Internal Piping Erosion Evaluation of Embankment Dam Considering the Spatial Variability of Soil Properties
Publication: ASCE-ASME Journal of Risk and Uncertainty in Engineering Systems, Part A: Civil Engineering
Volume 10, Issue 2
Abstract
Piping erosion is a crucial trigger for dam breaches. However, the effects of inherent spatial variability on seepage properties have not been considered adequately, which could lead to a significant underestimation of the risk of piping-erosion-induced dam failure. Additionally, the complex formation mechanism of erosion pipe formation poses challenges in determining the seepage path. This study proposes a probabilistic evaluation framework which combines a hydraulic–mechanical coupling method with random finite-element analysis. Failure indicators, namely hydraulic gradient and kinetic energy, are utilized within this framework. Based on the proposed framework, the spatial variability of soil properties can be considered effectively, and three cases of dams were analyzed. The results show that the proposed framework can provide a macroscopic visualization of the erosion pipe process. In addition, this framework reveals piping erosion occurrence in approximately 40% of hydraulic samples, whereas deterministic analyses fail to detect any instances of piping erosion. This suggests that deterministic analysis considerably underestimates the risk of piping erosion in practice. The effects of the depth of antiseepage measurements on the formation process of piping erosion are discussed. The results indicate that a medium-depth cut-off wall can meet the impervious requirements and reduce the construction cost in engineering practice.
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Data Availability Statement
All data, models, or code that support the findings of this study are available from the corresponding author upon reasonable request.
Acknowledgments
This research is supported by the National Natural Science foundation of China (Grant No. 52079099) and the International Joint Research Platform Seed Fund Program of Wuhan University (Grant No. WHUZZJJ202207). Ruohan Wang has received financial support from the China Scholarship Council (CSC). Guan Chen is grateful for the financial support of the Sino-German (CSC-DAAD) Postdoc Scholarship Program.
References
Ahmadi, M., M. Madadi, M. Disfani, T. Shire, and G. Narsilio. 2021. “Reconstructing the microstructure of real gap-graded soils in DEM: Application to internal instability.” Powder Technol. 394 (Dec): 504–522. https://doi.org/10.1016/j.powtec.2021.08.073.
Akrami, S., A. Bezuijen, V. van Beek, E. Rosenbrand, J. Terwindt, and U. Förster. 2021. “Analysis of development and depth of backward erosion pipes in the presence of a coarse sand barrier.” Acta Geotech. 16 (2): 381–397. https://doi.org/10.1007/s11440-020-01053-0.
Andreini, M., P. Gardoni, S. Pagliara, and M. Sassu. 2016. “Probabilistic models for erosion parameters and reliability analysis of earth dams and levees.” J. Risk Uncertainty Eng. Syst. Part A: Civ. Eng. 2 (4): 04016006. https://doi.org/10.1061/AJRUA6.0000878.
Benson, C. H. 1993. “Probability distributions for hydraulic conductivity of compacted soil liners.” J. Geotech. Eng. 119 (3): 471–486. https://doi.org/10.1061/(ASCE)0733-9410(1993)119:3(471).
Blunt, M. J., M. D. Jackson, M. Piri, and P. H. Valvatne. 2002. “Detailed physics, predictive capabilities and macroscopic consequences for pore-network models of multiphase flow.” Adv. Water Resour. 25 (8–12): 1069–1089. https://doi.org/10.1016/S0309-1708(02)00049-0.
Bovi, R. C., C. A. Moreira, V. S. Rosolen, F. T. G. Rosa, L. M. Furlan, and L. P. I. Helene. 2020. “Piping process: Genesis and network characterization through a pedological and geophysical approach.” Geoderma 361 (Jun): 114101. https://doi.org/10.1016/j.geoderma.2019.114101.
Chen, X. J., Y. Fu, and Y. Liu. 2022. “Random finite element analysis on uplift bearing capacity and failure mechanisms of square plate anchors in spatially variable clay.” Eng. Geol. 304 (22): 106677. https://doi.org/10.1016/j.enggeo.2022.106677.
Ching, J., and K. K. Phoon. 2019. “Impact of autocorrelation function model on the probability of failure.” J. Eng. Mech. 145 (1): 04018123. https://doi.org/10.1061/(ASCE)EM.1943-7889.0001549.
Fell, R., C. F. Wan, J. Cyganiewicz, and M. Foster. 2003. “Time for development of internal erosion and piping in embankment dams.” J. Geotech. Geoenviron. Eng. 129 (4): 307–314. https://doi.org/10.1061/(ASCE)1090-0241(2003)129:4(307).
Foster, M. A. 1999. “The probability of failure of embankment dams by internal erosion and piping.” Ph.D. thesis, School of Civil and Environmental Engineering, Univ. of New South Wales.
Froiio, F., C. Callari, and A. F. Rotunno. 2019. “A numerical experiment of backward erosion piping: Kinematics and micromechanics.” Meccanica 54 (14): 2099–2117. https://doi.org/10.1007/s11012-019-01071-7.
Fu, J. F., and S. Jin. 2009. “A study on unsteady seepage flow through dam.” J. Hydrodyn. Ser. B 21 (4): 499–504. https://doi.org/10.1016/S1001-6058(08)60176-6.
Fujisawa, K., A. Murakami, and S. I. Nishimura. 2010. “Numerical analysis of the erosion and the transport of fine particles within soils leading to the piping phenomenon.” Soils Found. 50 (4): 471–482. https://doi.org/10.3208/sandf.50.471.
García Martínez, M. F., L. Tonni, M. Marchi, S. Tozzi, and G. Gottardi. 2020. “Numerical tool for prediction of sand boil reactivations near river embankments.” J. Geotech. Geoenviron. Eng. 146 (12): 06020023. https://doi.org/10.1061/(ASCE)GT.1943-5606.0002380.
Guo, X., D. Dias, C. Carvajal, L. Peyras, and P. Breul. 2021. “Modelling and comparison of different types of random fields: Case of a real earth dam.” Eng. Comput. 38 (5): 1–15. https://doi.org/10.1007/s00366-021-01495-4.
Hoffmans, G., and L. Van Rijn. 2018. “Hydraulic approach for predicting piping in dikes.” J. Hydraul. Res. 56 (2): 268–281. https://doi.org/10.1080/00221686.2017.1315747.
Johari, A., and A. Gholampour. 2018. “A practical approach for reliability analysis of unsaturated slope by conditional random finite element method.” Comput. Geotech. 102 (Jun): 79–91. https://doi.org/10.1016/j.compgeo.2018.06.004.
Kamanbedast, A., and A. Delvari. 2012. “Analysis of earth dam: Seepage and stability using Ansys and Geo-Studio software.” World Appl. Sci. J. 17 (9): 1087–1094.
Li, D. Q., S. H. Jiang, Z. J. Cao, W. Zhou, C. B. Zhou, and L. M. Zhang. 2015. “A multiple response-surface method for slope reliability analysis considering spatial variability of soil properties.” Eng. Geol. 187 (Dec): 60–72. https://doi.org/10.1016/j.enggeo.2014.12.003.
Liu, J. 1992. Seepage stability and seepage control of soil. Beijing: China Water and Power Press.
Liu, J. F., H. Y. Ni, X. L. Cao, L. K. Ma, J. N. Guo, and X. Chen. 2020. “Laboratory investigation on gas permeability of compacted GMZ bentonite under a coupled hydraulic-mechanical effect.” Eng. Geol. 276 (20): 105761. https://doi.org/10.1016/j.enggeo.2020.105761.
Liu, K., P. J. Vardon, and M. A. Hicks. 2018. “Probabilistic analysis of seepage for internal stability of earth embankments.” Environ. Geotech. 6 (5): 294–306. https://doi.org/10.1680/jenge.17.00040.
Liu, L. L., Y. M. Cheng, S. H. Jiang, S. H. Zhang, X. M. Wang, and Z. H. Wu. 2017. “Effects of spatial autocorrelation structure of permeability on seepage through an embankment on a soil foundation.” Comput. Geotech. 87 (Feb): 62–75. https://doi.org/10.1016/j.compgeo.2017.02.007.
Liu, Y., F. H. Lee, S. T. Quek, and M. Beer. 2014. “Modified linear estimation method for generating multi-dimensional multi-variate Gaussian field in modelling material properties.” Probab. Eng. Mech. 38 (Sep): 42–53. https://doi.org/10.1016/j.probengmech.2014.09.001.
Liu, Y., F. H. Lee, S. T. Quek, E. J. Chen, and J. T. Yi. 2015. “Effect of spatial variation of strength and modulus on the lateral compression response of cement-admixed clay slab.” Géotechnique 65 (10): 851–865. https://doi.org/10.1680/jgeot.14.P.254.
Liu, Y., S. T. Quek, and F. H. Lee. 2016. “Translation random field with marginal beta distribution in modeling material properties.” Struct. Saf. 61 (Jul): 57–66. https://doi.org/10.1016/j.strusafe.2016.04.001.
Liu, Y. J., Z. Y. Yin, L. Z. Wang, and Y. Hong. 2021. “A coupled CFD–DEM investigation of internal erosion considering suspension flow.” Can. Geotech. J. 58 (9): 1411–1425. https://doi.org/10.1139/cgj-2020-0099.
Liu, Z., Q. Chen, X. Li, C. Chen, C. Zhou, and C. Wang. 2023. “A review of the research on the failure potential of landslide dams caused by overtopping and seepage.” Nat. Hazards 116 (2): 1513–1538. https://doi.org/10.1007/s11069-022-05726-9.
Malát, R., J. Rott, M. Černíková, J. Franců, J. Boháč, and D. Mašín. 2016. “Determination of erosion thickness by numerical back analysis: The case study of Badenian clays in the Carpathian Foredeep, Czech Republic.” Eng. Geol. 214 (Nov): 50–59. https://doi.org/10.1016/j.enggeo.2016.09.010.
Mao, C. X. 2005. “Study on piping and filters: Part I of piping.” [In Chinese.] Rock Soil Mech. 26 (2): 209–215.
Mao, C. X., X. B. Duan, and L. J. Wu. 2009. “Study of critical gradient of piping for various grain sizes in sandy gravels.” [In Chinese.] Rock Soil Mech. 30 (12): 3705–3709.
Ming, P., J. Lu, X. Cai, M. Liu, and X. Chen. 2020. “Multi-particle model of the critical hydraulic gradient for dike piping.” Soil Mech. Found. Eng. 57 (3): 200–210. https://doi.org/10.1007/s11204-020-09656-1.
Morelli, G., V. Rimondi, M. Benvenuti, D. Medas, P. Costagliola, and M. Gasparon. 2017. “Experimental simulation of arsenic desorption from Quaternary aquifer sediments following sea water intrusion.” Appl. Geochem. 87 (10): 176–187. https://doi.org/10.1016/j.apgeochem.2017.10.024.
Mozafari, M., P. Milanović, and J. Jamei. 2021. “Water leakage problems at the Tangab Dam reservoir (SW Iran), Case study of the complexities of dams on karst.” Bull. Eng. Geol. Environ. 80 (10): 7989–8007. https://doi.org/10.1007/s10064-021-02387-z.
Pan, Y., Y. Liu, and E. J. Chen. 2019. “Probabilistic investigation on defective jet-grouted cut-off wall with random geometric imperfections.” Géotechnique 69 (5): 420–433. https://doi.org/10.1680/jgeot.17.P.254.
Parrón Vera, M. P., F. Yakhlef, M. R. Cintas, O. C. Lopez, P. Dubujet, A. Khamlichi, and M. Bezzazi. 2014. “Analytical solution of coupled soil erosion and consolidation equations by asymptotic expansion approach.” Appl. Math. Modell. 38 (15–16): 4086–4098. https://doi.org/10.1016/j.apm.2014.02.006.
Phoon, K. K., and F. H. Kulhawy. 1999. “Evaluation of geotechnical property variability.” Can. Geotech. J. 36 (4): 625–639. https://doi.org/10.1139/t99-039.
Richards, K. S., and K. R. Reddy. 2014. “Kinetic energy method for predicting initiation of backward erosion in earthen dams and levees.” Environ. Eng. Geosci. 20 (1): 85–97. https://doi.org/10.2113/gseegeosci.20.1.85.
Rotunno, A. F., C. Callari, and F. Froiio. 2019. “A finite element method for localized erosion in porous media with applications to backward piping in levees.” Int. J. Numer. Anal. Methods Geomech. 43 (1): 293–316. https://doi.org/10.1002/nag.2864.
Sarchani, S., and A. G. Koutroulis. 2022. “Probabilistic dam breach flood modeling: The case of Valsamiotis dam in Crete.” Nat. Hazards 114 (2): 1763–1814. https://doi.org/10.1007/s11069-022-05446-0.
Shadabfar, M., H. Huang, H. Kordestani, and E. V. Muho. 2020. “Reliability analysis of slope stability considering uncertainty in water table level.” J. Risk Uncertainty Eng. Syst. Part A: Civ. Eng. 6 (3): 04020025. https://doi.org/10.1061/AJRUA6.0001072.
Swiss Standard. 1999. Characteristics coefficient of soils. Zurich, Switzerland: Association of Swiss Road and Traffic Engineers.
Terzaghi, K. 1943. Theoretical soil mechanics. New York: Wiley.
Van Beek, V. M., H. M. Van Essen, K. Vandenboer, and A. Bezuijen. 2015. “Developments in modelling of backward erosion piping.” Géotechnique 65 (9): 740–754. https://doi.org/10.1680/geot.14.P.119.
van Genuchten, M. T. 1980. “A closed-form equation for predicting the hydraulic conductivity of unsaturated soils.” Soil Sci. Soc. Am. J. 44 (5): 892–898. https://doi.org/10.2136/sssaj1980.03615995004400050002x.
Wang, R. H., D. Q. Li, E. J. Chen, and Y. Liu. 2021a. “Dynamic prediction of mechanized shield tunneling performance.” Autom. Constr. 132 (21): 103958. https://doi.org/10.1016/j.autcon.2021.103958.
Wang, R. H., D. Q. Li, M. Y. Wang, and Y. Liu. 2021b. “Deterministic and probabilistic investigations of piping occurrence during tunneling through spatially variable soils.” J. Risk Uncertainty Eng. Syst. Part A: Civ. Eng. 7 (2): 04021009. https://doi.org/10.1061/AJRUA6.0001124.
Wang, R. H., P. G. Sun, D. Q. Li, A. Tyagi, and Y. Liu. 2021c. “Three-dimensional seepage investigation of riverside tunnel construction considering heterogeneous permeability.” J. Risk Uncertainty Eng. Syst. Part A: Civ. Eng. 7 (4): 04021041. https://doi.org/10.1061/AJRUA6.0001180.
Winkels, T. G., K. M. Cohen, S. M. Knaake, H. Middelkoop, and E. Stouthamer. 2021. “Geological framework for assessing variability in subsurface piping parameters underneath dikes in the Rhine-Meuse delta, the Netherlands.” Eng. Geol. 294 (21): 106362. https://doi.org/10.1016/j.enggeo.2021.106362.
Xu, X., G. V. Wilson, F. Zheng, and Q. Tang. 2020. “The role of soil pipe and pipeflow in headcut migration processes in loessic soils.” Earth Surf. Processes Landforms 45 (8): 1749–1763. https://doi.org/10.1002/esp.4843.
Xu, Z., and Y. Ye. 2022. “On the evaluation of internal stability of gap-graded soil: A status quo review.” Nat. Hazards 113 (1): 63–102. https://doi.org/10.1007/s11069-022-05317-8.
Zhang, L., M. Peng, D. Chang, and Y. Xu. 2016. Dam failure mechanisms and risk assessment. New York: Wiley.
Zhou, J., Z. Yao, Y. Bai, and J. Zhang. 2008. “Meso-mechanical study on piping in sandy soils.” [In Chinese.] J. Tongji Univ. 36 (6): 733–737.
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Published In
ASCE-ASME Journal of Risk and Uncertainty in Engineering Systems, Part A: Civil Engineering
Volume 10 • Issue 2 • June 2024
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© 2024 American Society of Civil Engineers.
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Received: Aug 19, 2023
Accepted: Oct 31, 2023
Published online: Jan 24, 2024
Published in print: Jun 1, 2024
Discussion open until: Jun 24, 2024
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