地震多重分形计算的最小生成树法
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摘要
目前地震分形计算的方法很多 ,但各方法或多或少都存在一些问题 .本文引入一种地震分形计算的新方法最小生成树法 ( minimal spanning tree) ,对其算法作了重要的修改 ,并通过对乌什、乌苏、唐山和海城 4个区域震例的研究 ,得出大震前后地震时空分布多重分形谱由集中变疏张 ,反映了分形结构复杂性的增加、地震时空分布不均匀性的增加 .由点集的数值模拟表明 :强震前后多重分形谱变化的物理本质是地震分布由均一到不均一 ,由简单到复杂的变化过程
WT5BZ]There are many methods to calculate seismic fractal at present. However, there are still more or less questions to every method. In this paper, we introduce a new way to calculate seismic fractalthe minimal spanning tree. We make an important improvement for this method. By studying some seismic events of four regions including Wushi, Wusu, Tangshan and Haicheng, we obtain that, before the strong earthquake occurrence, the multi fractal spectrum of the space time distribution of earthquakes changes from centralized to loose. The result shows that the complexity of fractal structure and the inhomogeneity of the space time distribution of earthquakes are both increasing. By studying the numerical simulation of point sets, we draw the conclusion that the physical essence of multi fractal spectrums before and after a strong earthquake occurrence is a changing process from homogeneous to inhomogeneous, from simple to complex.
WT5BZ]There are many methods to calculate seismic fractal at present. However, there are still more or less questions to every method. In this paper, we introduce a new way to calculate seismic fractalthe minimal spanning tree. We make an important improvement for this method. By studying some seismic events of four regions including Wushi, Wusu, Tangshan and Haicheng, we obtain that, before the strong earthquake occurrence, the multi fractal spectrum of the space time distribution of earthquakes changes from centralized to loose. The result shows that the complexity of fractal structure and the inhomogeneity of the space time distribution of earthquakes are both increasing. By studying the numerical simulation of point sets, we draw the conclusion that the physical essence of multi fractal spectrums before and after a strong earthquake occurrence is a changing process from homogeneous to inhomogeneous, from simple to complex.
引文
蒋海昆 ,王忠民 ,郝九庆 .1 994 .地震能量空间分布分形特征及其中短期震兆信息研究 .地震科学联合基金进展报告 ,3 6.
朱令人 ,周仕勇 ,杨马棱 ,等 .1 995.地震分形结构和多重分维的研究 .地震科学联合基金资助课题最终成果报告 ,4 3
1 蒋海昆等 .1 994 .地震能量空间分布分形特征及其中短期震兆信息研究 .地震科学联合基金进展报告 ,3 6.
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洪时中 ,黄登仕 .1 991 .多重分形与地震 [J].四川地震 ,( 2 ) :8～ 1 8
李东升 ,郑兆 ,张军 ,等 .1 993 .地震空间分布多分维谱的计算与分析 [J].地震学报 ,1 5(增刊 ) :565～ 571
王琳瑛 ,朱传镇 ,黄容良 .1 994 .地震时空分布结构的多重分形特征的研究 [J].地震 ,1 6( 5) :1 1～ 1 8
朱令人 ,周仕勇 ,杨马陵 ,等 .1 995.强震前多重分形谱的异常及其物理解释 :以乌什研究区为例 [J].内陆地震 ,7( 2 ) :97～ 1 0 3
朱令人 ,周仕勇 ,杨马陵 ,等 .1 997.地震复杂性前兆与强震多重分形谱异常 [J].地震 ,90 ( 4) :3 3 1～ 3 3 9
Weygaert Rien V D,Bernard JT Jones,Vincent JMartinez.1 992 .Theminimalspanning treeasan estimatorforgeneralizeddimensions[J].Phys Lett,A1 69:1 4 5～ 1 50
朱令人 ,周仕勇 ,杨马棱 ,等 .1 995.地震分形结构和多重分维的研究 .地震科学联合基金资助课题最终成果报告 ,4 3
1 蒋海昆等 .1 994 .地震能量空间分布分形特征及其中短期震兆信息研究 .地震科学联合基金进展报告 ,3 6.
陈 .1 989.探索地震前兆复杂性 [M].北京 :学术期刊出版社 ,2 2 8
洪时中 ,黄登仕 .1 991 .多重分形与地震 [J].四川地震 ,( 2 ) :8～ 1 8
李东升 ,郑兆 ,张军 ,等 .1 993 .地震空间分布多分维谱的计算与分析 [J].地震学报 ,1 5(增刊 ) :565～ 571
王琳瑛 ,朱传镇 ,黄容良 .1 994 .地震时空分布结构的多重分形特征的研究 [J].地震 ,1 6( 5) :1 1～ 1 8
朱令人 ,周仕勇 ,杨马陵 ,等 .1 995.强震前多重分形谱的异常及其物理解释 :以乌什研究区为例 [J].内陆地震 ,7( 2 ) :97～ 1 0 3
朱令人 ,周仕勇 ,杨马陵 ,等 .1 997.地震复杂性前兆与强震多重分形谱异常 [J].地震 ,90 ( 4) :3 3 1～ 3 3 9
Weygaert Rien V D,Bernard JT Jones,Vincent JMartinez.1 992 .Theminimalspanning treeasan estimatorforgeneralizeddimensions[J].Phys Lett,A1 69:1 4 5～ 1 50
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