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http://dx.doi.org/10.7843/kgs.2011.27.10.093

Probabilistic Seepage Analysis by the Finite Element Method Considering Spatial Variability of Soil Permeability  

Cho, Sung-Eun (Department of Civil Engineering, Hankyong National Univ.)
Publication Information
Journal of the Korean Geotechnical Society / v.27, no.10, 2011 , pp. 93-104 More about this Journal
Abstract
In this paper, a numerical procedure of probabilistic steady seepage analysis that considers the spatial variability of soil permeability is presented. The procedure extends the deterministic analysis based on the finite element method to a probabilistic approach that accounts for the uncertainties and spatial variation of the soil permeability. Two-dimensional random fields are generated based on a Karhunen-Lo$\grave{e}$ve expansion in a fashion consistent with a specified marginal distribution function and an autocorrelation function. A Monte Carlo simulation is then used to determine the statistical response based on the random fields. A series of analyses were performed to verify the application potential of the proposed method and to study the effects of uncertainty due to the spatial heterogeneity on the seepage behavior of soil foundation beneath water retaining structure with a single sheet pile wall. The results showed that the probabilistic framework can be used to efficiently consider the various flow patterns caused by the spatial variability of the soil permeability in seepage assessment for a soil foundation beneath water retaining structures.
Keywords
Karhunen-Lo$\grave{e}$ve expansion; Monte-Carlo simulation; Probabilistic analysis; Seepage; Spatial variability;
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