Skip to main content
Top
Published in: Innovative Infrastructure Solutions 3/2020

01-12-2020 | Case study

Finite difference probabilistic slope stability analysis based on collocation-based stochastic response surface method (CSRSM)

Authors: Samir Ghedjati, Mohammed Lamara, Youcef Houmadi

Published in: Innovative Infrastructure Solutions | Issue 3/2020

Log in

Activate our intelligent search to find suitable subject content or patents.

search-config
loading …

Abstract

Significant damage has been observed due to the landslide along the East–West motorway section, located near Ain Bouzian–El-Harrouch region, Northeast Algeria. In this paper, a probabilistic study was carried out to assess the stability of a slope, with a total height of 60 m and varying inclination angles. Two cases were considered with and without the presence of the groundwater table. To investigate the failure probability of the slope, the collocation-based stochastic response surface method was employed. The input random parameters were the Young modulus E, cohesion C, and friction angle φ, where probabilistic system response is the factor of safety. To identify the effective contribution of each random parameter in the variability of the system response, a global sensitivity analysis based on Sobol indices was conducted. Also, a parametric study was realized to inspect the effect of input geotechnical parameter variations on the reliability of slope stability. The result showed that the slope reliability analysis is strongly influenced by the inherent variability of friction angle and hydrogeological ground conditions.

Dont have a licence yet? Then find out more about our products and how to get one now:

Springer Professional "Wirtschaft+Technik"

Online-Abonnement

Mit Springer Professional "Wirtschaft+Technik" erhalten Sie Zugriff auf:

  • über 102.000 Bücher
  • über 537 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Finance + Banking
  • Management + Führung
  • Marketing + Vertrieb
  • Maschinenbau + Werkstoffe
  • Versicherung + Risiko

Jetzt Wissensvorsprung sichern!

Springer Professional "Technik"

Online-Abonnement

Mit Springer Professional "Technik" erhalten Sie Zugriff auf:

  • über 67.000 Bücher
  • über 390 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Maschinenbau + Werkstoffe




 

Jetzt Wissensvorsprung sichern!

Springer Professional "Wirtschaft"

Online-Abonnement

Mit Springer Professional "Wirtschaft" erhalten Sie Zugriff auf:

  • über 67.000 Bücher
  • über 340 Zeitschriften

aus folgenden Fachgebieten:

  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Finance + Banking
  • Management + Führung
  • Marketing + Vertrieb
  • Versicherung + Risiko




Jetzt Wissensvorsprung sichern!

Appendix
Available only for authorised users
Literature
1.
go back to reference Cruden DM, Varnes DJ (1996) Landslide types and processes. In: Turner AK, Schuster RL (eds) Landslides investigation and mitigation, special report, vol 247. National Research Council, Transportation Research Board, Washington, pp 36–75. https://doi.org/10.1139/t02-034 Cruden DM, Varnes DJ (1996) Landslide types and processes. In: Turner AK, Schuster RL (eds) Landslides investigation and mitigation, special report, vol 247. National Research Council, Transportation Research Board, Washington, pp 36–75. https://​doi.​org/​10.​1139/​t02-034
2.
go back to reference Jaksa MB (1995) The influence of spatial variability on the geotechnical design properties of a stiff, overconsolidated clay. Ph.D. dissertation, The University of Adelaide, Adelaide Jaksa MB (1995) The influence of spatial variability on the geotechnical design properties of a stiff, overconsolidated clay. Ph.D. dissertation, The University of Adelaide, Adelaide
4.
go back to reference Shahri AA (2016) An optimized artificial neural network structure to predict clay sensitivity in a high landslide prone area using piezocone penetration test (CPTu) data: a case study in southwest of Sweden. Geotech Geol Eng 34(2):745–758CrossRef Shahri AA (2016) An optimized artificial neural network structure to predict clay sensitivity in a high landslide prone area using piezocone penetration test (CPTu) data: a case study in southwest of Sweden. Geotech Geol Eng 34(2):745–758CrossRef
6.
go back to reference Eftekhari A, Taromi M, Saeidi M (2014) Uncertainties and complexities of the geological model in slope stability: a case study of Sabzkuh tunnel. Int J Min GeoEng 48(1):69–79 Eftekhari A, Taromi M, Saeidi M (2014) Uncertainties and complexities of the geological model in slope stability: a case study of Sabzkuh tunnel. Int J Min GeoEng 48(1):69–79
7.
go back to reference Matsuo M, Kuroda K (1974) Probabilistic approach to design of embankments. Soils Found 14(2):1–17CrossRef Matsuo M, Kuroda K (1974) Probabilistic approach to design of embankments. Soils Found 14(2):1–17CrossRef
8.
go back to reference Alonso EE (1976) Risk analysis of slopes and its application to slopes in Canadian sensitive clays. Géotechnique 26:453–472CrossRef Alonso EE (1976) Risk analysis of slopes and its application to slopes in Canadian sensitive clays. Géotechnique 26:453–472CrossRef
9.
go back to reference Andrea RAD, Sangrey DA (1982) Safety factors for probabilistic slope design. J Geotech Eng 108(9):1108–1118 Andrea RAD, Sangrey DA (1982) Safety factors for probabilistic slope design. J Geotech Eng 108(9):1108–1118
10.
go back to reference Li KS, Lumb P (1987) Probabilistic design of slopes. Can Geotech J 24:520–531CrossRef Li KS, Lumb P (1987) Probabilistic design of slopes. Can Geotech J 24:520–531CrossRef
11.
go back to reference Lacasse S, Nadim F (1996) Uncertainties in characterising soil properties. In: Shackelford CD et al (eds) Geotechnical special publication no 58, Proceedings of Uncertainity’96 held in Madison, Wisconson, July 31, pp 49–75. GSP 58, ASCE Lacasse S, Nadim F (1996) Uncertainties in characterising soil properties. In: Shackelford CD et al (eds) Geotechnical special publication no 58, Proceedings of Uncertainity’96 held in Madison, Wisconson, July 31, pp 49–75. GSP 58, ASCE
12.
go back to reference Hassan A, Wolff T (1999) Search algorithm for minimum reliability index of earth slopes. J Geotech Geoenviron Eng 125:301–308CrossRef Hassan A, Wolff T (1999) Search algorithm for minimum reliability index of earth slopes. J Geotech Geoenviron Eng 125:301–308CrossRef
13.
go back to reference Christian JT, Ladd CC, Baecher GB (1994) Reliability applied to slope stability analysis. ASCE J Geotechn Eng 120(12):2180–2207CrossRef Christian JT, Ladd CC, Baecher GB (1994) Reliability applied to slope stability analysis. ASCE J Geotechn Eng 120(12):2180–2207CrossRef
14.
go back to reference Duncan JM (2000) Factors of safety and reliability in geotechnical engineering. J Geotech and Geoenviron Eng 126(6):307–316CrossRef Duncan JM (2000) Factors of safety and reliability in geotechnical engineering. J Geotech and Geoenviron Eng 126(6):307–316CrossRef
15.
go back to reference Griffiths DV, Fenton GA (2004) Probabilistic slope stability analysis by finite elements. J Geotech Geoenvirn Eng 130(5):507–518CrossRef Griffiths DV, Fenton GA (2004) Probabilistic slope stability analysis by finite elements. J Geotech Geoenvirn Eng 130(5):507–518CrossRef
16.
go back to reference Breitung K (1984) Asymptotic approximation for multi-normal integrals. J Eng Mech 110(3):357–366CrossRef Breitung K (1984) Asymptotic approximation for multi-normal integrals. J Eng Mech 110(3):357–366CrossRef
17.
go back to reference Koyluoglu HU, Nielsen SRK (1994) New approximations for SORM integrals. Struct Saf 13(4):235–246CrossRef Koyluoglu HU, Nielsen SRK (1994) New approximations for SORM integrals. Struct Saf 13(4):235–246CrossRef
18.
go back to reference Hicks MA, Spencer WA (2010) Influence of heterogeneity on the reliability and failure of a long 3D slope. Comput Geotech 37(7–8):948–955CrossRef Hicks MA, Spencer WA (2010) Influence of heterogeneity on the reliability and failure of a long 3D slope. Comput Geotech 37(7–8):948–955CrossRef
19.
go back to reference Daryani ME, Bahadori H, Daryani KE (2017) Soil probabilistic slope stability analysis using stochastic finite difference method. Mod Appl Sci 11(4):23CrossRef Daryani ME, Bahadori H, Daryani KE (2017) Soil probabilistic slope stability analysis using stochastic finite difference method. Mod Appl Sci 11(4):23CrossRef
20.
go back to reference Shen H (2012) Non-deterministic analysis of slope stability based on numerical simulation. Thesis doctorat Technische Universität Bergakademie Freiberg, Germany Shen H (2012) Non-deterministic analysis of slope stability based on numerical simulation. Thesis doctorat Technische Universität Bergakademie Freiberg, Germany
21.
go back to reference Dawson EM, Roth WH, Drescher A (1999) Slope stability analysis by strength reduction. Geotechnique 49(6):835–848CrossRef Dawson EM, Roth WH, Drescher A (1999) Slope stability analysis by strength reduction. Geotechnique 49(6):835–848CrossRef
22.
go back to reference Deman G, Konakli K, Sudret B, Kerrou J, Perrochet P, Benabderrahmane H (2016) Using sparse polynomial chaos expansions for the global sensitivity analysis of groundwater lifetime expectancy in a multi-layered hydrogeological model. Reliab Eng Syst Saf 147:156–169CrossRef Deman G, Konakli K, Sudret B, Kerrou J, Perrochet P, Benabderrahmane H (2016) Using sparse polynomial chaos expansions for the global sensitivity analysis of groundwater lifetime expectancy in a multi-layered hydrogeological model. Reliab Eng Syst Saf 147:156–169CrossRef
23.
go back to reference Iooss B, Lemaîtrie P (2014) A review on global sensitivity analysis methods. Uncertainty management in simulation-optimization of complex systems, pp 101–122. arXiv:1404.2405v1 [math.ST] Iooss B, Lemaîtrie P (2014) A review on global sensitivity analysis methods. Uncertainty management in simulation-optimization of complex systems, pp 101–122. arXiv:​1404.​2405v1 [math.ST]
24.
go back to reference Saltelli A, Sobol I (1995) About the use of rank transformation in sensitivity of model output. Reliab Eng Syst Saf 50:225–239CrossRef Saltelli A, Sobol I (1995) About the use of rank transformation in sensitivity of model output. Reliab Eng Syst Saf 50:225–239CrossRef
26.
go back to reference Homma T, Saltelli A (1996) Importance measures in global sensitivity analysis of non linear models. Reliab Eng Syst Saf 52:1–17CrossRef Homma T, Saltelli A (1996) Importance measures in global sensitivity analysis of non linear models. Reliab Eng Syst Saf 52:1–17CrossRef
27.
go back to reference Archer G, Saltelli A, Sobol IM (1997) Sensitivity measures, ANOVA-like techniques and the use of bootstrap. J Stat Comput Simul 58:99–120CrossRef Archer G, Saltelli A, Sobol IM (1997) Sensitivity measures, ANOVA-like techniques and the use of bootstrap. J Stat Comput Simul 58:99–120CrossRef
28.
go back to reference Sobol IM (2001) Global sensitivity indices for nonlinear mathematical models and their Monte Carlo estimates. Math Comput Simul 55:271–280CrossRef Sobol IM (2001) Global sensitivity indices for nonlinear mathematical models and their Monte Carlo estimates. Math Comput Simul 55:271–280CrossRef
29.
go back to reference Oakley JE, O’Hagan A (2004) Probabilistic sensitivity analysis of complex models: a Bayesian approach. J R Stat Soc Ser B Stat Methodol 66(3):751–769CrossRef Oakley JE, O’Hagan A (2004) Probabilistic sensitivity analysis of complex models: a Bayesian approach. J R Stat Soc Ser B Stat Methodol 66(3):751–769CrossRef
30.
go back to reference Sobol IM, Tarantola S, Gatelli D, Kucherenko Sand, Mauntz W (2007) Estimating the approximation error when fixing unessential factors in global sensitivity analysis. Reliab Eng Syst Saf 92(7):957–960CrossRef Sobol IM, Tarantola S, Gatelli D, Kucherenko Sand, Mauntz W (2007) Estimating the approximation error when fixing unessential factors in global sensitivity analysis. Reliab Eng Syst Saf 92(7):957–960CrossRef
31.
go back to reference Iooss B (2011) Revue sur l’analyse de sensibilité globale de modèles numériques. J Soc Fr Stat 152(1):1–23 Iooss B (2011) Revue sur l’analyse de sensibilité globale de modèles numériques. J Soc Fr Stat 152(1):1–23
32.
go back to reference Fort JC, Klein T, Lagnoux A, Laurent B (2013) Estimation of the Sobol indices in a linear functional multidimensional model. J Stat Plan Inference 143(9):1590–1605CrossRef Fort JC, Klein T, Lagnoux A, Laurent B (2013) Estimation of the Sobol indices in a linear functional multidimensional model. J Stat Plan Inference 143(9):1590–1605CrossRef
33.
go back to reference Kucherenko S, Delpuech B, Iooss B, Tarantola S (2015) Application of the control variate technique to estimation of total sensitivity indices. Reliab Eng Syst Saf 134(C):251–259CrossRef Kucherenko S, Delpuech B, Iooss B, Tarantola S (2015) Application of the control variate technique to estimation of total sensitivity indices. Reliab Eng Syst Saf 134(C):251–259CrossRef
35.
go back to reference Shahri AA, Spross J, Johansson F, Larsson S (2019) Landslide susceptibility hazard map in southwest Sweden using artificial neural network. CATENA 183:104225CrossRef Shahri AA, Spross J, Johansson F, Larsson S (2019) Landslide susceptibility hazard map in southwest Sweden using artificial neural network. CATENA 183:104225CrossRef
36.
go back to reference Cho SE (2009) Probabilistic stability analyses of slopes using the ANN-based response surface. Comput Geotech 36(5):787–797CrossRef Cho SE (2009) Probabilistic stability analyses of slopes using the ANN-based response surface. Comput Geotech 36(5):787–797CrossRef
37.
go back to reference Pourghasemi HR, Jirandeh AG, Pradhan B, Xu C, Gokceoglu C (2013) Landslide susceptibility mapping using support vector machine and GIS at the Golestan Province, Iran. J Earth Syst Sci 122(2):349–369CrossRef Pourghasemi HR, Jirandeh AG, Pradhan B, Xu C, Gokceoglu C (2013) Landslide susceptibility mapping using support vector machine and GIS at the Golestan Province, Iran. J Earth Syst Sci 122(2):349–369CrossRef
38.
go back to reference Ercanoglu M (2008) An overview on the landslide susceptibility assessment techniques. In: 1st WSEAS international conference on environmental and geological science and engineering (EG’08), Malta, pp 11–13 Ercanoglu M (2008) An overview on the landslide susceptibility assessment techniques. In: 1st WSEAS international conference on environmental and geological science and engineering (EG’08), Malta, pp 11–13
39.
go back to reference Ghaderi A, Shahri AA, Larsson S (2019) An artificial neural network based model to predict spatial soil type distribution using piezocone penetration test data (CPTu). Bull Eng Geol Environ 78(6):4579–4588CrossRef Ghaderi A, Shahri AA, Larsson S (2019) An artificial neural network based model to predict spatial soil type distribution using piezocone penetration test data (CPTu). Bull Eng Geol Environ 78(6):4579–4588CrossRef
40.
go back to reference Sonam LB, Ratika P, Ghose MK (2015) A survey on landslide susceptibility mapping using soft computing. IOSR J Appl Geol Geophys (IOSR-JAGG) 3(1):16–20 Sonam LB, Ratika P, Ghose MK (2015) A survey on landslide susceptibility mapping using soft computing. IOSR J Appl Geol Geophys (IOSR-JAGG) 3(1):16–20
44.
go back to reference Isukapalli SS (199p) Uncertainty analysis of transport transformation models. Thesis (PhD), The State University of New Jersey Isukapalli SS (199p) Uncertainty analysis of transport transformation models. Thesis (PhD), The State University of New Jersey
46.
go back to reference Sudret B (2006) Global sensitivity analysis using polynomial chaos expansions. In: Spanos P, Deodatis G (eds) Proc. 5th int. conf. on comp. stoch. mech (CSM5), Rhodos Sudret B (2006) Global sensitivity analysis using polynomial chaos expansions. In: Spanos P, Deodatis G (eds) Proc. 5th int. conf. on comp. stoch. mech (CSM5), Rhodos
47.
go back to reference Phoon KK, Huang SP (2007) Geotechnical probabilistic analysis using collocation-based stochastic finite element method. In: Proc. X ICASP, Tokyo Phoon KK, Huang SP (2007) Geotechnical probabilistic analysis using collocation-based stochastic finite element method. In: Proc. X ICASP, Tokyo
48.
go back to reference Huang SP, Liang B, Phoon KK (2009) Geotechnical probabilistic analysis by collocation-based stochastic response surface method: an EXCEL add-in implementation. Georisk Assess Manag Risk Eng Syst Geohazards 3(2):75–86CrossRef Huang SP, Liang B, Phoon KK (2009) Geotechnical probabilistic analysis by collocation-based stochastic response surface method: an EXCEL add-in implementation. Georisk Assess Manag Risk Eng Syst Geohazards 3(2):75–86CrossRef
50.
go back to reference Huber M, Westrich B, Vermeer PA, Moorman C (2011) Response surface method in advanced reliability based design. In: Budelmann, Holst, Proske: Proceedings of the 9th international probabilistic workshop, Braunschweig. Institute of Geotechnical Engineering, University of Stuttgart Huber M, Westrich B, Vermeer PA, Moorman C (2011) Response surface method in advanced reliability based design. In: Budelmann, Holst, Proske: Proceedings of the 9th international probabilistic workshop, Braunschweig. Institute of Geotechnical Engineering, University of Stuttgart
52.
go back to reference Saltelli A, Tarantola S, Campolongo F, Ratto M (2004) Sensitivity analysis in practice: a guide to assessing scientific models. Wiley, New York Saltelli A, Tarantola S, Campolongo F, Ratto M (2004) Sensitivity analysis in practice: a guide to assessing scientific models. Wiley, New York
53.
go back to reference Pappenberger F, Rattomand Vandenberghe V (2010) Review of sensitivity analysis methods. In: Vanrolleghem PA (ed) Modelling aspects of water framework directive implementation. IWA Publishing, London, pp 191–265 Pappenberger F, Rattomand Vandenberghe V (2010) Review of sensitivity analysis methods. In: Vanrolleghem PA (ed) Modelling aspects of water framework directive implementation. IWA Publishing, London, pp 191–265
54.
go back to reference Saltelli A, Ratto M, Andres T, Campolongo F, Cariboni J, Gatelli D, Salsana M, Tarantola S (2008) Global sensitivity analysis—the primer. Wiley, New York Saltelli A, Ratto M, Andres T, Campolongo F, Cariboni J, Gatelli D, Salsana M, Tarantola S (2008) Global sensitivity analysis—the primer. Wiley, New York
55.
go back to reference Saltelli A, Ratto M, Tarantola S, Campolongo F (2006) Sensitivity analysis practices: strategies for model-based inference. Reliab Eng Syst Saf 91:1109–1125CrossRef Saltelli A, Ratto M, Tarantola S, Campolongo F (2006) Sensitivity analysis practices: strategies for model-based inference. Reliab Eng Syst Saf 91:1109–1125CrossRef
56.
go back to reference Phoon KK (2008) Reliability-based design in geotechnical engineering: computations and applications. Taylor & Francis, AbingdonCrossRef Phoon KK (2008) Reliability-based design in geotechnical engineering: computations and applications. Taylor & Francis, AbingdonCrossRef
57.
go back to reference Sudret B (2007) Uncertainty propagation and sensitivity analysis in mechanical models—contributions to structural reliability and stochastic spectral methods. Université Blaise Pascal, Clermont-Ferrand, France. Habilitation `a diriger des recherches Sudret B (2007) Uncertainty propagation and sensitivity analysis in mechanical models—contributions to structural reliability and stochastic spectral methods. Université Blaise Pascal, Clermont-Ferrand, France. Habilitation `a diriger des recherches
58.
go back to reference Sudret B (2014) Polynomial chaos expansions and stochastic finite element methods. In: Phoon K-K, Ching J (eds) Risk and reliability in geotechnical engineering, Chap 6. CRC Press, pp 265–300 Sudret B (2014) Polynomial chaos expansions and stochastic finite element methods. In: Phoon K-K, Ching J (eds) Risk and reliability in geotechnical engineering, Chap 6. CRC Press, pp 265–300
59.
go back to reference Achour Y, Pourghasemi HR (2020) How do machine learning techniques help in increasing accuracy of landslide susceptibility maps? Geosci Front 11:871–883CrossRef Achour Y, Pourghasemi HR (2020) How do machine learning techniques help in increasing accuracy of landslide susceptibility maps? Geosci Front 11:871–883CrossRef
Metadata
Title
Finite difference probabilistic slope stability analysis based on collocation-based stochastic response surface method (CSRSM)
Authors
Samir Ghedjati
Mohammed Lamara
Youcef Houmadi
Publication date
01-12-2020
Publisher
Springer International Publishing
Published in
Innovative Infrastructure Solutions / Issue 3/2020
Print ISSN: 2364-4176
Electronic ISSN: 2364-4184
DOI
https://doi.org/10.1007/s41062-020-00322-x

Other articles of this Issue 3/2020

Innovative Infrastructure Solutions 3/2020 Go to the issue