Study on Three-Dimensional Hydro‑Mechanical‑Chemical Fully Coupled Model for Pollutant Transport of Composite Liners
DOI: https://doi.org/10.62517/jiem.202503203
Author(s)
Yang Jinzhu
Affiliation(s)
Key Laboratory of Urban Security and Disaster Engineering, Ministry of Education, Beijing University of Technology, Beijing, China
Abstract
In complex construction environment, there are often holes in the composite gasket geomembrane, and it is easy to bend upward to form wrinkles. Holes and wrinkles are the key factors for pollutants to enter the underlying clay bedding, which will change its hydraulic and mechanical properties and dynamic coupling response. The three-dimensional multi-physical field fully coupled model which can describe the true state of geomembrane defects can accurately predict the migration law of pollutants inside the composite gasket, which is of great significance for the design and service performance evaluation of the composite gasket. Based on Biot consolidation theory and the mass conservation equation of pore fluid and pollutant, a three-dimensional hydro‑mechanical‑chemical (HMC) fully coupled pollutant transport model with membrane defects is established in this paper. The coupling model was numerically calculated using COMSOL Multiphysics software, and the coupling response laws of soil under two conditions with only holes and wrinkles were compared and analyzed. The results show that the existence of wrinkles can not only expand the pollutant leakage area, but also increase the negative pore water pressure and the depth of influence. Increasing the amount of soil settlement and rebound makes the pad appear uneven settlement; At the same time, it will greatly accelerate the migration rate of pollutants. Compared with the condition without wrinkle, the maximum negative pore water pressure and sedimentation amount in the initial stage increased by 80% and 50%, respectively, and the breakdown depth of pollutants increased by 97.6% when the simulation time was 50 years.
Keywords
Holes; Wrinkles; Three-dimensional Hydro‑mechanical‑chemical Fully Coupled Model; Composite Liners
References
[1] Chen Yunmin, Xie Haijian, Zhang Chunhua. Review on penetration of barriers by contaminants and technologies for groundwater and soil contamination control [J]. Advances in Science and Technology of Water Resources, 2016, 36(01): 1-10.
[2] Huang L, Zhao C G, Liu Y, et al. 3D contaminant migration model with consolidation dependent transport coefficients [J]. Acta Mechanica Sinica, 2012, 28(1): 151-163.
[3] Chen Y M. A fundamental theory of environmental geotechnics and its application [J]. Chinese Journal of Geotechnical Engineering, 2014, 36(1): 1-46.
[4] Zhou Lian, An Da, Yang Yanmei, et al. Predicting leakage and contaminant transport through composite liners in hazardous waste landfill [J]. Acta Scientiae Circumstantiae, 2017, 37(06): 2210-2217.
[5] Zhang Qian, Lu Hai-jun, Cai Guang-hua, et al. Adsorption and transportation properties of cadmium in modified clay containing sewage sludge ash as landfill liner [J]. Journal of Southeast University (Natural Science Edition), 2016, 46 (z1): 174-178.
[6] Li Y C, Cleall P J, Thomas H R. Multi-dimensional chemo-osmotic consolidation of clays [J]. Computers and Geotechnics, 2011, 38(4): 423-429.
[7] Kooi H, Garavito A M, Bader S. Numerical modelling of chemical osmosis and ultrafiltrationacross clay formations [J]. Journal of Geochemical Exploration, 2003, 78: 333-336.
[8] Ferrell R E, Aagaard P, Forsman J, et al. Application of a geochemical transport model to predict heavy metal retention (Pb) by clay liners [J]. Applied Cay Sience, 2002, 21 (1-2): 59-66.
[9] Li Z, Alessi D, Zhang P, et al. Organo-illite as a low permeability sorbent to retard migration of anionic contaminants [J]. Journal of Environmental Engineering, 2002, 128(7): 583-587.
[10] Baderr S, Kooi H. Modelling of solute and water transport in semi-permeable clay membranes: comparison with experiments [J]. Advances in Water Resources, 2005, 28(3): 203-214.
[11] Zhang Z H, Masum S A, Thomas H R, et al. Modeling fully coupled hydraulic-mechanical-chemical processes in a natural clay liner under mechanical and chemico-osmotic consolidation [J]. Environmental Science and Pollution Research, 2018, 25(36): 36173-36183.
[12] Zheng X, Wang L, Xu Y. Analytical solutions of 1-D chemo-hydro-mechanical coupled model of saturated soil considering osmotic efficiency [J]. International Journal for Numerical and Analytical Methods in Geomechanics, 2021, 45(17): 2522-2540.
[13] Smith D W. One-dimensional contaminant transport through a deforming porous medium: theory and a solution for a quasi-steady-state problem [J]. International journal for numerical and analytical methods in geomechanics, 2000, 24(8): 693-722.
[14] Qiu J W, Chen X L, Tong J. Fully transient analytical solution for solute transport in 1D deforming saturated porous media considering nonlinear compressibility and permeability [J]. Applied Mathematical Modelling, 2022. 108, 122-141.
[15] Xie H J, Yan H X, Feng S J, et al. An analytical model for contaminant transport in landfill composite liners considering coupled effect of consolidation, diffusion, and degradation [J]. Environmental Science and Pollution Research, 2016, 23 (19): 19362-19375.
[16] Kaczmarek M, Hueckel T, Chawla V, et al. Transport through a clay barrier with the contaminant concentration dependent permeability [J]. Transport in porous media, 1997, 29(2): 159-178.
[17] Peters G P, Smith D W. The influence of advective transport on coupled chemical and mechanical consolidation of clays [J]. Mechanics of Materials, 2004, 36(5): 467-486.
[18] Tian Gailei, Zhang Zhihong. Analysis on soil consolidation deformation and solute transport under non-isothermal conditions [J]. Journal of Southeast University (Natural Science Edition), 2021, 51(5): 819-825.
[19] Zhang Z H, Fang Y F. A Three-Dimensional Model Coupled Mechanical Consolidation and Contaminant Transport [J]. Journal of Residuals Science & Technology, 2016, 13(2): 121-133.
[20] Zhang Z H, Fang Y F, Li X D. 3D transport of solute in deformable soils with different adsorption modes [J]. Soil Mechanics and Foundation Engineering, 2017, 54(2): 128-136.
[21] Bouazza A. Geosynthetic clay liners [J]. Geotextiles and Geomembranes, 2002, 20(1): 3-17.
[22] Rowe R K, Brachman R W I. Assessment of equivalence of composite liners [J]. Geosynthetics International, 2004, 11(4): 273-286.
[23] Yan H, WU J, Thomas H R, et al. Analytical model for coupled consolidation and diffusion of organic contaminant transport in triple landfill liners [J]. Geotextiles and Geomembranes, 2021, 49(2): 489-499.
[24] Fan J, Rowe R K. Effect of a lateral drainage layer on leakage through a defect in a geomembrane overlain by saturated tailings [J]. Geotextiles and Geomembranes, 2024, 52(4): 383-395.
[25] Take W A, Chappel M J, Brachman R W I, et al. Quantifying geomembrane wrinkles using aerial photography and digital image processing [J]. Geosynthetics International, 2007, 14(4): 219-227.
[26] Giroud J P. Quantification of geosynthetic behavior [J]. Geosynthetics International, 2005, 12(1): 2-27.
[27] Rowe R K. Long-term performance of contaminant barrier systems [J]. Geotechnique, 2005, 55(9): 631-678.
[28] Zhan T L T, Guan C, Xle H J, et al. Vertical migration of leachate pollutants in clayey soils beneath an uncontrolled landfill at Huainan, China: a field and theoretical investigation [J]. Science of the Total Environment, 2014, 470-471: 290-298.
[29] Zhang Zhihong, Shi Yumin, Zhu Min. Coupled hydro-mechanical-chemical model for clay liner [J]. Chinese Journal of Geotechnical Engineering, 2016, 38(7): 1283-1290.
[30] Hart R D, St John C M. Formulation of a fully coupled thermal-mechanical-fluid flow model for non-linear geologic systems [J]. International Journal of Rock Mechanics and Mining Science and Geomechanics Abstracts, 1986, 23(3): 213-224.
[31] Rowe R K. Geosynthetics and the minimization of contaminant migration through barrier systems beneath solid waste [J]. 1998: 27-103.
[32] Rowe R K, Chappel M J, Brachman R W I, et al. Field study of wrinkles in a geomembrane at a composite liner test site [J]. Canadian Geotechnical Journal, 2012, 49 (10): 1196-1211.
[33] Rowe R K. Protecting the environment with geosynthetics: 53rd Karl Terzaghi lecture [J]. Journal of Geotechnical and Geoenvironmental Engineering, 2020, 146(9): 040200.
[34] Xie H J, Chen Y M, Lou Z H. An analytical solution to contaminant transportthrough composite liners with geomembrane defects [J]. Science China Technological Sciences, 2010, 53(5): 1424-1433.
[35] Malusis M A, Kang J B, Shackelford C D. Restricted salt diffusion in a geosynthetic clay liner [J]. Environmental Geotechnics, 2015, 2(2): 68-77.
[36] Liu Jianguo, Wang Hongtao, Nie Yong-feng. Fractal model for predicting effective diffusion coefficient of solute in porous media [J]. Advances in Water Science, 2004, 15 (04): 458-462.
[37] Rowe R K. Short and long-term leakage through composite liners [J]. Canadian Geotechnical Journal, 2012b, 49(2): 141-169.
[38] Zhang Chunhua, Huang Jiangdong, Deng Zhengding, et al. One-dimension model for transport of organic contaminants in double-artificial composite liner under thermal osmosis [J]. Chinese Journal of Geotechnical Engineering, 2024, 46(06): 1254-1262.
[39] Zhang Z H, Masum S A, Thomas R H, et al. Modeling fully coupled hydraulic-mechanical-chemical processes in a natural clay liner under mechanical and chemico-osmotic consolidation [J]. Environmental science and pollution research international, 2018, 25 (36): 36173-36183.
[40] Zhang Chunhua, Wu Jiawei, Chen Yun, et al. Simplified method for determination of thickness of composite liners based on contaminant breakthrough time [J]. Chinese Journal of Geotechnical Engineering, 2020, 42(10): 1841-1848.
[41] Zhang Zhihong, Shi Yumin. Influence mechanism and calculation method for soil deformation under double load [J]. Journal of Southeast University (Natural Science Edition), 2016, 46(S1): 148-152.