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A statistical model for porous structure of rocks

Science china(Technological Sciences) 2008年第11期51卷 2040-2058页

作者： ju yang1,2, yang yongming1, song zhenduo3 & xu wenjing4 1 state key laboratory of coal resources and safe mining, china university of mining & technology, beijing 100083, china 2 Department of Mechanical and Manufacturing Engineering, The university of Calgary, 2500 university Drive NW Calgary, AB T2N 1N4, Canada 3 china National coal mining Equipment Co. Ltd, beijing 100011, china 4 Department of Materials and Metallurgy, The university of Utah, Salt Lake City, Utah 84112, USA state key laboratory of coal resources and safe mining China University of Mining & Technology Beijing China Department of Mechanical and Manufacturing Engineering The University of Calgary Calgary Canada china National coal mining Equipment Co. Ltd Beijing China Department of Materials and Metallurgy The University of Utah Utah USA

The geometric features and the distribution properties of pores in rocks were in- vestigated by means of CT scanning tests of sandstones. The centroidal coordi- nates of pores, the statistic characterristics of pore distance, quantity, size and their probability density functions were formulated in this paper. The Monte Carlo method and the random number generating algorithm were employed to generate two series of random numbers with the desired statistic characteristics and prob- ability density functions upon which the random distribution of pore position, dis- tance and quantity were determined. A three-dimensional porous structural model of sandstone was constructed based on the FLAC3D program and the information of the pore position and distribution that the series of random numbers defined. On the basis of modelling, the Brazil split tests of rock discs were carried out to ex- amine the stress distribution, the pattern of element failure and the inosculation of failed elements. The simulation indicated that the proposed model was consistent with the realistic porous structure of rock in terms of their statistic properties of pores and geometric similarity. The built-up model disclosed the influence of pores on the stress distribution, failure mode of material elements and the inosculation of failed elements.

关键词： porous structure statistical model random numbers reconstruction rocks

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