Analytical solution of confined seepage problem through alluvial foundation and evaluation

Document Type : Research Paper

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Abstract

Many analytical methods proposed for solving two-dimensional problems of groundwater are concerned with functions which transform the problem from a geometric status, where solution must be found, to another status in which the solutions are known. Conformal mapping and its appropriate techniques allow us to change complex flow problems into regular geometric shapes. Throughout the present paper, an analytical solution is provided for estimating uplift pressure in alluvial foundations below dams. In the present study, velocity Hodograph and Schwartz -Christoffel integrals are employed to determine the uplift pressure in alluvial foundations within different depths and sizes of sheet pile and upstream blanket. An important point in this study is the asymmetric insertion of blanket relative to sheet pile along the longitudinal path. Finally, the results obtained through this method us the ones of laboratory methods were compared to assess the accuracy of analytical results and to critically discuss the strengths vs weaknesses. The results indicate that in some cases new analytical method underestimates uplift pressure while in some circumstances there exists a good agreement between the two.

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References

Bennet, P,T. (1946), "The Effect of Blankets on Seepage Through Previous Foundation", Trans., ASCE, Vol 111.
Harr, M. E. (1962). Groundwater and Seepage. New York: Mc Graw-Hill Book Company. Available from: Technical Information Center, U. S. Army Engineer Experiment Station, P. O. Box 631, Vicksburg, MS 39180-0631.
Hathood, H. M. (1986). Seepage Beneath a Concrete Dam. With a downstream filter. Applied mathematical modeling. 10(2): 129-132.
Fujii, N. Kacimov, A.R. (1998). "Analytically computed rates of seepage flow into drains and cavities". J. Numer. Anal. Meth. Geomech, Vol. 22,301- 277.
Javan, M. Farjood, M.R. (1993). "Evaluation of Foundation Seepage at Doroodzan Earth Dam. Proceeding of the International Conference on Environmental Management, Geo-Water and Engineering Aspects". Feb. 11-8, Wollongong, august, A.A Balkema.
McNamee, J., and Institution of Civil Engineers, ‘‘Seepage into a Sheeted Excavation,’’ Geotechnique 4(1):229–241 (1949).
Neuman, S. P., and Witherspoon, P. A., (1970). "Finite Element Method for Analyzing Steady Seepage with a Free Surface", Water Resources Research, 6: 889–897.
Sedghi-Asl. M, Rahimi, H and H, Khaleghi. (2010). Laboratory Investigation of the Seepage Control Measures under Coastal Dikes. Experimental Techniques,  36(1) : 61-71.
Sedghi-Asl. M, H, Rahimi and H, Khaleghi. (2010) “Experimental Analysis of Seepage Flow under Coastal Dikes Experimental Techniques 34(4): 49– 54.
Swamee, P.K. and D. Kashyap (2001), "Design of minimum seepage loss non-polygonal canal sections ", J. of Irrigation and Drainage Engineering, ASCE, Vol.127, No.2, 113-117.
Terzaghi, K., (1943), "Theoretical Soil Mechanics", John Wiley and Sons, New York.
Iranian Journal of Soil and Water Research
Volume 47, Issue 1
July 2016
Pages 129-135

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