非稳态渗流的自由边界问题  

Free Boundary Problem of Non_Steady State Seepage Flow

作　　者：孙鹰[1,2] 郭小明[1,2] 佘颖禾 

机构地区：[1]工程兵工程学院 [2]东南大学

出　　处：《应用数学和力学》1999年第7期756-760,共5页Applied Mathematics and Mechanics

摘　　要：随着经济建设的高速发展，各种地下工程大量增加，如水坝和高层建筑的基础、地铁和隧道、水井和油井等·那里，介质中的渗流现象往往是工程单位需要考虑的重要问题·佘颖禾等在《应用数学和力学》第１７卷６期中曾经给出了具有自由边界的稳态渗流的变分不等式模式及有限元解·本文中，以抽水井为例，进一步研究了非稳态渗流问题的变分不等式模式及其有限元解法·结果表明，对于非稳态的渗流问题，这种方法同样能避免传统的自由边界的迭代过程，为简单而快速地进行数值分析提供方便·Along with the vigorous developing construction, the number of various underground engineerings is greatly increasing, such as the foundations of dams and high_rise dmultistored hauses, the subways and the tunnels, the water and oil wells etc., where the close attention is always paid to the seepage behaviour in the media around the structures. In Appl. Math Mech. 1996,17(6), the variational inequality formulation and its FEM solution for the free boundary problem of 2D steady state seepage flow was given by She Yinghe et al. In this paper a further investigation is made on the non_steady state seepage problem, by taking the seepage flow of wells as an example. The presented approach variational inequality and its FEM solution is also very beneficial to the non_steady state problems, where the transient free boundary can also be defined directly without conventional iterations.

关 键 词：渗流 非稳态 变分不等式 自由边界问题 

分 类 号：O357.3[理学—流体力学]