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多尺度有限元法在地下水拟三维数
引用本文:林琳,杨金忠,方跃骏,史良胜,王丽颖.多尺度有限元法在地下水拟三维数[J].中国农村水利水电,2005,0(12):10-12.
作者姓名:林琳  杨金忠  方跃骏  史良胜  王丽颖
作者单位:1. 水资源与水电工程科学国家重点实验室,武汉大学,武汉,430072
2. 上海市水利排灌管理处,200011
基金项目:国家自然科学基金资助项目(50379042,50239090)
摘    要:建立基于多尺度有限单元法的拟三维数学模型,模拟非均质多孔介质中的三维地下水流问题。根据多孔介质中区域饱和-非 饱和水分运动的特征,将三维流动转化为拟三维流动模型。对参数水平方向渐变的非均质多孔介质中的三维地下水流用多尺度有限单元法和传统等参有限单元法进行了计算,结果表明在模拟非均质多孔介质中的三维地下水流问题时,多尺度有限单元法比传统有限单元法有效,既节省计算量又有较高的精度。

关 键 词:多尺度有限单元法  非均质  多孔介质  拟三维模型
文章编号:1007-2284(2005)12-0010-03
修稿时间:2005年4月8日

Application of Multi-scale Finite Element Method in Quasi Three-dimensional Simulation of Groundwater Flow
LIN Lin,YANG Jin-zhong,FAN Yue-jun,SHI Liang-sheng,WANG Li-ying.Application of Multi-scale Finite Element Method in Quasi Three-dimensional Simulation of Groundwater Flow[J].China Rural Water and Hydropower,2005,0(12):10-12.
Authors:LIN Lin  YANG Jin-zhong  FAN Yue-jun  SHI Liang-sheng  WANG Li-ying
Institution:LIN Lin~1,YANG Jin-zhong~1,FAN Yue-jun,SHI Liang-sheng~1,WANG Li-ying~1
Abstract:The multi-scale finite element method is applied in the 3-D groundwater flow simulation problems in heterogeneous porous media.Based on the pattern of water flow in large scale unsaturated and saturated zones,the 3-D groundwater flow is studied with a quasi 3-D model.The 3-D groundwater flow of heterogeneous porous media with gradual parameter variance in the horizontal direction is simulated by the multi-scale finite element method and traditional FEM.The calculation results show that the proposed method is better than the traditional FEM not only in calculation speed but also in accuracy for the simulation of the 3-D groundwater flow of heterogeneous porous media.
Keywords:multi-scale finite element method  heterogeneous  porous media  quasi three-dimensional model
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