期刊
出版社
WORLD SCIENTIFIC PUBL CO PTE LTD
DOI: 10.1142/S0218348X15400125
关键词
Random Walker; Tortuosity; Fractal Dimension; Pore Fractal
资金
- National Natural Science Foundation of China [41102080, 41274077, 41474055]
- Fundamental Research Funds for the Central Universities [CUG130404, CUG130103]
- Open Fund of State Key Laboratory of oil and Gas Reservoir Geology and Exploration (Chengdu University of Technology) [PLC201103]
The fractal dimension of random walker (FDRW) is an important parameter for description of electrical conductivity in porous media. However, it is somewhat empirical in nature to calculate FDRW. In this paper, a simple relation between FDRW and tortuosity fractal dimension (TFD) of current streamlines is derived, and a novel method of computing TFD for different generations of two-dimensional Sierpinski carpet and three-dimensional Sierpinski sponge models is presented through the finite element method, then the FDRW can be accordingly predicted; the proposed relation clearly shows that there exists a linear relation between pore fractal dimension (PFD) and TFD, which may have great potential in analysis of transport properties in fractal porous media.
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