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非饱和流节点间导水率估计及达西平均分析
引用本文:裴元生,王金生,田朝晖,崔鹏.非饱和流节点间导水率估计及达西平均分析[J].水科学进展,2006,17(2):216-221.
作者姓名:裴元生  王金生  田朝晖  崔鹏
作者单位:1.北京师范大学环境学院, 北京, 100875;
基金项目:国家科技攻关项目;博士后科学基金
摘    要:针对由Gardner-Russo函数描述的特征土壤,在双饱和度坐标系中,探讨了常规节点间导水率估计与量纲一水平达西平均(k*H)和量纲一垂直达西平均(k*V)的差异.k*H是相邻两节点饱和度的函数,而k*V也是空间步长(Δx)和特征参数(α)的函数.对水平非饱和流,算术平均高估导水率,而几何与调和平均低估导水率;从相对误差空间分布看,几何平均优于算术和调和平均.对垂直非饱和流,随Δx(或α)的增大,常规估计的相对误差空间顺(或逆)时针旋转并缩小,从而降低模型准确性.k*H等值线具有对称性,而k*V不具对称性;仅当Δx或α足够小时,k*H才趋近于k*V.因此,为提高非饱和流数值模拟的准确性,必须采用精确的达西平均来计算节点间导水率.

关 键 词:非饱和流    节点间导水率    达西定律    达西平均    饱和度
文章编号:1001-6791(2006)02-0216-06
收稿时间:2004-10-29
修稿时间:2005-03-10

Estimations of interblock conductivity and darcian means in unsaturated flow
PEI Yuan-sheng,WANG Jin-sheng,TIAN Zhao-hui,CUI Peng.Estimations of interblock conductivity and darcian means in unsaturated flow[J].Advances in Water Science,2006,17(2):216-221.
Authors:PEI Yuan-sheng  WANG Jin-sheng  TIAN Zhao-hui  CUI Peng
Institution:1.School of Environment, Beijing Normal University, Beijing 100875, China;2.Institute of Mountain Hazards and Environment, Chinese Academy of Sciences, Chengdu 610041, China
Abstract:For the soils described by the Gardner-Russo retention function,the differences between standard estimations of interblock conductivity and the dimensionless horizontal Darcian means(k*H are symmetrical but those of k*H approaches k*V only when both △x and are small enough Therefore,it is rather essential to adopt Darcian means instead of the standard estimation of the unsaturated flow simulation.
Keywords:unsaturated flow  interblock conductivity  Darcy's Law  Darcian means  saturation  
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