非均质多孔介质中溶质运移的有效宏观扩散
Effective Macrodiffusion in Solute Transport Through Heterogeneous Porous Media
摘要：
利用均匀化方法分析了被动溶质在高度非均质多孔介质中瞬态渗流的等效性态。流动由一个耦合系统控制，该系统包括一个椭圆方程和一个线性对流扩散浓度方程，其中扩散项相对于对流较小，即考虑了高Peclet数。渐近展开导致宏观尺度传输模型的定义。数值计算，以获得有效的水力传导系数和宏观扩散系数张量已通过有限体积法进行。与溶质运移模拟相关的数值实验已经进行了比较的非均匀介质相应的有效介质。模拟的结果进行了比较的空间矩，L2误差和浓度等值线。利用均匀化方法得到的模型进行模拟得到的结果与非均匀模拟结果吻合良好。
英文摘要：
Homogenization method is used to analyse the equivalent behavior of transient flow of a passive solute through highly heterogeneous porous media. The flow is governed by a coupled system which includes an elliptic equation and a linear convection-diffusion concentration equation with a diffusion term small with respect to the convection, i.e. a high Peclet number is considered. Asymptotic expansions lead to the definition of a macroscale transport model. Numerical computations to obtain the effective hydraulic conductivity and the macrodiffusivity tensor have been carried out via finite volume methods. Numerical experiments related to the simulations of solute transport have been performed comparing the heterogeneous medium to the corresponding effective medium. The results of the simulations are compared in terms of spatial moments, L2 errors and concentration contours. Results obtained from the simulations using the model obtained by the homogenization method show good agreement with the heterogeneous simulations.
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