连续时间随机游动理论模拟多孔介质中溶质运移的研究进展

An overview of continuous time random walk theory to model the behavior of solute transport in porous medium

近年来,基于连续时间随机游动(Continuous Time Random Walk,CTRW)理论所建立的模拟非均质多孔介质中溶质运移的方法已在大量的数值实验、室内实验、野外实验中得到了广泛的验证,为非均质多孔介质中的溶质运移行为提供了一种有效的模拟方法。简述了提出和发展CTRW的研究背景、基础理论以及与经典的对流-弥散方程等其他模拟方法的关系,综述了该理论在模拟溶质运移中的发展和应用,分析了实际应用中的关键问题,并展望了将其进一步发展应用于模拟反应性溶质运移的前景。

Recently, an effective approach based on the Continuous Time Random Walk （CTRW） theory has been proved successful in accounting for the behavior of solute transport in heterogeneous porous media in numerical, labo- ratory, and field experiments. This study presents a brief overview of the development and theoretical basis of the CTRW framework. The differences between CTRW and others based on the advection-dispersion equation and other approaches have been stated. We then exhibit the application of the CTRW to measured breakthrough curves from both laboratory and field experiments. Some key issues have been analyzed particularly in prospect of modeling of reactive solute transport. Further extension of the CTRW formulations to account for the transport behavior of reactive solute and in complicated system are areas for future research, which are critical and challenging problems.