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渗流场有限元计算中排水井的处理方法 被引量:1

Treating drainage well boundary in seepage field calculation by finite element method
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摘要 应用有限元计算设有排水井的渗流场时,为便于与单元衔接和减少单元数量,须对排水井做某些计算上的处理。列出了两种处理方法:一是转化为等效的多边形井,以便于与邻井单元衔接;二是沿用李祖贻等于1984年提出的转化为等效的n个含井单元,但改进了其对四面体含井单元流量计算中的一面积系数,从1/4提升为1/3。算例均先求出其理论解,以便和井不同处理方法的计算结果比较,可据以选择最佳的井处理方法和估算其误差大小。 When using the finite-element method to calculate the seepage fields with drainage wells, we adjusted the well boundary to reduce the total unit number and improve the element adjacency. Two methods were examined in this paper, one is to transform the circular well into an equivalent regular polygon, another is to transform one well into equivalent multiple n well elements possessing different permeability coefficients but same effects. The second method was first raised by Li Zu-yi (1984). For the well's elements with tetrahedral shape, according to theoretical analysis, the reduced coefficient of areas from which flow quantity is calculated, is raised from 1/4 suggested by Li Zu-yi to 1/3 in this paper. The numerical solutions of all examples calculated by different well's treating methods are compared with the theoretical results. By doing this the data may be chosen with better performance and less bias.
出处 《岩土力学》 EI CAS CSCD 北大核心 2011年第7期2162-2170,共9页 Rock and Soil Mechanics
关键词 渗流 排水井 有限元 seepage drainage wells finite elements
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参考文献4

  • 1关锦荷 刘嘉炘 朱玉侠.用排水沟代替排水井列的有限单元法分析.水利学报,1984,(9):10-18.
  • 2李祖贻 陈平.有限单元法计算井的渗流对奇异点的处理.水利学报,1984,:41-50.
  • 3毛昶熙,周保中、沙金煊等.渗流分析计算与控制[M].北京:水利电力出版社,1990.
  • 4吴世余,李宏.均质各向异性土层中轴对称渗流问题的分析[J].岩土工程学报,2008,30(4):581-583. 被引量:6

二级参考文献1

  • 1波卢巴里诺娃.可钦娜Ⅱ.H.地下水运动原理[M].肖楠森,等译.北京:地质出版社.1957:554-558.

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