압밀계수의 공간변동성에 따른 압밀도의 확률론적 해석
The probabilistic Analysis of Degree of Consolidation by Spatial Variability of
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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.
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.
참고문헌 (24)
- Agterberg, F. B., "Autocorrelation function in geology, proceeding of a colloquium on geostatistics", pp.1970
- Baecher, G. B., "Simplified Geotechnical Data Analysis, Proc., NATO Advanced Study Inst. on Reliability Theory and Its Application in Struct. and Soil Mech" (1982), Martinus Nijhoff Publishers
- Buckheit, J. B., "Statistical applications of adaptive basis selection", 박사, pp.1996
- 조성은, "지반물성의 공간적 변동성을 고려한 한계평형법에 의한 확률론적 사면안정 해석", 한국지반공학회논문집, 25(12), pp.13~25 (2009), 한국지반공학회
- Christian, J, T, "Geotechnical engineering reliability: How well do we know what we are doing?", Journal of Geotechnical and Geoenvironmental Engineering, 130(10), pp.985~1003 (2004)
- DeGroot, D. J., "Estimating Autoconvariance of In-situ Soil Properties", Journal of Geotechnical and Geoenvironmental Engineering, 119(1), pp.147~166 (1993)
- Diego, L. A., "Discretization of 2D random fields: A genetic algorithm approach", Engineering Structures, 31(5), pp.1111~1119 (2009)
- Elkateb, T., "An overview of soil heterogeneity: quantification and implications on geothchnical field problems", Canadian Geotechnical Journal, 40(1), pp.1~15 (2002)
- Ghanem, R. G., "Stochastic Finite Elements: A Spectral Approach, Revised Edition" (2003), Dover Publications
- Lacasse, S., "Uncertainties in characteristic soil properties", Proceedings of Uncertainty 1996, 58(1), pp.49~75 (1996)
- Li, K. S., "Probabilistic design of slopes", Canadian Geotechnical Journal, 24(4), pp.520~535 (1987)
- Lumb, P., "Variability of Natural Soils", Canadian Geotechnical Journal, 3(2), pp.74~97 (1966)
- Lumb, P., "Statistical aspects of soil measurements", Proc. 4th Australian Road Research Conference, 4, pp.1761~1770 (1968)
- Lumb P., "Spatial variability of soil properties", Proc. 2nd Intl Conference on Application of Statistics and Probability to Soil and Structural Engineering. Aachen, 2, pp.397~421 (1975)
- Mckay, M. D., "A comparison of Three Methods for SelectingValues of Input Variables in the Analysis of Outputfrom a Computer code", Technometrics, 21(2), pp.239~245 (1979)
- Olson, A., "On Latin hypercube sampling for structural reliability analysis", Structural Safety, 25, pp.47~68 (2003)
- settlement of structure on shallow foundation, "Padilla, J. D.", Department of Civil Engineering, MIT, Cambridge, ~, pp.Research report R74-9 (1974)
- Rackwitz, R., "Reviewing probabilistic soils modelling", Computer and Geotechnics, 26, pp.199~223 (2000)
- Spanos, P. D., "Stochastic Finite Element Expansion for Random Media", Journal of Engineering Mechanics, 115(5), pp.1035~1053 (1989)
- Stein, M., "Large sample properties of simulations using Latin Hypercube Sampling", Technometrics, 29(2), pp.143~151 (1987)
- Stochastic Finite Element Methods and Reliability: A State-of the-Art Report, Tech. Rep, "Sudret, B.", Department of Civil Engineering & Environmental Engineering, University of California, Berkeley, ~, pp.Report No. UCB (2000), SEMM- 2000[DOI]
- Terzaghi, K., "Die Berechnung der Durchlassigkeitsziffer des Tones aus dem Verlauf der Hydrodynamischen", Sber. Akad. Wiss. Wein, Ausria, 182, pp.125~138 (1923)
- Van Trees, H. L., "Detection, estimation and modulation theory, Part Ⅰ" (2001), John Wiley and Sons, Inc.
- Vanmarcke, E. H., "Random field: Analysis and Synthesis" (1983), The MIT Press
