Numerical Simulation of Earthen Embankment Resting on Liquefiable Soil and Remediation Using Stone Columns
Publication: International Journal of Geomechanics
Volume 22, Issue 11
Abstract
This study aims to predict the effect of liquefaction on an embankment resting on liquefiable foundation soil. A numerical model has been simulated in PLAXIS 2D with plane strain idealization. An effective stress–based elastoplastic UBC3D-PLM model has been used to represent the constitutive behavior of foundation sandy soil. The embankment soil has been modeled using the Mohr–Coulomb material model. Initially, the pore pressure and settlement response have been derived for the model without a stone column. The top surface of the loose foundation soil experiences excessive heaving near the embankment toe toward the free surface beside the embankment on either side. Subsequently, a parametric study has been conducted on the mitigation of liquefaction beneath the embankment and liquefaction-induced settlement considering stone columns as a mitigation measure. Stone columns have been modeled assuming equivalent plane strips by considering the equivalent permeability and bulk modulus of stone columns. The efficacy of stone columns in controlling the heaving has also been revealed from this study in addition to the reduction in excess pore pressure beneath the embankment toe and the settlement of the embankment. The parametric study has also investigated the effect of diameter and spacing of the stone column. It has been observed in the case of cyclic loading input that with increasing the amplitude of loading, the effectiveness of stone columns reduces, and this leads to an increase in the crest settlement. Moreover, a seismic study of the embankment model has been carried out for 10 different ground motions to examine the effect of the stone column. The study reveals that for moderate-intensity ground motions, the stone column shows an effective mitigation of excess pore pressure near the embankment toe along with a reduction of embankment crest settlement.
Get full access to this article
View all available purchase options and get full access to this article.
Acknowledgments
The authors acknowledge the following contributions: Chakraborty A: Conceptualization, Investigation, Software, Validation, and Writing – original draft and Sawant V A: Conceptualization, Methodology, Supervision, and Writing – review and editing.
Notation
The following symbols are used in this paper:
- amax
- maximum acceleration amplitude;
- c
- cohesion;
- plastic volumetric strain increment;
- dγp
- plastic shear strain increment;
- fp
- predominant frequency;
- G
- elastic shear modulus;
- Ia
- arias intensity;
- K
- elastic bulk modulus;
- pref
- reference stress level (100 kPa);
- ru
- excess pore pressure ratio;
- ru,max
- maximum excess pore pressure ratio;
- maximum excess pore pressure coefficient in the stone column–encased effective zone;
- S/D
- spacing by diameter ratio;
- Tp
- time period;
- Ux,max
- maximum horizontal outflow;
- φmob
- mobilized friction angle;
- φcv
- constant volume friction angle;
- φp
- peak friction angle;
- ηf
- stress ratio at failure;
- ηult
- asymptotic stress ratio evaluated from the best fit hyperbola;
- vertical effective stress;
- initial vertical effective stress;
- ψm
- mobilized dilatancy angle; and
- (N1)60
- corrected SPT value.
References
Adalier, K. 1996. “Mitigation of earthquake induced liquefaction hazards.” Ph.D. thesis, Dept. of Civil and Environmental Engineering, Rensselaer Polytechnic Institute.
Adalier, K., A.-W. Elgamal, and G. R. Martin. 1998. “Foundation liquefaction countermeasures for earth embankments.” J. Geotech. Geoenviron. Eng. 124 (6): 500–517. https://doi.org/10.1061/(ASCE)1090-0241(1998)124:6(500).
Adalier, K., A. Elgamal, J. Meneses, and J. I. Baez. 2003. “Stone columns as liquefaction countermeasure in non-plastic silty soils.” Soil Dyn. Earthquake Eng. 23 (7): 571–584. https://doi.org/10.1016/S0267-7261(03)00070-8.
Andrianopoulos, K. I., A. G. Papadimitriou, and G. D. Bouckovalas. 2010. “Bounding surface plasticity model for the seismic liquefaction analysis of geostructures.” Soil Dyn. Earthquake Eng. 30 (10): 895–911. https://doi.org/10.1016/j.soildyn.2010.04.001.
Antonia, M. 2013. “Evaluation of UBC3D-PLM constitutive model for prediction of earthquake induced liquefaction on embankment dams.” M.S. thesis, Dept. of Geoscience and Engineering, Delft Univ. of Technology.
Arulanandan, K., and R. F. Scott. 1993. “Verification of numerical procedures for the analysis of soil liquefaction problem.” In Proc., of Int. Conf. on the Verification of Numerical Procedures for the Analysis of Soil Liquefaction Problems, edited by K. Arulanandan and R. F. Scott. Rotterdam, Netherlands: Balkema Press.
Arulmoli, K., K. K. Muraleetharan, M. M. Hossain, and L. S. Fruth. 1992. VELACS: Verification of liquefaction analyses by centrifuge studies, laboratory testing program. Soil Data Report. Los Angeles: The Earth Technology Corporation.
Bastidas, P. 2016. “Ottawa F-65 sand characterization.” Ph.D. thesis, Dept. of Civil and Environmental Engineering, Univ. of California at Davis.
Beaty, M., and P. M. Byrne. 1998. “An effective stress model for predicting liquefaction behavior of sand.” Geotechnical Earthquake Engineering and Soil Dynamics III 1: 766–777.
Bhatnagar, S., S. Kumari, and V. A. Sawant. 2016. “Numerical analysis of earth embankment resting on liquefiable soil and remedial measures.” Int. J. Geomech. 16 (1): 04015029. https://doi.org/10.1061/(ASCE)GM.1943-5622.0000501.
Boulanger, R. W., and K. Ziotopoulou. 2013. “Formulation of a sand plasticity plane-strain model for earthquake engineering applications.” Soil Dyn. Earthquake Eng. 53: 254–267. https://doi.org/10.1016/j.soildyn.2013.07.006.
Cascone, E., G. Biondi, D. Aliberti, and S. Rampello. 2021. “Effect of vertical input motion and excess pore pressures on the seismic performance of a zoned dam.” Soil Dyn. Earthquake Eng. 142: 106566. https://doi.org/10.1016/j.soildyn.2020.106566.
Dafalias, Y. F., and M. T. Manzari. 2004. “Simple plasticity sand model accounting for fabric change effects.” J. Eng. Mech. 130 (6): 622–634. https://doi.org/10.1061/(ASCE)0733-9399(2004)130:6(622).
Das, A. K., and K. Deb. 2018. “Experimental and 3D numerical study on time-dependent behavior of stone column–supported embankments.” Int. J. Geomech. 18 (4): 04018011. https://doi.org/10.1061/(ASCE)GM.1943-5622.0001110.
Deb, K. 2010. “A mathematical model to study the soil arching effect in stone column-supported embankment resting on soft foundation soil.” Appl. Math. Modell. 34: 3871–3883. https://doi.org/10.1016/j.apm.2010.03.026.
Deb, K., and A. Dhar. 2013. “Parameter estimation for a system of beams resting on stone column–reinforced soft soil.” Int. J. Geomech. 13 (3): 222–233. https://doi.org/10.1061/(ASCE)GM.1943-5622.0000203.
Deb, K., and S. R. Mohapatra. 2013. “Analysis of stone column-supported geosynthetic-reinforced embankments.” Appl. Math. Modell. 37: 2943–2960. https://doi.org/10.1016/j.apm.2012.07.002.
Dinesh, N., S. Banerjee, K. Rajagopal. 2022. “Performance evaluation of PM4Sand model for simulation of the liquefaction remedial measures for embankment.” Soil Dyn. Earthquake Eng. 152: 107042. https://doi.org/10.1016/j.soildyn.2021.107042.
Elgamal, A., J. Lu, and D. Forcellini. 2009. “Mitigation of liquefaction-induced lateral deformation in a sloping stratum: Three-dimensional numerical simulation.” J. Geotech. Geoenviron. Eng. 135 (11): 1672–1682. https://doi.org/10.1061/(ASCE)GT.1943-5606.0000137.
Finn, W. D. L., M. Yogendrakumar, N. Yoshida, and H. Yoshida. 1986. TARA-3: A program for nonlinear static and dynamic effective stress analysis. Vancouver, British Columbia, Canada: Univ. of British Columbia. Soil Dynamics Group.
Galavi, V., and F. S. Tehrani. 2017. “Empirical and numerical analyses of soil liquefaction around buried offshore pipelines.” In ISSMGE, PBD-III Vancouver, Earthquake Geotechnical Engineering, paper: 475. Vancouver, Canada: ISSMGE.
Howell, R., E. M. Rathje, R. Kamai, and R. Boulanger. 2012. “Centrifuge modeling of prefabricated vertical drains for liquefaction remediation.” J. Geotech. Geoenviron. Eng. 138 (3): 262–271. https://doi.org/10.1061/(ASCE)GT.1943-5606.0000604.
Huang, D., and G. Wang. 2017. “Energy-compatible and spectrum-compatible (ECSC) ground motion simulation using wavelet packets.” Earthquake Eng. Struct. Dyn. 46: 1855–1873. https://doi.org/10.1002/eqe.2887.
Iai, S., K. lchii, H. Liu, and T. Morita. 1998. “Effective stress analyses of port structures.” Soils Found. 38: 97–114. Special Issue on Geotechnical Aspects of the January 17 1995 Hyogoken-Nambu Earthquake. https://doi.org/10.3208/sandf.38.Special_97.
Idriss, I. M., and R. W. Boulanger. 2008. Soil liquefaction during earthquake. Geophysical Monograph 12. Oakland, CA: Earthquake Engineering Research Institute.
Inagaki, H., S. Iai, T. Sugano, H. Yamazaki, and T. Inatomi. 1996. “Performance of caisson type quay walls at kobe port.” Soils Found. 36: 119–136. Special Issue on Geotechnical Aspects of the January 17 1995 Hyogoken-Nambu Earthquake. https://doi.org/10.3208/sandf.36.Special_119.
Jakura, K., and A. Abghari. 1994. “Mitigation of liquefaction hazards at three California bridge sites.” In Proc., 5th US-Japan Workshop on Earthquake Resistant Design of Lifeline Facilities and Countermeasures against Soil Liquefaction, 495–513. Buffalo, NY: US National Center for Earthquake Engineering Research.
Koga, Y., and O. Matsuo. 1990. “Shaking table tests of embankments resting on liquefiable sandy ground.” Soils Found. 30: 162–174. https://doi.org/10.3208/sandf1972.30.4_162.
Koseki, J., Y. Koga, and A. Takahashi. 1994. “Liquefaction of sandy ground and settlement of embankments.” In Proc., Int. Conf. Centrifuge 94, 215–220. Rotterdam, Netherlands: Balkema Press.
Kramer, S. L. 1996. Geotechnical earthquake engineering. Hoboken, NJ: Prentice-Hall.
Kumar, A., S. Kumari, and V. A. Sawant. 2020. “Numerical investigation of stone column improved ground for mitigation of liquefaction.” Int. J. Geomech. 20 (9): 04020144. https://doi.org/10.1061/(ASCE)GM.1943-5622.0001758.
Kumari, S., and V. A. Sawant. 2021. “Numerical simulation of liquefaction phenomenon considering infinite boundary.” Soil Dyn. Earthquake Eng. 142: 106556. https://doi.org/10.1016/j.soildyn.2020.106556.
Kumari, S., V. A. Sawant, and S. Mehndiratta. 2018. “Effectiveness of stone column in liquefaction mitigation.” In Geotechnical Earthquake Engineering and Soil Dynamics V: Liquefaction Triggering, Consequences, and Mitigation, Geotechnical Special Publication 290, edited by S. J. Brandenberg and M. T. Manzari, 207–216. Reston, VA: ASCE.
Kutter, B. L., et al. 2018. “LEAP-GWU-2015 experiment specifications, results, and comparisons.” Soil Dyn. Earthquake Eng. 113: 616–628. [LEAP-2015 Special Issue]. https://doi.org/10.1016/j.soildyn.2017.05.018.
Ledbetter, R. H., W. D. Liam Finn, J. S. Nickell, R. E. Wahl, and M. E. Hynes. 1991. “Liquefaction induced behavior and remediation for Mormon island auxiliary dam.” In Int. Workshop on Remedial Treatment of Liquefiable Soils. Japan: Public Works Research Institute.
Li, P., S. Dashti, M. Badanagki, and P. Kirkwood. 2018. “Evaluating 2D numerical simulations of granular columns in level and gently sloping liquefiable sites using centrifuge experiments.” Soil Dyn. Earthquake Eng. 110 (March): 232–243. https://doi.org/10.1016/j.soildyn.2018.03.023.
Matsuo, O. 1996. “Damage to river dikes.” Soils Found. 36: 235–240. https://doi.org/10.3208/sandf.36.Special_235.
McCulloch, D. S., and M. G. Bonilla. 1967. “Railroad damage in the Alaska earthquake.” J. Geotech. Eng. Div. 93 (5): 89–100.
Murakami, K., and M. Nakano. 1993. “The construction method preventing a manhole from floating due to liquefaction.” In Proc., 4th U.S.—Japan Workshop on Earthquake Resistant Des. of Lifeline Fac. and Countermeasures Against Soil Liquefaction (Rep. No. NCEER-92-0019), edited by M. Hamada and T. O’Rourke, 609–622. Buffalo, NY: National Center for Earthquake Engineering Research, SUNY.
NRC. 1985. Liquefaction of soils during earthquakes. Report by the Committee on Earthquake Engineering Washington, DC: National Research Council, National Academy Press.
Petalas, A., and V. Galavi. 2013. Plaxis liquefaction model UBC3D-PLM. Delft, Netherlands: PLAXIS B.V.
Pubela, H., M. Byrne, and P. Phillips. 1997. “Analysis of CANLEX liquefaction embankments: Prototype and centrifuge models.” Can. Geotech. J. 34: 641–657. https://doi.org/10.1139/t97-034.
Raison, C. A., B. C. Slocombe, J. I. Baez, and A. L. Bell. 1995. “North Morecambe Terminal, Barrow, ground stabilization and pile foundations.” In Vol. 1 of Proc., 3rd Int. Conf. on Recent Advances in Geotechnical Engineering and Soil Dynamics, edited by S. Prakash. St. Louis, MO: University of Missouri-Rolla.
Ramirez, J., A. R. Barrero, L. Chen, S. Dashti, A. Ghofrani, M. Taiebat, and P. Arduino. 2018. “Site response in a layered liquefiable deposit: Evaluation of different numerical tools and methodologies with centrifuge experimental results.” J. Geotech. Geoenviron. Eng. 144 (10): 04018073. https://doi.org/10.1061/(ASCE)GT.1943-5606.0001947.
Seed, H. B., and J. R. Booker. 1977. “Stabilization of potentially liquefiable sand deposits using gravel drains.” J. Geotech. Eng. Div. 103 (7): 757–768. https://doi.org/10.1061/AJGEB6.0000453.
Sica, S., and L. Pagano. 2009. “Performance-Based analysis of earth dams: Procedures and application to a sample case.” Soils Found. 49 (6): 921–939. https://doi.org/10.3208/sandf.49.921.
Sriskandakumar, S. 2004. “Cyclic loading response of Fraser river sand for validation of numerical models simulating centrifuge tests.” M.S. thesis, The Faculty of Graduate Studies Dept. of Civil Engineering, The Univ., of British Columbia.
Taiebat, M., and Y. F. Dafalias. 2008. “SANISAND: Simple anisotropic sand plasticity model.” Int. J. Numer. Anal. Methods Geomech. 32 (32): 915–948. https://doi.org/10.1002/nag.651.
Tsegaye, A. 2010. Plaxis liqueafaction model. Rep. No. 1. Delft, Netherlands: PLAXIS Knowledge Base.
Wang, G. 2012. “Efficiency of scalar and vector intensity measures for seismic slope displacements.” Front. Struct. Civ. Eng. 6 (1): 44–52. https://doi.org/10.1007/s11709-012-0138-x.
Wijewickreme, D., S. Sriskandakumar, and P. Byrne. 2005. “Cyclic loading response of loose air-pluviated Fraser River sand for validation of numerical models simulating centrifuge tests.” Can. Geotech. J. 42 (2): 550–561. https://doi.org/10.1139/t04-119.
Yamada, G. 1966. “Damage to earth structures and foundations by the Niigata earthquake June 16, 1964, in JNR.” Soils Found. 6 (1): 1–13. https://doi.org/10.3208/sandf1960.6.1.
Yang, Z., A. Elgamal, and E. Parra. 2003. “Computational model for cyclic mobility and associated shear deformation.” J. Geotech. Geoenviron. Eng. 129 (12): 1119–1127. https://doi.org/10.1061/(ASCE)1090-0241(2003)129:12(1119).
Yoshida, N. 1998. “Mechanism of liquefaction-induced flow.” [In Japanese.] In Proc., Symp. on Flow Characteristics and Permanent Deformation of Soil Structures During Earthquake, 53−70. Tokyo, Japan: The Japanese Geotechnical Society.
Zardari, M. A., H. Mattsson, S. Knutsson, M. S. Khalid, M. V. S. Ask, and B. Lund. 2017. “Numerical analyses of earthquake induced liquefaction and deformation behaviour of an upstream tailings Dam.” Adv. Mater. Sci. Eng. 2017: 5389308. https://doi.org/10.1155/2017/5389308.
Information & Authors
Information
Published In
Copyright
© 2022 American Society of Civil Engineers.
History
Received: Feb 15, 2022
Accepted: Jun 4, 2022
Published online: Aug 29, 2022
Published in print: Nov 1, 2022
Discussion open until: Jan 29, 2023
Authors
Metrics & Citations
Metrics
Citations
Download citation
If you have the appropriate software installed, you can download article citation data to the citation manager of your choice. Simply select your manager software from the list below and click Download.
Cited by
- Abhijit Chakraborty, V. A. Sawant, Earthquake response of embankment resting on liquefiable soil with different mitigation models, Natural Hazards, 10.1007/s11069-022-05799-6, (2022).