fracture mechanics,the surface free energy of some historical earthquake-induced faults is given.Based on the principle of potential energy and the observation data of GPS network,a calculation method for determining the release rate of fracture energy is proposed.Furthermore,a method for determining the probability of earthquake occurrence of fracture based on the energy release rate of fracture and the surface free energy is developed.