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Asymptotic Behavior of Mass Transfer for Solute Transport Through Stratified Porous Medium

机译：通过层状多孔介质进行溶质运移的传质的渐近行为

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摘要

This study proposed an asymptotic relation to estimate the first-order mass transfer in multiprocess non-equilibrium model (MPNE) for solute transport through stratified porous media. The applicability of the proposed relation was tested with concentration data of reactive and non-reactive solutes through stratified porous media under the different hydraulic gradients. Semi-analytical solution of MPNE transport equation incorporating scale-dependent dispersivity was employed for simulating experimental breakthrough curves. MPNE transport model with scale-dependent dispersivity and constant mass transfer coefficient underestimated the solute mass at observation points. MPNE with constant and asymptotic mass transfer coefficient was then compared, and it was found that experimental breakthrough curves with the proposed relation were better simulated. The study concluded that averaging the mass transfer coefficient over higher scale and applied to a lower scale of observation, or vice-versa, will attribute to the scale dependent behavior. The skewed shape of breakthrough curve was also discussed in details, and it was found that immobile liquid phase was contributing to the prolonged tail concentration. This study further enhances the simulation and prediction capabilities of MPNE for large stratified aquifers.
机译：这项研究提出了一种渐近关系，以估计在多过程非平衡模型（MPNE）中通过层状多孔介质进行溶质运移的一阶传质。在不同水力梯度下，通过分层多孔介质中反应性和非反应性溶质的浓度数据，测试了所建议关系的适用性。采用MPNE输运方程的半解析解，并结合了与比例有关的分散性，以模拟实验突破曲线。具有比例依赖的分散性和恒定的传质系数的MPNE输运模型低估了观察点的溶质质量。然后比较了具有恒定和渐近传质系数的MPNE，发现具有建议关系的实验穿透曲线得到了更好的模拟。该研究得出的结论是，将较高尺度上的传质系数取平均值并应用于较低尺度的观察值，反之亦然，这将归因于尺度相关的行为。还详细讨论了突破曲线的偏斜形状，发现固定的液相有助于延长尾巴浓度。这项研究进一步增强了MPNE对大型分层含水层的模拟和预测能力。

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