| 多孔介质表面分形维数的标度关系及其理论验证 |
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| 引用本文： | 张宝泉,刘秀凤,李绍芬.多孔介质表面分形维数的标度关系及其理论验证[J].天津大学学报(英文版),2000,6(2):181-184. |
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| 作者姓名： | 张宝泉 刘秀凤 李绍芬 |
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| 作者单位： | 天津大学化工学院一碳化工国家重点实验室,天津,300072 |
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| 基金项目： | Supported by Visiting Scholar Foundation of Key Laboratory.inUniversity |
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| 摘 要： | 对原有的表面分形维数的计算方法进行了简化 ,藉此可以利用压汞或其他分析方法获得的孔分布信息计算出多孔介质的表面分形维数 .Sierpinski海绵的自相似性分析结果显示其内表面只在局部范围内存在标度不变性 .应用获得的简化计算方法分析自相似范围内 Sierpinski海绵的孔分布信息发现 ,由本文的标度关系计算出来的表面分形维数与其理论值非常吻合 ,这一结果从理论上证明了该标度关系的正确性 .
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| 关 键 词： | 分形 表面分形维数 Sierpinski海绵 |
THEORETICAL VERIFICATION OF THE SCALING
RELATION TO DETERMINE SURFACE FRACTAL
DIMENSION OF POROUS MEDIA |
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| ZHANG Bao-quan,LIU Xiu-feng,LI Shao-fen.THEORETICAL VERIFICATION OF THE SCALING
RELATION TO DETERMINE SURFACE FRACTAL
DIMENSION OF POROUS MEDIA[J].Transactions of Tianjin University,2000,6(2):181-184. |
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| Authors: | ZHANG Bao-quan LIU Xiu-feng LI Shao-fen |
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| Abstract: | A simplified procedure is developed to acquire the surface fractal dimension of porous media utilizing the PSD information from mercury porosimetry or other analyses.The self similarity of the inner surface of Sierpinski sponge is analyzed,the result of which demonstrates that the inner surface of Sierpinski sponge is not scale invariant over the whole range of scale transformations.By applying the simplified procedure to analyze and treat the PSD information of Sierpinski sponge over the scale invariant range,it is found that the surface fractal dimension calculated by the scaling relation is in very good agreement with its theoretical value,which virtually provides a theoretical affirmation of the method. |
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| Keywords: | fractal surface fractal dimension Sierpinski sponge |
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