华南理工大学学报(自然科学版) ›› 2007, Vol. 35 ›› Issue (3): 150-154.

• 土木建筑工程 • 上一篇    

城区渗流场分析的奇异点子结构法

骆冠勇 曹洪 房营光   

  1. 华南理工大学 土木工程系,广东 广州 510640
  • 收稿日期:2006-03-23 出版日期:2007-03-25 发布日期:2007-03-25
  • 通信作者: 骆冠勇(1979-),男,博士生,主要从事岩土工程及渗流研究. E-mail:luogyong@126.com
  • 作者简介:骆冠勇(1979-),男,博士生,主要从事岩土工程及渗流研究.

Singular Point-Substructure Method for Analyzing Urban Seepage Field

Luo Guan-yong  Cao Hong  Fang Ying-guang   

  1. Dept. of Civil Engineering , South China Univ. of Tech , Guangzhou 510640 , Guangdong , China
  • Received:2006-03-23 Online:2007-03-25 Published:2007-03-25
  • Contact: 骆冠勇(1979-),男,博士生,主要从事岩土工程及渗流研究. E-mail:luogyong@126.com
  • About author:骆冠勇(1979-),男,博士生,主要从事岩土工程及渗流研究.

摘要: 为克服城区渗流场有限元分析中的困难,采用奇异点子结构法对渗流场中的阻水结构进行处理.首先用较粗的网格对计算区域进行划分,然后从整体网格中分离出包含阻水结构角点的网格,将其作为一个子结构进行处理.对分离出来的子结构,采用有限相似划分方式逐层进行网格加密,由内向外边层凝聚得到子结构的等效刚度矩阵和等效列向量.分析结果表明,奇异点子结构法避免了大区域中小尺寸物体的网格划分问题,其精度和效率与无限相似羊元法相当,且在处理入渗、潜水、多层透水层和悬挂式阻水结构等方面更为方便.

关键词: 城市地下水, 渗流, 子结构, 奇异点, 无限相似羊元法

Abstract:

In order to overcome the difficulty in the finite-element analysis of urban seepage field , a newly-devised singular point-substructure method is put forward to simplify the modeling of underground structures in the urban seepage field. In this method , first , the seepage field is meshed with sparse elements. Next , the elements sharing a singular point of an underground structure are extracted out as substructures. The extracted substructures are then refined layer by layer with similar elements. The equivalent stiffness matrixes and nodal vectors of the substructures are finally calculated via the static concentration from the inside to the outside layer by layer. Analytical results show that the proposed method can avoid the meshing of small-size structures in a large-scale region , and that it is of the same efficiency and accuracy as the infinite similar element method. Moreover , the proposed method is more convenient for the treatment of infiltration , phreatic water , multiple permeable layers and suspended underground structure.

Key words: urban groundwater, seepage, substructure, singular point, infinite similar element method