Abstract
The geotechnical properties of municipal solid waste (MSW) in landfills vary considerably depending on the composition, time, and the rate of waste density. This variability in geotechnical properties leads to many uncertainties in the analysis of landfill slope stability. This study, using probabilistic methods investigates the slope stability and the probability of failure of a Kahrizak landfill under the conditions of spatial variability of physical and geotechnical properties of MSW. To achieve this goal, the random field theory has been used with a finite difference numerical method in the framework of the Monte Carlo simulation. MSW’s shear strength parameters such as cohesion and friction angle as well as the unit weight of layers are considered as random variables. An extensive literature review was conducted to address the probable variation of above-mentioned parameters in Kahrizak landfill. The results of several different laboratory researches on MSW samples collected from Kahrizak landfill were also employed in the modelings. Output results are presented in the form of probability distributions of the factor of safety as well as the probability of failure corresponding to these distributions. Moreover, the effect of various parameters such as coefficient of variation and correlation distance of input parameters on these output results has been investigated. The results show that considering the spatial variability in probabilistic methods would help to determine the various mechanisms affecting the performance and the probability of failure of the landfill slope. In addition, the output of such probabilistic analyses can be used as guidance for engineers to design safe and reliable landfill.
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References
Aburatani S, Matsui T, Kamon M, Wada M (1998) Geotechnical characteristics of incinerated MSW ash reclamation sites of Osaka Bay Phoenix project. Environ. Geotech., Seco e Pinto, ed., 95–100
Alidoust P, Keramati M, Shariatmadari N (2018) Laboratory studies on effect of fiber content on dynamic characteristics of municipal solid waste. Waste Manag, Elsevier BV 76:126–137. https://doi.org/10.1016/j.wasman.2018.02.038
Ang AH, Tang WH (2007) Probability concepts in engineering: emphasis on applications in civil & environmental engineering, vol 1. Wiley, New York
Babu GLS, Reddy KR, Srivastava A (2014) Influence of spatially variable geotechnical properties of MSW on stability of landfill slopes. J Hazard Toxic Radioact Waste [internet]. American Society of Civil Engineers (ASCE) 18(1):27–37. https://doi.org/10.1061/(asce)hz.2153-5515.0000177
Baecher GB, Christian JT (2003) Reliability and statistics in geotechnical engineering. Wiley, Chichester
Bhattacharya G, Chowdhury R, Metya S (2017) Residual factor as a variable in slope reliability analysis. Bull Eng Geol Environ. Springer Nature 78(1):147–166. https://doi.org/10.1007/s10064-017-1085-5
Blight G (2008) Slope failures in municipal solid waste dumps and landfills: a review. Waste Manag Res. SAGE Publications 26(5):448–463. https://doi.org/10.1177/0734242x07087975
Caicedo B, Giraldo E, Yamin L, Soler N (2002a) In: 175 (ed) The landslide of Dona Juana landfill in Bogota. A case study. Proc., 4th Int. congress on environmental geotechnics, Vol. 1, Balkema, Rotterdam, The Netherlands, p 171
Caicedo B, Yamin L, Giraldo E, Coronado O (2002b) Geomechanical properties of municipal solid waste in Dona Juana sanitary landfill. Proc., 4th Int. congress on environmental geotechnics, Vol. 1, Balkema, Rotterdam, The Netherlands, pp 177–182
Chang M (2005) Three-dimensional stability analysis of the Kettleman Hills landfill slope failure based on observed sliding-block mechanism. Comput Geotech. Elsevier BV 32(8):587–599. https://doi.org/10.1016/j.compgeo.2005.11.002
Ching J, Phoon KK, Wu SH (2016) Impact of statistical uncertainty on geotechnical reliability estimation. J Eng Mech 142(6)
Chugh AK, Stark TD, DeJong KA (2007) Reanalysis of a municipal landfill slope failure near Cincinnati, Ohio, USA. Can Geotech J. Canadian Science Publishing 44(1):33–53. https://doi.org/10.1139/t06-089
Dawson EM, Roth WH, Drescher A (1999) Slope stability analysis by strength reduction. Géotechnique. Thomas Telford Ltd. 49(6):835–840. https://doi.org/10.1680/geot.1999.49.6.835
Del Greco O, Oggeri C (1994) Shear resistance tests on municipal solid wastes. Proc., 1st ICEG, BiTech publishers, Edmonton
Dixon N, Jones DRV (2005) Engineering properties of municipal solid waste. Geotext Geomembr. Elsevier BV 23(3):205–233. https://doi.org/10.1016/j.geotexmem.2004.11.002
Eid HT, Stark TD, Evans WD, Sherry PE (2000) Municipal solid waste slope failure. I: waste and foundation soil properties. J Geotech Geoenviron American Society of Civil Engineers (ASCE) 126(5):397–407. https://doi.org/10.1061/(asce)1090-0241(2000)126:5(397
El-Ramly H, Morgenstern NR, Cruden DM (2002) Probabilistic slope stability analysis for practice. Can Geotech J. Canadian Science Publishing 39(3):665–683. https://doi.org/10.1139/t02-034
Ering P, Babu GLS (2015) Slope stability and deformation analysis of Bangalore MSW landfills using constitutive model. Int J Geomech. American Society of Civil Engineers (ASCE) 16(4):04015092. https://doi.org/10.1061/(asce)gm.1943-5622.0000587
Feng SJ (2005) Static and dynamic strength properties of municipal solid waste and stability analyses of landfill. PhD thesis of Zhejiang University, Hangzhou. (in Chinese)
Feng SJ, Cao BY, Bai ZB, Yin ZY (2016) Constitutive model for municipal solid waste considering the effect of biodegradation. Géotechnique Letters 6(4):244–249
Feng S-J, Chen Z-W, Chen H-X, Zheng Q-T, Liu R (2018) Slope stability of landfills considering leachate recirculation using vertical wells. Eng Geol. Elsevier BV 241:76–85. https://doi.org/10.1016/j.enggeo.2018.05.013
Fenton GA, Griffiths DV (2008) Risk assessment in geotechnical engineering. Wiley, Hoboken. https://doi.org/10.1002/9780470284704
Gabr M, Valero S (1995) Geotechnical properties of municipal solid waste. Geotech Test J. ASTM International 18(2):241–251. https://doi.org/10.1520/gtj10324j
Griffiths DV, Fenton GA (2001) Bearing capacity of spatially random soil: the undrained clay Prandtl problem revisited. Géotechnique. Thomas Telford Ltd. 51(4):351–359. https://doi.org/10.1680/geot.51.4.351.39396
Griffiths DV, Fenton GA (2004) Probabilistic slope stability analysis by finite elements. J Geotech Geoenviron. American Society of Civil Engineers (ASCE) 130(5):507–518. https://doi.org/10.1061/(asce)1090-0241(2004)130:5(507
Griffiths DV, Fenton GA (2007) Probabilistic methods in geotechnical engineering. In: CISM Courses and Lectures. Springer, Vienna. https://doi.org/10.1007/978-3-211-73366-0
Griffiths DV, Lane PA (1999) Slope stability analysis by finite elements. Géotechnique Thomas Telford Ltd 3:387–403. https://doi.org/10.1680/geot.1999.49.3.387
Griffiths DV, Fenton GA, Denavit MD (2007) Traditional and advanced probabilistic slope stability analysis. In: Probabilistic Applications in Geotechnical Engineering. American Society of Civil Engineers, Reston. https://doi.org/10.1061/40914(233)19
Grisolia M, Napoleoni Q, Tangredi G (1995) The use of triaxial tests for the mechanical characterization of municipal solid waste. Proc., 5th Int. landfill symposium -Sardinia ‘95, Cagliari (I), Environmental Sanitary Engineering Centre (CISA), Vol. 2, Balkema, Rotherdam, The Netherlands, 761–767
Grisolia M, Napoleoni Q (1996) Geotechnical characterization of municipal solid waste: choice of design parameters. Proc., 2nd Int. congress on environ. Geotech., Balkema, Rotherdam, The Netherlands, pp 641–646
Hossain MS (2002) Mechanics of compressibility and strength of solid waste in bioreactor landfills, PhD dissertation, Department of Civil Engineering. North Carolina State University at Raleigh, NC
Houston WN, Houston SL, Liu JW, Elsayed A, Sanders CO (1995) In-situ testing methods for dynamic properties of MSW landfills. In Proceedings of specialty conference on earthquake design and performance of solid waste landfills, Geotechnical special publication 54, ASCE, San Diego, CA, October, 1995, 73–82
Huang J, Lyamin AV, Griffiths DV, Krabbenhoft K, Sloan SW (2013) Quantitative risk assessment of landslide by limit analysis and random fields. Comput Geotech. Elsevier BV 53:60–67. https://doi.org/10.1016/j.compgeo.2013.04.009
Itasca Consulting Group I (2015) FLAC Fast Lagrangian Analysis of Continua and FLAC/Slope –User’s Manual
Jahanfar A, Dubey B, Gharabaghi B, Movahed SB (2016) Landfill failure mobility analysis: a probabilistic approach. Int J Environ Chem Ecol Geol Geophys Eng 10:476–484. https://doi.org/10.5281/zenodo.1124319
Jahanfar A, Gharabaghi B, McBean EA, Dubey BK (2017) Municipal solid waste slope stability modeling: a probabilistic approach. J Geotech Geoenviron. American Society of Civil Engineers (ASCE) 143(8):04017035. https://doi.org/10.1061/(asce)gt.1943-5606.0001704
Jamshidi Chenari R, Alaie R (2015) Effects of anisotropy in correlation structure on the stability of an undrained clay slope. Georisk: Assessment and Management of Risk for engineered systems and Geohazards. Informa UK Limited 9(2):109–123. https://doi.org/10.1080/17499518.2015.1037844
Jessberger HL, Kockel R (1995) Determination and assessment of the mechanical properties of waste materials. In Symposium GREEN'93-Geotechnics related to the environment:313–322
Jiang SH, Huang J (2018) Modeling of non-stationary random field of undrained shear strength of soil for slope reliability analysis. Soils Found 58(1):185–198. https://doi.org/10.1016/j.sandf.2017.11.006
Karimpour-Fard M, Machado SL, Shariatmadari N, Noorzad A (2011) A laboratory study on the MSW mechanical behavior in triaxial apparatus. Waste Manag. Elsevier BV 31(8):1807–1819. https://doi.org/10.1016/j.wasman.2011.03.011
Kavazanjian E, Matasovic N, Bonaparte R, Schmertmann, GR (1995) Evaluation of MSW properties for seismic analysis. In Proceedings of the specialty conference on geotechnical practice in waste disposal. Part 1, 1126–1141
Kavazanjian ED Jr, Matasovic NE, Bachus RC (1999) Large-diameter static and cyclic laboratory testing of municipal solid waste. Proceedings Sardinia 99:437–444
Koerner RM, Soong TY (2000) Stability assessment of ten large landfill failures. In: Advances in Transportation and Geoenvironmental Systems Using Geosynthetics. American Society of Civil Engineers, Reston. https://doi.org/10.1061/40515(291)1
Landva AO, Clark JI (1986) Geotechnical testing of wastefill. Proc., 39th Canadian Geotech. Conf. Ottawa, Canadian geotechnical society, Ottawa geotechnical group, Ottawa, ON, pp 371–385
Landva AO, Clark JI (1990) Geotechnics of waste fill-theory and practice. STP 1070, A. Landva and G.D. Knowles, eds., ASTM, 86–103
Li DQ, Jiang SH, Cao ZJ, Zhou W, Zhou CB, Zhang LM (2015) A multiple response-surface method for slope reliability analysis considering spatial variability of soil properties. Eng Geol. Elsevier BV 187:60–72. https://doi.org/10.1016/j.enggeo.2014.12.003
Liu LL, Cheng YM, Wang XM, Zhang SH, Wu ZH (2017) System reliability analysis and risk assessment of a layered slope in spatially variable soils considering stratigraphic boundary uncertainty. Comput Geotech Elsevier BV 89:213–225. https://doi.org/10.1016/j.compgeo.2017.05.014
Machado SL, Carvalho MF, Vilar OM (2002) Constitutive model for municipal solid waste. J Geotech Geoenviron. American Society of Civil Engineers (ASCE) 128(11):940–951. https://doi.org/10.1061/(asce)1090-0241(2002)128:11(940
Machado SL, Karimpour-Fard M, Shariatmadari N, Carvalho MF, do Nascimento JC (2010) Evaluation of the geotechnical properties of MSW in two Brazilian landfills. Waste Manag. Elsevier BV 30(12):2579–2591. https://doi.org/10.1016/j.wasman.2010.07.019
Mahler CF, De Lamare Netto A (2003) Shear resistance of mechanical biological pre-treated domestic urban waste. In Proceedings Sardinia, 6–10
Malkawi AI, Hassan WF, Abdulla FA (2000) Uncertainty and reliability analysis applied to slope stability. Struct Saf. Elsevier BV 22(2):161–187. https://doi.org/10.1016/s0167-4730(00)00006-0
Manassero M, Van Impe WF, Bouazza A (1996) Geotechnical properties of MSW. Proc of the Intern Congress on Environmental Geotechnics 3:1425–1474
Mazzucato A, Simonini P, Colombo S (1999) Analysis of block slide in a MSW landfill. Proc., 7th Int. waste manage. Landfill Symp., Vol. 3, environmental sanitary engineering Centre (CISA), Cagliari, Italy, pp 537–544
Mitchell RA, Mitchell JK (1992) Stability evaluation of waste landfills. ASCE Specialty Conference on Stability and Performance of Slopes and Embankments. U.C. Berkeley. ASCE Geotechnical Special Publication No. 31. 1152–1187
Nguyen TS, Likitlersuang S (2019) Reliability analysis of unsaturated soil slope stability under infiltration considering hydraulic and shear strength parameters. Bulletin of Engineering Geology and the Environment. Springer Nature. 1–17 https://doi.org/10.1007/s10064-019-01513-2
Pelkey SA, Valsangkar AJ, Landva A (2001) Shear displacement dependent strength of municipal solid waste and its major constituent. Geotech Test J 24(4):381–390. https://doi.org/10.1520/gtj11135j
Phoon KK, Kulhawy FH (1999a) Evaluation of geotechnical property variability. Can Geotech J. Canadian Science Publishing 36(4):625–639. https://doi.org/10.1139/t99-039
Phoon KK, Kulhawy FH (1999b) Characterization of geotechnical variability. Can Geotech J. Canadian Science Publishing 36(4):612–624. https://doi.org/10.1139/t99-038
Press WH, Teukolsky SA, Vetterling WT, Flannery BP (1992) Numerical recipes in C++. In: The art of scientific computing, 2. Cambridge University Press, Cambridge
Rajesh S, Babel K, Mishra SK (2016) Reliability-based assessment of municipal solid waste landfill slope. J Hazard Toxic Radioact Waste. American Society of Civil Engineers (ASCE) 21(2):04016016. https://doi.org/10.1061/(asce)hz.2153-5515.0000333
Reddy KR, Gangathulasi J, Hettiarachchi H, Bogner J (2008) Geotechnical properties of municipal solid waste subjected to leachate recirculation. In GeoCongress 2008: Geotechnics of Waste Management and Remediation, pp. 144–151
Reddy KR, Gangathulasi J, Parakalla NS, Hettiarachchi H, Bogner JE, Lagier T (2009a) Compressibility and shear strength of municipal solid waste under short-term leachate recirculation operations. Waste Manag Res 27(6):578–587
Reddy KR, Hettiarachchi H, Parakalla NS, Gangathulasi J, Bogner JE (2009b) Geotechnical properties of fresh municipal solid waste at Orchard Hills landfill, USA. Waste Manag 29(2):952–959
Reddy KR, Hettiarachchi H, Gangathulasi J, Bogner JE (2011) Geotechnical properties of municipal solid waste at different phases of biodegradation. Waste Manag 31(11):2275–2286
Reddy KR, Kulkarni HS, Srivastava A, Babu GLS (2013) Influence of spatial variation of hydraulic conductivity of municipal solid waste on performance of bioreactor landfill. J Geotech Geoenviron. American Society of Civil Engineers (ASCE) 139(11):1968–1972. https://doi.org/10.1061/(asce)gt.1943-5606.0000930
Reddy KR, Kumar G, Giri RK, Basha BM (2018) Reliability assessment of bioreactor landfills using Monte Carlo simulation and coupled hydro-bio-mechanical model. Waste Manag. Elsevier BV 72:329–338. https://doi.org/10.1016/j.wasman.2017.11.010
Shariatmadari N, Sadeghpour AH, Razaghian F (2014) Effects of aging on shear strength behavior of municipal solid waste. Int J Civil Eng 12(3):226–237
Shariatmadari N, Sadeghpour AH, Mokhtari M (2015) Aging effect on physical properties of municipal solid waste at the Kahrizak landfill, Iran. Int J Civil Eng 13:126–136
Sia AHI, Dixon N (2012) Numerical modelling of landfill lining system–waste interaction: implications of parameter variability. Geosynth Int. Thomas Telford Ltd 19(5):393–408. https://doi.org/10.1680/gein.12.00025
Siegel RA, Robertson RJ, Anderson DG (1990) Slope stability investigations at a landfill in southern California. In geotechnics of waste fills—theory and practice. ASTM International
Stark TD, Huvaj-Sarihan N, Li G (2009) Shear strength of municipal solid waste for stability analyses. Environ Geol. Springer Science and Business Media LLC 57(8):1911–1923. https://doi.org/10.1007/s00254-008-1480-0
Stoll OW (1971) Mechanical properties of milled refuse. In: Proceedings of the ASCE National Water Resources Engineering Meeting. Phoenix, Ariz, pp 11–15
U.S. Army Corps of Engineers (USACE) (1997) Engineering and design: introduction to probability and reliability methods for use in geotechnical engineering, Eng. Circ. 1110–2-547. U.S. Dept. of the Army, Washington, DC
Vanmarcke EH (1983) Random fields: analysis and synthesis. ISBN 0-262-72045-0. MIT Press, Cambridge
Vilar OM, Carvalhod M (2004) Mechanical properties of municipal solid waste. J Test Eval 32(6):438–449
Wang Y, Zhao T (2017) Statistical interpretation of soil property profiles from sparse data using Bayesian compressive sampling. Géotechnique 67(6):523–536
Wang Y, Cao Z, Au SK (2011) Practical reliability analysis of slope stability by advanced Monte Carlo simulations in a spreadsheet. Can Geotech J. Canadian Science Publishing 48(1):162–172. https://doi.org/10.1139/t10-044
Withiam JL, Bushell TD, Germann HW (1995) Prediction and performance of municipal landfill slope. Proc., specialty Conf. Geoenviron 2000, Geotech. Spec. Publ., ASCE, New York, 46(2): 1005–1019
Zekkos DP (2005) Evaluation of static and dynamic properties of municipal solid waste Ph.D. Dissertation, University of California
Zekkos D, Bray JD, Kavazanjian JE, Matasovic N, Rathje EM, Riemer MF, Stokoe KH (2006) Unit weight of municipal solid waste. J Geotech Geoenviron 132(10):1250–1261. https://doi.org/10.1061/(ASCE)1090-0241(2006)132:10(1250)
Zekkos D, Fei X (2016) Constant load and constant volume response of municipal solid waste in simple shear. Waste Manag. Elsevier BV 63:380–392. https://doi.org/10.1016/j.wasman.2016.09.029
Zhan TLT, Chen YM, Ling WA (2008) Shear strength characterization of municipal solid waste at the Suzhou landfill, China. Eng Geol. Elsevier BV 97(3–4):97–111. https://doi.org/10.1016/j.enggeo.2007.11.006
Zhao T, Hu Y, Wang Y (2018) Statistical interpretation of spatially varying 2D data from sparse measurements using Bayesian compressive sampling. Eng Geol 246:162–175
Zhu D, Griffiths DV, Fenton GA (2018) Worst-case spatial correlation length in probabilistic slope stability analysis. Géotechnique. Thomas Telford Ltd 69(1):85–88. https://doi.org/10.1680/jgeot.17.t.050
Zwanenburg C, Knoeff JG, Hounjet MWA (2007) Geotechnical characterization of waste. Proc.11th international waste management and landfill symposium, Sardinia
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Mehdizadeh, M.J., Shariatmadari, N. & Karimpour-Fard, M. Probabilistic slope stability analysis in Kahrizak landfill: effect of spatial variation of MSW’s geotechnical properties. Bull Eng Geol Environ 79, 2679–2695 (2020). https://doi.org/10.1007/s10064-019-01688-8
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DOI: https://doi.org/10.1007/s10064-019-01688-8