Sun Ying, Guo Xiaoming, She Yinghe. Free Boundary Problem of Non-Steady State Seepage Flow[J]. Applied Mathematics and Mechanics, 1999, 20(7): 756-760.
 Citation: Sun Ying, Guo Xiaoming, She Yinghe. Free Boundary Problem of Non-Steady State Seepage Flow[J]. Applied Mathematics and Mechanics, 1999, 20(7): 756-760.

# Free Boundary Problem of Non-Steady State Seepage Flow

• Rev Recd Date: 1999-04-07
• Publish Date: 1999-07-15
• 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.
•  [1] Huang S, Zhou C. Numerical solution of non-steady state porous flow free boundary problems[J]．Journal of Computational Mathematics,1985,3(1):72～89. [2] Torelli A. On a free boundary value problem connected with a non-steady filtration phenomenon[J].Ann Scu Norm Sup Prsa,1977,4(1):33～59. [3] 张柔雷,佘颍禾.用变步长有限元法求解暂态温度场[J].南京工学院学报,1984,14(2):1～10． [4] 佘颍禾,孙鹰,郭小明.具有自由边界的二维渗流问题[J].应用数学和力学,1996,17(6):523～527.

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