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多孔結(jié)構(gòu)分形分析及其在材料性能預(yù)報(bào)中的應(yīng)用
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國(guó)家“973”計(jì)劃資助項(xiàng)目(2006CB601201)


Fractal Analysis of Pore Structure and Its Application for Prediction of Permeability and Porosity
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    摘要:

    采用分形理論表征孔隙的結(jié)構(gòu)特征,通過對(duì)燒結(jié)不銹鋼纖維多孔材料的掃描電鏡(SEM)照片進(jìn)行圖像處理和分形分析,詳細(xì)研究圖像分辨率、獲取圖像時(shí)的放大倍數(shù)、灰度圖轉(zhuǎn)化為二值圖時(shí)閾值的大小等因素對(duì)孔結(jié)構(gòu)分形分析結(jié)果的影響,并研究它們與分形維數(shù)的定性關(guān)系。結(jié)果表明,采用的燒結(jié)纖維多孔材料具有明顯的分形特征,圖像分辨率、放大倍數(shù)、閾值等因素對(duì)分形維數(shù)計(jì)算結(jié)果影響顯著:與SEM圖像的原始分辨率相比,分辨率變化越大則分形維數(shù)越大;分形維數(shù)隨著放大倍數(shù)的增大而減?。换叶葓D轉(zhuǎn)化為二值圖時(shí)的閾值存在最佳值,且隨著閾值的增大,分形維數(shù)先增大后減小。通過理論推導(dǎo),建立了多孔材料孔隙度和滲透性能與孔結(jié)構(gòu)分形維數(shù)之間的數(shù)學(xué)關(guān)系??赏ㄟ^孔結(jié)構(gòu)分形維數(shù)、面孔隙度、孔徑等參數(shù)合理預(yù)測(cè)多孔材料的體孔隙度、滲透性能,預(yù)測(cè)結(jié)果與實(shí)測(cè)結(jié)果吻合良好。

    Abstract:

    Fractal theory was applied to characterize pore structure. By image processing and fractal analysis for SEM images of sintered stainless steel fiber porous materials, the influence of image resolution, magnification, and the threshold value from grayscale image to binary image on fractal analysis results of pore structure is investigated and their qualitative relationship with fractal dimension was also studied. The results indicate that sintered porous fiber materials have typical fractal nature; the image resolution, magnification and threshold value obviously impact fractal dimension: the larger the difference between original and applied resolution is, or the smaller the magnification is, the larger the fractal dimension becomes; there is a best threshold value for SEM image conversion from grayscale image to binary image, and with the threshold value increasing, the fractal dimension increases and then decreased. The mathematical relations between fractal dimension of pore structure and porosity as well as permeability of porous materials are also discussed. It is feasible to predict the porosity and permeability through the fractal dimension, surface porosity, pore size and other parameters reasonably and the predicted results are in good agreement with the measured results.

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朱紀(jì)磊,湯慧萍,奚正平,邸小波.多孔結(jié)構(gòu)分形分析及其在材料性能預(yù)報(bào)中的應(yīng)用[J].稀有金屬材料與工程,2009,38(12):2106~2110.[Zhu Jilei, Tang Huiping, Xi Zhengping, Di Xiaobo. Fractal Analysis of Pore Structure and Its Application for Prediction of Permeability and Porosity[J]. Rare Metal Materials and Engineering,2009,38(12):2106~2110.]
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  • 收稿日期:2009-08-11
  • 最后修改日期:2009-10-27
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