Abstract A new method is developed to calculate characteristics of contaminant transport (including non-classical regimes) in statistically homogeneous sharply contrasting media. A transport integro-differential equation in the space-time representation is formulated on the basis of the model earlier proposed by one of the authors (L. M.). Analytical expressions for transport characteristics in limiting time intervals in the one-dimensional case are derived. An interpolation form is proposed for the integral kernel of the transport equation. On a basis of this expression, an algorithm is developed for numerical modelling the contaminant transport in statistically homogeneous sharply contrasting media. Trial numerical 1D calculations are performed based on this algorithm. Good agreement was found between the numerical simulation results and the asymptotic analytical expressions.

中文翻译：

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统计均匀、对比鲜明的介质框架中杂质输运数值模拟的一种新算法

摘要 开发了一种新方法来计算在统计上均质、对比鲜明的介质中污染物传输（包括非经典状态）的特征。时空表示中的输运积分微分方程是根据作者之一 (LM) 早先提出的模型制定的。推导出了一维情况下有限时间间隔内传输特性的解析表达式。提出了输运方程积分核的插值形式。在此表达式的基础上，开发了一种算法，用于对统计上均质、对比鲜明的介质中的污染物传输进行数值模拟。基于该算法进行试验数值一维计算。