Reliability-based settlement analysis of embankments over soft soils reinforced with T-shaped deep cement mixing piles
Chana PHUTTHANANON, Pornkasem JONGPRADIST, Daniel DIAS, Xiangfeng GUO, Pitthaya JAMSAWANG, Julien BAROTH
Reliability-based settlement analysis of embankments over soft soils reinforced with T-shaped deep cement mixing piles
This paper presents a reliability-based settlement analysis of T-shaped deep cement mixing (TDM) pile-supported embankments over soft soils. The uncertainties of the mechanical properties of the in-situ soil, pile, and embankment, and the effect of the pile shape are considered simultaneously. The analyses are performed using Monte Carlo Simulations in combination with an adaptive Kriging (using adaptive sampling algorithm). Individual and system failure probabilities, in terms of the differential and maximum settlements (serviceability limit state (SLS) requirements), are considered. The reliability results for the embankments supported by TDM piles, with various shapes, are compared and discussed together with the results for conventional deep cement mixing pile-supported embankments with equivalent pile volumes. The influences of the inherent variabilities in the material properties (mean and coefficient of variation values) on the reliability of the piled embankments, are also investigated. This study shows that large TDM piles, particularly those with a shape factor of greater than 3, can enhance the reliability of the embankment in terms of SLS requirements, and even avoid unacceptable reliability levels caused by variability in the material properties.
T-shaped deep cement mixing piles / piled embankments / settlement / reliability analysis / soil uncertainties
[1] |
Huang J, Han J, Oztoprak S. Coupled mechanical and hydraulic modelling of geosynthetic-reinforced column-supported embankments. Journal of Geotechnical and Geoenvironmental Engineering, 2009, 135( 8): 1011– 1021
CrossRef
Google scholar
|
[2] |
Huang J, Han J. 3D coupled mechanical and hydraulic modeling of a geosynthetic-reinforced deep mixed column-supported embankment. Geotextiles and Geomembranes, 2009, 27( 4): 272– 280
CrossRef
Google scholar
|
[3] |
Yapage N N S, Liyanapathirana D S, Kelly R B, Poulos H G, Leo C J. Numerical modeling of an embankment over soft ground improved with deep cement mixed columns: Case history. Journal of Geotechnical and Geoenvironmental Engineering, 2014, 140( 11): 04014062
CrossRef
Google scholar
|
[4] |
Yapage N N S, Liyanapathirana D S, Poulos H G, Kelly R B, Leo C J. Numerical modeling of geotextile-reinforced embankments over deep cement mixed columns incorporating strain-softening behavior of columns. International Journal of Geomechanics, 2015, 15( 2): 04014047
CrossRef
Google scholar
|
[5] |
Jamsawang P, Yoobanpot N, Thanasisathit N, Voottipruex P, Jongpradist P. Three-dimensional numerical analysis of a DCM column-supported highway embankment. Computers and Geotechnics, 2016, 72 : 42– 56
CrossRef
Google scholar
|
[6] |
Chai J C, Shrestha S, Hino T, Ding W Q, Kamo Y, Carter J. 2D and 3D analyses of an embankment on clay improved by soil–cement columns. Computers and Geotechnics, 2015, 68 : 28– 37
CrossRef
Google scholar
|
[7] |
Huang J, Han J. Two-dimensional parametric study of geosynthetic-reinforced column-supported embankments by coupled hydraulic and mechanical modeling. Computers and Geotechnics, 2010, 37( 5): 638– 648
CrossRef
Google scholar
|
[8] |
Jamsawang P, Phongphinittana E, Voottipruex P, Bergado D T, Jongpradist P. Comparative performances of two- and three-dimensional analyses of soil-cement mixing columns under an embankment load. Marine Georesources and Geotechnology, 2019, 37( 7): 852– 869
CrossRef
Google scholar
|
[9] |
Yu Y, Bathurst R J, Damians I P. Modified unit cell approach for modelling geosynthetic-reinforced column-supported embankments. Geotextiles and Geomembranes, 2016, 44( 3): 332– 343
CrossRef
Google scholar
|
[10] |
Lai Y P, Bergado D T, Lorenzo G A, Duangchan T. Full-scale reinforced embankment on deep jet mixing improved ground. Proceedings of the Institution of Civil Engineers––Ground Improvement, 2006, 10( 4): 153– 164
CrossRef
Google scholar
|
[11] |
Bergado D T, Jamsawang P, Tanchaisawat T, Lai Y P, Lorenzo G A. Performance of reinforced load transfer platforms for embankments supported by deep cement mixing piles. In: GeoCongress 2008: Geosustainability and Geohazard Mitigation. New Orleans: Geo-Institute of The American Society of Civil Engineers, 2008,
|
[12] |
Han J, Oztoprak S, Parsons R L, Huang J. Numerical analysis of foundation columns to support widening of embankments. Computers and Geotechnics, 2007, 34( 6): 435– 448
CrossRef
Google scholar
|
[13] |
Borges J L, Marques D O. Geosynthetic-reinforced and jet grout column-supported embankments on soft soils: Numerical analysis and parametric study. Computers and Geotechnics, 2011, 38( 7): 883– 896
CrossRef
Google scholar
|
[14] |
Cheng Q, Wu J, Zhang D, Ma F. Field testing of geosynthetic-reinforced and column-supported earth platforms constructed on soft soil. Frontiers of Structural and Civil Engineering, 2014, 8( 2): 124– 139
CrossRef
Google scholar
|
[15] |
Liu Z, Zhang A, Xu J, Zhou C, Zhang L. Calculation model and bearing capacity optimization method for the soil settlement between piles in geosynthetic-reinforced pile-supported embankments based on the membrane effect. PLoS One, 2021, 16( 8): e0256190
CrossRef
Google scholar
|
[16] |
Okyay U S, Dias D. Use of lime and cement treated soils as pile supported load transfer platform. Engineering Geology, 2010, 114( 1−2): 34– 44
CrossRef
Google scholar
|
[17] |
Ishikura R, Yasufuku N, Brown M J. An estimation method for predicting final consolidation settlement of ground improved by floating soil cement columns. Soil and Foundation, 2016, 56( 2): 213– 227
CrossRef
Google scholar
|
[18] |
Liu S Y, Du Y J, Yi Y L, Puppala A J. Field investigations on performance of T-shaped deep mixed soil cement column-supported embankments over soft ground. Journal of Geotechnical and Geoenvironmental Engineering, 2012, 138( 6): 718– 727
CrossRef
Google scholar
|
[19] |
Yi Y L, Liu S Y, Puppala A J. Laboratory modelling of T-shaped soil–cement column for soft ground treatment under embankment. Geotechnique, 2016, 66( 1): 85– 89
CrossRef
Google scholar
|
[20] |
Yi Y L, Liu S Y, Puppala A J, Jing F. Variable-diameter deep mixing column for multi-layered soft ground improvement: laboratory modeling and field application. Soil and Foundation, 2019, 59( 3): 633– 643
CrossRef
Google scholar
|
[21] |
Yi Y L, Liu S Y, Puppala A J, Xi P S. Vertical bearing capacity behaviour of single T-shaped soil–cement column in soft ground: laboratory modelling, field test, and calculation. Acta Geotechnica, 2017, 12( 5): 1077– 1088
CrossRef
Google scholar
|
[22] |
Yi Y L, Liu S Y, Puppala A J. Bearing capacity of composite foundation consisting of T-shaped soil-cement column and soft clay. Transportation Geotechnics, 2018, 15 : 47– 56
CrossRef
Google scholar
|
[23] |
Yi Y L, Ni P, Liu S Y. Numerical investigation of T-shaped soil–cement column supported embankment over soft ground. In: Proceedings of China−Europe Conference on Geotechnical Engineering. Vienna: Springer, 2018,
|
[24] |
Phutthananon C, Jongpradist P, Yensri P, Jamsawang P. Dependence of ultimate bearing capacity and failure behavior of T-shaped deep cement mixing piles on enlarged cap shape and pile strength. Computers and Geotechnics, 2018, 97 : 27– 41
CrossRef
Google scholar
|
[25] |
Phutthananon C, Jongpradist P, Jamsawang P. Influence of cap size and strength on settlements of TDM-piled embankments over soft ground. Marine Georesources and Geotechnology, 2020, 38( 6): 686– 705
CrossRef
Google scholar
|
[26] |
Phutthananon C, Jongpradist P, Jongpradist P, Dias D, Baroth J. Parametric analysis and optimization of T-shaped and conventional deep cement mixing column-supported embankments. Computers and Geotechnics, 2020, 122 : 103555
CrossRef
Google scholar
|
[27] |
Phutthananon C, Jongpradist P, Dias D, Jamsawang P. Numerical study of the deformation performance and failure mechanisms of TDM pile-supported embankments. Transportation Geotechnics, 2021, 30 : 100623
CrossRef
Google scholar
|
[28] |
Phutthananon C, Jongpradist P, Jongpradist P, Dias D, Jamsawang P, Bergado D T. Performance-based design optimization of embankments resting on soft soil improved with T-shaped and conventional DCM columns. Acta Geotechnica, 2021, 16( 10): 3301– 3326
CrossRef
Google scholar
|
[29] |
Jamsawang P, Voottipruex P, Jongpradist P, Bergado D T. Parameters affecting the lateral movements of compound deep cement mixing walls by numerical simulations and parametric analyses. Acta Geotechnica, 2015, 10( 6): 797– 812
CrossRef
Google scholar
|
[30] |
Omine K, Ochiai H, Yasufuku N. Evaluation of scale effect on strength of cement-treated soils based on a probabilistic failure model. Soil and Foundation, 2005, 45( 3): 125– 134
CrossRef
Google scholar
|
[31] |
Larsson S, Stille H, Olsson L. On horizontal variability in lime-cement columns in deep mixing. Geotechnique, 2005, 55( 1): 33– 44
CrossRef
Google scholar
|
[32] |
Namikawa T, Koseki J. Effects of spatial correlation on the compression behavior of a cement-treated column. Journal of Geotechnical and Geoenvironmental Engineering, 2013, 139( 8): 1346– 1359
CrossRef
Google scholar
|
[33] |
Liu Y, Lee F H, Quek S T, Chen E J, Yi J T. Effect of spatial variation of strength and modulus on the lateral compression response of cement-admixed clay slab. Geotechnique, 2015, 65( 10): 851– 865
CrossRef
Google scholar
|
[34] |
Zhang R J, Hasan M S M S, Zheng J J, Cheng Y S. Effect of spatial variability of engineering properties on stability of a CSMC embankment. Marine Georesources and Geotechnology, 2018, 36( 1): 91– 99
CrossRef
Google scholar
|
[35] |
Al-Naqshabandy M S, Bergman N, Larsson S. Strength variability in lime-cement columns based on cone penetration test data. Proceedings of the Institution of Civil Engineers––Ground Improvement, 2012, 165( 1): 15– 30
CrossRef
Google scholar
|
[36] |
Al-Naqshabandy M S, Larsson S. Effect of uncertainties of improved soil shear strength on the reliability of embankments. Journal of Geotechnical and Geoenvironmental Engineering, 2013, 139( 4): 619– 632
CrossRef
Google scholar
|
[37] |
Navin M P, Filz G M. Reliability of deep mixing method columns for embankment support. In: GeoCongress 2006: Geotechnical Engineering in the Information Technology Age. Atlanta: American Society of Civil Engineers, 2006,
|
[38] |
Wijerathna M, Liyanapathirana D S. Reliability-based performance of embankments improved with deep mixing considering spatial variability of material properties. ASCE-ASME Journal of Risk and Uncertainty in Engineering Systems. Part A, Civil Engineering, 2018, 4( 4): 04018035
CrossRef
Google scholar
|
[39] |
Wijerathna M, Liyanapathirana D S. Significance of variability of deep cement mixed columns on the reliability of column supported embankments. International Journal of Geomechanics, 2019, 19( 8): 04019087
CrossRef
Google scholar
|
[40] |
Guo X, Pham T A, Dias D. Probabilistic analysis of geosynthetic-reinforced and pile-supported embankments. Computers and Geotechnics, 2022, 142 : 104595
CrossRef
Google scholar
|
[41] |
Guo X, Dias D. Kriging based reliability and sensitivity analysis—Application to the stability of an earth dam. Computers and Geotechnics, 2020, 120 : 103411
CrossRef
Google scholar
|
[42] |
Soubra A H, Al-Bittar T, Thajeel J, Ahmed A. Probabilistic analysis of strip footings resting on spatially varying soils using kriging metamodeling and importance sampling. Computers and Geotechnics, 2019, 114 : 103107
CrossRef
Google scholar
|
[43] |
Zhang T, Guo X, Dias D, Sun Z. Dynamic probabilistic analysis of non-homogeneous slopes based on a simplified deterministic model. Soil Dynamics and Earthquake Engineering, 2021, 142 : 106563
CrossRef
Google scholar
|
[44] |
Lü Q, Xiao Z P, Ji J, Zheng J. Reliability based design optimization for a rock tunnel support system with multiple failure modes using response surface method. Tunnelling and Underground Space Technology, 2017, 70 : 1– 10
CrossRef
Google scholar
|
[45] |
Pan Q, Dias D. Probabilistic evaluation of tunnel face stability in spatially random soils using sparse polynomial chaos expansion with global sensitivity analysis. Acta Geotechnica, 2017, 12( 6): 1415– 1429
CrossRef
Google scholar
|
[46] |
Engelund S, Rackwitz R. A benchmark study on importance sampling techniques in structural reliability. Structural Safety, 1993, 12( 4): 255– 276
CrossRef
Google scholar
|
[47] |
Au S K, Beck J L. Estimation of small failure probabilities in high dimensions by subset simulation. Probabilistic Engineering Mechanics, 2001, 16( 4): 263– 277
CrossRef
Google scholar
|
[48] |
Guo X, Dias D, Carvajal C, Peyras L, Breul P. A comparative study of different reliability methods for high dimensional stochastic problems related to earth dam stability analyses. Engineering Structures, 2019, 188 : 591– 602
CrossRef
Google scholar
|
[49] |
Hurtado J E, Alvarez D A. Neural-network-based reliability analysis: A comparative study. Computer Methods in Applied Mechanics and Engineering, 2001, 191( 1−2): 113– 132
CrossRef
Google scholar
|
[50] |
Echard B, Gayton N, Lemaire M A K M C S. An active learning reliability method combining Kriging and Monte Carlo Simulation. Structural Safety, 2011, 33( 2): 145– 154
CrossRef
Google scholar
|
[51] |
Al-Bittar T, Soubra A H, Thajeel J. Kriging-based reliability analysis of strip footings resting on spatially varying soils. Journal of Geotechnical and Geoenvironmental Engineering, 2018, 144( 10): 04018071
CrossRef
Google scholar
|
[52] |
Li T Z, Yang X L. An efficient uniform design for Kriging-based response surface method and its application. Computers and Geotechnics, 2019, 109 : 12– 22
CrossRef
Google scholar
|
[53] |
El Haj A K, Soubra A H, Fajoui J. Probabilistic analysis of an offshore monopile foundation taking into account the soil spatial variability. Computers and Geotechnics, 2019, 106 : 205– 216
CrossRef
Google scholar
|
[54] |
Zhao H, Ru Z, Chang X, Yin S, Li S. Reliability analysis of tunnel using least square support vector machine. Tunnelling and Underground Space Technology, 2014, 41 : 14– 23
CrossRef
Google scholar
|
[55] |
Zhou S, Guo X, Zhang Q, Dias D, Pan Q. Influence of a weak layer on the tunnel face stability—Reliability and sensitivity analysis. Computers and Geotechnics, 2020, 122 : 103507
CrossRef
Google scholar
|
[56] |
Guo X, Dias D, Pan Q. Probabilistic stability analysis of an embankment dam considering soil spatial variability. Computers and Geotechnics, 2019, 113 : 103093
CrossRef
Google scholar
|
[57] |
Kroetz H M, Do N A, Dias D, Beck A T. Reliability of tunnel lining design using the Hyperstatic Reaction Method. Tunnelling and Underground Space Technology, 2018, 77 : 59– 67
CrossRef
Google scholar
|
[58] |
Jongpradist P, Jamsawang P, Kongkitkul W. Equivalent void ratio controlling the mechanical properties of cementitious material-clay mixtures with high water content. Marine Georesources and Geotechnology, 2019, 37( 10): 1151– 1162
CrossRef
Google scholar
|
[59] |
Jongpradist P, Homtragoon W, Sukkarak R, Kongkitkul W, Jamsawang P. Efficiency of rice husk ash as cementitious material in high-strength cement-admixed clay. Advances in Civil Engineering, 2018, 2018 : 8346319
CrossRef
Google scholar
|
[60] |
Huang J, Kelly R, Sloan S W. Stochastic assessment for the behaviour of systems of dry soil mix columns. Computers and Geotechnics, 2015, 66 : 75– 84
CrossRef
Google scholar
|
[61] |
Li D Q, Tang X S, Phoon K K. Risk and Reliability in Geotechnical Engineering. Boca Raton: CRC Press, 2014,
|
[62] |
Schöbi R, Sudret B, Marelli S. Rare event estimation using Polynomial-Chaos Kriging. ASCE-ASME Journal of Risk and Uncertainty in Engineering Systems. Part A, Civil Engineering, 2017, 3( 2): D4016002
CrossRef
Google scholar
|
[63] |
Marelli S, Sudret B. UQLab: A framework for uncertainty quantification in Matlab. In: Proceedings of the 2nd International Conference on Vulnerability, Risk Analysis and Management (ICVRAM2014). Liverpool: American Society of Civil Engineers, 2014,
|
[64] |
Kasama K, Whittle A J, Zen K. Effect of spatial variability on the bearing capacity of cement-treated ground. Soil and Foundation, 2012, 52( 4): 600– 619
CrossRef
Google scholar
|
[65] |
Bhasi A, Rajagopal K. Geosynthetic-reinforced piled embankments: Comparison of numerical and analytical methods. International Journal of Geomechanics, 2015, 15( 5): 04014074
CrossRef
Google scholar
|
[66] |
Brinkgreve R B J Kumarswamy S Swolfs W M Zampich L Ragi Manoj N. PLAXIS 2D Material Model Manual 2019. Delft: Plaxis bv., 2019
|
[67] |
Schanz T, Vermeer A, Bonnier P. The hardening soil model: Formulation and verification. In: Proceedings of 1st International PLAXIS Symposium on Beyond 2000 in Computational Geotechnics. Amsterdam: CRC Press, 1999,
|
[68] |
Jamsawang P, Voottipruex P, Tanseng P, Jongpradist P, Bergado D T. Effectiveness of deep cement mixing walls with top-down construction for deep excavations in soft clay: Case study and 3D simulation. Acta Geotechnica, 2019, 14( 1): 225– 246
CrossRef
Google scholar
|
[69] |
Waichita S, Jongpradist P, Jamsawang P. Characterization of deep cement mixing wall behavior using wall-to-excavation shape factor. Tunnelling and Underground Space Technology, 2019, 83 : 243– 253
CrossRef
Google scholar
|
[70] |
Wonglert A, Jongpradist P, Jamsawang P, Larsson S. Bearing capacity and failure behaviors of floating stiffened deep cement mixing columns under axial load. Soil and Foundation, 2018, 58( 2): 446– 461
CrossRef
Google scholar
|
[71] |
Surarak C, Likitlersuang S, Wanatowski D, Balasubramaniam A, Oh E, Guan H. Stiffness and strength parameters for hardening soil model of soft and stiff Bangkok clays. Soil and Foundation, 2012, 52( 4): 682– 697
CrossRef
Google scholar
|
[72] |
Jamsawang P, Voottipruex P, Boathong P, Mairaing W, Horpibulsuk S. Three-dimensional numerical investigation on lateral movement and factor of safety of slopes stabilized with deep cement mixing column rows. Engineering Geology, 2015, 188 : 159– 167
CrossRef
Google scholar
|
[73] |
Goh A T C, Zhang F, Zhang W, Zhang Y, Liu H. A simple estimation model for 3D braced excavation wall deflection. Computers and Geotechnics, 2017, 83 : 106– 113
CrossRef
Google scholar
|
[74] |
Hsiung B C B, Yang K H, Aila W, Ge L. Evaluation of the wall deflections of a deep excavation in Central Jakarta using three-dimensional modeling. Tunnelling and Underground Space Technology, 2018, 72 : 84– 96
CrossRef
Google scholar
|
[75] |
Waichita S, Jongpradist P, Schweiger H F. Numerical and experimental investigation of failure of a DCM-wall considering softening behaviour. Computers and Geotechnics, 2020, 119 : 103380
CrossRef
Google scholar
|
[76] |
Ma H, Luo Q, Wang T, Jiang H, Lu Q. Numerical stability analysis of piled embankments reinforced with ground beams. Transportation Geotechnics, 2021, 26 : 100427
CrossRef
Google scholar
|
[77] |
Zhuang Y, Wang K. Finite element analysis on the dynamic behavior of soil arching effect in piled embankment. Transportation Geotechnics, 2018, 14 : 8– 21
CrossRef
Google scholar
|
[78] |
Hamrouni A, Dias D, Sbartai B. Soil spatial variability impact on the behavior of a reinforced earth wall. Frontiers of Structural and Civil Engineering, 2020, 14( 2): 518– 531
CrossRef
Google scholar
|
[79] |
Das B M. Fundamentals of Geotechnical Engineering. Boston: Cengage Learning, 2007
|
[80] |
Kulhawy F H Mayne P W. Manual on Estimating Soil Properties for Foundation Design. Rep. No. EPRI-EL-6800. 1990
|
[81] |
Phoon K K, Kulhawy F H. Characterization of geotechnical variability. Canadian Geotechnical Journal, 1999, 36( 4): 612– 624
CrossRef
Google scholar
|
/
〈 | 〉 |