未穿透覆盖层的自流井渗流模型与解析解  

Mathematical Model and Analytical Solution for Flow in Confined Aquifer due to Groundwater Permeating through Bottom of Pumping Well in Overlying Aquiclude

作　　者：王玉林 谢康和[3] 李传勋[4] Wang Yulin;Xie Kanghe;Li Chunxun(College of Civil Engineering and Architecture,Wuyi University,Wuyishan,Fujian 354300,P.R.China;Engineering Research Center of Prevention and Control of Geological Hazards in Mountainous Areas of Northern Fujian Province,Wuyishan,Fujian 354300,P.R.China;Research Center of Coastal and Urban Geotechnical Engineering,Zhejiang University,Hangzhou 310027,P.R.China;Faculty of Civil Engineering and Mechanics,Jiangsu University,Zhenjiang,Jiangsu 212013,P.R.China)

机构地区：[1]武夷学院土木工程与建筑学院,福建武夷山354300 [2]闽北山地地质灾害防治福建省高校工程研究中心,福建武夷山354300 [3]浙江大学滨海和城市岩土工程研究中心,杭州310027 [4]江苏大学土木工程与力学学院,江苏镇江212013

出　　处：《地下空间与工程学报》2020年第2期439-444,共6页Chinese Journal of Underground Space and Engineering

基　　金：福建省高校新世纪优秀人才支持计划(闽教科[2016]23号);福建省自然科学基金(2019J01060795);浙江省自然科学基金(Z5080175);武夷学院青年博士团队项目。

摘　　要：针对未打穿覆盖层的泉水井抽水引起下卧承压地下水渗流问题建立了数学模型,应用Laplace-Hankel变换及其逆变换求解得到定水头边界条件下承压层水头降的解析解。通过算例分析了承压含水层水头降发展和分布规律以及影响因素,结果表明:阻越流系数对承压含水层的水头降速率和幅度均有明显的影响,阻越流系数越小,承压水头下降的速率和幅度值都越小,且水头降越快达到最大值和稳定流状态;靠近承压含水层顶面水头降最大,随着深度增加而减小,距井越近水头降沿厚度分布越不均匀;承压含水层各向异性对抽水引起的水头降影响较大,Kr/Kv越小承压水头下降的速率和幅度均越大;承压含水层的宽度和厚度均对水头降有很大影响,宽度越大,水头降越明显,而厚度越大,水头降越小。A mathematical model is developed to study flow in confined aquifer due to groundwater permeating through bottom of pumping well installed in overlying aquiclude.And Laplace-Hankel transforms and responding reverse transforms are applied to attain the analytical solution.By numerical examples,the change and spacial distribution of drawdown in confined aquifer are analyzed.The results show that:the resistance coefficient of leakage obviously affects the rate and amplitude of drawdown,that is,larger the resistance coefficient of leakage is,smaller the rate and amplitude of drawdown is,and faster the maximum drawdown and steady state will reach.The distribution of drawdown is nonuniform,which decreases from top to bottom of confined aquifer and the distribution of drawdown will be more nonuniform with increase of distance to pumping well.The anisotropic property has a considerably effect on drawdown,the rate and amplitude of drawdown increases with decrease of Kr/Kv.Finally,the width and thickness influence the drawdown,that is,the increase of width leads to the increase of drawdown,but the increase of thickness leads to the decrease of drawdown.

关 键 词：覆盖层 自流井 解析解 承压含水层 径流 

分 类 号：TV133.2[水利工程—水力学及河流动力学] TU46[建筑科学—结构工程]