Quantitative characterization of pore-scale disorder effects on transport in "homogeneous" granular media
Quantitative characterization of pore-scale disorder effects on transport in "homogeneous" granular media
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DOI：
10.1103/physreve.70.041108
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发表时间：
2004-10-01
影响因子：
2.4
通讯作者：
Berkowitz, B
中科院分区：
文献类型：
--
作者：
Cortis, A;Chen, YJ;Berkowitz, B
穿透曲线（BTC）的被动示踪剂在宏观上均匀的颗粒材料（分选良好，松散的砂或玻璃珠）进行了测量在一系列的柱实验。早期和晚期到达时间观察到系统不同的对流扩散方程的均匀多孔介质的解决方案的基础上的理论预测。我们建议，在多孔介质中的细微和残留的孔隙尺度的无序效应可以解释这些意见。我们确定了粒子传输速率的整体平均分布（基于包含这些效应的局部通量平均浓度的主方程），并利用它来计算与整个系列观测结果非常一致的BTC。理论预测的依赖性的有效宏观参数的可测量的数量也是在极好的协议与观察。
Breakthrough curves (BTC) of a passive tracer in macroscopically homogeneous granular materials (well-sorted, unconsolidated sands or glass beads) were measured in a series of column experiments. The early and late arrival times are observed to differ systematically from theoretical predictions based on solution of the advective-dispersion equation for uniform porous media. We propose that subtle and residual pore-scale disorder effects in the porous media can account for these observations. We determine an ensemble-averaged distribution of particle transfer rates (based on a master equation for the local flux-averaged concentration which incorporates these effects, and utilize it to calculate BTC that are in excellent agreement with the entire series of observations. Theoretical prediction of the dependence of the effective macroscopic parameters on measurable quantities is also in excellent agreement with the observations.