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A fractal model of the porous microstructure of earth-based materials

机译:土基材料多孔微结构的分形模型

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Soils with a clay component have been widely used as construction materials since the earliest times and now it continue to be used in some developing countries and in the so-called bioarchitecture. This paper presents the experimental porosimetric data obtained for 13 different earth-based materials using the mercury intrusion technique. The porous microstructure is geometrically described by means of two models based on fractal geometry, the Menger' sponge and an original P' sponge proposed here. The P' sponge is constructed using an aggregation process of granular components, resembling the formation and texture of soil. The fractal dimension of the experimental data set is determined following Pfeifer and Avnir's approach. Generally the fractal range spans two to three orders of magnitude, from 20 to 0.02 μm. The results show the P' sponge to be more representative than the Menger' sponge.
机译:自最早以来,具有粘土成分的土壤就被广泛用作建筑材料,现在在某些发展中国家和所谓的生物建筑学中仍继续使用。本文介绍了使用压汞技术从13种不同的地球基材料获得的实验孔隙率数据。通过基于分形几何的两个模型,Menger'海绵和此处提出的原始P'海绵,以几何方式描述了多孔微结构。 P'海绵采用颗粒状成分的聚集过程构造而成,类似于土壤的形成和质地。实验数据集的分形维数是根据Pfeifer和Avnir的方法确定的。通常,分形范围跨越2到3个数量级,从20到0.02μm。结果表明,P'海绵比Menger'海绵更具代表性。

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