Failure of Slopes and Embankments Under Static and Seismic Loading


  • Nicolaos Alamanis Lecturer, Dept. of Civil Engineering, Technological Educational Institute of Thessaly, Larissa, Greece, Civil engineer (National Technical University of Athens, D.E.A Ecole Centrale Paris)


slope, embankment, failure, seismic action, tolerable movements, vulnerability curves, simulation, random fields, L.A.S. algorithm, fluctuations, permanent seismic displacements.


The stability of slopes and embankments under the influence of static and seismic loads has been the subject of study for many researchers. This paper presents the mechanisms and causes of landslides as well as the forms of failure of slopes and embankments under static and seismic loading, with examples of failures from both Greek and international space. There is also mention to measures to protect and stabilize landslides, categories of slope stability analysis, and methods of seismic impact analysis. What follows is the determination of tolerable movements based on the caused damage on natural slopes, dams and embankments and an attempt is made to connect them with the vulnerability curves that are one of the key elements of stochastic seismic hazard. Particular importance is given to the statistical parameters of the mechanical characteristics of the sloping soil mass and to the simulation of random fields necessary for solving complex geotechnical works. Finally, we compare the simulation and description of random fields and the L.A.S. method is observed to be the most accurate of all simulation methods. The L.A.S. algorithm in conjunction with finite difference models can demonstrate the large fluctuations in the factor of safety values and the permanent seismic displacements of the slopes under the effect of seismic charges whose time histories are known.


[1] Lee K.K., Cassidy M.J., Randolph M.F. (2012) Use of epoxy in developing miniature ball penetrometers for application in a geotechnical centrifuge, International Journal of Physical Modeling in Geotechnics, 12(3): 119-128.
[2] Budhu M. (2010). “Soil Mechanics and Foundations, (2010)” John Wiley & Sons, 3rd. Edition, NY.
[3] Pitilakis et al (2010). Physical vulnerability of elements at risk to landslides Methodology for evaluation, fragility curves and damage states for building and lifelines. Deliverable 2.5 in EUFP7 research project No 226479 SafeLand Living with landslide risk in Europe: Assessment, effects of global change and risk management strategies.
Pitilakis K. (2010). Geotechnical Seismic Engineering. Ziti Publications. ISBN 960-456-226-6.
Pitilakis K., (2011). Fragility functions for roadway system elements. Seventh Framework programme. Task Leader, Norwegian Geotechnical Institute.p.p. 7-10, 15-18, 55-71.
[4] Papadopoulos V. and Loupasakis K., (2014). Soil mechanics and foundation elements. NTUA, Athens, p.p. 1-22.
[5] Matasovic N. (1991). Selection of Method for Seismic Slope Stability Analysis. Proceedings of Second International Conference on recent Advances in Geotechnical Earthquake Engineering and Soil Dynamics March 11-15,1991, St.Luis, Missouri,Paper No 7.20.
[6] Anagnostopoulos, S.A., Rinaldis, D, Lekidis, V.A., Margaris, V.N., Theodoulidis N. P., (1987) “The Kalamata, Greece, Earthquake of September 13, 1986”, Earthquake Spectra, Vol.3, No 2, (1987), 365 – 402.
[7] Fountoulis I. G. and Mavroulis S.D. (2013). Application of the Environmental Seismic Intensity Scale (ESI 2007) and the European Macroseismic Scale (EMS-98) to the Kalamata (SW Peloponnese, Greece) earthquake (MS=6.2, September 13,1986) and correlation with neotectonic structures and active faults, Annals of Geophysics, 56,6,2013, S0675, doi 10.4401/AG-3237 p.p. 1-20.
[8] Dakoulas P. (1991). Stability of slopes and Earth Dams Under Earthquaqes : Concluding Remarks, Proceedings of the Second International Conference on Geotechnical Earthquaqe Engineering and Soil dynamics, St.Louis ,Missouri, March 11-15, Vol 3 , p.p. 2157.
Dakoulas P. (2003). Seismic Analysis of Gravity Quay Walls. Proceedings of International Workshop on Prediction and simulation in Geomechanics, 14-15, October 2003, Athens, Greece.
Dakoulas P. and Gazetas G. (2005). Seismic Effective Stress Analysis of Caisson Quay Walls: Application to Kobe, Journal of Soils and Foundations, 45(4),133-147
Dakoulas P. (2005). Advanced Soil Mechanics (Elasto-plastic Constitutive Models for soils). Notes for the Graduate Course Advanced Soil Mechanics, University of Thessaly, Greece, 400 pages.
Dakoulas P. (2008) Non-Linear 3D Analysis of the Construction, Filling and Seismic Response of Rockfill Dams (CFRD) - Important Parameters. University of Thessaly, Volos,
Dakoulas P. (2010) Soil dynamics. Teaching Notes. Civil Engineering Department University of Thessaly.
Dakoulas P. (2012) Soil Mechanics Teaching Notes. Civil Engineering Department University of Thessaly.
Prakash S. and Dakoulas P. (1994). Grand failures under Seismic Conditions, American Society of Civil Engineers, New York, p.p. 260.
[9] (2005) Omicron Kappa Consulting S.A., Athens, Greece.
[10]Ambraseys N, Srbrulov M. (1995). Soil Dynamics and Earthquake Engineering. Earthquake induced displacements of slopes. Volume 14, issue 1, 1995, p.p.59-71.
[11] Newmark, N.M. (1965). Effect of earthquakes on dams and embankments, Geotechnique, Vol. 15, No 2, London, England, June,p.p. 139-160
[12] Dawson E.M., Roth W.H.and Drescher A. (1999). Slope stability analysis by strength reduction. Geotechnique, 49 (6), p.p. 835-840
[13] Comodromos E, Pitilakis K. and Hatzigogos T. (1992a). Procédure Numérique pour la Simulation des Excavations des Sols Elastoplastiques. Revue Franç?ise de Geothechnique, 58, 51-66.
Comodromos E., Hatzigogos T.and Pitilakis K.(1992b). Finite Element Algorithm for Analyzing Geotechnical Problems with Variable Domain and Boundaries. In proc.IV Numer.Mod. in Geomech. 577-587, Swansea, U.K.
Comodromos E., Hatzigogos T.and Pitilakis, K. (1992c). Finite Element Algorithm for Simulating Problems with Variable Domain and Boundaries. In proc.1st National Congress on Computational Mechanics, GRACH, Athens, Greece, 274-281.
Comodromos E. and Naskos N. (1999). Stabilization of a building in a landslide area with an anchored capped pile structure. Cost C7 Workshop on Soil Structure-Interaction, 129-143.
Comodromos A., (2008). Soil-Construction Interaction. University of Thessaly, Volos, pp.6-7 and 18-57.
Comodromos A., (2008). Computational Geotechnical Engineering. Soil-Construction Interaction. Klidarithmos Publications, Athens, P.27-28, 88-92, 157-162 and 341-397.
[14] Gazetas G and Dakoulas P. (1991). Seismic analysis and design of rockfill dams: state-of-the-art. Soil Dynamics and Earthquakes Engineering 11, p.p. 27-61.
Gazetas G., Dakoulas P. and Papageorgiou A. (1990). Local-Soil and Source-Mechanism Effects in the 1986 Kalamata (Greece) Earthquake, Journal of Earthquake Engineering and Structural Dynamics, Vol 19, p.p.431-456.
Gazetas G., Dakoulas P. and Anastasopoulos J. (2005). Failure of the quay walls during the Lefkada 14-8-2003 Earthquake, 5th Greek Conference in Geotechnical Engineering, Xanthi, Vol 2,159-166.
[15] Seed, H.B. et al (1973). Analysis s of the slides in the San Fernando Dams during the earthquake of Feb, 9, 1971, Report No EERC 73-2, Univ Calif, Berkeley, 1973.
Seed, H.B. and Idriss, I.M. (1992). Ground motions and soil liquefaction during earth-quakes, Earthquake Engineering Research Institute, Berkeley, CA, p.p.134-135
[16]Travassarou Th. (2006). Probabilistic Methodology for the Calculation of Remaining Seismic Shifts in Slopes. Oakland, USA.5th Panhellenic Geotechnical Conference, TEE, Xanthi, p.p.18.
[17]Vougioukas E, Dimitrakopoulou K., Mantadakis V., (2011). Vulnerability of public utility networks. NTUA Athens July 2011.
[18] NIBS (2004). HAZUS: Hazard US: Earthquake Loss Estimation Methodology. National Institute of Building Sciences, NIBS document 5200-03, Washington, DC.
[19] Bray, J.D., and Travasarou, Th. (2009). Pseudostatic coefficient for use in simplified seismic slope stability evaluation. Journal of Geotechnical and Geoenvironmental Engineering. 135(9), 1336-1340.
[20] Fortsakis P., Stylianidis E. and Kavvadas M. (2010). Stability of Slope Slopes using Stochastic Methods.6th Pan-Hellenic Conference of Geotechnical and Geoenvironmental Engineering, TEE, p.p.1-8.
[21] Baecher G. and Christian J. (2003): Geotechnical reliability: playing cards with the universe, Proc. Pan-American Conf. on SMGE (Soil and Rock America 2003), Vol.2, p.p.2751-2755
[22] Mostyn G.R. and Soo S., (1992). The effect of autocorrelations on the probability of failure slopes. Proceedings of 6th Australia, New Zealand Conference on Geomechanics: Geotechnical Risk 542-546, Christchurch, 3-7 February, New Zealand Geomechanics Society Wellington.
[23] Griffiths D.V. and Fenton G.A (2007). Probabilistic methods in geotechnical engineering. CISM courses and lectures No 491, International centre for mechanical sciences, Springer Wien, New York.
Griffiths D.V. and Fenton G.A. (2004) Probabilistic slope stability analysis by finite elements. NSF Grant No CMS-9877189, p.p. 1-27.
Griffiths D.V. Huang J. (2009) Influence of Spatial Variability on Slope Reliability Using 2-D Random Fields. Journal of Geotechnical and geoenviromental engineering ASCE/October 2009/ p.p 1367-1375.
Griffiths D.V., Huang J. and Fenton G.A. (2010). Probabilistic infinite slope analysis. (Infoslope 2010), p.p. 1-3
Griffiths, D.V. and Lane P.A. (1999). Slope stability Analysis by finite Elements, Geothechnique, vol.49, No 3 p.p. 387-403.
Griffiths, D.V., and Prevost, J.H., (1988). Two and three-dimensional dynamic finite element analyses of the Long Valley dam, Geotechnique, 1988.
[24] Fenton A.G. and Vanmarcke EH (1990). Simulation of Random Fields via Local Average Subdivision, Journal of Engineering Mechanics, Vol.116, No 8 p.p. 1733-1749
Fenton, G.A. and Griffiths, D, V. (2002). Probabilistic foundation Settlement on spatially random Soil. Journal of Geotechnical and Geoenvironmental, p.p.128(S), 381-390.
Fenton and Griffiths (2003). Bearing- capacity prediction of spatially random c-phi soils. Canadian Geotechnical Journal, p.p 40, 54-65.
Fenton G.A., Griffiths D.V. and Urquhart A. (2003). A slope stability model for spatially random soils. In Proc. 9th Int. Conf. Applications of Statistics and Probability in Civil Engineering (ICASP9), A. Kiureghian et al. Eds Millpress, San Fransisco, CA, p.p 1263-1269.
Fenton GA, Griffiths DV. (2007). Random field generation and local average subdivision method. New York. CISM Courses and Lectures.
Fenton A.G. and Griffiths D.V. (2008). Risk Assessment in Geotechnical Engineering. John Viley and Sons, Inc. ISBN: 978-0-470-17820-1 p.p. 91-235, 381-392.
[25] Harr M.E. (1987). Reliability-based design in civil engineering. Mc- Graw-Hill, New York.
[27] Phoon K.K, Kulhawy F.H. (1999). Characterization of geotechnical variability. Canadian Geotechnical Journal 36(4): 612-624
Phoon K.K. and Kulhawy F.H. (1999). Characterization of geotechnical variability. Can Geotech. 36:612-624, 1999.
Phoon K.K. and Kulhawy F.H. (1999). Evaluation of geotechnical property variability. Canadian Geotechnical Journal, p.p.36, 625-639.
Phoon K.K., Kulhawy F.H., Grigoriu M.D. (1995). Reliability-based design for transmission line structure foundations. Computers and geotechnics, 2000, 26(3): p.p. 169-185.
[28] Lacasse S., Nadim F,(1997).Uncertainties in characterising soil properties. Norwegian Geotech Inst.201 (2): p.p. 49-75.
[29] Suchomel R. and Masin D. (2010). Comparison of different probabilistic methods for predicting stability of a slope in spatially variable c-phi soil. Computers and Geotechnics 37, No 1-2, p.p. 132-140.
[30] Duncan J.M., (2000). Factors of safety and reliability in geotechnical engineering. Geotech Geoenviron Eng. 126(4) 307-16.
Duncan, J.M., and Wright, S.G. (1980). The accuracy of equilibrium methods of slope stability analysis. Engineering Geology (also, Proceedings of the International Symposium on Landslides, New Delhi, India, June, 1980), 16(1), p.p. 5-17.
Duncan J.M. Wright GS, and Brandon TL, (2014) Soil Strength and Slope Stability. Willey and Sons, New Jersey.
[31] Jeremic B. and Sett K. (2007). Uncertain soil properties and elastic-plastic simulations in geomechanics, Geotechnical Special Publications 2007, p.p. 9.
[32] El-Ramly H., Morgestern N.R. and Cruden D.M (2002). Probabilistic slope stability analysis for practice. Canadian Geotechnical Journal, 39, p.p.665-683
[33] Schweiger H.F and Peschl G.M., (2005). Reliability analysis in geotechnics with a random set finite element method. Comput Geotech 32, p.p. 422-435.
[34] Harr M.E. (1987). Reliability-based design in civil engineering. Mc- Graw-Hill, New York.
[35] Cherubini C. and Giasi C., (1997). The influence of vegetation on slope stability. Engineering geology and the environment. Proc symposium, Athens, 1997, vol.1, p.p. 67-61
[36] Li K.S. and Lumb P. (1987). Probabilistic design of slopes. Canadian Geotechnical Journal, 24(4), p.p 520-535.
[37] Smith I., Adachi T., Oka F., Hirata T., Hashimoto T., Nagaya J., Mimura M. and Pradhan, T.B.S. (1995) “Stress-strain behavior and yielding characteristics of Eastern Osaka Clay,” Soils and Foundations, 35(3) p.p 1-13.
[38] Hicks M.A. and Samy K (2002). Influence of heterogeneity of undrained clay slope stability. Quarterly Journal of Engineering Geology and Hydrogeology, 35 (1), p.p. 41-49.
Hicks M.A. and Samy K (2004). Stochastic evaluation of heterogeneous slope stability. Italian Geotechnical Journal, p.p.38 (2), 54-66.
[39] WangY., Zijun C., Siu-Kui A. (2010) Practical reliability analysis of slope stability by advanced Monte Carlo simulations in a spreadsheet. Canadian Geotechnical Journal, 2011, 48(1): 162-172, 10.1139/T10-044
[40] Rackwitz R., (2000). Reviewing probabilistic soils modeling. Elsevier Science Ltd. Computers and Geotechnics 26 (2000) p.p. 199-223.
[41] Vorechovsky M., (2007). Simulation of simply cross correlated random fields by series expansions methods. Science Direct. Elsevier LTD, p.p.337-362.
[42] Orr T.L.L., and Breysse., D. (2008). Eurocode 7 and reliability-based design in geotechnical engineering. Edited by K.K. Phoon. Taylor and Francis, Oxon, UK. p.p. 298–343.
[43] Hara T., Honjo Y. et al. (2011) Application of reliability based design (RBD) to Eurocode 7 Reference: ISGSR 2011 - Vogt, Schuppener, Straub & Bräu (eds) 2011 Bundesanstalt für Wasserbau mit State Design in Geotechnical Engineering Practice.
[44] Lumb P. (1970). Probability of failure in earth works, Proc. Of the 2 Southest Asian Conference of Soil Engineering, Singapore.
[45] Matsuo M., Kuroda K. (1974) Probabilistic approach to design of embankments. 19F, 6T, 13R Soils Found. V14, N2, June 1974, P-17
[46] Wolff T.F. (1996). “Probabilistic slope stability in theory and practice” in Uncertainty in the Geological Enviroment:From Theory to Practice, Geotechnical Special Publication No 58, C.D. Shackelford etal. Eds., American Society of Civil Engineers, New York, p.p 419-433.
[47] Srivastava A., Sivakumar Babu G.L (2009). Effect of soil variability on the bearing capacity of clay and in slope stability problems. Engineering Geology Volume 108 Issues 1-2, 14 September 2009, p.p 142–152
[48] Chowdhury RN, Xu DW. (1995). Geotechnical system reliability of slopes. Reliability Engineering and System Safety 47(3): 141-151
[49] Low, B.K. and Wilson H. Tang (1997). "Probabilistic slope analysis using Janbu's generalized procedure of slices." Computers and Geotechnics, Elsevier, U.K., Vol. 21, No. 2, 121-142.
[50] Wu X.Z., (2013). Probabilistic slope stability analysis by a copula-based sampling method. Computational Geosciences October 2013, Volume 17, Issue 5, p.p. 739-755.
Wu Xing Zheng (2013).Trivariate analysis of soil ranking correlated characteristics and its application to probabilistic stability assessments in geotechnical engineering problems, Soils and Foundations, Volume 53, Issue 4, August 2013, p.p. 540-556,.
[51] Charalambopoulos N., (2015). Probabilistic Stability Analysis of Soil Slopes. University of Crete, Chania, p.p.15-26.
[52] Sudret B. and Berveiller M., (2008). Stochastic finite element methods in geotechnical engineering. Chapter 7 from the textbook: Reliability-Based Design in Geotechnical Engineering, edt: Phoon K.-K, Taylor&Francis, Oxon, UK
[53] Bishop A. W. (1955). "The use of the Slip Circle in the Stability Analysis of Slopes". Géotechnique. 5: 7. .p.p 1-11
[54] Fellenius W. (1936). Calculation of the stability of earth dams. Proceedings of the 2nd Congress on Large Dams, Washington DC, Pensylvania, USA.
[55] Bounou A.A., (2012). Comparative Assessment of Numerical Solutions of the Slope Stability Problem with Finite Element, Finite Difference and Marginal Balance Methods. Technical University of Crete, Chania, p.p.4-23, 58-67.
[56] Alamanis N.O (2017), Effect of spatial variability of soil properties in permanent seismic displacements of road slopes. Doctoral dissertation: University of Thessaly Department of Civil Engineering, Geotechnical Engineering Sector p.p. 18-95, Supervisor: P.Dakoulas.