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Moment Magnitude and Its Calculation 
Chen Yuntai, Liu Ruifeng

Institute of Geophysics, China Earthquake Administration, Beijing 100081, China


摘要: 
In this paper, we give a brief introduction to the proposal and development history of the earthquake magnitude concept. Moment magnitude M_{W} is the best physical quantity for measuring earthquakes. Compared with other magnitude scales used traditionally, moment magnitude is not saturated for all earthquakes, regardless of big and small earthquakes, deep and shallow earthquakes, far field and near field seismic data, geodetic and geological data, moment magnitude can be measured, and can be connected with wellknown magnitude scales such as surface wave magnitude M_{S}. Moment magnitude is a uniform magnitude scale, which is suitable for statistics with wide magnitude range. Moment magnitude is the preferred magnitude selected by the International Seismological community, and it is preferred by the departments responsible for publishing seismic information to the public.Moment magnitude is a uniform magnitude scale, which is suitable for statistics with wide magnitude range. Moment magnitude is a preferred magnitude for international seismology, it is preferred by the agency responsible for providing information about earthquakes to the public. We provide all formulas used in the calculation of moment magnitude, and the calculation steps in detail. We also analyzed some problems and rules to solve these problems by using different formulas and numerical value calculation steps. 
关键词: Earthquake magnitude Local magnitude M_{L} Surface wave magnitude M_{S} Body wave magnitude m_{b} Magnitude saturation Moment magnitude M_{W} Energy magnitude M_{e} 
DOI： 
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基金项目:This paper supported by the Monitoring Task of Department of Earthquake Monitoring and Prediction, China Earthquake Administration (2018) and Technical Support and Effect Analysis of New Magnitude National Standard Implementation. 

Moment Magnitude and Its Calculation 
Chen Yuntai, Liu Ruifeng

Institute of Geophysics, China Earthquake Administration, Beijing 100081, China

Abstract: 
In this paper, we give a brief introduction to the proposal and development history of the earthquake magnitude concept. Moment magnitude M_{W} is the best physical quantity for measuring earthquakes. Compared with other magnitude scales used traditionally, moment magnitude is not saturated for all earthquakes, regardless of big and small earthquakes, deep and shallow earthquakes, far field and near field seismic data, geodetic and geological data, moment magnitude can be measured, and can be connected with wellknown magnitude scales such as surface wave magnitude M_{S}. Moment magnitude is a uniform magnitude scale, which is suitable for statistics with wide magnitude range. Moment magnitude is the preferred magnitude selected by the International Seismological community, and it is preferred by the departments responsible for publishing seismic information to the public.Moment magnitude is a uniform magnitude scale, which is suitable for statistics with wide magnitude range. Moment magnitude is a preferred magnitude for international seismology, it is preferred by the agency responsible for providing information about earthquakes to the public. We provide all formulas used in the calculation of moment magnitude, and the calculation steps in detail. We also analyzed some problems and rules to solve these problems by using different formulas and numerical value calculation steps. 
Key words: Earthquake magnitude Local magnitude M_{L} Surface wave magnitude M_{S} Body wave magnitude m_{b} Magnitude saturation Moment magnitude M_{W} Energy magnitude M_{e} 



