| 结构非均匀性理论模型的关联维描述 |
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| 引用本文： | 李锰,杨峰.结构非均匀性理论模型的关联维描述[J].内陆地震,2010,24(3):193-198. |
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| 作者姓名： | 李锰 杨峰 |
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| 作者单位： | 新疆维吾尔自治区地震局,新疆乌鲁木齐830011 |
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| 摘 要： | 利用二维contor三分"非空"集合生成方法构建了非均匀结构理论模型。通过不断改变分形元三段访问概率及其空间构型,得到了样本值强度及其空间分布各不相同的24种样本,并采用推广G-P法分别求解了关联维。研究结果表明,利用关联维不仅可以表征结构的匀质程度,同时也可以描述其几何分布的非均匀程度,分维值越小反映了结构强度及其空间分布的不均匀性增大的物理本质。作为一种简化、有效刻画几何结构非均匀性的指标,关联维是一种较为合适的选择。
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| 关 键 词： | 结构非均匀性 推广G-P法 关联维 |
CORRELATION FRACTAL DIMENSION DESCRIPTIONS ON GEOMETRY AND STRUCTURE HETEROGENEITY OF THE ORETICAL MODEL |
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| LI Meng,YANG Feng.CORRELATION FRACTAL DIMENSION DESCRIPTIONS ON GEOMETRY AND STRUCTURE HETEROGENEITY OF THE ORETICAL MODEL[J].Inland Earthquake,2010,24(3):193-198. |
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| Authors: | LI Meng YANG Feng |
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| Institution: | (Earthquake Administration of Xinjiang Uygur Autonomous Region,Urumqi 830011,Xinjiang,China) |
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| Abstract: | Using 2-dimensional and ＂non-empty＂ Contor sets generating method geometry and structure heterogeneity of theoretical are built up models.24 kind of heterogeneous fault models with different intensity and different spatial distribution were obtained by changing probability and spatial structure,After that,the heterogeneities of models are characterized with the correlation fractal dimensions by using generalizing Grasbergre-Procaccia method.The results show that correlation fractal dimensions not only represent the heterogeneity of strength distributions,but also characterize that of strength geometric distributions,and the smaller correlation fractal dimension reflects the more heterogeneous distribution of strength and geometry.As a sort of parameter of describing fault structure heterogeneities,The correlation fractal dimension is a effective and proper alternative. |
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| Keywords: | Geometry and structure heterogeneity Generalizing grasbergre-procaccia method Correlation fractal dimension |
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