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云南地区中小地震静力学和动力学参数定标关系
刘丽芳1),杨晶琼1),华卫2),苏有锦1),刘杰3)
Author NameAffiliation
Liu Lifang1) 1) Earthquake Administration of Yunnan Province, Kunming 650224, China 
Yang Jinqiong1) 1) Earthquake Administration of Yunnan Province, Kunming 650224, China 
Hua Wei2) 2) Institute of Earthquake Science, CEA, Beijing 100036, China 
Su Youjin1) 1) Earthquake Administration of Yunnan Province, Kunming 650224, China 
Liu Jie3) 3) China Earthquake Networks Center, Beijing 100045, China 
摘要:
通过对S波观测谱中的传播路径、场地响应、仪器响应等影响的消除,得到中小地震的震源谱。根据Brune震源模型,运用遗传算法计算了地震矩、应力降、震源半径等震源参数;通过考虑由于有限的仪器带宽带来的地震辐射能量低估及补偿问题,测定了中小地震辐射能量;分析了云南地区ML2.0~5.3地震静力学和动力学参数定标关系。结果表明:地震矩为2.1×1012~1.2×1016N?m,地震矩M0和震级ML的线性关系式为lgM0=1.01ML+10.59;震源破裂半径在86.9~1220.4m之间,地震矩M0与震源半径a之间的关系式为lgM0=0.003a+12.90;应力降结果介于0.03~57.55MPa之间,当M0<4×1014N?m时,应力降随地震矩的增大而增大,当M0>4×1014N?m时,应力降与地震矩之间无明显的依赖关系;地震矩M0与拐角频率fc明显有依赖关系,二者之间的关系式为lgfc=- lgM0+5.32;地震辐射能量ER在3.01×106~2.06×1012J之间,地震辐射能量ER与震级ML之间的关系为lgER=1.18ML+5.69。当M0<4×1014N?m时,折合能量有随地震矩增大而增大的趋势,当M0>4×1014N?m时,折合能量不随地震矩的增大而变化;地震视应力范围为0.02~31.4MPa之间,视应力与震源深度之间没有明显的依赖性。
关键词:  震源参数  定标关系  中小地震  遗传算法
DOI:
分类号:
基金项目:
Static and Dynamic Scaling Relationships for Moderate and Small Earthquakes in the Yunnan Region
Liu Lifang1),Yang Jinqiong1),Hua Wei2),Su Youjin1),Liu Jie3)
Abstract:
Source spectra for moderate and small earthquakes are obtained after removing the path effect, site effect, and instrument response, etc in the observed S-wave spectra. Based on the Brune source model and by means of genetic algorithm, the source parameters including seismic moment, stress drop, source dimension, etc. are determined, the radiated seismic energy for small-to-moderate earthquakes is measured with consideration of underestimation and compensation brought forth by limited bandwidth of the instrument, and the scaling relationships of static and dynamic parameters for earthquakes with ML2.0~5.3 in the Yunnan region are analyzed. The results show that the seismic moment is between 2.1×1012N?m and 1.2×1016N?m, and there is a linear relation of between the seismic moment and local magnitude. The source dimension varies from 86.9m to 1220.4m. The seismic moment and rupture radius remain a linear correlation of . The stress drop is in the range of 0.03 ~ 57.55MPa, and increases with seismic moment for M0<4×1014N?m, but it doesn’t vary with seismic moment for M0>4×1014N?m. The seismic moment shows dependency of corner frequency. Assuming a constant stress drop, we can obtain the relationship of between the seismic moment and corner frequency using least squares fitting. The theoretical radiated seismic energy is between 3.01×106J and 2.06×1012J. The linear relationship between the radiated seismic energy and local magnitude is . The scaled energy increases with seismic moment for M0<4×1014N?m, however it doesn’t seem to vary with seismic moment for M0>4×1014N?m. The apparent stress is in the range of 0.02~31.4 MPa, and also seems independent of seismic depth.
Key words:  Source parameter  Scaling relation  Moderate and small earthquakes  Genetic algorithm