饱和非均质多孔介质中输运的连续时间随机行走模型
A continuous time random walk model of transport in variably saturated heterogeneous porous media
摘要：
本文提出了一个研究饱和多孔介质中输运问题的统一物理框架。这种方法允许流体流动和溶质迁移被视为流体和溶质粒子的系综平均值，分别。我们考虑的情况下，均匀和非均匀的多孔材料。在分形移动-不移动（MIM）连续时间随机游走框架内，非均匀性的特征在于代数衰减的颗粒保留时间。我们推导出相应的（非线性）连续极限偏微分方程，我们比较他们的解决方案的蒙特卡罗模拟结果。所提出的方法是相当普遍的，可以用来跟踪流体和溶质粒子的轨迹，为各种初始和边界条件。
英文摘要：
We propose a unified physical framework for transport in variably saturated porous media. This approach allows fluid flow and solute migration to be treated as ensemble averages of fluid and solute particles, respectively. We consider the cases of homogeneous and heterogeneous porous materials. Within a fractal mobile-immobile (MIM) continuous time random walk framework, the heterogeneity will be characterized by algebraically decaying particle retention-times. We derive the corresponding (nonlinear) continuum limit partial differential equations and we compare their solutions to Monte Carlo simulation results. The proposed methodology is fairly general and can be used to track fluid and solutes particles trajectories, for a variety of initial and boundary conditions.
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