A semi‐analytical solution for groundwater responses to stream‐stage variations and tidal fluctuations in a coastal aquifer
A semi‐analytical solution for groundwater responses to stream‐stage variations and tidal fluctuations in a coastal aquifer
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DOI：
10.1002/hyp.6255
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发表时间：
2007-02
影响因子：
3.2
通讯作者：
Kue‐Young Kim;Taehee Kim;Yongje Kim;N. Woo
中科院分区：
文献类型：
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作者：
Kue‐Young Kim;Taehee Kim;Yongje Kim;N. Woo
提出了一种分析地下水位对潮汐作用响应的沿海含水层中河流-含水层相互作用的二维半解析解。所考虑的概念模型是一个二维地下系统，河流和海岸线边界成直角。通过连续应用拉普拉斯变换和傅里叶变换技术，求解含水层水位的有维和无维边值问题，并通过对变换后的解进行数值反演得到结果。然后通过将解简化为一维已知问题并将结果与以前的研究结果进行比较来验证该解决方案。通过算例分析了由于河流水位变化和潮汐水位波动引起的水位变化特征。敏感性分析表明，河床渗漏量对地下水波动幅度没有影响，但水位的影响随着渗漏量的增加而增加。不同含水层渗透率的水位差异不大，河道宽度较窄。河床渗漏的增加导致含水层渗透对水位的影响增加。比产率值的增加导致水位波动和平均水位的幅度减小，表明由于河流和潮汐边界引起的水位变化对比产率敏感。版权所有© 2006约翰威利父子有限公司。
A two‐dimensional semi‐analytical solution to analyse stream–aquifer interactions in a coastal aquifer where groundwater level responds to tidal effects is presented. The conceptual model considered is a two‐dimensional subsurface system with stream and coastline boundaries at right angles. The dimensional and non‐dimensional boundary value problems were solved for water level in the aquifer by successive application of Laplace and Fourier transform techniques, and the results were obtained by numerical inversion of the transformed solution. The solution was then verified by reducing the solutions to one‐dimensional known problems and comparing the results with those from previous studies. Hypothetical examples were used to examine the characteristics of water‐level variations due to the variations in stream stage and the fluctuations in tide level. Sensitivity analysis indicated that streambed leakance has no influence over the amplitude of groundwater fluctuations, but that the effect of stream stage increases with increasing leakance. Little difference was observed in the water level for different aquifer penetration ratios with narrow stream width. Increases in streambed leakance caused increases in the effect of aquifer penetration by the stream on the water level. An increased specific yield value resulted in decreased amplitude of water fluctuations and mean water level, and showed that water‐level variations due to stream and tidal boundaries are sensitive to specific yield. Copyright © 2006 John Wiley & Sons, Ltd.