基于参数优化的非饱和尾矿砂渗流场解析解研究  

Analytical solution on seepage field of unsaturated tailing sand on basis of parameter optimization

作　　者：林雪松[1] 王东[2] 王来贵[3] 王永吉 李俊岑 LIN Xuesong;WANG Dong;WANG Laigui;WANG Yongji;LI Juncen(College of Science,Liaoning Technical University,Fuxin 123000,China;Department of Engineering,Fuxin Higher Training College,Fuxin 123000,China;School of Mechanics and Engineering,Liaoning Technical University,Fuxin 123000,China)

机构地区：[1]辽宁工程技术大学理学院,辽宁阜新123000 [2]阜新高等专科学校工程系,辽宁阜新123000 [3]辽宁工程技术大学力学与工程学院,辽宁阜新123000

出　　处：《水资源与水工程学报》2019年第5期204-208,共5页Journal of Water Resources and Water Engineering

基　　金：国家重点研发计划专项(2017YFC1503102);国家自然科学基金项目(51474121、51704142);辽宁省教育厅城市研究院项目(LJCL007);辽宁省百千万人才项目([2015]33号);辽宁省大学生创新创业计划训练项目(201810147034)

摘　　要：为研究渗流稳定后非饱和尾矿砂含水率的空间分布规律,从而为更准确的尾矿坝安全评估提供基础性资料,首先从非饱和渗流的Richards方程出发,在对方程形式和求解区域简化之后,通过解析的方法得到了含水率空间分布公式,公式具有无穷级数的形式。然后通过自行设计的仪器进行了尾矿砂二维非饱和渗流试验,得到了含水率在水平和竖直方向上的分布规律。试验结果表明:在两个方向上含水率的分布都近似服从指数函数。最后在结合测量数据的基础上利用混沌粒子群优化算法(CPSO)编制程序算出求解方程过程中引入的常数,并利用所得模型计算了测量点处的含水率。通过对比发现含水率理论值与实测值较为相近。In order to study water content spatial distribution law of unsaturated tailing sand when seepage arrives steady state and to provide more accurate basic materials for the safety evaluation of tailing dams,this article simplified the equation and solution of the Richards Equation of unsaturated seepage and obtained the spatial distribution of water content using analytical method,and the formula is in the form of infinite series.Then the two-dimensional tailing sand unsaturated seepage experiment was carried out using the instrument designed by the authors,and the water content distribution law of unsaturated tailing sand both in horizontal and vertical directions was obtained.The results showed that water content distribution in both directions matched a exponential function approximately.The unknown parameters which conducted during processing of solving equation were calculated by combining the chaotic particle swarm optimization(CPSO)and the experiment data,and water contents of measurement locations were calculated by the obtained model.By comparison,it is concluded that theoretical values obtained from calculation formula and measured values obtained from the experiment agreed well.

关 键 词：非饱和尾矿砂 渗流场 RICHARDS方程 参数优化 解析解 含水率分布 

分 类 号：TV649[水利工程—水利水电工程] TU43[建筑科学—岩土工程]