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《Chinese Journal of Underground Space and Engineering》 2005-06
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Numerical Simulation Method of Fractal Dimension of Percolation Cluster in Porous Mediums

LU Zhao-xing,FENG Zeng-chao,ZHAO Yang-sheng (Mining Technology Institute,Taiyuan University of Technology Taiyuan 030024,China)  
The basic theory of porous mediums in 2D condition is introduced and the theory of Renormalization method is applied to research the percolation.Based on numerical simulation experiment,this paper demonstrates the fractal characteristic of percolation cluster and drew the relationship curve between the number of percolation cluster: M(L) and L.deduced the function: M(L)=0.353?8L~(1.937?9)(site percolation),M(L)=0.711?2L~(1.905?4)(bond percolation).the fractal dimension of percolation is D=1.937?9(site percolation).D=1.905?4(bond percolation).We compared the result of numerical simulation experiment with accurate value.and analyzed the reason for the error.At the same time this paper explicated how to write the program in detail.how to experiment by using numerical simulation step by step.The essential preparative is order to our research in the future.
【Fund】: 国家自然科学基金资助项目(50404017 50434020)
【CateGory Index】: O357.3
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