Abstract
According to Cubic law and incompressible fluid law of mass conservation, the seepage character of the fracture surface was simulated with the simulation method of fractal theory and random Brown function. Furthermore, the permeability coefficient of the single fracture was obtained. In order to test the stability of the method, 500 simulations were conducted on each different fractal dimension. The simulated permeability coefficient was analyzed in probability density distribution and probability cumulative distribution statistics. Statistics showed that the discrete degree of the permeability coefficient increases with the increase of the fractal dimension. And the calculation result has better stability when the fractal dimension value is relatively small. According to the Bayes theory, the characteristic index of the permeability coefficient on fractal dimension P(D fj |R i ) is established. The index, P(D fj |R i ), shows that when the simulated permeability coefficient is relatively large, it can clearly represent the fractal dimension of the structure surface, the probability is 82%. The calculated results of the characteristic index verify the feasibility of the method.
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Foundation item: Project(50934006) supported by the National Natural Science Foundation of China; Project(CX2012B070) supported by Hunan Provincial Innovation Foundation for Postgraduate, China; Project(1343-76140000024) Supported by Academic New Artist Ministry of Education Doctoral Post Graduate in 2012, China
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Peng, K., Li, Xb., Wang, Zw. et al. A numerical simulation of seepage structure surface and its feasibility. J. Cent. South Univ. 20, 1326–1331 (2013). https://doi.org/10.1007/s11771-013-1619-3
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DOI: https://doi.org/10.1007/s11771-013-1619-3