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2019 Vol.35, Issue 12 Preview Page

Research Article

Probabilistic Failure-time Analysis of Soil Slope under Rainfall Infiltration by Numerical Analysis

수치해석에 의한 강우 침투 시 사면 파괴시간의 확률론적 해석

Sung-Eun Cho1*
조 성은1*
1Member, Associate Prof., Dept. of Civil, Safety, and Environmental Engrg. & Construction Engrg. Research Institute, Hankyong National Univ.
1정회원, 한경대학교 토목안전환경공학과 부교수
* Corresponding Author
31 December 2019. pp. 45-58
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Abstract

본 연구에서는 강우의 침투에 따른 토사사면의 파괴에 대한 강우강도-지속시간의 강우기준을 평가하기 위하여 수치해석에 의한 파괴시간의 확률론적 해석 절차를 제안하였다. 취약도 곡선은 시간에 따른 강우의 침투해석 결과를 반영하며 지반의 역학적 특성의 불확실성을 고려한 MCS에 의한 확률론적 사면 안정해석의 결과로부터 강우강도-지속기간의 함수로 생성하였다. 확률론적 해석에서 한계상태함수를 계산하기 위하여 강우의 침투해석과 연동된 사면 안정해석을 수행하였다. 생성된 사면의 취약도 곡선들을 기반으로 확률론적 사면 파괴분포 분석을 수행하여 지반의 불확실성을 고려한 사면 파괴 유발 강우기준을 평가하였다. 제안된 사면 파괴분포 분석법은 강우의 침투로 인한 사면 파괴의 과정을 분석하고 사면 파괴가 발생할 수 있는 시간을 예측하는데 유용하게 사용될 수 있다.

In this study, a stochastic analysis procedure based on numerical analysis was proposed to evaluate a kind of intensity-duration rainfall threshold for the initiation of slope failure due to rainfall infiltration. Fragility curves were generated as a function of rainfall intensity-duration from the results of probabilistic slope stability analysis by MCS considering the uncertainty of the soil shear strength, reflecting the results of infiltration analysis of rainfall over time. In the probabilistic analysis, slope stability analyses combined with the infiltration analysis of rainfall were performed to calculate the limit state function. Using the derived fragility curves, a chart showing the relationship between rainfall intensity and slope failure-time was developed. It is based on a probabilistic analysis considering the uncertainty of the soil properties. The proposed probabilistic failure distribution analysis could be beneficial for analyzing the time-dependent failure process of soil slopes due to rainfall infiltration, and for predicting when the slope failure should occur.

Keywords
Failure-time
Fragility curve
Monte carlo simulation
Rainfall infiltration
Soil slope

References
1
Ali, A., Huang, J., Lyamin, A.V., Sloan, S.W., Griffiths, D.V., Cassidy, M.J., and Li, J.H. (2014), "Simplified Quantitative Risk Assessment of Rainfall-induced Landslides Modelled by Infinite Slopes", Engineering Geology, Vol.179, No.4, pp.102-116.
10.1016/j.enggeo.2014.06.024
2
Cai, J.S., Yeh, T.C., Yan, E.C., Hao, Y.H., Huang, S.Y., and Wen, J.C. (2017), "Uncertainty of Rainfall-induced Landslides Considering Spatial Variability of Parameters", Computers and Geotechnics, Vol.87, pp.149-162.
10.1016/j.compgeo.2017.02.009
3
Cho, S.E. (2009), "Infiltration Analysis to Evaluate the Surficial Stability of Two-layered Slopes Considering Rainfall Characteristics", Engineering Geology, Vol.105, pp.32-43.
10.1016/j.enggeo.2008.12.007
4
Cho, S.E. (2014), "Probabilistic Stability Analysis of Rainfall-induced Landslides Considering Spatial Variability of Permeability", Engineering Geology, Vol.171, pp.11-20.
10.1016/j.enggeo.2013.12.015
5
Cho, S.E. and Lee, S.R. (2002), "Evaluation of Surficial Stability for Homogeneous Slopes Considering Rainfall Characteristics", Journal of Geotechnical and Geoenvironmental Engineering, Vol.128, No.9, pp.756-763.
10.1061/(ASCE)1090-0241(2002)128:9(756)
6
Cho, S.E. (2019), "Failure Distribution Analysis of Shallow Landslides under Rainfall Infiltration Based on Fragility Curves", Landslides.
10.1007/s10346-019-01257-w
7
Dou, H.Q., Han, T.C., Gong, X.N., and Zhang, J. (2014), "Probabilistic Slope Stability Analysis Considering the Variability of Hydraulic Conductivity under Rainfall Infiltration-redistribution Conditions", Engineering Geology, Vol.183, pp.1-13.
10.1016/j.enggeo.2014.09.005
8
Ebeling, C.E. (1997), An Introduction to Reliability and Maintainability Engineering, McGraw-Hill, Boston.
9
Fourie, A.B., Rowe, D., and Blight, G.E. (1999), "The Effect of Infiltration on the Stability of the Slopes of a Dry Ash Dump", Géotechnique, Vol.49, No.1, pp.1-13.
10.1680/geot.1999.49.1.1
10
Fredlund, D. G., Xing, A., and Huang, S. (1994), "Predicting the Permeability Function for Unsaturated Soils using the Soil-water Characteristic Curve", Canadian Geotechnical Journal, Vol.31, pp.533-546.
10.1139/t94-062
11
Geos-Slope (2012), GeoStudio 2012, GEO-SLOPE International Ltd., Calgary, Alberta, Canada.
12
Guzzetti, F., Peruccacci, S., Rossi, M., and Stark, C.P. (2007), "Rainfall Thresholds for the Initiation of Landslides in Central and Southern Europe", Meteorology and Atmospheric Physics, Vol.98, No.3-4, pp.239-267.
10.1007/s00703-007-0262-7
13
Kennedy, R.P., Cornell, C.A., Campbell, R.D., Kaplan, S., and Perla, H.F. (1980), "Probabilistic Seismic Safety Study of an Existing Nuclear Power Plant", Nuclear Engineering and Design, Vol.59, No.2, pp.315-338.
10.1016/0029-5493(80)90203-4
14
Kennedy, R.P. and Ravindra, M.K. (1984), "Seismic Fragilities for Nuclear Power Plant Risk Studies", Nuclear Engineering and Design, Vol.79, No.1, pp.47-68.
10.1016/0029-5493(84)90188-2
15
Kim, J.H., Jeong, S.S., Kim, Y.M., and Lee, K.W. (2013), "Proposal of Design Method for Landslides Considering Antecedent Rainfall and In-situ Matric Suction", Journal of the Korean Geotechnical Society, Vol.29, No.12, pp.11-24.
10.7843/kgs.2013.29.12.11
16
Kim, K.Y. and Cho, S.E. (2006), "A Study on the Probabilistic Stability Analysis of Slopes", Journal of the Korean Geotechnical Society, Vol.22, No.11, pp.101-111.
17
Kim, Y. K. (2003), Permeability of unsaturated weathered soils by analyzing triaxial permeameter test results, Master thesis, KAIST.
18
Lumb, P. (1970), "Safety Factors and the Probability Distribution of Soil Strength", Canadian Geotechnical Journal, Vol.73, pp.225-242.
10.1139/t70-032
19
Martinović, K., Reale, C., and Gavin, K. (2018), "Fragility Curves for Rainfall-induced Shallow Landslides on Transport Networks", Canadian Geotechnical Journal, Vol.55, No.6, pp.852-861.
10.1139/cgj-2016-0565
20
Phoon, K.K. and Kulhawy, F.H. (1999), "Characterization of Geotechnical Variability", Canadian Geotechnical Journal, Vol.36, No.4, pp.612-624.
10.1139/t99-038
11
Porter, K. (2018), A Beginner's guide to fragility, vulnerability, and risk, University of Colorado Boulder, http://spot.colorado.edu/~porterka/Porter-beginners-guide.pdf
12
Pradel, D. and Raad, G. (1993), "Effect of Permeability on Surficial Stability of Homogeneous Slopes", Journal of Geotechnical Engineering, Vol.119, No.2, pp.315-332.
10.1061/(ASCE)0733-9410(1993)119:2(315)
23
Rahardjo, H., Ong, T.H., Rezaur, R.B., and Leong, E.C. (2007), "Factors Controlling Instability of Homogeneous Soil Slopes under Rainfall", Journal of Geotechnical and Geoenvironmental Engineering, Vol.133, No.12, pp.1532-1543.
10.1061/(ASCE)1090-0241(2007)133:12(1532)
24
Santoso, A.M., Phoon, K.K., and Quek, S.T. (2011), "Effects of Soil Spatial Variability on Rainfall-induced Landslides", Computers and Structures, Vol.89, No.11-12, pp.893-900.
10.1016/j.compstruc.2011.02.016
25
Tsompanakis, Y., Lagaros, N.D., Psarropoulos, P.N., and Georgopoulos, E.C. (2010), "Probabilistic Seismic Slope Stability Assessment of Geostructures", Structure and Infrastructure Engineering, Vol.6, No.1-2, pp.179-191.
10.1080/15732470802664001
26
USACE (1996), Risk-based Analysis for Flood Damage Reduction Studies, US Army Corps of Engineers, Engineer Manual 1110-2-1619.
27
USACE (1997), Engineering and Design: Introduction to Probability and Reliability Methods for Use in Geotechnical Engineering, Engineering Circular No. 1110-2-547, Dept. of the Army, Washington, D.C.
28
Vanapalli, S.K., Fredlund D.G., Pufahl, D.E., and Clifton, A.W. (1996), "Model for the Prediction of Shear Strength with Respect to Soil Suction", Canadian Geotechnical Journal, Vol.33, pp.379-392.
10.1139/t96-060
29
Vorogushyn, S., Merz, B., and Apel, H. (2009), "Development of Dike Fragility Curves for Piping and Micro-instability Breach Mechanisms", Natural Hazards and Earth System Sciences, Vol9, pp.1383-1401.
10.5194/nhess-9-1383-2009
30
Wolff, T. H. (1985), Analysis and Design of Embankment Dam Slopes: A Probabilistic Approach, Ph.D. thesis, Purdue University, Lafayette, Ind.
31
Wu, X.Z. (2015), "Development of Fragility Functions for Slope Instability Analysis", Landslides, Vol.12, No.1, pp.165-175.
10.1007/s10346-014-0536-3
32
Yucemen, M.S., Tang, W.H., and Ang, A.H.S. (1973), A Probabilistic Study of Safety and Design of Earth Slopes, Structural Research Series Vol.402, University of Illinois, Urbana, Ill.
33
Zhang, J., Huang, H.W., Zhang, L.M., Zhu, H.H., and Shi, B. (2014), "Probabilistic Prediction of Rainfall-induced Slope Failure Using a Mechanics-based Model", Engineering Geology, Vol.168, pp.129-140.
10.1016/j.enggeo.2013.11.005
34
Zhang, L., Li, J., Li, X., Zhang, J., and Zhu, H. (2016), Rainfall-induced Soil Slope Failure: Stability Analysis and Probabilistic Assessment, CRC Press.
Information
  • Publisher :The Korean Geotechnical Society
  • Publisher(Ko) :한국지반공학회
  • Journal Title :Journal of the Korean Geotechnical Society
  • Journal Title(Ko) :한국지반공학회 논문집
  • Volume : 35
  • No :12
  • Pages :45-58
  • Received Date : 2019-09-16
  • Revised Date : 2019-12-05
  • Accepted Date : 2019-12-06
  • DOI :https://doi.org/10.7843/kgs.2019.35.12.45
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