Jiashu Zhou, Zhihong Zhang, Lin Han, Xixin Lu, Jinkun Huang, Rencai Jin
{"title":"阶梯加载条件下污染物运移的一维全耦合水-机械-化学模型及其解析解","authors":"Jiashu Zhou, Zhihong Zhang, Lin Han, Xixin Lu, Jinkun Huang, Rencai Jin","doi":"10.1002/nag.3906","DOIUrl":null,"url":null,"abstract":"<div>\n \n <p>Stepped dumpling of waste is the main operating method used in landfill engineering. For the liners located at the bottom of the landfill, the waste can be considered as a vertical loading due to its heavy weight, causing compressive deformation of the liners and, most importantly, tending to lose the effectiveness of the geomembrane with the differential deformation. However, most experiments or numerical models use transient-loading and ignore the influence of variable step-loading on liner performance. In this study, a one-dimensional fully coupled hydro-mechanical-chemical (HMC) model for contaminant transport under the framework of small strain, taking into account the step-loading effect, is proposed, and its analytical solutions are derived by using the separation of variables. The behavior of contaminant transport in a single-layer clay liner is investigated under variable step-loading conditions. Analytical results show that the step-loading can significantly accelerate the transport of contaminants compared to the transient-loading. Variation of the step-loading rate from 2 to 4 times yields an increase of 6.1 and 15.2 years of the breakthrough time. At a step-loading rate of 50 kPa/year, the breakthrough increases by 13.37 years, and the peak settlement reduces to half that under transient-loading. Ignoring the influence of step-loading on contaminant transport may overestimate the performance of clay liners.</p>\n </div>","PeriodicalId":13786,"journal":{"name":"International Journal for Numerical and Analytical Methods in Geomechanics","volume":"49 3","pages":"895-910"},"PeriodicalIF":3.4000,"publicationDate":"2024-12-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"One-Dimensional Fully Coupled Hydro-Mechanical-Chemical Model for Contaminant Transport Under Step-Loading Condition and Its Analytical Solutions\",\"authors\":\"Jiashu Zhou, Zhihong Zhang, Lin Han, Xixin Lu, Jinkun Huang, Rencai Jin\",\"doi\":\"10.1002/nag.3906\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<div>\\n \\n <p>Stepped dumpling of waste is the main operating method used in landfill engineering. For the liners located at the bottom of the landfill, the waste can be considered as a vertical loading due to its heavy weight, causing compressive deformation of the liners and, most importantly, tending to lose the effectiveness of the geomembrane with the differential deformation. However, most experiments or numerical models use transient-loading and ignore the influence of variable step-loading on liner performance. In this study, a one-dimensional fully coupled hydro-mechanical-chemical (HMC) model for contaminant transport under the framework of small strain, taking into account the step-loading effect, is proposed, and its analytical solutions are derived by using the separation of variables. The behavior of contaminant transport in a single-layer clay liner is investigated under variable step-loading conditions. Analytical results show that the step-loading can significantly accelerate the transport of contaminants compared to the transient-loading. Variation of the step-loading rate from 2 to 4 times yields an increase of 6.1 and 15.2 years of the breakthrough time. At a step-loading rate of 50 kPa/year, the breakthrough increases by 13.37 years, and the peak settlement reduces to half that under transient-loading. Ignoring the influence of step-loading on contaminant transport may overestimate the performance of clay liners.</p>\\n </div>\",\"PeriodicalId\":13786,\"journal\":{\"name\":\"International Journal for Numerical and Analytical Methods in Geomechanics\",\"volume\":\"49 3\",\"pages\":\"895-910\"},\"PeriodicalIF\":3.4000,\"publicationDate\":\"2024-12-03\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"International Journal for Numerical and Analytical Methods in Geomechanics\",\"FirstCategoryId\":\"5\",\"ListUrlMain\":\"https://onlinelibrary.wiley.com/doi/10.1002/nag.3906\",\"RegionNum\":2,\"RegionCategory\":\"工程技术\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q2\",\"JCRName\":\"ENGINEERING, GEOLOGICAL\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"International Journal for Numerical and Analytical Methods in Geomechanics","FirstCategoryId":"5","ListUrlMain":"https://onlinelibrary.wiley.com/doi/10.1002/nag.3906","RegionNum":2,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"ENGINEERING, GEOLOGICAL","Score":null,"Total":0}
One-Dimensional Fully Coupled Hydro-Mechanical-Chemical Model for Contaminant Transport Under Step-Loading Condition and Its Analytical Solutions
Stepped dumpling of waste is the main operating method used in landfill engineering. For the liners located at the bottom of the landfill, the waste can be considered as a vertical loading due to its heavy weight, causing compressive deformation of the liners and, most importantly, tending to lose the effectiveness of the geomembrane with the differential deformation. However, most experiments or numerical models use transient-loading and ignore the influence of variable step-loading on liner performance. In this study, a one-dimensional fully coupled hydro-mechanical-chemical (HMC) model for contaminant transport under the framework of small strain, taking into account the step-loading effect, is proposed, and its analytical solutions are derived by using the separation of variables. The behavior of contaminant transport in a single-layer clay liner is investigated under variable step-loading conditions. Analytical results show that the step-loading can significantly accelerate the transport of contaminants compared to the transient-loading. Variation of the step-loading rate from 2 to 4 times yields an increase of 6.1 and 15.2 years of the breakthrough time. At a step-loading rate of 50 kPa/year, the breakthrough increases by 13.37 years, and the peak settlement reduces to half that under transient-loading. Ignoring the influence of step-loading on contaminant transport may overestimate the performance of clay liners.
期刊介绍：
The journal welcomes manuscripts that substantially contribute to the understanding of the complex mechanical behaviour of geomaterials (soils, rocks, concrete, ice, snow, and powders), through innovative experimental techniques, and/or through the development of novel numerical or hybrid experimental/numerical modelling concepts in geomechanics. Topics of interest include instabilities and localization, interface and surface phenomena, fracture and failure, multi-physics and other time-dependent phenomena, micromechanics and multi-scale methods, and inverse analysis and stochastic methods. Papers related to energy and environmental issues are particularly welcome. The illustration of the proposed methods and techniques to engineering problems is encouraged. However, manuscripts dealing with applications of existing methods, or proposing incremental improvements to existing methods – in particular marginal extensions of existing analytical solutions or numerical methods – will not be considered for review.
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