Technical Notes
Aug 7, 2012

Stochastic Analysis of Seepage under Hydraulic Structures Resting on Anisotropic Heterogeneous Soils

Publication: Journal of Geotechnical and Geoenvironmental Engineering
Volume 139, Issue 6

Abstract

This research investigated the confined flow under hydraulic structures. The hydraulic conductivity of the soil was modeled as a spatially random field, which followed a lognormal distribution. Only porous media that have anisotropic heterogeneity were investigated. Results showed that larger anisotropic heterogeneity ratios (the ratio of horizontal to vertical scale of fluctuation) dramatically increased the seepage flow. This increase of flow was more pronounced at larger coefficients of variations. A similar trend was observed in the case of uplift force, although it was less sensitive to the increase in the anisotropic heterogeneity ratio. Moreover, both the seepage flow and the uplift force tended to their deterministic values as the ratio of anisotropic heterogeneity increased. Results also showed that the exit hydraulic gradient attained its greatest value at particular values of the anisotropic heterogeneity ratio.

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Acknowledgments

The author thanks Harold Johnston and Debra Phillips for reviewing this manuscript; their constructive comments are very much appreciated. Many thanks to the reviewers for their constructive comments, which helped improve the manuscript.

References

Ahmed, A. A. (2008). “Saturated-unsaturated flow through leaky dams.” J. Geotech. Geoenviron. Eng., 134(10), 1564–1568.
Ahmed, A. A. (2009). “Stochastic analysis of free surface flow through earth dams.” Comput. Geotech., 36(7), 1186–1190.
Ahmed, A. A. (2011). “Design of hydraulic structures considering different sheetpile configurations and flow through canal banks.” Comput. Geotech., 38(4), 559–565.
Ahmed, A. A., and Bazaraa, A. S. (2009). “Three-dimensional analysis of seepage below and around hydraulic structures.” J. Hydrol. Eng., 14(3), 243–247.
Fenton, G. A., and Vanmarcke, E. H. (1990). “Simulation of random fields via local average subdivision.” J. Eng. Mech., 116(8), 1733–1749.
Griffiths, D. V., and Fenton, G. A. (1993). “Seepage beneath water retaining structures founded on spatially random soil.” Géotechnique, 43(4), 577–587.
Griffiths, D. V., and Fenton, G. A. (1997). “Three-dimensional seepage through spatially random soil.” J. Geotech. Geoenviron. Eng., 123(2), 153–160.
Griffiths, D. V., and Fenton, G. A. (1998). “Probabilistic analysis of exit gradient due to steady seepage.” J. Geotech. Geoenviron. Eng., 124(9), 789–797.
Harr, M. E. (1962). Ground water and seepage. McGraw Hill, New York.
Hicks, M. A., and Samy, K. (2002). “Influence of heterogeneity on undrained clay slope stability.” Q. J. Eng. Geol. Hydroge., 35(1), 41–49.
Luo, Z., Atamturktur, S., Cai, Y., and Juang, C. H. (2012). “Simplified approach for reliability-based design against basal-heave failure in braced excavations considering spatial effect.” J. Geotech. Geoenviron. Eng., 138(4), 441–450.
Smith, L., and Freeze, R. A. (1979). “Stochastic analysis of steady state groundwater flow in bounded domain 2. Two-dimensional simulations.” Water Resour. Res., 15(6), 1543–1559.
Sudicky, E. A. (1986). “A natural gradient experiment on solute transport in a sand aquifer.” Water Resour. Res., 22(13), 2069–2083.
Vanmarcke, E. H. (1983). Random fields: analysis and synthesis. The MIT Press, Cambridge, MA.
Winter, C. L., and Tartakovsky, D. M. (2002). “Groundwater flow in heterogeneous composite aquifers.” Water Resour. Res., 38(8), 23-1–23-11.

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Published In

Go to Journal of Geotechnical and Geoenvironmental Engineering
Journal of Geotechnical and Geoenvironmental Engineering
Volume 139Issue 6June 2013
Pages: 1001 - 1004

History

Received: Jan 9, 2012
Accepted: Jul 31, 2012
Published online: Aug 7, 2012
Published in print: Jun 1, 2013

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Authors

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Ashraf A. Ahmed [email protected]
Lecturer, School of Planning, Architecture, and Civil Engineering, Queen’s Univ. Belfast, David Keir Building, Belfast BT9 5AG, U.K. E-mail: [email protected]

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