Abstract

A numerical model is developed to calculate characteristics of impurity transport (including non-classical regimes) in double porous media in the presence of colloids. A governing equation set in the space-time representation is formulated basing on earlier proposed by one of the authors (L. M.) model. Analytical expressions for transport characteristics in limiting time intervals in the one-dimensional case are derived. The features of the effect of accelerating the impurity transport due to the presence of colloids are revealed. An interpolation form is proposed for the integral kernel entering in one of the transport equations. On a basis of this expression, an algorithm is developed for numerical modeling the impurity transport in double porous media in the presence of colloids. Trial numerical 1D calculations are performed basing on this algorithm. Good agreement was found between the numerical simulation results and the limiting analytical expressions.

Graphical abstract

中文翻译：

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胶体促进杂质在多孔介质中传输的数值模拟

摘要

建立了一个数值模型来计算胶体存在下双多孔介质中杂质的迁移特征（包括非经典形式）。时空表示中的一个控制方程是根据一位作者（LM）模型的较早提出的公式制定的。推导了一维情况下有限时间间隔内输运特性的解析表达式。揭示了由于胶体的存在而加速杂质传输的效果的特征。提出了一种插值形式，用于输入传输方程之一的积分核。基于该表达式，开发了一种算法，用于在胶体存在的情况下对双多孔介质中杂质的迁移进行数值模拟。基于该算法进行一维数值试验。在数值模拟结果和极限解析表达式之间找到了很好的一致性。

图形概要