This study consider the development of three dimensional analytical solutions for contaminant transport induced by a pumping well near a stream. The solutions were derived for both line-width and finite-width streams based on Green’s function approach. These solutions were implemented in an aquifer that was partially penetrated by the stream and were general enough to be applied to both unconfined and confined aquifers. The analytical solutions were checked to show the effect of stream width, leakance coefficient, distance from the river edge to pumping well and pumping rate on contaminant concentration. Generally, it was found that higher values of these parameters increased the contamination in the well area for both line and finite width stream. The graphical representation of the analytical solution shows that the contaminants attenuated vertically along z axis as well as horizontally along × axis. The finite width model produced more realistic estimate for the distribution of contaminants due to the effect of river width. In particular, the results shows higher contamination near the stream for finite width model. However, this impact of river width on contaminant concentration appear to be neglected if the distance between river and pumping well was more than twice the stream width.

这项研究考虑了三维分析解决方案的开发，该解决方案用于在溪流附近抽水引起的污染物迁移。基于格林函数方法，针对线宽和有限宽度流导出了解决方案。这些解决方案是在部分被水流渗透的含水层中实施的，并且普遍适用于无限制和受限的含水层。检查分析溶液以显示水流宽度，泄漏系数，从河沿到抽水井的距离以及抽水速率对污染物浓度的影响。通常，发现这些参数的较高值会增加管线和有限宽度流的井区污染。z轴以及沿x 轴的水平 方向。由于河流宽度的影响，有限宽度模型对污染物的分布产生了更实际的估计。特别是，结果表明，对于有限宽度模型，流附近的污染较高。但是，如果河流和抽水井之间的距离大于河流宽度的两倍，那么河流宽度对污染物浓度的影响似乎可以忽略。