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http://dx.doi.org/10.5389/KSAE.2012.54.3.055

The probabilistic Analysis of Degree of Consolidation by Spatial Variability of Cv  

Bong, Tae-Ho (서울대학교 생태조경.지역시스템공학부 대학원)
Son, Young-Hwan (서울대학교 조경.지역시스템공학과, 서울대학교 농업생명과학연구원)
Noh, Soo-Kack (서울대학교 생태조경.지역시스템공학부 대학원)
Park, Jae-Sung (서울대학교 생태조경.지역시스템공학부 대학원)
Publication Information
Journal of The Korean Society of Agricultural Engineers / v.54, no.3, 2012 , pp. 55-63 More about this Journal
Abstract
Soil properties are not random values which is represented by mean and standard deviation but show spatial correlation. Especially, soils are highly variable in their properties and rarely homogeneous. Thus, the accuracy and reliability of probabilistic analysis results is decreased when using only one random variable as design parameter. In this paper, to consider spatial variability of soil property, one-dimensional random fields of coefficient of consolidation ($C_v$) were generated based on a Karhunen-Loeve expansion. A Latin hypercube Monte Calro simulation coupled with finite difference method for Terzaghi's one dimensional consolidation theory was then used to probabilistic analysis. The results show that the failure probability is smaller when consider spatial variability of $C_v$ than not considered and the failure probability increased when the autocorrelation distance increased. Thus, the uncertainty of soil can be overestimated when spatial variability of soil property is not considered, and therefore, to perform a more accurate probabilistic analysis, spatial variability of soil property needed to be considered.
Keywords
Spatial variability; Karhunen-Loeve expasion; random field; autocorrelation distance; probabilistic analysis;
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