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分形多孔介質(zhì)孔道網(wǎng)絡(luò)模型的構(gòu)
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of Pore Network Model of Fractal Porous Media
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    摘要:

    采用壓汞試驗(yàn)獲得實(shí)際多孔介質(zhì)的微觀結(jié)構(gòu)參數(shù)。以凍干馬鈴薯為例計(jì)算了孔隙分形維數(shù),，結(jié)果表明凍干馬鈴薯結(jié)構(gòu)具有顯著的分形特性,。運(yùn)用位似變換理論,、分形理論,、Voronoi圖以及馬鈴薯的特征參數(shù)等,，構(gòu)建出與馬鈴薯結(jié)構(gòu)參數(shù)相對(duì)應(yīng)的二維分形孔道網(wǎng)絡(luò)模型,。構(gòu)建的網(wǎng)絡(luò)模型考慮了影響多孔介質(zhì)干燥的孔道微細(xì)結(jié)構(gòu)特征,，模型參數(shù)能夠很好地反映多孔物料的微觀結(jié)構(gòu),，且獲得了合理的分形維數(shù)。

    Abstract:

    The micro-structure parameters of the actual porous media through mercury intrusion experiment were obtained, and the fractal dimension of pore distribution was calculated, taking frozen-dried potato for example. The result showed that the pores in the freeze-dried potato presented the remarkably fractal properties. A two-dimensional fractal pore network model of porous media was constructed based on the theories of homothetic reduction, fractal geometry, Voronoi diagram, along with the structural parameter of potato. Since pore microstructure characteristic was considered into the model, the parameter of network model can well reflect the microstructure of porous materials, and the reasonable fractal dimension was obtained.

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宮英振,牛海霞,董正茂,劉相東.分形多孔介質(zhì)孔道網(wǎng)絡(luò)模型的構(gòu)[J].農(nóng)業(yè)機(jī)械學(xué)報(bào),2009,40(11):109-114. of Pore Network Model of Fractal Porous Media[J]. Transactions of the Chinese Society for Agricultural Machinery,2009,40(11):109-114.

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