A variational inequality formulation for unconfined seepage problems in porous media | |
Zheng, Hong; Dai, Hui Chao; Liu, De Fu | |
刊名 | APPLIED MATHEMATICAL MODELLING |
2009 | |
卷号 | 33期号:1页码:437-450 |
关键词 | Free Boundary Problems Seepage Variational Inequality Finite Element Analysis |
ISSN号 | 0307-904X |
DOI | 10.1016/j.apm.2007.11.012 |
英文摘要 | In the existing variational inequality formulations for the unconfined seepage problem in porous media, the seepage point, namely the exit point of the free surface, is a singular point and how to locate the seepage point exactly has been an open issue. By generalizing Darcy's law applied solely to the saturated zone in an earth dam to the entire dam including the no-flow zone, a new variational inequality formulation is presented. The new formulation imposes a boundary condition of Signorini's type on the potential seepage boundary and the seepage point turns out to be such a point that makes both inequalities in Signorini's complementary condition become equalities. Singularity of the seepage point is accordingly eliminated. A strategy is developed for overcoming the mesh-dependency in the finite element implementation. (C) 2007 Published by Elsevier Inc. |
WOS研究方向 | Engineering ; Mathematics ; Mechanics |
语种 | 英语 |
出版者 | ELSEVIER SCIENCE INC |
WOS记录号 | WOS:000260267600031 |
内容类型 | 期刊论文 |
源URL | [http://119.78.100.198/handle/2S6PX9GI/3193] |
专题 | 岩土力学所知识全产出_期刊论文 |
作者单位 | China Three Gorges Univ, Key Lab Geol Hazards, Gorges Reservoir Minist Educ 3 |
推荐引用方式 GB/T 7714 | Zheng, Hong,Dai, Hui Chao,Liu, De Fu. A variational inequality formulation for unconfined seepage problems in porous media[J]. APPLIED MATHEMATICAL MODELLING,2009,33(1):437-450. |
APA | Zheng, Hong,Dai, Hui Chao,&Liu, De Fu.(2009).A variational inequality formulation for unconfined seepage problems in porous media.APPLIED MATHEMATICAL MODELLING,33(1),437-450. |
MLA | Zheng, Hong,et al."A variational inequality formulation for unconfined seepage problems in porous media".APPLIED MATHEMATICAL MODELLING 33.1(2009):437-450. |
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