# [1]张东晖,杨浩,施明恒.多孔介质分形模型的难点与探索[J].东南大学学报(自然科学版),2002,32(5):692-697.[doi:10.3969/j.issn.1001-0505.2002.05.003] 　Zhang Donghui,Yang Hao,Shi Mingheng.Important problems of fractal model in porous media[J].Journal of Southeast University (Natural Science Edition),2002,32(5):692-697.[doi:10.3969/j.issn.1001-0505.2002.05.003] 点击复制 多孔介质分形模型的难点与探索() 分享到： var jiathis_config = { data_track_clickback: true };

32

2002年第5期

692-697

2002-09-20

## 文章信息/Info

Title:
Important problems of fractal model in porous media

1 东南大学动力工程系, 南京 210096; 2 中国科学院南京土壤研究所,南京 210008
Author(s):
1 Department of Power Engineering,Southeast University, Nanjing 210096, China
2 Institute of Soil Science, Chinese Academy of Science, Nanjing 210008, China

Keywords:

TK121
DOI:
10.3969/j.issn.1001-0505.2002.05.003

Abstract:
Fractal theory would offer promise for new sight on heat and mass transfer in porous media. Some confused conceptions in fractal percolation theory, spectral dimension, Hurst number and stable distribution are discussed. Spectral dimension links static structure exponents with dynamic processes in fractals. Hurst number corresponds to different kind of fractional Brownian motion, which means the different mode of the particle diffusion. Diffusion probability density function in fractals is described by stable distribution.Three general dynamic methods, fractional fractal equation, random walk model and a finite-difference theory, are analysed. Diffusion probability density function can be solved by fractional fractal equation,but it only provides an approximate solution. Random walk model is easily understood, but the important probability density function must be estimated through other methods. The classic finite-difference approach is widely used, which is limited by ambiguity of diffusion coefficient between the grids or pores. Therefore, these are still many difficulties and complexities for the fractal model in porous media,and further study is needed in the future.

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