Water Science and Engineering 2009, 2(1) 58-73  DOI:   10.3882/j.issn.1674-2370.2009.01.006   ISSN: 1674-2370 CN: 32-1785/TV

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Email this article to a colleague anisotropic random seepage field; three-dimensional seepage finite element method; Monte Carlo simulation; inhomogeneous permeability coefficient; stochastic disturbance of hydraulic head boundary

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Ya-jun WANG
Wo-hua ZHANG
Chang-yu WU
Da-chun REN
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Three-dimensional stochastic seepage field for embankment engineering

Ya-jun WANG*1, 2;Wo-hua ZHANG1, 2;Chang-yu WU3;Da-chun REN3

1. Key Laboratory of Soft Soils and Geoenvironmental Engineering, Ministry of Education, Zhejiang University, Hangzhou 310027, P. R. China
2. College of Civil Engineering and Architecture, Zhejiang University, Hangzhou 310027, P. R. China
3. Yangtze River Scientific Research Institute, Wuhan 430010, P. R. China

Abstract

Owing to the complexity of geo-engineering seepage problems influenced by different random factors, three-dimensional simulation and analysis of the stochastic seepage field plays an important role in engineering applications. A three-dimensional anisotropic heterogeneous steady random seepage model was developed on the basis of the finite element method. A statistical analysis of the distribution characteristics of soil parameters sampled from the main embankment of the Yangtze River in the Southern Jingzhou zone of China was conducted. The Kolomogorov-Smirnov test verified the statistical hypothesis that the permeability coefficient tensor has a Gaussian distribution. With the help of numerical analysis of the stochastic seepage field using the developed model, various statistical and random characteristics of the stochastic seepage field of the main embankment of the Yangtze River in the Southern Jingzhou zone of China were investigated. The model was also examined with statistical testing. Through the introduction of random variation of the upstream and downstream water levels into the model, the effects of the boundary randomness due to variation of the downstream and upstream water levels on the variation of simulated results presented with a vector series of the random seepage field were analyzed. Furthermore, the combined influence of the variation of the soil permeability coefficient and such seepage resistance measures as the cut-off wall and relief ditch on the hydraulic head distribution was analyzed and compared with the results obtained by determinate analysis. Meanwhile, sensitivities of the hydraulic gradient and downstream exit height to the variation of boundary water level were studied. The validity of the simulated results was verified by stochastic testing and measured data. The developed model provides more detail and a full stochastic algorithm to characterize and analyze three-dimensional stochastic seepage field problems

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Received 2008-07-18 Revised 2008-11-17 Online:  
DOI: 10.3882/j.issn.1674-2370.2009.01.006
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Corresponding Authors: Ya-jun WANG
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