Seepage mechanics algorithm of water exchange between channel and phreatic aquifer

Journal Information

J. Hefei Univ. Tech. (Nat. Sci.), Jun. 2026, Vol. 49 No. 6: 837-841

DOI: 10.3969/j.issn.1003-5060.2026.06.017

Authors

CHEN Kun $ ^{1,2} $, KANG Bo $ ^{3} $, ZHANG Yameng $ ^{1} $, LI Yanjun $ ^{1} $, TAO Yuezan $ ^{1} $

(1. School of Civil and Hydraulic Engineering, Hefei University of Technology, Hefei 230009, China; 2. Anhui Survey and Design Institute of Water Resources and Hydropower Co., Ltd., Hefei 230088, China; 3. School of Resources and Environmental Engineering, Hefei University of Technology, Hefei 230009, China)

Abstract and Keywords

Abstract: Groundwater seepage mechanics model is an important method to calculate the water exchange between surface water and groundwater. An analytical solution of the one-dimensional unsteady seepage flow model near the boundary of a river channel is given by Laplace transform. Based on the solution and Darcy's law, a calculation method of water exchange intensity $ q(t) $ between channel and phreatic aquifer is established. $ q(t) $ is equal to the superposition of the independent water exchange intensity $ q_{H}(t) $ of the channel level variation H and $ q_{\epsilon}(t) $ of the diving vertical recharge intensity $ \epsilon $. According to the analytical formula of $ q(t) $, the influence of $ \epsilon $ on $ q(t) $ under different combination conditions of the channel level variation and vertical recharge is discussed. Under certain conditions, $ q_{\epsilon}(t) $ can lead to the transformation of $ q(t) $ exchange properties. The analytical method of aquifer dynamics has clear mathematical meaning, and the required data mainly consist of the dynamic monitoring data of channel and groundwater levels that are readily available, and the practical application is simple and convenient.

Keywords: channel; phreatic water; water exchange; Laplace transform; analytical solution

作者信息

陈坤 $ ^{1,2} $，康博 $ ^{3} $，张雅梦 $ ^{1} $，李彦鋆 $ ^{1} $，陶月赞 $ ^{1} $

（1. 合肥工业大学土木与水利工程学院，安徽合肥 230009；2. 安徽省水利水电勘测设计研究总院股份有限公司，安徽合肥 230088；3. 合肥工业大学资源与环境工程学院，安徽合肥 230009）

摘要和关键词

摘要: 地下水渗流力学模型是地表水与地下水之间水量交换计算的重要方法。文章基于河渠边界附近潜水一维非稳定渗流模型，利用Laplace变换给出解析解；依据解，结合Darcy定律建立河渠与潜水含水层之间水量交换强度 $ q(t) $的计算法。 $ q(t) $等于河渠水位变动H独立的水量交换强度 $ q_{H}(t) $与潜水垂向补给强度 $ \varepsilon $的 $ q_{\varepsilon}(t) $的叠加；依据 $ q(t) $的解析式，探讨不同的河渠水位变动与垂向补给组合条件下， $ \varepsilon $对 $ q(t) $的影响规律；在特定条件下， $ q_{\varepsilon}(t) $可导致 $ q(t) $交换性质的转化。河渠与潜水含水层水量交换的渗流力学算法，数理意义清晰，所需资料主要是较容易获得的河渠水位和地下水水位动态监测数据，实际应用简单、方便。

关键词: 河渠；潜水；水量交换；Laplace变换；解析解

Funding

安徽省重点研究与开发计划资助项目（202104g01020010）

合肥工业大学学报(自然科学版)

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