利用内蒙古及周边2008～2015年11月116次M_L≥3.8地震资料，重新测定近震震级M_L、面波震级M_S，基于1范数线性回归（SR1和SR2）和2范数正交回归（OR）方法建立M_L与M_S 间的转换关系。同时，对每个点采用高斯随机扰动后发现，高斯扰动前后近震震级与面波震级间的转换关系变化不大。结果显示，正交回归方法（OR）得到的曲线，均方根误差最小，为最佳拟合曲线，转换关系式为M_S，内蒙=0.96M_L-0.10。郭履灿震级转换关系M_S=1.13M_L-1.08与本文得到的转换关系存在明显系统偏差，这可能是由于区域构造特征差异所致。M_S，内蒙值明显大于M_S，经验值，平均差值为0.23，建议使用重新矫正的M_L与M_S 转换关系式，M_S，经验与M_S，内蒙差值数量分布情况显示，差值为0.2～0.3的地震数量最多。

Using the 116 earthquakes with M_L ≥ 3.8 in the Inner Mongolia region from 2008 to 2015,we remeasured the near earthquake magnitude M_L and surface wave magnitude M_S,based on 1 norm linear regression(SR1 and SR2)and 2 norm(OR)orthogonal regression method. We established the conversion relationship between M_L and M_S. The result was tested with the Gaussian disturbance. The result shows that the orthogonal regression method(OR)result has the best fitting curve,and the conversion relation is M_S=0.96 M_L-0.10. The difference between our result and Guo Lvcan's(M_S=1.13 M_L-1.08)may be caused by regional tectonic characteristics. Inner Mongolia M_S value is significantly higher than M_S experience value,with the average difference of 0.23,the difference distribution of experience relation and the rectified relation is in the range of 0.2~0.3.

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中国地震局地震科技星火项目（XH15008）和内蒙古自治区科技重大专项《重点地区地震预测预警技术研究开发与推广示范》》共同资助