| 物理场多重分形谱理论模型的数值模拟研究 |
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| 引用本文： | 李锰,朱令人,唐丽华,龙海英.物理场多重分形谱理论模型的数值模拟研究[J].内陆地震,2002,16(2):97-100. |
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| 作者姓名： | 李锰 朱令人 唐丽华 龙海英 |
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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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| 基金项目： | 新疆地震科学基金 (2 0 0 0 0 7) |
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| 摘 要： | 利用二维双标度三分非空集对物理场多重分形谱进行了理论模型的数值模拟研究。模拟结果表明：随着物理量空间分布不均匀性的增大，不同模型参数下的理论分形谱曲线变陡，Dq值域范围变宽。利用多重分形谱曲线的形态特征，可进一步了解是“稀疏区”还是“密集区”起主导作用，这对于从理论上把握物理和化学场分布特性具有重要意义。
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| 关 键 词： | 物理场 多重分形 理论模型 数值模拟 地球物理学 地震 |
| 文章编号： | 1001-8956(2002)02-0097-04 |
A NUMERICAL SIMULATION STUDY ON THEORETICALMODELS OF MULTIFRACTAL SPECTRA FOR PHYSICAL FIELD |
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| LI Meng,ZHU Ling ren,Tang Li hua,LONG Hai ying.A NUMERICAL SIMULATION STUDY ON THEORETICALMODELS OF MULTIFRACTAL SPECTRA FOR PHYSICAL FIELD[J].Inland Earthquake,2002,16(2):97-100. |
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| Authors: | LI Meng ZHU Ling ren Tang Li hua LONG Hai ying |
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| Abstract: | The theoretical models with different modeling parameters are studied for physical field using 2 dimensional, double scaled, non empty,three equally divided sets. The result shows that the multifractal spectra curves (D\-q q curves) become steeper and value ranges of D\-q wider with the increasing of the spatial inhomogeneity of modeling parameters. Furthermore, according to the behaviors of multifractal spectra curves in -q and q sections, it can be determined that the distribution feature of fractal structure dominated by "thinner sub sets" or "thicker sub sets". This will be important for grasping the distribution features of physical and chemical fields from the theory. |
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| Keywords: | Multifractal Theoretical model Numerical simulation |
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