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循环抽水越流承压含水层水位变化与变形分析
引用本文:王玉林,谢康和,王坤,杜建华,卢萌盟.循环抽水越流承压含水层水位变化与变形分析[J].地下空间与工程学报,2010,6(5).
作者姓名:王玉林  谢康和  王坤  杜建华  卢萌盟
作者单位:浙江大学软弱土与环境土工教育部重点实验室;武夷学院土木工程系;石家庄铁路职业技术学院交通系;中国矿业大学深部岩土力学与地下工程国家重点实验室;
基金项目:浙江省自然科学基金重点项目,教育部高校博士点专项基金
摘    要:建立了越流承压含水层在循环抽水的地下水运动数学模型,用Heaviside函数性质及Laplace变换求解得该数学模型关于承压含水层水位变化的解析表达式,进而求得承压层压缩变形。通过数学软件Mahtematica对算例进行了计算和分析,结果表明:承压含水层水位恢复存在滞后性,阻越流系数B越小水位恢复的滞后性越小,并且抽水引起的承压含水层水位下降量也越小,因而引起的承压含水层弹性压缩变形也越小;承压含水层以幅值Q0的循环抽水对应的水位降-时间曲线围绕恒定抽水t1Q0/T曲线上下波动,并呈上升趋势;距抽水井越远处的水位受到抽水循环反复作用的影响越不明显,较远处循环抽水水位降深-时间曲线与t1Q0/T曲线重合。

关 键 词:Heaviside函数  Laplace变换  阻越流系数  承压含水层  弱透水层  循环抽水模型

Drawdown of Underground Water and Compact of the Leakage Confined Aquifer due to Cyclic Pumping
Wang Yulin,Xie Kanghe,Wang Kun,Du Jianhua,Lu Mengmeng.Drawdown of Underground Water and Compact of the Leakage Confined Aquifer due to Cyclic Pumping[J].Chinese Journal of Underground Space and Engineering,2010,6(5).
Authors:Wang Yulin  Xie Kanghe  Wang Kun  Du Jianhua  Lu Mengmeng
Affiliation:Wang Yulin1,2,Xie Kanghe1,Wang Kun1,Lu Mengmeng1 (1.MOE Key Laboratory of Soft Soils and Geoenvironmental Engineering,Zhejiang University,Hangzhou 310027,China,2.Wuyi University,Wuyishan,Fujian 354300,3.Department of Traffic Engineering,Shijiazhuang Railway Vocational College,Shijiazhuang 050041,4.State Key Laboratory for Geomechanics and Deep Underground Engineering,China University of Mining and Technology,Xuzhou,Jiangsu 221008,China)
Abstract:The mathematical models of groundwater movement in leakage confined aquifer due to cyclic water pumping are presented,and the analytical solutions of the models are obtained by making use of the properties of Heaviside's unit function and Laplace Transformation.By software Mathematica,the computational samples are given to analyze the change of water drawdown of the confined aquifer and its influential factors under cyclic pumping.The results show that:the recovery of hydraulic head has hysteretic character...
Keywords:Heaviside unit function  Laplace Transformation  leakage factor  aquifer  aquitard  cyclic pumping  
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