Suffusion of Gap-Graded Soil with Realistically Shaped Coarse Grains: A DEM–DFM Numerical Study
Publication: International Journal of Geomechanics
Volume 23, Issue 1
Abstract
Suffusion refers to the phenomenon in which fine particles in internal unstable soil are carried by seepage through skeleton pores. It is a type of internal erosion that can lead to major hazards for hydraulic and geotechnical engineering. In this study, the suffusion process is reproduced in gap-graded soil with realistically shaped coarse grains by coupling the discrete-element method (DEM) with dynamic fluid mesh (DFM), which can reproduce the pores formed by coarse particles and adapt to the deformation of the soil skeleton by changing the mesh according to the movement of coarse particles. Realistically shaped clumps are generated according to 49 Leighton Buzzard sand grains and applied to be the coarse grains in the gap-graded soil numerical model. We examine the roles of relevant parameters and compare the results with the model formed by spherical coarse grains. Two mechanisms (interlock effect and retention effect) hindering fines migration are identified at the pore-scale. The realistically shaped grains can better interlock, reducing porosity and squeezing fine particles. In addition, fines migration can be better prevented due to the roughness of the particle surface. Sensitivity analysis shows that the erosion mass increases with increasing hydraulic head, fine content, and the rising rate of the hydraulic head. Our results show that the erosion weight of the spherical particle model is much larger than that for the model of realistic grain shape; however, no evident difference in the suffusion pattern is observed between these two models.
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Acknowledgments
This work is supported by the National Key Research and Development Project (No. 2020YFC1808102) and National Natural Science Foundation of China (Nos. 41772286 and 42077247).
References
Abdelhamid, Y., and U. El Shamy. 2016. “Pore-scale modeling of fine-particle migration in granular filters.” Int. J. Geomech. 16: 04015086. https://doi.org/10.1061/(asce)gm.1943-5622.0000592.
Annapareddy, V. S. R., A. Sufian, T. Bore, M. Bajodek, and A. Scheuermann. 2022. “Computation of local permeability in gap-graded granular soils.” Géotechnique Lett. 12: 68–73. https://doi.org/10.1680/jgele.21.00131.
Bareither, C. A., T. B. Edil, C. H. Benson, and D. M. Mickelson. 2008. “Geological and physical factors affecting the friction angle of compacted sands.” J. Geotech. Geoenviron. Eng. 134: 1476–1489. https://doi.org/10.1061/(asce)1090-0241(2008)134:10(1476).
Bear, J. 1972. Dynamics of fluids in porous media. New York: American Elsevier Pub. Co.
Benn, D. I., and C. K. Ballantyne. 1993. “The description and representation of particle shape.” Earth Surf. Processes Landforms 18: 665–672. https://doi.org/10.1002/esp.3290180709.
Blanco, S. F. 2015. Learning SciPy for numerical and scientific computing. Birmingham, UK: Packt Publishing.
Boon, C. W., G. T. Houlsby, and S. Utili. 2012. “A new algorithm for contact detection between convex polygonal and polyhedral particles in the discrete element method.” Comput. Geotech. 44: 73–82. https://doi.org/10.1016/j.compgeo.2012.03.012.
Chang, D. S., and L. M. Zhang. 2013. “Critical hydraulic gradients of internal erosion under complex stress states.” J. Geotech. Geoenviron. Eng. 139: 1454–1467. https://doi.org/10.1061/(asce)gt.1943-5606.0000871.
Chapuis, R. P. 2012. “Predicting the saturated hydraulic conductivity of soils: A review.” Bull. Eng. Geol. Environ. 71: 401–434. https://doi.org/10.1007/s10064-012-0418-7.
Chen, C. 2018. “Soil deformation and evolution of stress-strain behaviour induced by internal erosion.” Ph.D. thesis, Dept. of Civil and Environmental Engineering, Hong Kong Univ. of Science and Technology.
Chen, C., L. M. Zhang, and D. S. Chang. 2016. “Stress-strain behavior of granular soils subjected to internal erosion.” J. Geotech. Geoenviron. Eng. 142: 06016014. https://doi.org/10.1061/(asce)gt.1943-5606.0001561.
Cheng, K., Y. Wang, and Q. Yang. 2018. “A semi-resolved CFD-DEM model for seepage-induced fine particle migration in gap-graded soils.” Comput. Geotech. 100: 30–51. https://doi.org/10.1016/j.compgeo.2018.04.004.
Cundall, P. A. 1971. “A computer model for simulating progressive large scale movements in blocky rock systems.” In Proc., of the Symp. of the Int. Society for Rock Mechanics, Society for Rock Mechanics. Göttingen, Germany: Vandenhoeck & Ruprecht.
Di Felice, R. 1994. “The voidage function for fluid-particle interaction systems.” Int. J. Multiphase Flow 20: 153–159. https://doi.org/10.1016/0301-9322(94)90011-6.
Ding, W.-T., and W.-J. Xu. 2018. “Study on the multiphase fluid-solid interaction in granular materials based on an LBM-DEM coupled method.” Powder Technol. 335: 301–314. https://doi.org/10.1016/j.powtec.2018.05.006.
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: 04020219. https://doi.org/10.1061/(asce)gm.1943-5622.0001856.
Hicher, P.-Y. 2013. “Modelling the impact of particle removal on granular material behaviour.” Géotechnique 63 (2): 118–128. https://doi.org/10.1680/geot.11.P.020.
Hu, Z., Y. Zhang, and Z. Yang. 2019. “Suffusion-induced deformation and microstructural change of granular soils: A coupled CFD–DEM study.” Acta Geotech. 14: 795–814. https://doi.org/10.1007/s11440-019-00789-8.
Huang, Z., Y. Bai, H. Xu, and J. Sun. 2021. “A theoretical model to predict suffusion-induced particle movement in cohesionless soil under seepage flow.” Eur. J. Soil Sci. 72: 1395–1409. https://doi.org/10.1111/ejss.13062.
Indraratna, B., and S. Radampola. 2002. “Analysis of critical hydraulic gradient for particle movement in filtration.” J. Geotech. Geoenviron. Eng. 128: 347–350. https://doi.org/10.1061/(asce)1090-0241(2002)128:4(347).
Itasca Consulting Group. 2016. PFC3D 5.0 user manual. Minneapolis: Itasca Consulting Group.
Iwashita, K., and M. Oda. 1998. “Rolling resistance at contacts in simulation of shear band development by DEM.” J. Eng. Mech. 124: 285–292. https://doi.org/10.1061/(ASCE)0733-9399(1998)124:3(285).
Jiang, M., Z. Shen, and J. Wang. 2015. “A novel three-dimensional contact model for granulates incorporating rolling and twisting resistances.” Comput. Geotech. 65: 147–163. https://doi.org/10.1016/j.compgeo.2014.12.011.
Kenney, T. C., and D. Lau. 1985. “Internal stability of granular filters.” Can. Geotech. J. 22: 215–225. https://doi.org/10.1139/t85-029.
Knight, C., C. O’Sullivan, B. van Wachem, and D. Dini. 2020. “Computing drag and interactions between fluid and polydisperse particles in saturated granular materials.” Comput. Geotech. 117: 103210. https://doi.org/10.1016/j.compgeo.2019.103210.
Lu, G., J. R. Third, and C. R. Müller. 2015. “Discrete element models for non-spherical particle systems: From theoretical developments to applications.” Chem. Eng. Sci. 127: 425–465. https://doi.org/10.1016/j.ces.2014.11.050.
Luo, Y.-l., L. Qiao, X.-x. Liu, M.-l. Zhan, and J.-c. Sheng. 2013. “Hydro-mechanical experiments on suffusion under long-term large hydraulic heads.” Nat. Hazard. 65: 1361–1377. https://doi.org/10.1007/s11069-012-0415-y.
Maroof, M. A., A. Mahboubi, and A. Noorzad. 2021. “Effects of grain morphology on suffusion susceptibility of cohesionless soils.” Granular Matter 23: 1–20. https://doi.org/10.1007/s10035-020-01075-1.
Marot, D., A. Rochim, H.-H. Nguyen, F. Bendahmane, and L. Sibille. 2016. “Assessing the susceptibility of gap-graded soils to internal erosion: Proposition of a new experimental methodology.” Nat. Hazard. 83: 365–388. https://doi.org/10.1007/s11069-016-2319-8.
Mašín, D., C. Tamagnini, G. Viggiani, and D. Costanzo. 2006. “Directional response of a reconstituted fine-grained soil - part II : Performance of different constitutive models.” Int. J. Numer. Anal. Methods Geomech. 30: 1303–1336. https://doi.org/10.1002/nag.
Mehdizadeh, A., M. M. Disfani, R. Evans, and A. Arulrajah. 2018. “Progressive internal erosion in a gap-graded internally unstable soil: Mechanical and geometrical effects.” Int. J. Geomech. 18: 04017160. https://doi.org/10.1061/(ASCE)GM.1943-5622.0001085.
Moffat, R., and J. R. Fannin. 2011. “A hydromechanical relation governing internal stability of cohesionless soil.” Can. Geotech. J. 48: 413–424. https://doi.org/10.1139/T10-070.
Moffat, R., R. J. Fannin, and S. J. Garner. 2011. “Spatial and temporal progression of internal erosion in cohesionless soil.” Can. Geotech. J. 48: 399–412. https://doi.org/10.1139/T10-071.
Moffat, R. A., and R. J. Fannin. 2006. “A large permeameter for study of internal stability in cohesionless soils.” Geotech. Test. J. 29: 100021. https://doi.org/10.1520/gtj100021.
Nguyen, T. T., and B. Indraratna. 2020. “A coupled CFD–DEM approach to examine the hydraulic critical state of soil under increasing hydraulic gradient.” Int. J. Geomech. 20: 04020138. https://doi.org/10.1061/(asce)gm.1943-5622.0001782.
Oueidat, M., A. Benamar, and A. Bennabi. 2021. “Effect of fine particles and soil heterogeneity on the initiation of suffusion.” Geotech. Geol. Eng. 39: 2359–2371. https://doi.org/10.1007/s10706-020-01632-8.
Pirnia, P., F. Duhaime, Y. Ethier, and J.-S. Dubé. 2020. “Hierarchical multiscale numerical modelling of internal erosion with discrete and finite elements.” Acta Geotech. 15: 2877–2889. https://doi.org/10.1007/s11440-020-01009-4.
Qian, J.-G., C. Zhou, Z.-Y. Yin, and W.-Y. Li. 2021. “Investigating the effect of particle angularity on suffusion of gap-graded soil using coupled CFD-DEM.” Comput. Geotech. 139: 104383. https://doi.org/10.1016/j.compgeo.2021.104383.
Rochim, A., D. Marot, L. Sibille, and V. Thao Le. 2017. “Effects of hydraulic loading history on suffusion susceptibility of cohesionless soils.” J. Geotech. Geoenviron. Eng. 143: 04017025. https://doi.org/10.1061/(asce)gt.1943-5606.0001673.
Shin, H., and J. C. Santamarina. 2013. “Role of particle angularity on the mechanical behavior of granular mixtures.” J. Geotech. Geoenviron. Eng. 139: 353–355. https://doi.org/10.1061/(asce)gt.1943-5606.0000768.
Shire, T., C. O’Sullivan, and K. J. Hanley. 2016. “The influence of fines content and size-ratio on the micro-scale properties of dense bimodal materials.” Granular Matter 18: 1–10. https://doi.org/10.1007/s10035-016-0654-9.
Sibille, L., F. Lominé, P. Poullain, Y. Sail, and D. Marot. 2015. “Internal erosion in granular media: Direct numerical simulations and energy interpretation.” Hydrol. Processes 29: 2149–2163. https://doi.org/10.1002/hyp.10351.
Silpa-Anan, C., and R. Hartley. 2008. “Optimised KD-trees for fast image descriptor matching.” In IEEE Conf. on Computer Vision & Pattern Recognition. Piscataway, NJ: IEEE.
Sufian, A., M. Artigaut, T. Shire, and C. O’Sullivan. 2021. “Influence of fabric on stress distribution in Gap-graded soil.” J. Geotech. Geoenviron. Eng. 147: 04021016. https://doi.org/10.1061/(asce)gt.1943-5606.0002487.
Taha, H., N.-S. Nguyen, D. Marot, A. Hijazi, and K. Abou-Saleh. 2019. “Micro-scale investigation of the role of finer grains in the behavior of bidisperse granular materials.” Granular Matter 21: 1–17. https://doi.org/10.1007/s10035-019-0867-9.
Terzaghi, K., and R. Peck. 1948. Soil mechanics in engineering practice. New York: Wiley.
Tsuji, Y., T. Kawaguchi, and T. Tanaka. 1993. “Discrete particle simulation of two-dimensional fluidized bed.” Powder Technol. 77: 79–87. https://doi.org/10.1016/0032-5910(93)85010-7.
Varadhan, G., and D. Manocha. 2006. “Accurate Minkowski sum approximation of polyhedral models.” Graphical Models 68: 343–355. https://doi.org/10.1016/j.gmod.2005.11.003.
Wan, C. F., and R. Fell. 2008. “Assessing the potential of internal instability and suffusion in embankment dams and their foundations.” J. Geotech. Geoenviron. Eng. 134: 401–407. https://doi.org/10.1061/(ASCE)1090-0241(2008)134:3(401).
Wang, P., and C. Arson. 2016. “Discrete element modeling of shielding and size effects during single particle crushing.” Comput. Geotech. 78: 227–236. https://doi.org/10.1016/j.compgeo.2016.04.003.
Wang, P., Z.-Y. Yin, and Z.-Y. Wang. 2022. “Micromechanical investigation of particle-size effect of granular materials in biaxial test with the role of particle breakage.” J. Eng. Mech. 148: 1–14. https://doi.org/10.1061/(asce)em.1943-7889.0002039.
Wang, P., Z.-Y. Yin, W.-H. Zhou, and W.-b. Chen. 2021. “Micro-mechanical analysis of soil–structure interface behavior under constant normal stiffness condition with DEM.” Acta Geotech. 17: 2711–2733. https://doi.org/10.1007/s11440-021-01374-8.
Wang, S., Y. Fan, and S. Ji. 2018. “Interaction between super-quadric particles and triangular elements andits application to hopper discharge.” Powder Technol. 339: 534–549. https://doi.org/10.1016/j.powtec.2018.08.026.
Wei, D., Z. Wang, J. M. Pereira, and Y. Gan. 2021. “Permeability of uniformly graded 3D printed granular media.” Geophys. Res. Lett. 48: 1–12. https://doi.org/10.1029/2020GL090728.
Wen, C. Y., and Y. H. Yu. 1966. “Mechanics of fluidization.” Chem. Eng. Prog. Symp. Ser. 62: 100–111.
Yang, J., Z.-Y. Yin, F. Laouafa, and P.-Y. Hicher. 2019. “Modeling coupled erosion and filtration of fine particles in granular media.” Acta Geotech. 14: 1615–1627. https://doi.org/10.1007/s11440-019-00808-8.
Yin, Z.-Y., P. Wang, and F. Zhang. 2020. “Effect of particle shape on the progressive failure of shield tunnel face in granular soils by coupled FDM-DEM method.” Tunnelling Underground Space Technol. 100: 103394. https://doi.org/10.1016/j.tust.2020.103394.
Zhang, F., M. Li, M. Peng, C. Chen, and L. Zhang. 2019. “Three-dimensional DEM modeling of the stress–strain behavior for the gap-graded soils subjected to internal erosion.” Acta Geotech. 14: 487–503. https://doi.org/10.1007/s11440-018-0655-4.
Zhang, F., T. Wang, F. Liu, M. Peng, J. Furtney, and L. Zhang. 2020. “Modeling of fluid-particle interaction by coupling the discrete element method with a dynamic fluid mesh: Implications to suffusion in gap-graded soils.” Comput. Geotech. 124: 103617. https://doi.org/10.1016/j.compgeo.2020.103617.
Zhao, S., and J. Zhao. 2019. “A poly-superellipsoid-based approach on particle morphology for DEM modeling of granular media.” Int. J. Numer. Anal. Methods Geomech. 43: 2147–2169. https://doi.org/10.1002/nag.2951.
Zheng, W., X. Hu, D. D. Tannant, K. Zhang, and C. Xu. 2019. “Characterization of two- and three-dimensional morphological properties of fragmented sand grains.” Eng. Geol. 263: 105358. https://doi.org/10.1016/j.enggeo.2019.105358.
Zheng, W., X. Hu, D. D. Tannant, and B. Zhou. 2021. “Quantifying the influence of grain morphology on sand hydraulic conductivity: A detailed pore-scale study.” Comput. Geotech. 135. https://doi.org/10.1016/j.compgeo.2021.104147.
Zhou, B., J. Wang, and H. Wang. 2018a. “Three-dimensional sphericity, roundness and fractal dimension of sand particles.” Géotechnique 68: 18–30. https://doi.org/10.1680/jgeot.16.P.207.
Zhou, B., J. Wang, and H. Wang. 2018b. “A novel particle tracking method for granular sands based on spherical harmonic rotational invariants.” Géotechnique 68: 1116–1123. https://doi.org/10.1680/jgeot.17.T.040.
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: 04019135. https://doi.org/10.1061/(asce)gm.1943-5622.0001520.
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Published In
International Journal of Geomechanics
Volume 23 • Issue 1 • January 2023
Copyright
© 2022 American Society of Civil Engineers.
History
Received: Nov 24, 2021
Accepted: Jul 27, 2022
Published online: Oct 21, 2022
Published in print: Jan 1, 2023
Discussion open until: Mar 21, 2023
ASCE Technical Topics:
- Analysis (by type)
- Coarse-grained soils
- Continuum mechanics
- Deformation (mechanics)
- Engineering fundamentals
- Engineering materials (by type)
- Engineering mechanics
- Erosion
- Geohazards
- Geology
- Geomechanics
- Geotechnical engineering
- Grain (material)
- Material mechanics
- Material properties
- Materials engineering
- Numerical analysis
- Particles
- Piping erosion
- Sensitivity analysis
- Soil deformation
- Soil mechanics
- Soils (by type)
- Solid mechanics
- Structural mechanics
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