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Analytical Solutions for Axisymmetric Diffusion of Organic Pollutants in a Circular-Shaped Cutoff Wall System SCIE
期刊论文 | 2024 , 49 (1) , 312-328 | INTERNATIONAL JOURNAL FOR NUMERICAL AND ANALYTICAL METHODS IN GEOMECHANICS
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Abstract :

Through the variable substitution and separated variable methods, this study develops a two-dimensional (2-D) axisymmetric diffusion analytical solution for organic pollutants in a circular-shaped cutoff wall (CCW) system for the first time, which can more precisely and reasonably simulate the diffusion behaviors in "circular-shaped" vertical barriers. Then, the proposed analytical solution's reasonableness is verified by comparing it with an existing analytical solution and a corresponding finite-difference solution. Meanwhile, the comparison suggests that this solution will degrade to a 2-D diffusion analytical solution when the pollution source radius is large enough. Furthermore, the presented analytical solution can also be simplified to a one-dimensional axisymmetric diffusion analytical solution, or to the axisymmetric diffusion analytical solutions in a single-layered medium. These exact analytical solutions can not only be applied to study axisymmetric diffusion behaviors under specific scenarios, but also be used to validate other complex numerical models. Last, a case study is conducted to investigate the impacts of pollution source concentration distribution, CCW horizontal thickness, and defined equivalent diffusion coefficient on the barrier performance. Overall, the proposed analytical solutions and obtained diffusion laws in this study can provide guidance for the service effect assessment and the engineering design of cutoff walls.

Keyword :

analytical solution analytical solution axisymmetric diffusion axisymmetric diffusion barrier performance barrier performance circular-shaped circular-shaped cutoff wall system cutoff wall system organic pollutant organic pollutant

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GB/T 7714 Jiang, Wenhao , Ge, Shangqi , Li, Jiangshan . Analytical Solutions for Axisymmetric Diffusion of Organic Pollutants in a Circular-Shaped Cutoff Wall System [J]. | INTERNATIONAL JOURNAL FOR NUMERICAL AND ANALYTICAL METHODS IN GEOMECHANICS , 2024 , 49 (1) : 312-328 .
MLA Jiang, Wenhao 等. "Analytical Solutions for Axisymmetric Diffusion of Organic Pollutants in a Circular-Shaped Cutoff Wall System" . | INTERNATIONAL JOURNAL FOR NUMERICAL AND ANALYTICAL METHODS IN GEOMECHANICS 49 . 1 (2024) : 312-328 .
APA Jiang, Wenhao , Ge, Shangqi , Li, Jiangshan . Analytical Solutions for Axisymmetric Diffusion of Organic Pollutants in a Circular-Shaped Cutoff Wall System . | INTERNATIONAL JOURNAL FOR NUMERICAL AND ANALYTICAL METHODS IN GEOMECHANICS , 2024 , 49 (1) , 312-328 .
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Analytical Solutions for Axisymmetric Diffusion of Organic Pollutants in a Circular-Shaped Cutoff Wall System Scopus
期刊论文 | 2024 , 49 (1) , 312-328 | International Journal for Numerical and Analytical Methods in Geomechanics
Analytical Solutions for Axisymmetric Diffusion of Organic Pollutants in a Circular-Shaped Cutoff Wall System EI
期刊论文 | 2025 , 49 (1) , 312-328 | International Journal for Numerical and Analytical Methods in Geomechanics
Numerical study for one-dimensional non-isothermal transport of organic contaminant in the three-layer composite liner containing a defective geomembrane SCIE
期刊论文 | 2024 , 237 | INTERNATIONAL JOURNAL OF HEAT AND MASS TRANSFER
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Abstract :

The non-isothermal case in bottom composite liners not only induces thermal diffusion behavior, but also alters transport parameters. To date, however, limited work has been done on this topic. The present research constructs a model for one-dimensional non-isothermal transport of organic contaminant in the three-layer composite liner containing a defective geomembrane (GMB), which for the first time systematically includes the impacts of temperature-dependent transport parameters, and also considers the multiple transport mechanisms. The developed model is then solved via finite difference, and its rightness is well-proven through comparisons with the two experiment results and the other calculation approaches. After that, the numerical analysis shows that the temperature-dependent transport parameters exert a combined effect on the transport process, in which changes in diffusion coefficients and hydraulic conductivities with temperature remarkably accelerate the transport rate, whereas such a change for distribution coefficients leads to an opposite trend. The barrier performance assessment suggests that the growth of temperature difference in the composite liner, as well as the GMB defects density, reduces the defined breakthrough time (tb) and increases the bottom transport flux. Moreover, 1 cm geosynthetic clay liner is noticed to extend tb by approximately 2.23 years, while 0.1 m compacted clay liner yields the increment of tb by about 12.1 years. These findings contribute to the reasonable evaluation of bottom composite liners' barrier performance at a non-isothermal environment, which could provide guidance for optimizing their engineering design.

Keyword :

Defective geomembrane Defective geomembrane Non-isothermal transport Non-isothermal transport Numerical study Numerical study Organic contaminant Organic contaminant Temperature-dependent transport parameter Temperature-dependent transport parameter Three-layer composite liner Three-layer composite liner

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GB/T 7714 Jiang, Wenhao , Li, Jiangshan , Ge, Shangqi . Numerical study for one-dimensional non-isothermal transport of organic contaminant in the three-layer composite liner containing a defective geomembrane [J]. | INTERNATIONAL JOURNAL OF HEAT AND MASS TRANSFER , 2024 , 237 .
MLA Jiang, Wenhao 等. "Numerical study for one-dimensional non-isothermal transport of organic contaminant in the three-layer composite liner containing a defective geomembrane" . | INTERNATIONAL JOURNAL OF HEAT AND MASS TRANSFER 237 (2024) .
APA Jiang, Wenhao , Li, Jiangshan , Ge, Shangqi . Numerical study for one-dimensional non-isothermal transport of organic contaminant in the three-layer composite liner containing a defective geomembrane . | INTERNATIONAL JOURNAL OF HEAT AND MASS TRANSFER , 2024 , 237 .
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Numerical study for one-dimensional non-isothermal transport of organic contaminant in the three-layer composite liner containing a defective geomembrane Scopus
期刊论文 | 2025 , 237 | International Journal of Heat and Mass Transfer
Numerical study for one-dimensional non-isothermal transport of organic contaminant in the three-layer composite liner containing a defective geomembrane EI
期刊论文 | 2025 , 237 | International Journal of Heat and Mass Transfer
复合衬垫中一维土体固结与污染物运移全耦合模型研究
期刊论文 | 2024 , 52 (12) , 158-167 | 华中科技大学学报(自然科学版)
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Abstract :

为研究土工膜和压实黏土衬垫组成的复合衬垫中一维土体固结与污染物运移全耦合问题,分别推导得到了土体固结和污染物运移的控制方程,并结合相应的求解条件建立了可考虑土体固结与污染物运移相互影响的耦合模型.通过采用有限差分法,获得了该耦合模型的数值解;将所建耦合模型的计算结果与COMSOL软件的计算结果展开多方面的比较分析,验证了所建耦合模型的正确性.利用所建耦合模型,采用铅离子作为代表性污染物进行模拟分析.结果表明:污染物运移一方面会使得土体固结时的超孔隙水压力消散速率加快,另一方面会使得沉降量减小;土体固结会使得与污染物运移过程相关的参数减小,因而同一时间下污染物的浓度会下降,底部运移通量会降低.

Keyword :

全耦合模型 全耦合模型 土体固结 土体固结 复合衬垫 复合衬垫 模拟分析 模拟分析 污染物运移 污染物运移

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GB/T 7714 江文豪 , 冯晨 , 刘金都 et al. 复合衬垫中一维土体固结与污染物运移全耦合模型研究 [J]. | 华中科技大学学报(自然科学版) , 2024 , 52 (12) : 158-167 .
MLA 江文豪 et al. "复合衬垫中一维土体固结与污染物运移全耦合模型研究" . | 华中科技大学学报(自然科学版) 52 . 12 (2024) : 158-167 .
APA 江文豪 , 冯晨 , 刘金都 , 李江山 . 复合衬垫中一维土体固结与污染物运移全耦合模型研究 . | 华中科技大学学报(自然科学版) , 2024 , 52 (12) , 158-167 .
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