Abstract The mathematical modeling of adsorption/retention behavior of surface active materials in a porous medium composed of a complex network of macropores, mesopores, and micropores was studied herein. In this paper, we propose a model for these processes and discuss selecting boundary conditions for parameter fitting, analyze tracer and surfactant signal sizes, contrast calculated results of reversible and irreversible adsorption, and address the difference between local equilibrium and the rate-limited process. We used experimental data from the literature to adjust the parameters of the proposed model, taking macroporosity and mesoporosity into account. Our results show that at least two types of porosity should be used for modeling porous media. Moreover, the boundary condition at the outlet was found to significantly affect the output response. This effect is greater in systems with low Peclet numbers (high dispersion and/or diffusion, i.e., N Pe

中文翻译：

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模拟表面活性剂在多孔介质中的吸附/保留和传输

摘要 本文研究了表面活性材料在由大孔、中孔和微孔组成的复杂网络组成的多孔介质中吸附/保留行为的数学模型。在本文中，我们为这些过程提出了一个模型，并讨论了选择参数拟合的边界条件，分析示踪剂和表面活性剂的信号大小，对比可逆和不可逆吸附的计算结果，并解决局部平衡和限速过程之间的差异。我们使用文献中的实验数据来调整所提出模型的参数，同时考虑大孔隙率和中孔隙率。我们的结果表明，至少应该使用两种类型的孔隙度来模拟多孔介质。而且，发现出口处的边界条件显着影响输出响应。在具有低 Peclet 数（高色散和/或扩散，即 N Pe