Length of 3‐D mixing‐controlled plumes for a fully penetrating contaminant source with finite width

Length of 3‐D mixing‐controlled plumes for a fully penetrating contaminant source with finite width
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DOI:
10.1029/2010wr009710
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发表时间:
2011-08
影响因子:
5.4
通讯作者:
R. Liedl;P. K. Yadav;P. Dietrich
R. Liedl;P. K. Yadav;P. Dietrich
中科院分区:
地球科学1区
文献类型:
--
作者:
R. Liedl;P. K. Yadav;P. Dietrich

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开发了一个分析 3D 模型来估计瞬时双分子反应情况下受污染含水层中的稳态羽流长度。开发的模型概括了 Liedl 等人之前的垂直二维模型。 (2005) 考虑了具有有限宽度 (2W) 并延伸到含水层整个深度 (M) 的源。结果表明,Liedl 等人的模型。如果源宽度低于某个最大相关源宽度 (2Wrel),(2005) 就会高估稳态羽流长度。结果还表明,水平和垂直方向上的总体横向色散率的比率对于定义羽流的大小至关重要,并且当 2W 和 M 对于任何高于 10 的比率近似相等时,观察到最大羽流长度。
An analytical 3‐D model is developed to estimate steady state plume lengths in contaminated aquifers for the case of an instantaneous bimolecular reaction. The developed model generalizes the previous vertically‐oriented 2‐D model of Liedl et al. (2005) by considering a source that has finite width (2W) and is extended over the entire depth (M) of the aquifer. It is shown that the model of Liedl et al. (2005) overestimates steady state plume lengths if the source width is below a certain maximum relevant source width (2Wrel). Results also suggest that the ratio of the bulk transverse dispersivities in the horizontal and vertical directions is critical in defining the size of the plume, and that the maximum plume length is observed when 2W and M are approximately equal for any ratio above 10.