Diffusive transport through porous materials is to a large extent determined by the microstructure of the material. To design materials with controlled transport properties, it is hence important to connect properties of the pore geometry to diffusive transport rates. Different kinds of microstructures from a stochastic model are generated and multiplicative regression is used to find relationships between geometric measures of the microstructures and numerically simulated diffusive transport. The main results are that the geodesic tortuosity explains a large part of the transport variation, and that the standard deviations we introduce further improves prediction. It was found that it is best to compute the tortuosity using the whole pore space, instead of using only the inlet, as is commonly done. The effects of calculating the measures using small samples of the pore structure were investigated, and a method for minimizing errors resulting from boundary effects was proposed. © 2018 American Institute of Chemical Engineers AIChE J, 65: 446–457, 2019

中文翻译：

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从孔的几何特征预测通过聚合物膜的扩散传输

通过多孔材料的扩散传输在很大程度上取决于材料的微观结构。因此，对于设计具有可控传输特性的材料，将孔几何形状的特性与扩散传输速率联系起来很重要。从随机模型中生成了不同种类的微结构，并使用了乘性回归来发现微结构的几何度量与数值模拟的扩散传输之间的关系。主要结果是，测地曲折解释了运输变化的很大一部分，而且我们引入的标准偏差进一步改善了预测。已经发现，最好使用整个孔空间而不是仅使用入口来计算曲折度。研究了使用小孔结构样本计算测度的效果，并提出了一种使边界效应引起的误差最小的方法。©2018美国化学工程师学会AIChE J，65：446–457，2019