Technical Papers
Sep 23, 2022

Seismic Response Analysis of Submerged Slopes Using Coupled SPH–DEM Scheme

Publication: International Journal of Geomechanics
Volume 22, Issue 12

Abstract

In this study, the seismic response of submerged slopes is evaluated using a coupled smoothed particle hydrodynamics (SPH)–discrete-element method (DEM) framework. In this technique, DEM particles represent the soil grains and the fluid domain is idealized using SPH. The interaction forces between the two phases are estimated based on well-established semiempirical equations. The submerged slope was created utilizing the coupled scheme and subjected to a variety of base excitations with various amplitudes and frequencies. The results suggest that the stronger input motion generally induces larger displacements and shear strains. In addition, the frequency of the input motion can also have a significant effect on the level of deformation the system experiences. It was observed that the soil strength and stiffness can severely degrade due to pore pressure buildup, leading to excessive lateral deformations at input motion frequencies considerably lower than the initial fundamental frequency of the deposit. In contrast to the level parts of the model near the slope toe and crest, soil dilation close to the slope surface leads to a drop in the excess pore pressure and a temporary regain in soil strength and stiffness reflected by sharp acceleration spikes and asymmetrical shear stress–strain loops.

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Acknowledgments

This research was partially supported by the US Army Corps of Engineers Engineer Research and Development Center, grant number W9132V-13-C-0004 and the National Science Foundation award number CMMI-1728612. These supports are gratefully acknowledged.

References

Adami, S., X. Hu, and N. Adams. 2012. “A generalized wall boundary condition for smoothed particle hydrodynamics.” J. Comput. Phys. 231 (21): 7057–7075. https://doi.org/10.1016/j.jcp.2012.05.005.
Anderson, T., and R. Jackson. 1967. “Fluid mechanical description of fluidized beds. Equations of motion.” Ind. Eng. Chem. Fundam. 6 (4): 527–539. https://doi.org/10.1021/i160024a007.
Boulanger, R., R. Kamai, and K. Ziotopoulou. 2014. “Liquefaction induced strength loss and deformation: Simulation and design.” Bull. Earthquake Eng. 12 (3): 1107–1128. https://doi.org/10.1007/s10518-013-9549-x.
Boulanger, R., and J. Montgomery. 2016. “Nonlinear deformation analyses of an embankment dam on a spatially variable liquefiable deposit.” Soil Dyn. Earthquake Eng. 91: 222–233. https://doi.org/10.1016/j.soildyn.2016.07.027.
Carman, P. 1937. “Fluid flow through granular beds.” Trans. Inst. Chem. Eng. 15: 150–166.
Chen, W., and T. Qiu. 2014. “Simulation of earthquake-induced slope deformation using sph method.” Int. J. Numer. Anal. Methods Geomech. 38 (3): 297–330. https://doi.org/10.1002/nag.v38.3.
Cleary, P. 2015. “Prediction of coupled particle and fluid flows using DEM and SPH.” Miner. Eng. 73: 85–99. https://doi.org/10.1016/j.mineng.2014.09.005.
Cundall, P., and O. Strack. 1979. “A discrete numerical model for granular assemblies.” Geotechnique 29 (1): 47–65. https://doi.org/10.1680/geot.1979.29.1.47.
Cuomo, S., P. Ghasemi, M. Martinelli, and M. Calvello. 2019. “Simulation of liquefaction and retrogressive slope failure in loose coarse-grained material.” Int. J. Geomech. 19 (10): 04019116. https://doi.org/10.1061/(ASCE)GM.1943-5622.0001500.
Dehnen, W., and H. Aly. 2012. “Improving convergence in smoothed particle hydrodynamics simulations without pairing instability.” Mon. Not. R. Astron. Soc. 425 (2): 1068–1082. https://doi.org/10.1111/mnr.2012.425.issue-2.
Dobry, R., and L. Liu. 1992. “Centrifuge modeling of soil liquefaction.” In Proc., 10th World Conf. on Earthquake Engineering, 6801–6809. Rotterdam, The Netherlands: A.A. Balkema.
Dobry, R., and T. Ng. 1992. “Discrete modelling of stress–strain behaviour of granular media at small and large strains.” Eng. Comput. 9 (2): 129–143. https://doi.org/10.1108/eb023853.
Edwards, S. 1998. “The equations of stress in a granular material.” Physica A 249 (1–4): 226–231. https://doi.org/10.1016/S0378-4371(97)00469-X.
El Shamy, U., and Y. Abdelhamid. 2014. “Modeling granular soils liquefaction using coupled lattice Boltzmann method and discrete element method.” Soil Dyn. Earthquake Eng. 67: 119–132. https://doi.org/10.1016/j.soildyn.2014.09.004.
El Shamy, U., and Y. Abdelhamid. 2017. “Some aspects of the impact of multidirectional shaking on liquefaction of level and sloping granular deposits.” J. Eng. Mech. 143 (1): C4016003. https://doi.org/10.1061/(ASCE)EM.1943-7889.0001049.
El Shamy, U., and S. Sizkow. 2021a. “Coupled smoothed particle hydrodynamics-discrete element method simulations of soil liquefaction and its mitigation using gravel drains.” Soil Dyn. Earthquake Eng. 140: 106460. https://doi.org/10.1016/j.soildyn.2020.106460.
El Shamy, U., and S. Sizkow. 2021b. “Coupled SPH–DEM simulations of liquefaction-induced flow failure.” Soil Dyn. Earthquake Eng. 144: 106683. https://doi.org/10.1016/j.soildyn.2021.106683.
El Shamy, U., and M. Zeghal. 2005. “Coupled continuum-discrete model for saturated granular soils.” J. Eng. Mech. 131 (4): 413–426. https://doi.org/10.1061/(ASCE)0733-9399(2005)131:4(413).
El Shamy, U., M. Zeghal, R. Dobry, S. Thevanayagam, A. Elgamal, T. Abdoun, C. Medina, R. Bethapudi, and V. Bennett. 2010. “Micromechanical aspects of liquefaction-induced lateral spreading.” Int. J. Geomech. 10 (5): 190–201. https://doi.org/10.1061/(ASCE)GM.1943-5622.0000056.
Elgamal, A., R. Dobry, and K. Adalier. 1989. “Study of effect of clay layers on liquefaction of sand deposits using small-scale models.” In Proc., 2nd US-Japan Workshop on Liquefaction, Large Ground Deformation and Their Effects on Lifelines, 233–245. Taipei, Taiwan: National Center for Earthquake Engineering Research.
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.
Elgamal, A., Z. Yang, and E. Parra. 2002. “Computational modeling of cyclic mobility and post-liquefaction site response.” Soil Dyn. Earthquake Eng. 22 (4): 259–271. https://doi.org/10.1016/S0267-7261(02)00022-2.
Ergun, S. 1952. “Fluid flow through packed columns.” Chem. Eng. Prog. 48: 89–94.
Gu, D., H. Liu, D. Huang, W. Zhang, and X. Gao. 2020. “Development of a modeling method and parametric study of seepage-induced erosion in clayey gravel.” Int. J. Geomech. 20 (12): 04020219. https://doi.org/10.1061/(ASCE)GM.1943-5622.0001856.
Gu, L., Z. Wang, W. Zhu, B. Jang, X. Ling, and F. Zhang. 2021. “Numerical analysis of earth embankments in liquefiable soil and ground improvement mitigation.” Soil Dyn. Earthquake Eng. 146: 106739. https://doi.org/10.1016/j.soildyn.2021.106739.
Iai, S., T. Tobita, and T. Nakahara. 2005. “Generalised scaling relations for dynamic centrifuge tests.” Geotechnique 55 (5): 355–362. https://doi.org/10.1680/geot.2005.55.5.355.
Itasca. 2018. “PFC3D (Particle Flow Code in 3 Dimensions). Version 6.0.” Minneapolis: ICG.
Iwashita, K., and M. Oda. 1998. “Rolling resistance at contacts in simulation of shear band development by DEM.” J. Eng. Mech. 124 (3): 285–292. https://doi.org/10.1061/(ASCE)0733-9399(1998)124:3(285).
Kamai, R., and R. Boulanger. 2010. “Characterizing localization processes during liquefaction using inverse analyses of instrumentation arrays.” In Meso-scale shear physics in earthquake and landslide mechanics, edited by Y. H. Hatzor, J. Sulem and I. Vardoulakis, 219–238. Boca Raton, FL: CRC Press.
Kamai, R., and R. Boulanger. 2013. “Simulations of a centrifuge test with lateral spreading and void redistribution effects.” J. Geotech. Geoenviron. Eng. 139 (8): 1250–1261. https://doi.org/10.1061/(ASCE)GT.1943-5606.0000845.
Kokusho, T. 1999. “Water film in liquefied sand and its effect on lateral spread.” J. Geotech. Geoenviron. Eng. 125 (10): 817–826. https://doi.org/10.1061/(ASCE)1090-0241(1999)125:10(817).
Kramer, S. 1996. Geotechnical earthquake engineering. Upper Saddle River, NJ: Prentice Hall.
Liu, H., and T. Qiao. 1984. “Liquefaction potential of saturated sand deposits underlying foundation of structure.” In Proc., 8th World Conf. on Earthquake Engineering, 21–28. Hoboken, NJ: Prentice-Hall.
Lu, J., P. Kamatchi, and A. Elgamal. 2019. “Using stone columns to mitigate lateral deformation in uniform and stratified liquefiable soil strata.” Int. J. Geomech. 19 (5): 04019026. https://doi.org/10.1061/(ASCE)GM.1943-5622.0001397.
Madabhushi, S., S. Haigh, and G. Madabhushi. 2018. “LEAP-GWU-2015: Centrifuge and numerical modelling of slope liquefaction at the University of Cambridge.” Soil Dyn. Earthquake Eng. 113: 671–681. https://doi.org/10.1016/j.soildyn.2016.11.009.
Malvick, E., B. Kutter, R. Boulanger, and R. Kulasingam. 2006. “Shear localization due to liquefaction-induced void redistribution in a layered infinite slope.” J. Geotech. Geoenviron. Eng. 132 (10): 1293–1303. https://doi.org/10.1061/(ASCE)1090-0241(2006)132:10(1293).
Markauskas, D., H. Kruggel-Emden, and V. Scherer. 2018. “Numerical analysis of wet plastic particle separation using a coupled DEM-SPH method.” Powder Technol. 325: 218–227. https://doi.org/10.1016/j.powtec.2017.11.021.
Markauskas, D., H. Kruggel-Emden, R. Sivanesapillai, and H. Steeb. 2017. “Comparative study on mesh-based and mesh-less coupled CFD–DEM methods to model particle-laden flow.” Powder Technol. 305: 78–88. https://doi.org/10.1016/j.powtec.2016.09.052.
Monaghan, J. 1992. “Smoothed particle hydrodynamics.” Annu. Rev. Astron. Astrophys. 30 (1): 543–574. https://doi.org/10.1146/astro.1992.30.issue-1.
Monaghan, J. 2000. “SPH without a tensile instability.” J. Comput. Phys. 159 (2): 290–311. https://doi.org/10.1006/jcph.2000.6439.
Morris, J., P. Fox, and Y. Zhu. 1997. “Modeling low Reynolds number incompressible flows using SPH.” J. Comput. Phys. 136 (1): 214–226. https://doi.org/10.1006/jcph.1997.5776.
Oda, M., J. Konishi, and S. Nemat-Nasser. 1982. “Experimental micromechanical evaluation of strength of granular materials: Effects of particle rolling.” Mech. Mater. 1 (4): 269–283. https://doi.org/10.1016/0167-6636(82)90027-8.
Olson, S., and T. Stark. 2003. “Yield strength ratio and liquefaction analysis of slopes and embankments.” J. Geotech. Geoenviron. Eng. 129 (8): 727–737. https://doi.org/10.1061/(ASCE)1090-0241(2003)129:8(727).
Radjaï, F., and F. Dubois. 2011. Discrete-element modeling of granular materials. Hoboken, NJ: Wiley.
Sizkow, S., and U. El Shamy. 2021a. “A comparison between coupled SPH–DEM and LBM–DEM approaches for soil liquefaction.” In Proc., Int. Foundations Congress and Equipment Expo 2021, 53–60. Reston, VA: ASCE.
Sizkow, S., and U. El Shamy. 2021b. “Discrete element method simulations of the seismic response of flexible retaining walls.” J. Geotech. Geoenviron. Eng. 147 (2): 04020157. https://doi.org/10.1061/(ASCE)GT.1943-5606.0002428.
Sizkow, S., and U. El Shamy. 2021c. “SPH–DEM simulations of saturated granular soils liquefaction incorporating particles of irregular shape.” Comput. Geotech. 134: 104060. https://doi.org/10.1016/j.compgeo.2021.104060.
Soga, K., E. Alonso, A. Yerro, K. Kumar, and S. Bandara. 2016. “Trends in large-deformation analysis of landslide mass movements with particular emphasis on the material point method.” Géotechnique 66 (3): 248–273.
Sun, X., M. Sakai, and Y. Yamada. 2013. “Three-dimensional simulation of a solid–liquid flow by the DEM–SPH method.” J. Comput. Phys. 248: 147–176. https://doi.org/10.1016/j.jcp.2013.04.019.
Taboada-Urtuzuastegui, V., G. Martinez-Ramirez, and T. Abdoun. 2002. “Centrifuge modeling of seismic behavior of a slope in liquefiable soil.” Soil Dyn. Earthquake Eng. 22 (9–12): 1043–1049.
Thornton, C. 2000. “Numerical simulations of deviatoric shear deformation of granular media.” Géotechnique 50 (1): 43–53.
Ukritchon, B., and S. Keawsawasvong. 2018. “A new design equation for drained stability of conical slopes in cohesive-frictional soils.” J. Rock Mech. Geotech. Eng. 10 (2): 358–366. https://doi.org/10.1016/j.jrmge.2017.10.004.
Ukritchon, B., S. Yoang, and S. Keawsawasvong. 2020. “Undrained stability of unsupported rectangular excavations in non-homogeneous clays.” Comput. Geotech. 117: 103281. https://doi.org/10.1016/j.compgeo.2019.103281.
Wakai, A., and K. Ugai. 2004. “A simple constitutive model for the seismic analysis of slopes and its applications.” Soils Found. 44 (4): 83–97. https://doi.org/10.3208/sandf.44.4_83.
Wu, K., D. Yang, and N. Wright. 2016. “A coupled SPH–DEM model for fluid-structure interaction problems with free-surface flow and structural failure.” Comput. Struct. 177: 141–161. https://doi.org/10.1016/j.compstruc.2016.08.012.
Zamani, N., and U. El Shamy. 2011. “Analysis of wave propagation in dry granular soils using DEM simulations.” Acta Geotech. 6 (3): 167–182. https://doi.org/10.1007/s11440-011-0142-7.
Zhang, W., H. Zheng, F. Jiang, Z. Wang, and Y. Gao. 2019. “Stability analysis of soil slope based on a water-soil-coupled and parallelized smoothed particle hydrodynamics model.” Comput. Geotech. 108: 212–225. https://doi.org/10.1016/j.compgeo.2018.12.025.
Zhu, Y., P. Fox, and J. Morris. 1999. “A pore-scale numerical model for flow through porous media.” Int. J. Numer. Anal. Methods Geomech. 23 (9): 881–904. https://doi.org/10.1002/(ISSN)1096-9853.
Zou, Y., C. Chen, and L. Zhang. 2020. “Simulating progression of internal erosion in gap-graded sandy gravels using coupled CFD–DEM.” Int. J. Geomech. 20 (1): 04019135. https://doi.org/10.1061/(ASCE)GM.1943-5622.0001520.

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Go to International Journal of Geomechanics
International Journal of Geomechanics
Volume 22Issue 12December 2022

History

Received: Dec 28, 2021
Accepted: May 16, 2022
Published online: Sep 23, 2022
Published in print: Dec 1, 2022
Discussion open until: Feb 23, 2023

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Saman Farzi Sizkow Email: [email protected]
Graduate Research Assistant, Civil and Environmental Engineering Dept., Southern Methodist Univ., PO Box 750340, Dallas, TX 75275. Email: [email protected]
Associate Professor, Civil and Environmental Engineering Dept., Southern Methodist Univ., PO Box 750340, Dallas, TX 75275 (corresponding author). ORCID: https://orcid.org/0000-0003-1214-9040. Email: [email protected]

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