| ldquo;2005.0中国地磁测量rdquo;地磁测点均匀性的分形表征. |
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| 引用本文： | 徐如刚,张毅,顾春雷,陈斌,朱志春,王雷,余勇.ldquo;2005.0中国地磁测量rdquo;地磁测点均匀性的分形表征.[J].地震学报,2012,34(3):383-388. |
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| 作者姓名： | 徐如刚 张毅 顾春雷 陈斌 朱志春 王雷 余勇 |
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| 作者单位： | 1） 中国合肥230031安徽省地震局2） 中国北京100081中国地震局地球物理研究所 |
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| 基金项目： | 地震行业科研专项，科技部科技基础性工作专项 |
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| 摘 要： | 为研究ldquo;2005.0中国地磁测量rdquo;地磁测点空间分布均匀性特征，基于分形理论，介绍了用分形学描述地磁三分量测点空间分布均匀性的方法．该方法将测点存在的区域以不同尺度划分为相等面积的小方块，提取不同方块区域内的三分量测点的数目与尺度，在双对数坐标中进行线性拟合，直线斜率的绝对值即为分形维数Df，并以此作为评价地磁三分量测点空间分散均匀性的指标．通过对ldquo;2005.0中国地磁测量rdquo;地磁测点均匀性的定量研究，结果表明，中国大陆区域、大陆105deg;E以东和105deg;E以西区域地磁三分量测点的分形维数Df各不相同，分别为1.748， 1.796和1.609； 105deg;E以东区域比105deg;E以西区域的分形维数更接近于其嵌入维数E=2（地球表面），意味着105deg;E以东区域的地磁三分量测点空间分布更均匀．
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| 关 键 词： | 2005.0中国地磁测量 三分量测点 信息维 分形 均匀性 |
Fractal characterization of the spatial uniformity of three component stations in China Geomagnetic Survey for 2005.0 |
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| Xu Rugang
,
Zhang Yi
,
Gu Chunlei
,
Chen Bin
,
Zhu Zhichun
,
Wang Lei
,
Yu Yong.Fractal characterization of the spatial uniformity of three component stations in China Geomagnetic Survey for 2005.0[J].Acta Seismologica Sinica,2012,34(3):383-388. |
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| Authors: | Xu Rugang Zhang Yi Gu Chunlei Chen Bin Zhu Zhichun Wang Lei Yu Yong |
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| Institution: | 1） Earthquake Administration of Anhui Province, Hefei 230031, China2） Institute of Geophysics, China Earthquake Administration, Beijing 100081, China |
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| Abstract: | The purpose of this research is to investigate the spatial distribution uniformity of three component stations in China Geomagnetic Survey for 2005.0.Based on fractal theory,the fractal analysis is used to describe spatial homogeneity of three component stations.The study region is divided into equal area squares with different scales.The station counts and scales are extracted from the squares and plotted in bi-logarithm coordinates,then a linear fitting to the plotted data is made.The absolute value of the linear slope is just the fractal dimension Df,which can be used as an indicator for evaluating the uniformity.Our study result indicates that,the fractal dimension for whole China mainland,for the region east of 105°E and for that west of 105°E are different from each other,being 1.748,1.796 and 1.609,respectively.The fractal dimension,1.796,for the eastern region,is closer to the embedding dimension E=2(surface of the Earth) than that of western region,implying that the three component stations distribution of the eastern region is more homogeneous. |
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| Keywords: | China Geomagnetic Survey for 2005 0 three component stations information dimension fractal uniformity |
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