INTRODUCTION

Earthquake magnitude is the representation of earthquake intensity，which is one of the basic parameters describing an earthquake and one of the important parameters in earthquake prediction research （Chen Yuntai et al.， 2000， 2004）.Measuring an earthquake with the magnitude has the advantages of being simple and practical，but the biggest drawback to this is the magnitude saturation effect.The moment magnitude is a mechanical quantity that describes the absolute size of an earthquake，so it is the most ideal physical quantity to measure the magnitude of the earthquake， and there is no saturation problem （Gao Jingchun et al.， 2011； Yang Jingqiong，2013）.In 1977， Kanamori defined the moment magnitude MW， and put forward the relationships between the seismic moment， the moment magnitude and the seismic wave energy （Kanamori H.， 1977）.In 1981， Dziewonski et al. （1981） completed the moment tensor inversion of centroid moment tensor solution （Dziewonski et al.， 1981， Sipkin， 1982）， and achieved the rapid release of moment magnitude MW.The United Stated Geological Survey，in its 2001“USGS”， specifically requests that the moment magnitude shall be the preferred magnitude released to the government agencies and the public.MWis able to connect with conventional surface wave magnitudes within a certain magnitude （Chen Yuntai et al.， 2004）.In the latest“Earthquake Magnitude Regulation”（GB17740-2017）， the moment magnitude MWis the preferred magnitude to be released.After the Wenchuan earthquake in 2008，the earthquake emergency work has imposed higher demands on the output of seismic network.After several years of development，it has become possible to incorporate the focal mechanism solution and moment magnitude into the traditional earthquake catalog （Kang Ying et al.， 2015）， and has laid a solid foundation for the daily output of moment magnitude.

在过去的4年里，仅仅阿里巴巴集团旗下的天猫国际就引进了75个国家3900个品类近1.9万个海外品牌进入中国市场，其中超过80%的品牌首次入华。而这一次，阿里巴巴集团再一次发出2000亿美元（约合人民币13388亿元）全球进口品牌的“邀请函”。未来5年，阿里巴巴集团将旗下包括天猫、天猫国际、盒马、云象等多个业务板块全开，向全球120多个国家和地区的品牌敞开进驻中国的一扇大门。

The seismic structure is complex in the central and western regions of Inner Mongolia（104°-115°E，36°-42°N）， the difference of regional characteristics is very obvious， and moderately strong earthquakes occur frequently（Cao Gang，2001）.Since 1970， there have been a series of moderately strong earthquakes （Sun Jialin et al.， 1998）， such as the MS6.3 earthquake in Horinger in 1976， the MS6.2 earthquake in Bayinmuren， and the MS6.0 earthquake in Wuyuan in 1979.So far，research on the moment magnitude of small and mediumsized earthquakes has not been carried out in Inner Mongolia.The near field digital seismic waveform data recorded by the Inner Mongolia Digital Seismic Network from 2008 to March，2016 is used in this paper to calculate the source spectrum parameters of small and medium-sized earthquakes using the multi-station joint inversion method （Liu Fang et al.， 2007； Yang Jingqiong et al.， 2010）.As a result， the seismic moment M0， the moment magnitude MWand the stress drop σ of these earthquakes are obtained.The linear regression method is used to study the relationships between the near earthquake magnitude MLand MW， MWand σ， in order to provide a scientific reference for strong earthquake quick reporting，earthquake cataloging and related seismological studies.

2018年6 月，教育部召开了改革开放40年来第一次本科教育会议，提出要“坚持以本为本、推进四个回归”，可见本科教育的问题已在国家层面被高度重视。随着人们生活水平的不断提高，思想观念的不断开放，对自身健康自然是更加看重[1]。南京体育学院作为江苏省唯一一所体育类院校，体育专业是其教学之重。在高校中开展民间体育，一是民间体育的本质可以使学生得到体育锻炼，强健体魄。二是学生毕业后可以将锻炼方法传授给社会大众，帮助社会大众锻炼身体的同时，也传承与发扬了我国的民间体育活动。

1 DATA SELECTION AND DATA PROCESSING

Seismic waveform data of 202 earthquakes occurring in the central and western regions of Inner Mongolia are selected for“S window”data preprocessing to get the quality factor value Q（f）and station site response in this area.According to the principle of“signal to noise ratio greater than 2， and the recording station number for each earthquake N≥4”（Liu Lifang et al.，2010；Yang Jingqiong et al.， 2013）， seismic source parameters（seismic moment， moment magnitude and stress drop）of 182 earthquakes that met the requirements are finally obtained.

When calculating the seismic source spectrum of the station，it is necessary to deduct the transmission path effect，the site response of the station and the instrument response.The most critical is the medium quality factor Q of the medium of the quality factor，it is an important physical parameter of earth medium to describe the characteristics caused by the imperfect elasticity of medium，the attenuation of seismic wave in the process of propagation in the medium，or the energy dissipation defined as：

1.1 Data Selection

There are 22 seismic stations in the central and western regions of Inner Mongolia（including eight in Inner Mongolia， one in Hebei， nine in Ningxia， and four in Shanxi）， except for stations TLE and LWU of the Ningxia Digital Seismic Network whose stylobates are of clay，the stylobates of the remaining twenty stations are all of bedrock.The stations are equipped with five types of 24-bit data acquirers， namely， EDAS-24IP， EDAS-24GN6， EDAS-24L6， SMARRT-24R and CMG-DM24， and four types of seismometers； ground ultra-broadband， very broadband， borehole very broadband and broadband， with a ground motion velocity response frequency of 60s／50Hz.The effective seismometer dynamic range is more than 130dB，the sampling rate is 100 points per second，and the dynamic range of data acquisition is more than 130dB.Two hundred and two earthquake events with ML≥2.8 occurring during 2009-March， 2016 are selected to measure the moment magnitude in this study（Fig.1），it can be seen from Fig.1 that the 202 earthquakes basically cover the central and western regions of Inner Mongolia，basically reflecting the characteristics of the geological structure of the region.

Fig.1 Distribution of 202 earthquakes and stations in the central and western regions of Inner Mongolia from 2009 to March，2016

1.2 Data Processing

1.2.1 “S Window”Date Preprocessing

4.协助部队布雷。组建海上民兵布雷扫雷分队，利用加改装民船将水雷装载上船，输送到任务海域，按海军要求进行布设，实现对港口、岛礁、重要航道的水雷封锁。

Before measuring the moment magnitude， the“S window” should be intercepted.The“S window”is defined as the time period from the initial S-wave to 90%of the total energy of S-wave.However， the“90%of total energy of S-wave”is only a theoretical concept， which is realized by human-computer combined“visual reading”.Experienced analysts and permanent personnel are selected to read the arrival time of seismic phase and the“S window”， so as to avoid reading errors to the maximum extent.

According to the above reading principles，the arrival time of the seismic phase and the closing times of the“S window”of the 182 earthquakes are defined， and the fitting relationship between the length of“S window”and Sg-Pg is also obtained （Fig.2）.From Fig.2， the fitting relationship is the linear relationship，the root-mean-square is 0.11.The relationship between the length of the“S window”and Sg-Pg is as follows：

Where， Tseis the closing time of“S window”； TSfis the arrival time of Sf， and TPgis the arrival time of Pg.

In summary， the site responses of the 14 stations of the 22 stations are around 1， accounting for 63.6%of the total， site responses of 4 stations have slight amplification or attenuation effects，accounting for 18.2%of the total，the site responses of another 4 stations have amplification effects at high frequencies， accounting for 18.2%of the total.According to the analysis， the accuracy of the magnitude measurement is almost guaranteed by the change result of site responses of these 22 stations.

Fig.2 The linear relationship between the length of“S-wave window”and Sg-Pg

1.2.2 The Determination of Q Value and the Site Response of the Station

（3）批发市场辐射型。即“市场+基地+农户”，主要以农产品批发交易市场为载体，辐射带动生产基地的形成，促使各类农产品直接进入市场。

从横向上看，各类主题在媒体话语中的比重差异较大。在1 070篇传统媒体文本中，“问题反馈”和“热点事件”主题类话语比重较大，分别占31%、26%，即在与计划生育政策有关的报道中，传统媒体侧重于挖掘并呈现当前政策引发的各类问题，或持续跟进热点事件。相对的，在500条微博中，反映“问题反馈”和“热点事件”的较少，而“政策观点”类占比将近50%，这说明在新媒体平台上，发声者更倾向于“直抒胸臆”，鲜明地表达自身对当前政策的态度和立场。

The quality factor Q（f） in the research area and the site response of 22 stations should be determined before calculating the moment magnitude.The 46 seismic waveform data with relatively clear waveforms from 2009 to 2015 （3.0≤ML≤4.7） are used for the inversion of quality factors Q（f）.In the range of 1-20Hz， the value of quality factor Q（f） has a good linear relation with its frequency （Fig.3， formula （2））.

Where， Q0＝ 556.3 is the Q value when the frequency is 1Hz， and 0.3775 is the absorption coefficient η of the medium.

where， Aij（f） stands for the Fourier amplitude spectrum （observed spectrum） of the i earthquake observed at the j site，Ai0（f） is the amplitude spectrum of seismic source（source spectrum） of the i earthquake， Rijis the hypocentral distance （the i earthquake to the j station）， G（Rij） is the function of geometric attenuation， Q（f） is the frequency-dependent quality factor， β is the velocity of seismic wave （S-wave only here）， Sj（f） is the site response term of the j station， Ij（f）is the instrument response term of the j station，and f is the frequency.

Sfis the first arrival time of S-wave phase：① if the station records the arrival time of Sn，Sf is equal to the arrival time of Sn；② if there is no Sn，Sfis equal to the arrival time of Sg.

（2）加强施工工艺改造技术的研究。喷混植生是工程与生物措施紧密结合的施工技术，工艺过程复杂并影响着工程质量。主要研究不同母岩、不同坡度岩石坡面的最佳施工工艺，锚杆与挂网工艺的改进、建植层喷混工艺的优化等，达到既降低生产成本，又能快速生态治理、长期护坡的目的。

Fig.3 The fitting chart of quality factor Q（f）

The moment magnitude is a magnitude scale determined completely by the seismic moment.The moment magnitude is defined originally by the consistency principle of the determination results （Liu Ruifeng et al.，2015）.The moment magnitude reflects the size of deformation scale，it is the best physical quantity to measure the earthquake magnitude，and will not cause the problem of magnitude saturation.

Fig.4 Site response of 6 stations

Fig.5 Ray diagram of 182 earthquakes and stations

2 THE CALCULATION PRINCIPLE OF MOMENT MAGNITUDE

“An earthquake is a bright lamp that illuminates the interior of the earth in a moment”，extracting and analyzing the rich information carried by seismic waves is the most important way to overcome the“invisibility” of the earth's interior.The seismic wave recorded by seismograph contains the“effect of seismic source， effect of propagation path of seismic wave （geometric diffusion of medium， inelastic attenuation of medium）， site response of station， instrument response and noise”.The source spectrum can be obtained only by deducting the propagation path effect， station site response and instrument response， etc.

模态分析是动力学分析的基础，结构的模态能够直接反映出结构自身刚度和结构布置的特性，是结构地震分析的基础。抗震分析的第一步是对结构进行模态分析，提取自振频率和振型，得到结构的基本动力特性。

The Fourier spectrum of the i seismic ground motion recorded by seismograph at the station j is：

此外，记者注意到米奥会展主营业务毛利率逐年下降，其中境外自办展毛利率下降幅度不小，不免让人对其未来可持续盈利能力表示质疑。报告期内，公司综合毛利率分别为43.50%、40.30%、39.98%。细分毛利率来看，米奥会展自办展毛利率近三年累计下降7个百分点左右，其中占比重大的境外自办展毛利率则累计下降超过9个百分点。2015年-2017年境外自办展毛利率分别为49.76%、42.80%、40.27%，其中2016年较2015年的毛利率降幅达6.96%。

The site responses of 22 stations are obtained according to the above quality factor Q（f）.Among them， a total of 14 stations'site responses are near 1， namely， the stations of Baochang，Liangcheng， Horinger， Jining， Xishanzui， Kangbao， Niushoushan， Xiangshan， Zhongwei，Tongxin， Yanchi， Taole， Yinchuan and Shizuishan， where the change of site response is small along with the change of frequency.The site response of the Lingwu and Baoheshao stations has a slight amplification effect.It can be seen from the analysis that the amplification effect at Lingwu station is due to the relatively soft soil layer（Jin Chunhua et al.， 2012）， and the amplification effect of Baoheshaotai station is due to the thick surrounding coating.The site response at Baotou and Eelianhaote stations has a slight attenuation effect，it may be because that the base rock of the station is relatively hard or it is influenced by the geological environment of the station（Wang Xin et al.， 2015）.The site response of Datong and Zhenchuan stations shows a slight attenuation at low frequencies and amplification effect at high frequencies.The site response of Youyu and Pianguan stations is near 1 at low frequencies and the amplification effect is obvious at high frequencies.Fig.4 only shows the site responses of HLG， JIN， LCH， XSZ， ZCH and SHZ stations.

Within the frequency domain， the seismic source spectrum Ai0（f） is obtained after correction of the geometrical attenuation， inelastic attenuation， site response and instrument response of the observed displacement spectrum Aij（f）.In this paper， the influence of the propagation path is calculated by using the models of three-section geometric attenuation（Atkinson G.M.，Mereu R.F.，1992； Wong Yuklung et al.，2003）， the site response of the station can be calculated using the joint inversion of multiple stations and multiple earthquakes（Moya et al.， 2000）， and the instrument response can be calibrated through instrument calibration.

五是得益于强化项目管理。水利部会同财政部等有关部局制定了项目建设管理、资金管理暂行办法，国家防办印发了项目建设管理相关文件，组织开展平台软件及山洪预警专用产品技术测评，及时通报项目建设进度，并派出了4批次共56个专家工作组检查督导项目建设工作，对8个省（市）进行了专项稽查。通过强化项目建设管理，保障了项目建设质量和进度。

where，E stands for the accumulated energy in the movement of a certain volume of earth medium in a seismic wave period T （or a wave length λ）， and ΔE the wasted energy in the movement of the same volume of medium in a seismic wave period T （or a wave length λ）.It can be seen from formula （5）， when the seismic wave propagates in a medium with larger Q value， the energy dissipation is smaller and the wave attenuation is slower.

Using the source spectrum model ω2of Brune's quadratic attenuation as the theoretical source spectrum Athe0（f）， the minimal residual source spectrum parameter Ω0（zero frequency amplitude）and the corner frequency（Brune，1970） defined by A-0（f） and Athe0（f） are calculated by using the genetic algorithm.The source parameters， i.e.seismic moment M0and stress drop Δσ， are calculated by using the obtained source spectrum parameters.

where， density ρ is set as 2.7g／cm3， β is the velocity of S-wave， Rθφ is the source radiation pattern coefficient，so：

In the formula， density ρ is set as 2.9g／cm3， β is the S-wave velocity （set as 3.5km／s）， r is the source characteristic scale，R is the radiation pattern coefficient.

Moment magnitude MWis calculated from the seismic moment M0（Kanamori H.， 1977a，1977b；Hanks T.C.et al.，1979）， as：

3 RESULT AND ANALYSIS

3.1 The Parameters of Seismic Source

According to the above principle， the value of parameters of the seismic source （seismic moment， moment magnitude and stress drop） are obtained for the 182 ML≥2.8 earthquakes， and the calculation results of seismic source parameters for 19 ML≥3.8 earthquakes are listed in Table 1.

在基层社会治理的模式构建中有三大要素对社会治理效果发挥着重要作用，分别是基础保障性要素、创新协同性要素和工具性要素。诚然，在社区治理中对社区治理主体进行简单的分类并没有实质性的意义，在归类基础上对其结构和资源的整合以及流程的再造才是要素区分的要义。

3.2 Relationship between Near Earthquake Magnitude and Moment Magnitude

Based on the results of“S window”selection， quality factor and site response， the seismic source parameters of the 182 earthquakes that met the conditions are finally obtained，and the earthquakes and station rays are shown in Fig.5.

Table 1 The moment magnitude catalog of earthquakes（ML≥3.8）

Date（a-m-d）Origin time（h：m：s）Epicenter location Magnitude N／（°） E／（°） ML M0（N·m-1） MW Stress drop σ／MPa Number of station 2009-03-28 19：11：21.1 38.95 112.90 4.8 1.26 ×1015 4.0 41.16 9 2009-11-21 15：51：03.0 38.20 106.58 4.6 3.93 ×1016 5.0 292.55 11 2009-12-29 04：45：06.1 44.51 114.50 3.9 1.31 ×1014 3.3 87.30 5 2010-02-08 21：42：26.7 39.20 111.77 3.8 1.57 ×1014 3.4 96.89 6 2010-06-20 19：03：17.7 39.87 106.41 4.7 1.16 ×1014 4.6 89.81 11 2012-03-05 03：38：42.9 41.20 114.41 3.8 8.93 ×1013 3.2 18.40 8 2012-06-19 03：15：26.9 40.87 108.17 3.8 1.05 ×1014 3.3 25.65 9 2012-09-27 21：59：50.1 39.49 105.74 3.9 1.58 ×1014 3.4 1.24 5 2012-11-20 10：24：23.7 38.39 106.25 5.0 1.24 ×1015 4.0 2.68 10 2013-04-01 17：47：32.4 40.39 107.13 4.5 9.05 ×1014 3.9 5.94 6 2013-07-03 05：04：32.5 39.94 106.39 3.8 7.25 ×1014 3.2 5.44 6 2013-11-09 08：47：35.0 39.32 112.41 3.8 1.02 ×1014 3.3 17.31 7 2014-02-28 02：52：59.6 39.33 106.76 4.4 3.06 ×1014 3.6 2.86 9 2014-08-30 07：05：43.9 42.38 109.73 4.4 5.15 ×1014 3.7 27.25 7 2015-02-05 09：49：02.1 38.37 106.26 4.0 2.01 ×1014 3.5 1.19 6 2015-03-08 01：30：17.1 40.83 107.40 3.8 9.66 ×1013 3.3 10.49 5 2015-04-15 18：49：57.9 39.80 106.41 3.9 1.59 ×1014 3.4 2.93 5 2015-04-16 17：16：20.7 39.79 106.45 4.1 1.60 ×1014 3.4 2.98 9 2015-11-22 22：53：41.7 39.95 106.77 4.1 1.65 ×1014 3.4 3.54 8

First of all，a comparative analysis is made between the measured near earthquake magnitudes MLand the moment magnitude MW（Fig.6）， and the linear relationship between ML and MWcan be seen from Fig.6.Most earthquakes in this study are below magnitude 4.5，their hypocenters are basically point sources， the dominant period of the seismic wave is about 1.0s，and the size of the earthquake can be indicated well by the near earthquake magnitude ML.However， the moment magnitude MWis a homogeneous magnitude scale， and can represent all sizes of earthquakes no matter whether it is a large earthquake or a small earthquake，a bathyseism or a shallow earthquake.

The MLand MWof the 182 earthquakes are analyzed using the linear regression method（Fig.6， Table 2）.From Fig.6， the near earthquake magnitude MLchanges in the range of 2.8-5.0， the moment magnitude MWchanges in the range of 2.5-4.2， there is a good linear relationship between MLand MW，the correlation coefficient R＝0.9302，indicating that with the increase of ML，the moment magnitude MWalso increases.The regression relationship between ML and MWis as follows：

Analyzing the fitting relationship finds that： when ML ＝2.35， MLand MWare equal； when MLis smaller than 2.35，ML＞MW；when ML＞2.35，ML＜MW.

Fig.6 The regression relationship between MWand ML

Table 2 The regression relation between near earthquake magnitude MLand moment magnitude MW

ML 3.0 3.5 4.0 4.5 5.0 5.5 6.0 6.5 MW 2.8 3.2 3.5 3.9 4.3 4.6 5.0 5.3

3.3 The Relationship between Moment Magnitude and Stress Drop

Based on the linear regression method，a regression analysis is performed on the moment magnitude MWand the stress drop Δσ of the 182 earthquakes （Fig.7）.As it can be seen from Fig.7， MWand lgΔσ have a weak positive correlation， basically， lgΔσ increases with the increase of MW.When MW ＜2.5，the linear relationship is not obvious；When MW ＞2.5，the relationship is significant.The distribution range of the moment magnitude is between 2.5 and 5.4，and the distribution range of lgΔσ is 10-1-104， and the dominant distribution is in 1-102， indicating that MWhas a weak dependence on lgΔσ.

4 CONCLUSION

Through the study of moment magnitude of moderate and small earthquakes in the central and western regions of Inner Mongolia，it can be seen that incorporating the moment tensor solution that describes the source physical properties into the quick report and official report of the earthquake catalogue can not only avoid the problem of magnitude saturation，but also can integrate with international seismic data.At the same time，it can enrich the content of earthquake observation report to provide better service for earthquake emergency response and earthquake research.

（1）The moment magnitude is a uniform magnitude scale， suitable for statistics of a wide range of magnitudes， there will be no phenomenon of magnitude saturation， it can be used to measure not only a major earthquake， small seism， micro earthquake and even a minimal vibration， but also shallow earthquake and plutonic earthquakes.Studies suggest that， within a certain magnitude range，the moment magnitude can be connected with the conventional surface wave magnitude，and it is feasible to measure the moment magnitude of small and medium earthquakes in the local seismometry network.

Fig.7 The regression relationship between MWand lgΔσ

（2） There is a good positive correlation relationship between the near earthquake magnitude MLand the moment magnitude MW.With the increase of ML，the moment magnitude MWalso increases.The regression relationship between MLand MWis MW＝0.72 ML＋0.66.

（3） There is a basically weak linear relation between the moment magnitude MWand the logarithm of stress drop lgΔσ， indicating that MWhas weak dependence on lgΔσ.

（4） In view of the time period studied in this paper， the number of earthquakes（ML≥2.8）is small in the central and western regions of Inner Mongolia，and the earthquake distribution is not uniform，the relationships established between near earthquake magnitude and moment magnitude， moment magnitude and stress drop are yet to be continuously improved in the future，in order to make it more in line with the scaling relationships of statics parameters in the Inner Mongolia region.

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