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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·
With the rapid development of economic construction, a great deal of various underground works have been added, such as the foundation of dams and high-rise buildings, subways and tunnels, water wells and oil wells, etc. Permeation in medium is often an important issue to be considered by engineering units. She Ying Wo In the Applied Mathematics and Mechanics, Volume 17, Issue 6, a variational inequality model and a finite element solution for a steady state seepage with a free boundary have been given. In this paper, taking a pumping well as an example, the unsteady seepage flow The problem of variational inequalities and its finite element method • The results show that for unsteady seepage problems, this method also avoids the traditional free-boundary iterative process and provides convenience for simple and fast numerical analysis