Abstract
This work presents a short account of some recent advances in the numerical simulation of backward erosion piping, accomplished in the framework of a collaborative research between Italian and French research groups. After a brief review of the state of the art in engineering practice and research, we outline the key points of a novel approach and show some of the results obtained in an extensive validation work.
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References
Abati A, Callari C (2014) Finite element formulation of unilateral boundary conditions for unsaturated flow in porous continua. Water Res Res 50(6):5114–5130
Achmus M, Mansour B (2006) Considerations and model tests on the design of river barrages with respect to piping. In: Proceedings of the third international conference on scour and erosion. Amsterdam, The Netherlands
Bligh W (1910) Dams, barrages and weirs on porous foundations. Eng News 64(26):708–710
Bonelli S (ed) (2012) Erosion of geomaterials. Wiley-ISTE, London, Hoboken
Bonelli S, Brivois O (2008) The scaling law in the hole erosion test with a constant pressure drop. Int J Numer Anal Methods Geomech 32(13):1573–1595
British Standards Institution (2004) Eurocode 7: geotechnical design—part 1: general rules (BS EN 1997–1:2004). British standards, BSI
Callari C, Abati A (2009) Finite element methods for unsaturated porous solids and their application to dam engineering problems. Comput Struct 87:485–501
Cheng L, Draper S, An H (eds) (2014) Scour and erosion: proceedings of the 7th international conference on scour and erosion. Perth, Australia
Cottereau R, Díez P, Huerta A (2010) Modeling, with a unified level-set representation, of the expansion of a hollow in the ground under different physical phenomena. Comput Mech 46(2):315–327
Federico F, Montanaro A (2012) Granulometric stability of moraine embankment dam materials. Int Water Power Dam Construct 64(2):32–36
Fell R, Fry J-J (eds) (2007) Internal erosion of dams and their foundations. EDF, IREX, Taylor and Francis/Balkema, Leiden, The Netherlands
Fell R, Wan CF, Foster MA (2007) Assessment of the likelihood of initiation of erosion in embankment dams. In: Internal erosion of dams and their foundations, pp 71–102
Fell R, MacGregor P, Stapledon D, Bell G, Foster M (2014) Geotech engineering of dams. CRC Press/Balkema, Leiden
Foster M, Fell R, Spannagle M (2000) The statistics of embankment dam failures and accidents. Can Geotech J 37(5):1000–1024
Koenders MA, Sellmeijer JB (1992) Mathematical model for piping. J Geotech Eng 118(6):943–946
Lane E (1935) Security from under-seepage-masonry dams on earth foundations. Trans Am Soc Civil Eng 100(1):1235–1272
Lominé F, Scholtès L, Sibille L, Poullain P (2013) Modeling of fluid-solid interaction in granular media with coupled lattice Boltzmann/discrete element methods: application to piping erosion. Int J Numeric Anal Methods Geomech 37(6):577–596
de Rijke W (1991) Verificatie piping model: proven in de deltagoot. Technical Report H1202, Deltares (WL), Delft, The Netherlands
Rotunno AF, Callari C, Froiio F (2017) A finite element method for localized erosion in porous media with applications to backward piping in levees. In preparation
Schmertmann JH (2000) The no-filter factor of safety against piping through sands. The heritage and future of the geotechnical engineering profession, ASCE, judgment and innovation
Sellmeijer JB, Koenders MA (1991) A mathematical model for piping. Appl Math Model 15(11):646–651
Sellmeijer H, De la Cruz JL, van Beek VM, Knoeff H (2011) Fine-tuning of the backward erosion piping model through small-scale, medium-scale and IJ experiments. Eur J Environ Civil Eng 15(82):1139–1154
Sellmeyer JB (1988) On the mechanism of piping under impervious structures. Technische Universiteit, Delft
Sharif Y, Elkholy M, Hanif Chaudhry M, Imran J (2015) Experimental study on the piping erosion process in earthen embankments. J Hydraul Eng 141(7):04015012
Sibille L, Lominé F, Poullain P, Sail Y, Marot D (2015) Internal erosion in granular media: direct numerical simulations and energy interpretation. Hydrol Proces 29(9):2149–2163
Tanaka T, Nagai S, Doi H, Hirose T (2014) Experimental findings regarding piping failure of embankments. In: Scour and erosion: proceedings of the 7th international conference on scour and erosion, pp 87–93
Taylor R (2008) FEAP—a finite element analysis program: version 8.2
Terzaghi K, Peck R, Mesri G (1996) Soil mechanics in engineering practice. Wiley, New York
Tran DK, Prime N, Froiio F, Callari C, Vincens E (2016) Numerical modeling of backward front propagation in piping erosion by DEM-LBM coupling. Eur J Environ Civil Eng, http://dx.doi.org/10.1080/19648189.2016.1248794
van Beek VM, Koelewijn AR, Kruse GAM, Sellmeijer JB, Barends FBJ (2008) Piping phenomena in heterogeneous sands: experiment and simulations. In: Proceedings of the 4th international conference on scour and erosion. Tokyo, Japan
van Beek VM, De Bruijn H, Knoeff J, Bezuijen A, Forster U (2011a) Levee failure due to piping: a full-scale experiment. In: Burns SE, Bhatia SK, Avila CM, Hunt BE (eds) Scour and erosion: proceedings of the fifth international conference on scour and erosion. San Francisco, California, USA
van Beek VM, Knoeff H, Sellmeijer H (2011b) Observations on the process of backward erosion piping in small-, medium- and full-scale experiments. Eur J Environ Civil Eng 15(8):1115–1137
van Beek VM, Yao Q, Van M, Barends F (2012) Validation of sellmeijer model for backward piping under dikes on multiple sand layers. In: Proceedings of the 6th international conference on scour and erosion. Paris, France
van Beek VM, van Essen HM, Vandenboer K, Bezuijen A (2015) Developments in modelling of backward erosion piping. Géotechnique 65(9):740–754
Vandenboer K, Bezuijen A, van Beek VM (2014) 3d character of backward erosion piping: small-scale experiments. In: Scour and erosion: proceedings of the 7th international conference on scour and erosion, pp 81–86
Wan C, Fell R (2004a) Investigation of rate of erosion of soils in embankment dams. J Geotech Geoenviron Eng 130(4):373–380
Wan C, Fell R (2004b) Laboratory tests on the rate of piping erosion of soils in embankment dams. Geotech Testing J 27(3):295–303
Wang D, Fu X, Jie Y, Dong W, Hu D (2014) Simulation of pipe progression in a levee foundation with coupled seepage and pipe flow domains. Soils Found 54(5):974–984
Weijers JBA, Sellmeijer JB (1993) A new model to deal with the piping mechanism. In: Brauns J, Herbaum M, Schuler U (eds) Filters in geotechnical and hydraulic engineering. Balkema, Rotterdam, pp 1–23
Zhang X, Wong H, Leo C, Bui T (2013) A thermodynamics-based model on the internal erosion of earth structures. Geotech Geol Eng 31(2):479–492
Acknowledgements
The research was financially supported by GIS VOR 2012, LTDS 2012 and PRIN 2010–2011 projects as well as by two PhD and a VINCI mobility fellowships. The research has benefited from several invitations of C. Callari at ECL.
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Rotunno, A.F., Callari, C., Froiio, F. (2017). Computational Modeling of Backward Erosion Piping. In: Frémond, M., Maceri, F., Vairo, G. (eds) Models, Simulation, and Experimental Issues in Structural Mechanics. Springer Series in Solid and Structural Mechanics, vol 8. Springer, Cham. https://doi.org/10.1007/978-3-319-48884-4_12
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