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A study of suffusion kinetics inspired from experimental data: comparison of three different approaches

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Abstract

Suffusion is a complex phenomenon characterized by a selective migration of the fine particles under the effect of three coupled processes: detachment, transport and possible filtration of the fine fraction. With the objective to reproduce the kinetics of the suffusion process, a new energy-based constitutive relationship, inspired from the energy-based approach, is proposed. Moreover, this energy-based relationship is compared with other constitutive relationships inspired from the shear stress-based approach and the power-based approach. Each predicted eroded mass evolution is consistently compared against experimental measurements. For each individual specimen, the shear stress-based constitutive relationship tackles well the initiation of the suffusion process but overestimates the development of the process. On the other hand, both the energy-based and the power-based constitutive relationships can reproduce reasonably well the evolution of the cumulative eroded mass. Finally, the intrinsic quality (i.e., independent of the sample size and of the loading path, at least at the laboratory scale) of all parameters is examined and advantages and drawbacks of each approach are also highlighted.

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References

  1. Bendahmane F, Marot D, Alexis A (2008) Experimental parametric study of suffusion and backward erosion. J Geotech Geoenviron Eng 134(1):57–67

    Article  Google Scholar 

  2. Bui TA, Gelet R, Marot D (2019) Modelling of internal erosion based on mixture theory: general framework and a case study of soil suffusion. Int J Numer Anal Methods Geomech 43(15):2407–2430

    Article  Google Scholar 

  3. Chang D, Zhang L (2011) A stress-controlled erosion apparatus for studying internal erosion in soils. Geotech Test J 34(6):579–589

    Google Scholar 

  4. Chang DS, Zhang LM (2013) Extended internal stability criteria for soils under seepage. Soils Found 53(4):569–583

    Article  Google Scholar 

  5. Fell R, Fry JJ (2014) The state of the art of assessing the likelihood of internal erosion of embankment dams, water retaining structures and their foundations. In: Internal erosion of dams and their foundations, Aussois, France, 25–27 April 2005, CRC Press, pp 9–32

  6. Foster M, Fell R, Spannagle M (2000) The statistics of embankment dam failures and accidents. Can Geotech J 37(5):1000–1024

    Article  Google Scholar 

  7. Garcia-Bengochea I, Altschaeffl AG, Lovell CW (1979) Pore distribution and permeability of silty clays. J Geotech Eng Div 105(7):839–856

    Google Scholar 

  8. Hanson G, Simon A (2001) Erodibility of cohesive streambeds in the loess area of the midwestern USA. Hydrol Process 15(1):23–38

    Article  Google Scholar 

  9. Horikoshi K, Takahashi A (2015) Suffusion-induced change in spatial distribution of fine fractions in embankment subjected to seepage flow. Soils Found 55(5):1293–1304

    Article  Google Scholar 

  10. Hu Z, Yida Z, Zhongxuan Y (2019) Suffusion-induced deformation and microstructural change of granular soils: a coupled CFD-DEM study. Acta Geotech 14(3):795–814

    Article  Google Scholar 

  11. Hyndman RJ, Athanasopoulos G (2018) Forecasting: principles and practice. OTexts

  12. Kenney T, Lau D (1985) Internal stability of granular filters. Can Geotech J 22(2):215–225

    Article  Google Scholar 

  13. Kovacs G (1981) Developments in water science seepage hydraulics, chap 3.2

  14. Le VT (2017) Development of a new device and statistical analysis for characterizing soil sensibility face suffusion process. Ph.D. thesis, Université de Nantes

  15. Le V, Marot D, Rochim A, Bendahmane F, Nguyen H (2016) Suffusion susceptibility characterization by triaxial erodimeter and statistical analysis. In: Scour and Erosion: proceedings of the 8th international conference on scour and erosion (Oxford, UK, 12–15 September 2016), CRC Press, p 453

  16. Marot D, Bendahmane F, Rosquoet F, Alexis A (2009) Internal flow effects on isotropic confined sand-clay mixtures. Soil Sediment Contam 18(3):294–306

    Article  Google Scholar 

  17. Marot D, Regazzoni PL, Wahl T (2011) Energy-based method for providing soil surface erodibility rankings. J Geotech Geoenviron Eng 137(12):1290–1293

    Article  Google Scholar 

  18. Marot D, Le VD, Garnier J, Thorel L, Audrain P (2012) Study of scale effect in an internal erosion mechanism: centrifuge model and energy analysis. Eur J Environ Civ Eng 16(1):1–19

    Article  Google Scholar 

  19. Marot D, Rochim A, Nguyen HH, Bendahmane F, Sibille L (2016) Assessing the susceptibility of gap-graded soils to internal erosion: proposition of a new experimental methodology. Nat Hazards 83(1):365–388

    Article  Google Scholar 

  20. Marot D, Benamar A (2012) Suffusion, transport and filtration of fine particles in granular soil. S. Bonelli, Éd., London, ISTE

  21. Moffat RA, Fannin RJ (2006) A large permeameter for study of internal stability in cohesionless soils. Geotech Test J 29(4):273–279

    Google Scholar 

  22. Nguyen CD (2018) Etude expérimentale de l’impact de l’érosion par suffusion sur les propriétés physiques et mécaniques des sols. Ph.D. thesis, Aix-Marseille

  23. Nguyen HH, Marot D, Bendahmane F (2012) Erodibility characterisation for suffusion process in cohesive soil by two types of hydraulic loading. La Houille Blanche 6:54–60

    Article  Google Scholar 

  24. Nguyen CD, Benahmed N, Andó E, Sibille L, Philippe P (2019) Experimental investigation of microstructural changes in soils eroded by suffusion using x-ray tomography. Acta Geotech 14(3):749–765

    Article  Google Scholar 

  25. Reboul N, Vincens E, Cambou B (2010) A computational procedure to assess the distribution of constriction sizes for an assembly of spheres. Comput Geotech 37(1–2):195–206

    Article  Google Scholar 

  26. Reddi LN, Lee IM, Bonala MV (2000) Comparison of internal and surface erosion using flow pump tests on a sand-kaolinite mixture. Geotech Test J 23(1):116–122

    Article  Google Scholar 

  27. Rochim A, Marot D, Sibille L, Le Thao V (2017) Effects of hydraulic loading history on suffusion susceptibility of cohesionless soils. J Geotech Environ Eng 143(7):04017025

    Article  Google Scholar 

  28. Rousseau Q, Sciarra G, Gelet R, Marot D (2020) Modelling the poroelastoplastic behaviour of soils subjected to internal erosion by suffusion. Int J Numer Anal Methods Geomech 44(1):117–136

    Article  Google Scholar 

  29. Sail Y, Marot D, Sibille L, Alexis A (2011) Suffusion tests on cohesionless granular matter: experimental study. Eur J Environ Civ Eng 15(5):799–817

    Google Scholar 

  30. Sibille L, Marot D, Sail Y (2015) A description of internal erosion by suffusion and induced settlements on cohesionless granular matter. Acta Geotech 10(6):735–748

    Article  Google Scholar 

  31. Skempton A, Brogan J (1994) Experiments on piping in sandy gravels. Geotechnique 44(3):449–460

    Article  Google Scholar 

  32. Vardoulakis I, Papamichos E (1991) Surface instabilities in elastic anisotropic media with surface-parallel griffith cracks. Int J Rock Mech Min Sci Geomech Abstracts 28:163–173

    Article  Google Scholar 

  33. Wan CF, Fell R (2004) Investigation of rate of erosion of soils in embankment dams. J Geotech Geoenviron Eng 130(4):373–380

    Article  Google Scholar 

  34. Yang J, Yin ZY, Laouafa F, Hicher PY (2019) Modeling coupled erosion and filtration of fine particles in granular media. Acta Geotech 14(6):1615–1627

    Article  Google Scholar 

  35. Zhang X, Wong H, Leo CJ, Bui TA, Wang J, Sun W, Huang Z (2013) A thermodynamics-based model on the internal erosion of earth structures. Geotech Geol Eng 31(2):479–492

    Article  Google Scholar 

  36. Zhong C, Le VT, Bendahmane F, Marot D, Yin ZY (2018) Investigation of spatial scale effects on suffusion susceptibility. J Geotech Geoenviron Eng 144(9):04018067

    Article  Google Scholar 

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Acknowledgements

The authors would like to acknowledge the National Council for Scientific Research of Lebanon (CNRS-L) and the Lebanese University (UL) for providing a financial support for this work. The financial supports provided by the CEDRE Partenariat Hubert Curien (PHC) are also gratefully acknowledged.

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Correspondence to R. Gelet.

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Kodieh, A., Gelet, R., Marot, D. et al. A study of suffusion kinetics inspired from experimental data: comparison of three different approaches. Acta Geotech. 16, 347–365 (2021). https://doi.org/10.1007/s11440-020-01016-5

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  • DOI: https://doi.org/10.1007/s11440-020-01016-5

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