Abstract In this work, an analytical model describing liquid wicking phenomenon in porous media was constructed, based on the statistical geometry theory and the fractal theory. In the model, a new structure-property relationship, depicted by specific surface, porosity, tortuosity, pore fractal dimension, maximum pore size of the porous media, was introduced into the energy conservation equation. According to the theoretical model, the accumulated imbibition weight in porous media was achieved, and the predictions were verified by available experimental data published in different literatures. Besides, structure parameters influencing the imbibition process upon approaching equilibrium height were discussed. The model and results in this work are useful for the application of porous media in scientific research and industry.

中文翻译：

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基于统计几何理论的多孔介质芯吸分析模型

摘要 在这项工作中，基于统计几何理论和分形理论，构建了描述多孔介质中液体芯吸现象的解析模型。在该模型中，能量守恒方程中引入了由比表面、孔隙率、曲折度、孔隙分形维数、多孔介质最大孔径描述的新的结构-性能关系。根据理论模型，获得了多孔介质中的累积自吸重量，并通过不同文献发表的可用实验数据验证了预测。此外，还讨论了在接近平衡高度时影响自吸过程的结构参数。本工作的模型和结果对多孔介质在科研和工业中的应用很有帮助。