Upscaling of Solute Plumes in Periodic Porous Media Through a Trajectory‐Based Spatial Markov Model
Upscaling of Solute Plumes in Periodic Porous Media Through a Trajectory‐Based Spatial Markov Model
复制标题
通过基于轨迹的空间马尔可夫模型放大周期性多孔介质中的溶质羽流
作者：
Emanuela Bianchi Janetti;Thomas Sherman;G. Guédon;D. Bolster;G. Porta
我们提出了一种方法，在空间周期性多孔介质中的高档溶质运移。我们的方法依赖于孔隙尺度的信息来预测大尺度的传输特征，包括溶质羽流的显式重建，固定距离的突破曲线，以及横向于主流方向的空间扩散。所提出的方法基于最近提出的基于轨迹的空间马尔可夫模型（tSMM），该模型基于从穿过一个周期性元素的平流扩散粒子轨迹收集的信息来升级传输。在以前的工作中，该模型仅适用于单一周期性孔隙几何形状中的一维输运。在这项工作中，我们将tSMM扩展到多维溶质羽流的预测。这是通过分析与离散粒子相关的联合时空概率分布来获得的，如由tSMM产生的。通过比较数值结果从完全解决的模拟和预测得到的tSMM在很宽的范围内的Péclet数，我们表明，所提出的方法是适合于模拟保守的和线性衰减的溶质物种在一个现实的孔隙空间中的传输，并展示了该模型的适用性，以预测稳态溶质羽流。此外，我们评估模型的性能作为一个函数的数值参数中采用的tSMM参数化。
We propose an approach to upscale solute transport in spatially periodic porous media. Our methodology relies on pore‐scale information to predict large‐scale transport features, including explicit reconstruction of the solute plume, breakthrough curves at fixed distances, and spatial spreading transverse to the main flow direction. The proposed approach is grounded on the recently proposed trajectory‐based spatial Markov model (tSMM), which upscales transport based on information collected from advective‐diffusive particle trajectories across one periodic element. In previous works, this model has been applied solely to one‐dimensional transport in a single periodic pore geometry. In this work we extend the tSMM to the prediction of multidimensional solute plumes. This is obtained by analyzing the joint space‐time probability distribution associated with discrete particles, as yielded by the tSMM. By comparing numerical results from fully resolved simulations and predictions obtained with the tSMM over a wide range of Péclet numbers, we demonstrate that the proposed approach is suitable for modeling transport of conservative and linearly decaying solute species in a realistic pore space and showcase the applicability of the model to predict steady‐state solute plumes. Additionally, we evaluate the model performance as a function of numerical parameters employed in the tSMM parameterization.
DOI：
10.1029/2019jb018547
发表时间：
2020
期刊：
Journal of Geophysical Research: Solid Earth
影响因子：
--
作者：
Sherman, Thomas;Hyman, Jeffrey;Dentz, Marco;Bolster, Diogo
通讯作者：
Bolster, Diogo
影响因子：
5.4
作者：
J. Koch;Wolfgang Nowak
通讯作者：
J. Koch;Wolfgang Nowak