확률론적 응답면 기법을 이용한 저수지 제체의 침투수량 해석
The Analysis of the Seepage Quantity of Reservoir Embankment using Stochastic Response Surface Method
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The seepage quantity analysis of reservoir embankment is very important for assessment of embankment safety. However, theconventional analysis does not consider uncertainty of soil properties. Permeability is known that the coefficient of variation is largerthan other soil properties and seepage quantity is highly dependent on the permeability of embankment. Therefore, probabilisticanalysis should be carried out for seepage analysis. To designers, however, the probabilistic analysis is not an easy task. In thispaper, the method that can be performed probabilistic analysis easily and efficiently through the numerical analysis based commercialprogram is proposed. Stochastic response surface method is used for approximate the limit state function and when estimating thecoefficients, the moving least squares method is applied in order to reduce local error. The probabilistic analysis is performed byLHC-MCS through the response surface. This method was applied to two type (homogeneous, core zone) earth dams and permeabilityof embankment body and core are considered as random variables. As a result, seepage quantity was predicted effectively byresponse surface and probabilistic analysis could be successfully implemented.
Abstract
The seepage quantity analysis of reservoir embankment is very important for assessment of embankment safety. However, theconventional analysis does not consider uncertainty of soil properties. Permeability is known that the coefficient of variation is largerthan other soil properties and seepage quantity is highly dependent on the permeability of embankment. Therefore, probabilisticanalysis should be carried out for seepage analysis. To designers, however, the probabilistic analysis is not an easy task. In thispaper, the method that can be performed probabilistic analysis easily and efficiently through the numerical analysis based commercialprogram is proposed. Stochastic response surface method is used for approximate the limit state function and when estimating thecoefficients, the moving least squares method is applied in order to reduce local error. The probabilistic analysis is performed byLHC-MCS through the response surface. This method was applied to two type (homogeneous, core zone) earth dams and permeabilityof embankment body and core are considered as random variables. As a result, seepage quantity was predicted effectively byresponse surface and probabilistic analysis could be successfully implemented.
참고문헌 (20)
- Ahmed, A. A., "Stochastic analysis of free surface flow through earth dams", Computers and Geotechnics, 36(7), pp.1186~1190 (2009)
- Baecher, G. B., "Reliability and Statistics in Geotechnical Engineering" (2003), John Wiley & Sons
- Berveiller, M., "Comparison of methods for computing the response coefficients in stochastic finite element analysis", Proc. Second International ASRANet Colloquium, Barcelona, Spain (2004)
- Box G. E. P., "On the experimental attainment of optimum conditions", Journal of the Royal Statistical Society B, 13(1), pp.1~45 (1951)
- Bucher, C. G., "A fast and efficient response surface approach for structural reliability problems", Structural Safety, 7(1), pp.57~66 (1990)
- 조성은, "확률론적 댐 침투거동 해석", 한국지반공학회논문집, 22(4), pp.73~83 (2006), 한국지반공학회
- 조성은, "투수계수의 공간적 변동성을 고려한 유한요소법에 의한 확률론적 침투해석", 한국지반공학회논문집, 27(10), pp.93~104 (2011), 한국지반공학회
- Christian, J. T., "Rliability applied to slope stability analysis", Journal of Geotechnical Engineering, 120(12), pp.2180~2207 (1994)
- Duncan, J. M., "Factors of safety and reliability in geotechnical engineering", Journal of Geotechnical and Geoenvironmental Engineering, 126(4), pp.307~316 (2000)
- El-Ramly, H., "Probabilistic Slope Stability Analysis for Practice", Canadian Geotechnical Journal, 39(3), pp.665~683 (2002)
- Isukapalli, S. S., "Stochastic response surface methods(SRSMs)for uncertainty propagation : application to environmental and biological systems", Risk Analysis, 18(3), pp.351~363 (1998)
- Kim, S. H., "Structural Reliability Analysis Using Improved Response Surface Method", Journal of the Korean Society of Civil Engineers, 15(1), pp.63~72 (1995)
- Lancaster, P., "Curve and Surface Fitting: An introduction" (1986), Academic Press
- Lumb, P., "Application of Statistics in Soil Mechanics, Ch. 3. In Soil Mechanics: New Horizons" (1974), Elsevier
- Rajaschekhar, M. R., "A new look at the response surface approach for reliability analysis", Structural Safety, 12(3), pp.205~220 (1993)
- Shepard, D. D., "A Two Dimensional Interpolation Function for Irregularly Spaced Data", Proceeding of the 23rd ACM National Conference (1968)
- Sudret, B., "Global sensitivity analysis using polynomial chaos expansions", Journal of Reliability Engineering & System Safety, 93(7), pp.964~979 (2008)
- Tatang, M. A., "Direct Incorporation of Uncertainty in Chemical and Environmental Engineering Systems", 박사, pp.1995
- Xiong, F., "Weighted stochastic response surface method considering sample weights", Journal of Structural and Multidisciplinary Optimization, 43(6), pp.837~849 (2011)
- Yang, Y. S., "Structural Reliability Analysis via Response Surface Method", The Society of Naval Architects of Korea, 33(1), pp.98~108 (1996)