| 双重分形多孔介质孔隙率的研究 |
| |
| 引用本文： | 秦宣云,崔彩虹,谷成玲,郑洲顺.双重分形多孔介质孔隙率的研究[J].佳木斯大学学报,2008,26(5). |
| |
| 作者姓名： | 秦宣云 崔彩虹 谷成玲 郑洲顺 |
| |
| 作者单位： | 中南大学数学科学与计算技术院,湖南长沙410063 |
| |
| 基金项目： | 国家重点基础研究发展计划(973计划)，湖南省科技计划，中南大学校科研和教改项目 |
| |
| 摘 要： | 根据双重分形多孔介质孔隙分布分形维数D与孔隙迂曲分形维数DT的定义和计算公式,推导了多孔介质孔隙率的计算公式.通过孔隙率计算公式的函数图像分析了双重分形维数D和DT的变化对孔隙率的影响,分析结果表明孔隙率随多孔介质双重分形维数D和DT的增加而增大;多孔介质最大孔隙直径越大孔隙率增加的就越慢;当D DT＜3时,多孔介质最大孔隙直径越大孔隙率就越大,但当D DT＞3时则相反,多孔介质最大孔隙直径越大孔隙率反而越小,D DT=3是特殊点,令D DT→3时的孔隙率极限值为它的孔隙率.
|
| 关 键 词： | 多孔介质 分形 分形维数 孔隙率 |
Research on the Porosity Factor of Dual Fractal Porous Media |
| |
| QIN Xuan-yun,CUI Cai-hong,GU Cheng-ling,ZHENG Zhou-shun.Research on the Porosity Factor of Dual Fractal Porous Media[J].Journal of Jiamusi University(Natural Science Edition),2008,26(5). |
| |
| Authors: | QIN Xuan-yun CUI Cai-hong GU Cheng-ling ZHENG Zhou-shun |
| |
| Institution: | School of Mathematics and Computing Science;Central South University;Changsha 410083;China |
| |
| Abstract: | The expression of porosity for porous media is derived in this paper according to the definitions and expressions of the fractal dimensions,which include the fractal dimension of the pore's distribution(D) and the fractal dimension of the pore's tortuosity(DT).The effect of changes of the dual fractal dimensions D and DT on porosity is analyzed by the functional graph of this expression.The results show that the porosity increases with the increase of the dual fractal dimensions D and DT,and the bigger the ... |
| |
| Keywords: | porous media fractal fractal dimension porosity |
| 本文献已被 CNKI 维普 万方数据 等数据库收录！ |
