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Deriving analytical solutions for tide-induced groundwater fluctuations in unconfined aquifers confronts two problems: (1) As the Boussinesq equation itself contains nonlinear terms, the "secular term" would be generated in derivation, thus making perturbation solution unable to be deduced to higher order; (2) for aquifers with sloping beaches, the perturbation parameter in existing analytical solution integrating the beach slope and hydrogeological property would be sometimes larger than 1. So the application of perturbation solutions is relatively limited. Furthermore, as the beach slope decreases, the error of analytical solution would gradually increase. Given that water table over-height would increase the aquifer thickness and speed up wave propagation, this paper integrates over-height into the perturbation parameter and adjusts boundary conditions to settle the problem of "secular term" and to derive a new high-order analytical solution for nonlinear Boussinesq equation in terms of sloping beaches. Results show that the new analytical solution is more reasonable, and the analytical accuracy is obviously improved in comparison with the existing analytical solution for a gentle slope. The new analytical solution provides a theoretical basis for analyzing the propagation characteristics (e.g., wave length and over-height variation) of tide-induced groundwater wave in unconfined aquifers, particularly those with sloping beaches. 相似文献
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为更好地保护沿海水环境和水生态功能，亟需探究陆源溶质在滨海分层含水层中的迁移机制。构建二维分层含水层数值模型，采用地下水软件SUTRA-MS模拟分析潮汐作用下陆源溶质在分层含水层中的运移特征。结果表明：(1)与均质含水层相比，弱透水层的存在会延长溶质在含水层中的滞留时间、增大溶质最大扩散面积、削弱溶质在水平方向和垂直方向的扩散程度；(2)弱透水层能够降低陆源溶质向海水排放的最大通量，并且延长溶质排放的持续时间；(3)溶质扩散面积、弱透水层中溶质残余量、水平和垂向扩散程度等对弱透水层水力传导系数和厚度的敏感性优于弱透水层深度。 相似文献
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