Comptes Rendus
no. 8-9
On the modelling of piping erosion
[Sur la modélisation de l'érosion interne]

Présenté par : Presented by

Stéphane Bonelli1  ; Olivier Brivois1, 2 ; Roland Borghi2, 3 ; Nadia Benahmed1
1 Cemagref, Le Tholonet BP 31, 13612 Aix-en-Provence, France
2 Laboratoire de mécanique et d'acoustique (UPR-CNRS 7051), 31 chemin Joseph-Aiguier, 13402 Marseille, France
3 EGIM, IMT, technopôle de château-Gombert, 13451 Marseille, France
Comptes Rendus. Mécanique, Observation, analysis and modelling in complex fluid media, Volume 334 (2006) no. 8-9, pp. 555-559.

Un phénomène dénommé « renard » survient souvent sur les ouvrages hydrauliques. Il est lié à la formation et au développement d'un tunnel continu entre l'amont et l'aval. L'essai d'érosion au trou est très utilisé pour quantifier la cinétique d'érosion par renard. Toutefois, peu de travaux ont porté sur la modélisation de cette expérimentation. A partir des équations d'écoulement diphasique avec diffusion, et des équations de saut avec érosion, nous développons un modèle pour l'érosion par renard. Nous proposons un temps caractéristique de ce mécanisme d'érosion. Nous validons notre approche par comparaison avec des résultats expérimentaux.

A phenomenon called ‘piping’ often occurs in hydraulics works, involving the formation and evolution of a continuous tunnel between the upstream and the downstream sides. The hole erosion test is commonly used to quantify the rate of piping erosion. However, few attempts have been made to model these tests. From the equations for diphasic flow with diffusion, and the equations of jump with erosion, a piping model is developed. A characteristic time of internal erosion process is proposed. Comparison with experimental data validates our results.

Publié le :
DOI : 10.1016/j.crme.2006.07.003
Keywords: Soils, Two-phase flow, Internal erosion, Piping
Mots-clés : Sols, Écoulements diphasiques, Erosion interne, Renard

Stéphane Bonelli 1 ; Olivier Brivois 1, 2 ; Roland Borghi 2, 3 ; Nadia Benahmed 1

1 Cemagref, Le Tholonet BP 31, 13612 Aix-en-Provence, France
2 Laboratoire de mécanique et d'acoustique (UPR-CNRS 7051), 31 chemin Joseph-Aiguier, 13402 Marseille, France
3 EGIM, IMT, technopôle de château-Gombert, 13451 Marseille, France 
@article{CRMECA_2006__334_8-9_555_0,
     author = {St\'ephane Bonelli and Olivier Brivois and Roland Borghi and Nadia Benahmed},
     title = {On the modelling of piping erosion},
     journal = {Comptes Rendus. M\'ecanique},
     pages = {555--559},
     publisher = {Elsevier},
     volume = {334},
     number = {8-9},
     year = {2006},
     doi = {10.1016/j.crme.2006.07.003},
     language = {en},
}
TY  - JOUR
AU  - Stéphane Bonelli
AU  - Olivier Brivois
AU  - Roland Borghi
AU  - Nadia Benahmed
TI  - On the modelling of piping erosion
JO  - Comptes Rendus. Mécanique
PY  - 2006
SP  - 555
EP  - 559
VL  - 334
IS  - 8-9
PB  - Elsevier
DO  - 10.1016/j.crme.2006.07.003
LA  - en
ID  - CRMECA_2006__334_8-9_555_0
ER  - 
%0 Journal Article
%A Stéphane Bonelli
%A Olivier Brivois
%A Roland Borghi
%A Nadia Benahmed
%T On the modelling of piping erosion
%J Comptes Rendus. Mécanique
%D 2006
%P 555-559
%V 334
%N 8-9
%I Elsevier
%R 10.1016/j.crme.2006.07.003
%G en
%F CRMECA_2006__334_8-9_555_0
Stéphane Bonelli; Olivier Brivois; Roland Borghi; Nadia Benahmed. On the modelling of piping erosion. Comptes Rendus. Mécanique, Observation, analysis and modelling in complex fluid media, Volume 334 (2006) no. 8-9, pp. 555-559. doi : 10.1016/j.crme.2006.07.003. https://comptes-rendus.academie-sciences.fr/mecanique/articles/10.1016/j.crme.2006.07.003/

[1] R. Fell, C.F. Wan, Investigation of internal erosion and piping of soils in embankment dams by the slot erosion test and the hole erosion test, UNICIV Report No R-412, The University of New South Wales Sydney, ISSN 0077 880X, 2002

[2] C.F. Wan; R. Fell Investigation of rate of erosion of soils in embankment dams, Journal of Geotechnical and Geoenvironmental Engineering, Volume 30 (2004) no. 4, pp. 373-380

[3] C.F. Wan; R. Fell Laboratory tests on the rate of piping erosion of soils in embankment dams, Journal of Geotechnical Testing Journal, Volume 27 (2004) no. 3

[4] R.I. Nigmatulin Dynamics of Multiphase Media, Book News, Inc., Portland, 1990

[5] O. Brivois, Contribution à la modélisation de l'érosion de fortes pentes par un écoulement turbulent diphasique, Thèse Université Aix-Marseille II, 2005

[6] H. Schlichting Boundary Layer Theory, McGraw–Hill, New York, 1987

[7] P.Y. Julien Erosion and Sedimentation, Cambridge Univ. Press, Cambridge, 1995

  • G. Desir The influence of weathering on piping erosion processes on large dimension pipes, Advanced Tools for Studying Soil Erosion Processes (2024), p. 337 | DOI:10.1016/b978-0-443-22262-7.00033-3
  • Shaoheng Dai; Xuzhen He; Chenxi Tong; Feng Gao; Sheng Zhang; Daichao Sheng Stability of sandy soils against internal erosion under cyclic loading and quantitatively examination of the composition and origin of eroded particles, Canadian Geotechnical Journal, Volume 61 (2024) no. 4, p. 732 | DOI:10.1139/cgj-2023-0325
  • Emeka Peter Mazi; Hamad El Kahza; Pejman Sanaei Mathematical modeling of deposition and erosion in porous media with branching channels, Physical Review Fluids, Volume 9 (2024) no. 11 | DOI:10.1103/physrevfluids.9.114301
  • Amy María Sims; Sai Kunnatha; Emeka Peter Mazi; Priyanka Joseph; Kulsum Saber; Daniel Hwang; Pejman Sanaei Simplified mathematical model for erosion and deposition in a porous medium, Physical Review Fluids, Volume 9 (2024) no. 12 | DOI:10.1103/physrevfluids.9.124306
  • Hamad El Kahza; Pejman Sanaei Mathematical modeling of erosion and deposition in porous media, Physical Review Fluids, Volume 9 (2024) no. 2 | DOI:10.1103/physrevfluids.9.024301
  • Chegrouche Rabab; Mohamed Salah Laouar; Ali Fernane; Salah Messast Experimental investigation of collapsible soils under oedometric loading: effect of internal erosion, South Florida Journal of Development, Volume 5 (2024) no. 9, p. e4341 | DOI:10.46932/sfjdv5n9-012
  • Manash Jyoti Bora; Weiling Cai; Sreeja Pekkat; Ankit Garg; Sreedeep Sekharan Development of a simplified theoretical model to determine erodibility of compacted soil in hole erosion test based on fluid energy transformation, Acta Geotechnica, Volume 18 (2023) no. 10, p. 5441 | DOI:10.1007/s11440-023-01877-6
  • Bahaeldeen Zaid; Florian Vollert; Jens Gibmeier; Lena Mengel; Oliver Stelzer; Achim Schneider Application of micro-computed X-ray tomography for improving the hole erosion test analysis on high plastic clay, Acta Geotechnica, Volume 18 (2023) no. 2, p. 865 | DOI:10.1007/s11440-022-01606-5
  • Margi Dave; Ashish Juneja Erosion of soil around damaged buried water pipes—a critical review, Arabian Journal of Geosciences, Volume 16 (2023) no. 5 | DOI:10.1007/s12517-023-11391-4
  • Weiling Cai; Manash Jyoti Bora; Sreeja Pekkat; Sanandam Bordoloi; Ankit Garg; Sreedeep Sekharan A new and simple model for predicting soil erosion based on hole erosion tests, Acta Geophysica, Volume 71 (2022) no. 2, p. 823 | DOI:10.1007/s11600-022-00904-6
  • I. C. Scheperboer; A. S. J. Suiker; E. Bosco; F. H. L. R. Clemens A coupled hydro-mechanical model for subsurface erosion with analyses of soil piping and void formation, Acta Geotechnica, Volume 17 (2022) no. 11, p. 4769 | DOI:10.1007/s11440-022-01479-8
  • Yunzhi Chen; Wei Chen; Saeid Janizadeh; Gouri Sankar Bhunia; Amit Bera; Quoc Bao Pham; Nguyen Thi Thuy Linh; Abdul-Lateef Balogun; Xiaojing Wang Deep learning and boosting framework for piping erosion susceptibility modeling: spatial evaluation of agricultural areas in the semi-arid region, Geocarto International, Volume 37 (2022) no. 16, p. 4628 | DOI:10.1080/10106049.2021.1892212
  • Xingsheng Zhang; Chi-Yuen Wang; Henry Wong; Tong Jiang; Jinyu Dong Modeling dam deformation in the early stage of internal seepage erosion – Application to the Teton Dam, Idaho, before the 1976 incident, Journal of Hydrology, Volume 605 (2022), p. 127378 | DOI:10.1016/j.jhydrol.2021.127378
  • Xiushao Zhao; Linhao Zhao; Qijing Yang; Ziyao Wang; An Cheng; Linli Mo; Jianwei Yan Permeability and Disintegration Characteristics of Composite Improved Phyllite Soil by Red Clay and Cement, Minerals, Volume 13 (2022) no. 1, p. 32 | DOI:10.3390/min13010032
  • Chenghao Chen; Shiang Mei; Shengshui Chen; Yi Tang; Chengwei Wan Laboratory investigation of erosion behavior at the soil–structure interface affected by various structural factors, Natural Hazards, Volume 111 (2022) no. 1, p. 1065 | DOI:10.1007/s11069-021-05070-4
  • Ba Huu Dinh; Anh-Dan Nguyen; Seo-Yong Jang; Young-Sang Kim Evaluation of erosion characteristics of soils using the pinhole test, International Journal of Geo-Engineering, Volume 12 (2021) no. 1 | DOI:10.1186/s40703-021-00145-4
  • André F.V. Matias; Rodrigo C.V. Coelho; José S. Andrade; Nuno A.M. Araújo Flow through time–evolving porous media: Swelling and erosion, Journal of Computational Science, Volume 53 (2021), p. 101360 | DOI:10.1016/j.jocs.2021.101360
  • Amin Falamaki; Ali Shafiee; Mahnaz Eskandari; Kamran Mohamadzadebabr Choice of fiber-reinforced base material to reduce internal erosion mass transport, Arabian Journal of Geosciences, Volume 13 (2020) no. 5 | DOI:10.1007/s12517-020-5225-z
  • Shahab S. Band; Saeid Janizadeh; Sunil Saha; Kaustuv Mukherjee; Saeid Khosrobeigi Bozchaloei; Artemi Cerdà; Manouchehr Shokri; Amirhosein Mosavi Evaluating the Efficiency of Different Regression, Decision Tree, and Bayesian Machine Learning Algorithms in Spatial Piping Erosion Susceptibility Using ALOS/PALSAR Data, Land, Volume 9 (2020) no. 10, p. 346 | DOI:10.3390/land9100346
  • Anthony Khoury; Eduardo Divo; Alain Kassab; Sai Kakuturu; Lakshmi Reddi Meshless Modeling of Flow Dispersion and Progressive Piping in Poroelastic Levees, Fluids, Volume 4 (2019) no. 3, p. 120 | DOI:10.3390/fluids4030120
  • R. Béguin; L. Oxarango; L. Sapin; A. Garandet; A. Viglino; E. François; H. Mora; F. Martins; L. Duchesne; D. Albrecht; A. Esnault-Filet; I. Gutjahr; L. Lépine Experimental Tests of Soil Reinforcement Against Erosion and Liquefaction by Microbially Induced Carbonate Precipitation, Internal Erosion in Earthdams, Dikes and Levees, Volume 17 (2019), p. 16 | DOI:10.1007/978-3-319-99423-9_2
  • Andrea Francesco Rotunno; Carlo Callari; Francesco Froiio A finite element method for localized erosion in porous media with applications to backward piping in levees, International Journal for Numerical and Analytical Methods in Geomechanics, Volume 43 (2019) no. 1, p. 293 | DOI:10.1002/nag.2864
  • Yang Yang; Reiko Kuwano An Experimental Investigation of Piping Effects on the Mechanical Properties of Toyoura Sand, KSCE Journal of Civil Engineering, Volume 22 (2018) no. 8, p. 2810 | DOI:10.1007/s12205-017-0314-6
  • S. M. Fattahi; A. Soroush; P. T. Shourijeh The Hole Erosion Test: A Comparison of Interpretation Methods, Geotechnical Testing Journal, Volume 40 (2017) no. 3, p. 494 | DOI:10.1520/gtj20160069
  • A. Masoodi; M.R. Majdzadeh Tabatabai; A. Noorzad; A. Samadi Effects of soil physico-chemical properties on stream bank erosion induced by seepage in northeastern Iran, Hydrological Sciences Journal, Volume 62 (2017) no. 16, p. 2597 | DOI:10.1080/02626667.2017.1403030
  • R. Jäger; M. Mendoza; H. J. Herrmann Channelization in porous media driven by erosion and deposition, Physical Review E, Volume 95 (2017) no. 1 | DOI:10.1103/physreve.95.013110
  • Alba Yerro; Alexander Rohe; Kenichi Soga Modelling Internal Erosion with the Material Point Method, Procedia Engineering, Volume 175 (2017), p. 365 | DOI:10.1016/j.proeng.2017.01.048
  • Ahmed Hammadi; Nasre-Dine Ahfir; Abdellah Alem; HuaQing Wang Effects of Particle Size Non-Uniformity on Transport and Retention in Saturated Porous Media, Transport in Porous Media, Volume 118 (2017) no. 1, p. 85 | DOI:10.1007/s11242-017-0848-6
  • References, Dam Failure Mechanisms and Risk Assessment (2016), p. 452 | DOI:10.1002/9781118558522.refs
  • Yang Yang; R Kuwano; Xu Chao, Scour and Erosion (2016), p. 1099 | DOI:10.1201/9781315375045-140
  • Fabienne Mercier; S. Bonelli; F. Golay; F. Anselmet; P. Philippe; R. Borghi Numerical modelling of concentrated leak erosion during Hole Erosion Tests, Acta Geotechnica, Volume 10 (2015) no. 3, p. 319 | DOI:10.1007/s11440-014-0349-5
  • Mizuha FUJINA; Yutaka FUKUMOTO; Akira MURAKAMI 2D DIRECT NUMERICAL SIMULATION OF HOLE EROSION TESTS BY PARTICLE-FLUID COUPLED MODEL, Journal of Japan Society of Civil Engineers, Ser. A2 (Applied Mechanics (AM)), Volume 71 (2015) no. 2, p. I_567 | DOI:10.2208/jscejam.71.i_567
  • H.M.D. Harshani; S.A. Galindo-Torres; A. Scheuermann; H.B. Muhlhaus Micro-mechanical analysis on the onset of erosion in granular materials, Philosophical Magazine, Volume 95 (2015) no. 28-30, p. 3146 | DOI:10.1080/14786435.2015.1049237
  • Garey A. Fox; Rachel G. Felice; Taber L. Midgley; Glenn V. Wilson; Abdul‐Sahib T. Al‐Madhhachi Laboratory soil piping and internal erosion experiments: evaluation of a soil piping model for low‐compacted soils, Earth Surface Processes and Landforms, Volume 39 (2014) no. 9, p. 1137 | DOI:10.1002/esp.3508
  • Da-yu Wang; Xu-dong Fu; Yu-xin Jie; Wei-jie Dong; Die Hu Simulation of pipe progression in a levee foundation with coupled seepage and pipe flow domains, Soils and Foundations, Volume 54 (2014) no. 5, p. 974 | DOI:10.1016/j.sandf.2014.09.003
  • H. Wong; X.S. Zhang; C.J. Leo; T.A. Bui Internal Erosion of Earth Structures as a Coupled Hydromechanical Process, Applied Mechanics and Materials, Volume 330 (2013), p. 1084 | DOI:10.4028/www.scientific.net/amm.330.1084
  • Brian R. Marker Land Subsidence, Encyclopedia of Natural Hazards (2013), p. 583 | DOI:10.1007/978-1-4020-4399-4_208
  • X. S. Zhang; H. Wong; C. J. Leo; T. A. Bui; J. X. Wang; W. H. Sun; Z. Q. Huang A Thermodynamics-Based Model on the Internal Erosion of Earth Structures, Geotechnical and Geological Engineering, Volume 31 (2013) no. 2, p. 479 | DOI:10.1007/s10706-012-9600-8
  • Iman Haghighi; Christophe Chevalier; Myriam Duc; Sylvine Guédon; Philippe Reiffsteck Improvement of Hole Erosion Test and Results on Reference Soils, Journal of Geotechnical and Geoenvironmental Engineering, Volume 139 (2013) no. 2, p. 330 | DOI:10.1061/(asce)gt.1943-5606.0000747
  • X.-S. Zhang; J.-X. Wang; H. Wong; C.-J. Leo; Q. Liu; Y.-Q. Tang; X.-L. Yan; W.-H. Sun; Z.-Q. Huang; X.-H. Hao Land subsidence caused by internal soil erosion owing to pumping confined aquifer groundwater during the deep foundation construction in Shanghai, Natural Hazards, Volume 69 (2013) no. 1, p. 473 | DOI:10.1007/s11069-013-0718-7
  • Lyacine Bennacer; Nasre-Dine Ahfir; Abderrazak Bouanani; Abdellah Alem; Huaqing Wang Suspended Particles Transport and Deposition in Saturated Granular Porous Medium: Particle Size Effects, Transport in Porous Media, Volume 100 (2013) no. 3, p. 377 | DOI:10.1007/s11242-013-0220-4
  • Nadia Benahmed; Christophe Chevalier; Stéphane Bonelli Concentrated Leak Erosion, Erosion of Geomaterials (2012), p. 155 | DOI:10.1002/9781118561737.ch5
  • Stéphane Bonelli; Frédéric Golay; Fabienne Mercier Modeling of Interfacial Erosion, Erosion of Geomaterials (2012), p. 187 | DOI:10.1002/9781118561737.ch6
  • Nadia Benahmed; Stéphane Bonelli Investigating concentrated leak erosion behaviour of cohesive soils by performing hole erosion tests, European Journal of Environmental and Civil Engineering, Volume 16 (2012) no. 1, p. 43 | DOI:10.1080/19648189.2012.667667
  • B. Kissi; M. Angel Parron Vera; M. D. Rubio Cintas; A. Khamlichi Modeling the fluid/soil interface erosion in the Hole Erosion Test, MATEC Web of Conferences, Volume 1 (2012), p. 00003 | DOI:10.1051/matecconf/20120100003
  • Marco Redaelli Reliability of flood embankments: a new methodology, Proceedings of the Institution of Civil Engineers - Geotechnical Engineering, Volume 165 (2012) no. 3, p. 143 | DOI:10.1680/geng.11.00039
  • Brent Putman; Yaoguo Li; Ryan North, SEG Technical Program Expanded Abstracts 2012 (2012), p. 1 | DOI:10.1190/segam2012-1309.1
  • Régis Cottereau; Pedro Díez Numerical modeling of erosion using an improvement of the extended finite element method, European Journal of Environmental and Civil Engineering, Volume 15 (2011) no. 8, p. 1187 | DOI:10.1080/19648189.2011.9714848
  • Stéphane Bonelli; Didier Marot Micromechanical modeling of internal erosion, European Journal of Environmental and Civil Engineering, Volume 15 (2011) no. 8, p. 1207 | DOI:10.1080/19648189.2011.9714849
  • Hua-Qing Wang; Nasre-Dine Ahfir; Abdellah Alem; Anthony Beaudoin; Ahmed Benamar; Abdel Ghadir El Kawafi; Samira Oukfif; Samiara El Haddad; Hui Wang Solid Particles Transport in Porous Media: Experimentation and Modelling, Water Security in the Mediterranean Region (2011), p. 97 | DOI:10.1007/978-94-007-1623-0_8
  • Kissi Benaissa; Parron Vera Miguel Angel; Rubio Cintas Maria Dolores; El Bakkali Larbi; Khamlichi Abdellatif; Bezzazi Mohammed; Dubujet Philippe Effect of Wall Roughness and Concentration of Clay on Erosion in the Hole Erosion Test, American Journal of Engineering and Applied Sciences, Volume 3 (2010) no. 4, p. 734 | DOI:10.3844/ajeassp.2010.734.739
  • Mohammed Bezzazi; Abdellatif Khamlichi; Miguel Prron Vera; Maria Dolores Cintas Rubio; Castillo Lopez Olegario A Simplified Analytical Modeling of the Hole Erosion Test, American Journal of Engineering and Applied Sciences, Volume 3 (2010) no. 4, p. 765 | DOI:10.3844/ajeassp.2010.765.768
  • Régis Cottereau; Pedro Díez; Antonio Huerta Modeling, with a unified level-set representation, of the expansion of a hollow in the ground under different physical phenomena, Computational Mechanics, Volume 46 (2010) no. 2, p. 315 | DOI:10.1007/s00466-009-0443-y
  • Guidoux Cyril; Faure Yves-Henri; Beguin Rémi; Ho Chia-Chun Contact Erosion at the Interface between Granular Coarse Soil and Various Base Soils under Tangential Flow Condition, Journal of Geotechnical and Geoenvironmental Engineering, Volume 136 (2010) no. 5, p. 741 | DOI:10.1061/(asce)gt.1943-5606.0000268
  • C. Chevalier; I. Haghighi; T. L. Pham; Ph. Reiffsteck, Scour and Erosion (2010), p. 152 | DOI:10.1061/41147(392)14
  • R. Beguin; Y.-H. Faure; C. Guidoux; P. Philippe, Scour and Erosion (2010), p. 387 | DOI:10.1061/41147(392)37
  • Richard Binner; Ulrike Homberg; Steffen Prohaska; Ute Kalbe; Karl-Josef Witt, Scour and Erosion (2010), p. 397 | DOI:10.1061/41147(392)38
  • G. V. Wilson Mechanisms of ephemeral gully erosion caused by constant flow through a continuous soil‐pipe, Earth Surface Processes and Landforms, Volume 34 (2009) no. 14, p. 1858 | DOI:10.1002/esp.1869
  • B. Gouldby; P. Sayers; J. Mulet-Marti; M. A. A. M. Hassan; D. Benwell Discussion: A methodology for regional-scale flood risk assessment, Proceedings of the Institution of Civil Engineers - Water Management, Volume 162 (2009) no. 5, p. 347 | DOI:10.1680/wama.2009.162.5.347
  • Nasre-Dine Ahfir; Ahmed Benamar; Abdellah Alem; HuaQing Wang Influence of Internal Structure and Medium Length on Transport and Deposition of Suspended Particles: A Laboratory Study, Transport in Porous Media, Volume 76 (2009) no. 2, p. 289 | DOI:10.1007/s11242-008-9247-3
  • Damien Lachouette; Frédéric Golay; Stéphane Bonelli One-dimensional modeling of piping flow erosion, Comptes Rendus. Mécanique, Volume 336 (2008) no. 9, p. 731 | DOI:10.1016/j.crme.2008.06.007

Cité par 61 documents. Sources : Crossref

Commentaires - Politique

Il n'y a aucun commentaire pour cet article. Soyez le premier à écrire un commentaire !

Publier un nouveau commentaire:

Publier une nouvelle réponse:

Ces articles pourraient vous intéresser

One-dimensional modeling of piping flow erosion

Damien Lachouette; Frédéric Golay; Stéphane Bonelli

C. R. Méca (2008)

Interfacial erosion: A three-dimensional numerical model

Frédéric Golay; Damien Lachouette; Stéphane Bonelli; ...

C. R. Méca (2010)