An equivalent pipe network model for free surface flow in porous media |
| |
| Affiliation: | 1. School of Resource and Environmental Engineering, Wuhan University of Science and Technology, Wuhan, 430081, PR China;2. Hubei Key Laboratory for Efficient Utilization and Agglomeration of Metallurgic Mineral Resources, Wuhan University of Science and Technology, Wuhan 430081, PR China;3. Changjiang Survey, Planning, Design and Research Co., Ltd., Wuhan 430010, PR China;1. Faculty of Civil Engineering, HCMC University of Technology and Education, Vietnam;2. Institute of Theoretical and Applied Research, Duy Tan University, Hanoi 100000, Vietnam;3. Faculty of Civil Engineering, Duy Tan University, Danang 550000, Vietnam;4. Graduate University of Science and Technology, VAST, Vietnam;5. Faculty of Mathematics, Mechanics and Informatics, Hanoi University of Science, Vietnam;6. School of Mechanical Engineering, Changwon National University, South Korea;7. Department of Civil and Environmental Engineering, Tokyo Institute of Technology, Japan;1. Department of Civil and Environmental Engineering, Faculty of Engineering, University of Lagos, 100213, Nigeria;2. Department of Mechanical Engineering, Faculty of Engineering, University of Lagos, 100213, Nigeria;1. College of Science, China Agricultural University, Beijing 100083, China;2. College of Engineering and Computer Science, Australian National University, Canberra, ACT 2601, Australia;3. School of Civil and Resource Engineering, University of Science and Technology Beijing, Beijing 100083, China;1. LAMAI, FST Marrakech, Université Cadi Ayyad Marrakech, Morocco;2. LIPOSI, ENSA Khouribga, Université Sultan Moulay Slimane, Morocco;3. LMA FST Béni-Mellal, Université Sultan Moulay Slimane, Morocco |
| |
| Abstract: | Free surface flow analysis in porous media is challenging in many practical applications with strong non-linearity. An equivalent pipe network model is proposed for the simulation and evaluation of free surface flow in porous media. On the basis of representative elementary volume with homogeneous pore-scale patterns, the pore space of the homogeneous isotropic porous media is conceptualized as a collection of capillary tubes. According to Hagen-Poiseulle's law and flux equivalence principle, equivalent hydraulic parameters and unified governing formulations for the pipe network model are deduced. The two-dimensional free surface flow problem is reduced to a one-dimensional problem of pipe networks and a one-dimensional procedure based on the finite element method is then developed by introducing a continuous penalized Heaviside function. The proposed equivalent pipe network model is verified with results from numerical solutions and laboratory-measured data available in the literature, and good agreements are obtained. The proposed equivalent pipe network model is shown to be effective in analyzing the free surface flow in porous media. The numerical results also indicate that the proposed equivalent pipe network model has weak sensitivity of the mesh size and penalty parameters. |
| |
| Keywords: | |
| 本文献已被 ScienceDirect 等数据库收录！ |
|
