Inversion method and application of seismic intensity attenuation parameters based on genetic algorithm
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摘要: 收集郯庐断裂带中南段59次地震的等震线数据，运用遗传算法，将郯庐断裂带中南段按照断裂带东侧和西侧分区，分别反演其地震烈度衰减参数，反演时使目标函数的一范数最小，同时对烈度衰减曲线的远场施加约束，通过自助抽样（Bootstrap）技术多次重复反演以对反演结果的稳定性进行评价，并将断裂带东侧和西侧的烈度衰减曲线分别与第五代地震动参数区划图进行对比。结果表明：使用本文提出的方法进行反演可使烈度衰减曲线即使不进行近、远场补点，也能收敛；断裂带东侧和西侧的结果均与第五代地震动参数区划图的结果存在差异，且断裂带东侧与西侧的结果也不同。这种差异可能与断裂带两侧的介质速度结构及衰减效应等因素的差异有关。Abstract: Isoseismal lines of 59 earthquakes occurred in middle south segment of Tanlu fault zone are collected. Seismic intensity attenuation parameters in eastern and western part of Tanlu fault are inversed respectively by genetic algorithm. The one norm of misfit function is used and constraint on far field of seismic intensity attenuation curve is added during the inversion. A bootstrap technique is adopted to repeat the inversion process for several times to evaluate the stability of inversion. Results are compared with the fifth generation seismic ground motion parameter zonation map, it shows that seismic intensity attenuation curve can converge even no data are added in near and far filed by proposed inversion method in this paper. Seismic intensity attenuation of eastern and western part of Tanlu fault are different from those of fifth generation seismic ground motion parameter zonation map. Besides, the seismic intensity attenuation of eastern part and western part are different from each other. This difference may be related to the medium velocity structure and attenuation characteristic.
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图 1 研究区参与反演的地震震中分布图
Figure 1. Epicenter location of earthquakes for inversion in the studied area
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图 2 研究区郯庐断裂带东侧（a）和西侧（b）烈度衰减曲线
Figure 2. Seismic intensity attenuation curves in east side （a） and west side （b） of Tanlu fault zone in the studied area
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图 3 郯庐断裂带东侧长轴方向（a）和短轴方向（b）的自助抽样结果绘制的烈度衰减曲线
Figure 3. Seismic intensity attenuation curves along major axis （a） and minor axis （b） in eastside of Tanlu fault zone by a bootstrapping process
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图 4 郯庐断裂带西侧长轴方向（a）和短轴方向（b）的自助抽样结果绘制的烈度衰减曲线
Figure 4. Seismic intensity attenuation curves along major axis （a） and minor axis （b） in west side of Tanlu fault zone by a bootstrapping process
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图 5 郯庐断裂带东侧烈度衰减曲线与五代图烈度衰减曲线对比
（a） 长轴方向; （b） 短轴方向
Figure 5. Comparison of seismic intensity attenuation curves between east side of Tanlu fault zone and fifth generation seismic ground motion parameter zonation map
（a） Major-axis direction; （b） Minor-axis direction
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图 6 郯庐断裂带西侧烈度衰减曲线与五代图烈度衰减曲线对比
（a） 长轴方向；（b） 短轴方向
Figure 6. Comparison of seismic intensity attenuation curves between west side of Tanlu fault zone and fifth generation seismic ground motion parameter zonation map
（a） Major-axis direction; （b） Minor-axis direction
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图 7 郯庐断裂带东侧与断裂带西侧烈度衰减曲线对比
（a） 长轴方向；（b） 短轴方向
Figure 7. Comparison of seismic intensity attenuation curves between east side and west side of Tanlu fault zone
（a） Major-axis direction; （b） Minor-axis direction
表 1 郯庐断裂带东西两侧地震震级和烈度分布表
Table 1 Distribution of earthquake magnitude and intensity in east and west sides of Tanlu fault zone
震级范围 地震次数 烈度值≥Ⅳ的等震线条数 合计 主断裂东测 主断裂西测 东 西 Ⅳ Ⅴ Ⅵ Ⅶ Ⅷ Ⅸ Ⅹ Ⅳ Ⅴ Ⅵ Ⅶ Ⅷ Ⅸ Ⅹ 东 西 MS3.0—3.9 8 10 6 6 0 0 0 0 0 9 7 0 0 0 0 0 12 16 MS4.0—4.9 15 14 9 15 5 0 0 0 0 7 14 4 0 0 0 0 29 25 MS5.0—5.9 2 5 1 1 2 2 0 0 0 1 4 5 3 0 0 0 6 13 MS6.0—6.9 2 1 2 2 1 1 1 0 0 0 0 1 1 0 0 0 7 2 MS7.0—7.9 0 2 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 10 合计 27 32 18 24 8 3 1 0 0 17 26 12 6 2 2 1 54 66 
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