Mixing in Multidimensional Porous Media: A Numerical Study of the Effects of Source Configuration and Heterogeneity
Mixing in Multidimensional Porous Media: A Numerical Study of the Effects of Source Configuration and Heterogeneity
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多维多孔介质中的混合：源配置和异质性影响的数值研究
DOI：
10.1007/s11242-022-01822-3
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发表时间：
2023
影响因子：
2.7
通讯作者：
de Barros, Felipe P.
中科院分区：
文献类型：
--
作者：
Bonazzi, Alessandra;Dentz, Marco;de Barros, Felipe P.
我们研究了以空间可变水力传导率为特征的多维多孔介质中惰性溶质的传输。通过使用基于随机游走粒子跟踪技术的 GPU 加速溶质传输模拟器，我们展示了不同因素（例如异质性程度、流动维度和源区配置）如何影响混合。溶质混合根据羽流统计数据（平均值、方差和概率密度函数）和稀释指数的时间演变进行量化。我们的分析表明，混合受到上述因素的强烈影响。我们还将数值模拟获得的概率分布与 beta 分布进行比较。尽管在非常低的浓度下存在差异，但我们的结果表明，对于源自垂直平面源的三维环境中的传输，与 β 分布的拟合得到了改进。为了改善低浓度下的拟合，我们利用两个一对一的变量变换，即对数和幂律变换。结果表明，帕累托 IV 型和均匀分布能够捕获累积分布函数的下尾部。数值结果针对均质和异质介质的现有分析解决方案进行了验证。
We investigate transport of an inert solute in multidimensional porous media characterized by spatially variable hydraulic conductivity. Through the use of a GPU-accelerated solute transport simulator based on the Random Walk Particle Tracking technique, we show how different factors such as the degree of heterogeneity, flow dimensionality and source zone configurations impact mixing. Solute mixing is quantified in terms of the temporal evolution of the plume’s statistics (mean, variance and probability density function) and the dilution index. Our analysis show that mixing is strongly affected by the above mentioned factors. We also compare the probability distributions obtained from the numerical simulations with the beta distribution. Despite the discrepancies at very low concentrations, our results show that the fitting with the beta distribution is improved for transport in three-dimensional settings originating from a vertical planar source. To improve the fit at low concentrations, we utilize two one-to-one variable transformation, namely the logarithm and power law transformations. Results demonstrate that the Pareto-type IV and the uniform distributions are capable to capture the lower tail of the cumulative distribution function. Numerical results are validated against existing analytical solution for both homogeneous and heterogeneous media.
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DOI：
10.1016/j.ijheatmasstransfer.2021.122244
发表时间：
2022
影响因子：
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作者：
de Barros, Felipe P.J.;Guadagnini, Alberto;Riva, Monica
通讯作者：
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