考虑活动地块边界带的分区震级经验关系

李敏, 李小军, 梁建宏

李敏, 李小军, 梁建宏. 2016: 考虑活动地块边界带的分区震级经验关系. 地震学报, 38(2): 157-166. DOI: 10.11939/jass.2016.02.001
引用本文: 李敏, 李小军, 梁建宏. 2016: 考虑活动地块边界带的分区震级经验关系. 地震学报, 38(2): 157-166. DOI: 10.11939/jass.2016.02.001
Li Min, Li Xiaojun, Liang Jianhong. 2016: Empirical relationships of earthquake magnitudes for local regions considering the active tectonic boundary areas. Acta Seismologica Sinica, 38(2): 157-166. DOI: 10.11939/jass.2016.02.001
Citation: Li Min, Li Xiaojun, Liang Jianhong. 2016: Empirical relationships of earthquake magnitudes for local regions considering the active tectonic boundary areas. Acta Seismologica Sinica, 38(2): 157-166. DOI: 10.11939/jass.2016.02.001

考虑活动地块边界带的分区震级经验关系

基金项目: 

国家国际科技合作项目 2012DFG20510

国家自然科学基金项目 51421005

北京市属高等学校创新团队建设提升计划 

国家自然科学基金项目 U1434210

详细信息
    通讯作者:

    李敏, e-mail: limin@seis.ac.cn

  • 中图分类号: P315.3

Empirical relationships of earthquake magnitudes for local regions considering the active tectonic boundary areas

  • 摘要: 地方性震级ML和面波震级MS是两种常用的震级标度, 二者经常需要依据经验公式进行相互转换. 基于历史地震整体统计的经验公式由于资料有限, 且没有考虑区域地质条件的差异, 在实际使用中所产生的误差较大. 本文整理了40多年来同时包含MLMS的1万2621条历史地震数据, 通过回归分析得到了震级MLMS的经验关系; 并进一步按照震源所处的Ⅱ级活动地块边界带进行了分区回归分析, 得到了27个分区内地震震级MLMS的经验关系. 结果显示, 经过分区转换后的MLMS具有更好的相关性, 且考虑活动地块边界带所获取的地震震级能有效地降低MLMS之间的转换误差.
    Abstract: Local magnitude ML and surface wave magnitude MS are two widely used scales of earthquake magnitude, which usually need to be converted to each other using empirical equations. Due to a limit of data, and ignorance the difference in geological conditions, empirical equations based on historical earthquakes suffer from conversion errors in practice. Based on the historical earthquake data of 12 621 records with both ML and MS recorded in the past four decades, this paper derived the empirical conversion equations between ML and MS by regression analysis. Furthermore, empirical conversion equations were derived from the partitioned data for the 27 regions classified according to the secondary active tectonic boundary areas. The results show that the correlation between MS and ML is more significant after the magnitude data are partitioned, and the magnitudes that were converted with consideration of active tectonic boundaries showed lower conversion error.
  • 图  1   震级数据组成

    Figure  1.   Composition of the magnitude data

    图  2   同时具有MSML记录的地震震级分布

    Figure  2.   Distribution of magnitudes of the earthquake events with both MS and ML records

    图  3   MSML震级的经验关系

    The orange and the green lines represent the empirical equations from Eqs.(2)and(3),respectively. The blue and the black lines represents the linear regres- sion relations from Eqs.(4)and(5),respectively

    Figure  3.   Empirical relationships between MS and ML

    图  4   基于MSML共有记录得到的4组线性经验关系的误差分布

    Figure  4.   The error distribution of the four linear empirical relationships based on the records with both MS and ML

    图  5   活动地块及其边界带

    The red segments mark the approximate areas covered by each active tectonic boundary,and the blue dots represent the sources of earthquake events with both MS and ML records

    Figure  5.   Active tectonic blocks and their boundary areas

    图  6   基于鲜水河边界带和北天山边界带地震数据 分别拟合得到的MSML经验关系曲线

    The red dots represent earthquake data from Xianshuihe boundary area,the blue dots represent data from northern Tianshan boundary area,and the grey dots represent data from other areas

    Figure  6.   Empirical relationships fitting between MSand ML based on the earthquake data within Xianshuihe and northern Tianshan boundary areas

    图  7   按边界带分区计算结果与式(3)计算结果的误差分布对比

    Figure  7.   Comparison of the conversion error of equations taking active tectonic boundaries into consideration(red) with that by using Eq.(3)

    表  1   活动地块边界带及分区标准

    Table  1   Active tectonic boundary areas and their classification criteria

    边界带名称边界带两侧活动地块 起始东经/°终止东经/°起始北纬/°终止北纬/°分区标准
    燕山渤海华北-东北亚(东段)112.6120.240.937.4-0.46λ+91.26 <φ <-0.46λ+94.26
    阴山华北-东北亚(西段)107.1112.941.440.1-0.22λ+63.91 <φ <-0.22λ+66.91
    贺兰山华北-西域105.2107.136.841.5-2.47λ+300.23<φ <-2.47λ+303.23
    岷山—龙门山青藏-南华(北段)102.7106.630.335.11.23λ-97.6<φ <1.23λ-94.6
    安宁河—小江青藏-南华(南段)102.1104.023.230.53.84λ-370.58<φ <3.84λ-367.58
    红河青藏-滇缅97.8102.228.623.5-1.16λ+140.46<φ <-1.16λ+143.36
    海原—祁连青藏-西域(东段)94.7106.440.135.3-0.41λ+77.45<φ <-0.41λ+80.45
    阿尔金青藏-西域(中段)82.994.736.339.60.28λ+11.62<φ <0.28λ+14.62
    西昆仑青藏-西域(西段)72.683.039.835.8-0.38λ+66.22<φ <-0.38λ+69.22
    汾渭鄂尔多斯-华北平原106.4114.433.939.80.74λ-46.07<φ <0.74λ-43.07
    秦岭—大别山华北-南华(东段)106.4122.835.129.7-0.33λ+68.63<φ <-0.33λ+71.63
    郯庐华北平原-鲁东黄海116.9122.931.241.01.63λ-161.24<φ <1.63λ-158.24
    东南沿海华南-南海106.0121.719.226.00.43λ-28.21<φ <0.43λ-25.21
    喜马拉雅拉萨地块南缘75.896.136.827.7-0.45λ+69.28<φ <-0.45λ+72.28
    喀喇昆仑—嘉黎拉萨-羌塘78.695.733.829.8-0.23λ+50.69<φ <-0.23λ+53.69
    玛尼—玉树羌塘-巴彦喀拉76.398.436.732.2-0.2λ+50.74<φ <-0.2λ+53.74
    三江羌塘-川滇97.799.632.627.9-2.47λ+272.78<φ <-2.47λ+275.78
    鲜水河巴颜喀拉-川滇97.8102.532.729.3-0.72λ+101.95<φ <-0.72λ+104.95
    东昆仑巴颜喀拉-柴达木82.8104.237.133.5-0.17λ+49.53<φ <-0.17λ+52.53
    西秦岭—德令哈祁连-柴达木92.8105.839.134.8-0.33λ+68.3<φ <-0.33λ+71.3
    南天山塔里木-天山73.794.639.343.60.21λ+22.64<φ <0.21λ+25.64
    北天山天山-准噶尔80.992.944.243.4-0.07λ+48.09<φ <-0.07λ+51.09
    富蕴准噶尔-阿尔泰84.296.149.442.1-0.61λ+99.55<φ <-0.61λ+102.55
    澜沧江滇西-滇南98.3101.028.520.9-2.81λ+303.7<φ <-2.81λ+306.7
    河北平原Ⅲ级块体边界113.4116.839.935.0-1.44λ+201.83<φ <-1.44λ+204.83
    安阳—菏泽—临沂Ⅲ级块体边界109.4119.434.335.50.12λ+19.67<φ <0.12λ+22.67
    台湾板块边界120.5125.223.525.80.48λ+32.8<φ <0.48λ+35.8
    注: λφ分别表示任一国内地震震中位置的经度和纬度,活动地块边界带张国民等(2005)
    下载: 导出CSV

    表  2   不同活动地块边界带分区地震MSML的经验关系

    Table  2   Empirical relationships between MS and ML for different active tectonic boundary areas

    边界带名称边界带两侧活动地块地震次数rΔr回归公式
    燕山渤海华北-东北亚(东段)1120.9010.067MS=0.1+0.92ML
    阴山华北-东北亚(西段)900.9210.087MS=0.05+0.93ML
    贺兰山华北-西域1100.8950.061MS=0.37+0.84ML
    岷山—龙门山青藏-南华(北段)13800.9140.080MS=-0.03+0.99ML
    安宁河—小江青藏-南华(南段)6680.8720.038MS=0.01+0.98ML
    红河青藏-滇缅3790.8680.034MS=0.2+0.97ML
    海原—祁连青藏-西域(东段)3140.9070.073MS=0.11+0.93ML
    阿尔金青藏-西域(中段)2530.8700.036MS=0.44+0.84ML
    西昆仑青藏-西域(西段)5610.808-0.026MS=0.42+0.86ML
    汾渭鄂尔多斯-华北平原5600.9280.094MS=-0.01+0.98ML
    秦岭—大别山华北-南华(东段)810.8670.033MS=0.3+0.88ML
    郯庐华北平原-鲁东黄海700.789-0.045MS=0.68+0.77ML
    东南沿海华南-南海4820.8390.005MS=0.12+0.95ML
    喜马拉雅拉萨地块南缘4760.760-0.074MS=0.2+0.94ML
    喀喇昆仑—嘉黎拉萨-羌塘2700.799-0.035MS=0.37+0.93ML
    玛尼—玉树羌塘-巴彦喀拉7450.803-0.031MS=0.12+0.96ML
    三江羌塘-川滇2790.8810.047MS=0.29+0.96ML
    鲜水河巴颜喀拉-川滇3180.8910.057MS=0.17+0.98ML
    东昆仑巴颜喀拉-柴达木10670.9060.072MS=-0.01+0.99ML
    西秦岭—德令哈祁连-柴达木5290.8960.062MS=0.04+0.96ML
    南天山塔里木-天山8260.812-0.022MS=0.63+0.8ML
    北天山天山-准噶尔2140.806-0.028MS=1.08+0.68ML
    富蕴准噶尔-阿尔泰560.8900.056MS=1.02+0.7ML
    澜沧江滇西-滇南1990.8580.024MS=0.12+0.98ML
    河北平原Ⅲ级块体边界550.9280.094MS=-0.03+0.96ML
    安阳—菏泽—临沂Ⅲ级块体边界590.8880.054MS=0.44+0.83ML
    台湾板块边界24220.8490.015MS=0.02+0.99ML
     注: r表示各边界带分区内地震震级MSML的皮尔森相关系数; Δr表示由边界带分区内地震统计得到的相关系数与总体相关系数的差值.
    下载: 导出CSV
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出版历程
  • 收稿日期:  2015-09-06
  • 修回日期:  2016-01-17
  • 发布日期:  2016-02-29

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