Uncertainty Analysis of Seepage Flow in Soil Foundation of Small Concrete Dam

Authors

1 Civil Engineering Department, Science and Research Branch, Islamic Azad University, Tehran

2 Civil Group, Technical and Engineering Department, Shar-e-Qods Islamic Azad University

Abstract

Hydraulic conductivity of soil has spatial variability due to complex configuration of soil. Therefore, regarding constant hydraulic conductivity in seepage analysis of soil foundation has high uncertainty.
In this study, seepage analysis of soil foundation in the small concrete dam was analyzed by considering uncertainty of hydraulic conductivity. In this respect, spatial variability of two-layer soil foundation was quantified using Monte Carlo simulation (Sharafati and Zahabiyoun 2014; Sharafati and Azamathulla 2018; Sharafati et al. 2018). Also, random variables were generated using Cholesky method and autocorrelated function of each layer.

Keywords


Ahmed AA, “Stochastic analysis of free surface flow through earth dams”, Computers and Geotechnics, 2009, 36 (7), 1186-1190.
Baecher GB, Christian JT, “Reliability and Statistics in Geotechnical Engineering”, Wiley, New York, 2003.
Benson CH, “Probability Distributions for Hydraulic Conductivity of Compacted Soil Liners”, Geotechnical and Geoenvironmental Engineering, 1993, 119 (3), 471-486.
Chock YH, “Modeling the effects of soil variability and vegetation on the stability of natural lopes”, Ph.D. thesis, The University of Adelaide, Australia, 2009
DeGroot DJ, “Analyzing spatial variability of insitu soil properties”, Uncertainty in the geologic environment, from theory to practice, Proceedings of Uncertainty, Geotechnical special publication No. 58, Madison, Wisconsin, 1996, 210-238.
DeGroot DJ, Baecher GB, ‘‘Estimating autocovariance of in-situ soil properties’’, Geotechnical and Geoenvironmental, 1993, 119 (1), 147-166.
El-Ramly H, Morgenstern NR, Cruden DM, “Probabilistic stability analysis of a tailings dyke on preshearedclay-shale”, Canadian Geotechnical, 2003, 40, 192-208.
Fenton GA, Griffiths DV, “Statistics of free surface flow through stochastic earth dam”, Geotechnical and Geoenvironmental Engineering, 1996, 122 (6), 427-436
Fenton, GA, Griffiths DV, “Statistics of block conductivity through a simple bounded stochastic medium”, Water Resources Research, 1993, 29 (6), 1825-1830.
Griffiths DV, Fenton GA, “Probabilistic analysis of exit gradients due to steady seepage”, Geotechnical and Geoenvironmental Engineering, 1998, 124, 789-797.
Gui S, Zhang R, Turner JP, Xue X, “Probabilistic slope stability analysis with stochastic hydraulic conductivity”, Geotechnical and Geoenvironmental Engineering, 2000, 126 (1), 1-9.
Hekmatzadeh AA, Zarei F, Johari A, Haghighi A, “Reliability analysis of stability against piping and sliding in diversion dams, considering four cutoff wall configurations”, Computers and Geotechnics, 2018, 98, 217-231.
Johari A, Heydari A, “Reliability analysis of seepage using an applicable procedure based on stochastic scaled boundary finite element method”, Engineering Analysis with Boundary Elements, 2018, 94, 44-59.
Lamb P, ‘‘The variability of natural soils’’, Canadian Geotechnic, 1966, 3, 74-97.
Lu Z, Zhang D, “Stochastic simulations for flow in nonstationary randomly heterogeneous porous media using a KLbased moment-equation approach”, SIAM, 2007, 6, 228-245.
Peck RB, ‘‘Stability of natural slopes’’, Soil Mechanic and Foundation, 1967, 93 (4), 403-417.
Srivastava A, Sivakumar GL, Haldar S, “Influence of spatial variability of permeability property on steady state seepage flow and slope stability analysis”, Engineering Geology, 2010, 110 (3-4), 93-101.
Vanmarcke EH, ‘‘Probability modeling of soil profiles’’, Geotechnical Engineering Division, 1977, 103(11), 1227-1246.
Vnmarcke EH, “Random Fields: Analysis and Synthesis”, The MIT Press, Cambridge, MA, 1983.
Xaohui T, Wang X, Khoshnevisan S, Hou X, Zha F, “Seepage analysis of earth dams considering spatial variability of hydraulic parameters”, Engineering Geology, 2017, 228, 260-269.