Analytical solutions for organic contaminant diffusion in triple-layer composite liner system considering the effect of degradation

Pu, Hefu; Zhang, Rongjun; Zheng, Junjie

doi:10.1007/s11440-019-00783-0

Cited by 30 publications

(11 citation statements)

References 48 publications

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“…However, it is worth noting that the above formulae can only be applied to a flat GM. When the GM is exposed to solar radiation during installation, it bends upward to form wrinkles [ 23 , 24 , 25 , 26 , 27 , 28 ]. Because of the large number of wrinkles on GM (the coverage rate of wrinkles can reach 30% or even higher) and most of them being hydraulically connected, the defects most likely combine with them [ 29 , 30 , 31 , 32 , 33 , 34 ].…”

Section: Convection Of Pollutants Through Gm/gcl/almentioning

confidence: 99%

Review of the Anti-Pollution Performance of Triple-Layer GM/GCL/AL Composite Liners

Huang

Zhang

et al. 2022

Membranes

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Landfill leachates contain several types of pollutants and complex components, which pollute soils and groundwater. To compensate for the limitations of single-layer and double-layer liners, a triple-layer liner system composed of a geomembrane (GM), geosynthetic clay liner (GCL), and attenuation layer (AL) was invented and widely used in landfill anti-pollution systems. In this paper, the available literature on triple-layer GM/GCL/AL composite liners is summarized. First, the four main transport processes of pollutants through the composite liner, including convection, diffusion, adsorption, and degradation, were analyzed, and the anti-pollution performances were evaluated. According to this, the pollutant transport model considering the transport activity and transport state was classified, and the solution methods were summarized. Finally, the breakthrough time expressions of the composite liners were determined, which provided a base for evaluating their long-term performance and predicting the service life. The purpose of this literature review is to scientifically evaluate the anti-pollution performance of GM/GCL/AL and provide a scientific base and theoretical guidance for extending its application.

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Section: Convection Of Pollutants Through Gm/gcl/almentioning

confidence: 99%

Review of the Anti-Pollution Performance of Triple-Layer GM/GCL/AL Composite Liners

Huang

Zhang

et al. 2022

Membranes

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“…(1) and dividing both sides of the equations by ϕ i (z)θ i (t) at the same time results in (9) Introducing the constant λ, Eq. ( 9) can be split into two separate ordinary differential equations as (10) (11) The solutions of Eq. (10) and Eq.…”

Section: General Solution 221 Concentration In Contaminated Soilmentioning

confidence: 99%

“…When S di are equal to the finite value, the boundaries are really the imperfect boundaries. When S d1 is equal to 0 and the value of S d2 represents the diffusion capacity of the boundary between the liner and the contaminated soil layer, the calculation model can be transformed into the corresponding engineering problem in the landfill [11,13]. When S d2 is equal to 0 and the value of S d1 represents the diffusion capacity of the boundary between the capping layer and the contaminated soil layer, the calculation model can be transformed into the engineering problem corresponding to the underwater capping layer [12].…”

Section: Average Degree Of Diffusionmentioning

confidence: 99%

“…In the above cases, molecular diffusion induced by concentration differences is the key factor for the contaminant diffusion to the adjacent soil or cover layer because of its low hydraulic conductivity of the clay (e.g., < 10 -7 cm/s), low leachate head (e.g., < 0.3 m), and small Peclet number [6][7][8][9]. Besides, diffusive transport problem comprehensively exists in the engineering materials, such as compacted clay liner [10,11], underwater cap [12], geosynthetic clay lining [13], and composite liners [14,15]. In order to prevent and slow down the damage of contaminant on the surrounding environment, it is necessary to study the related problems [16][17][18] caused by the diffusion of contaminants.…”

Section: Introductionmentioning

confidence: 99%

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An analytical solution for one-dimensional contaminant transport in a double-layered contaminated soil with imperfect diffusion boundaries

Sheng

Zhang

et al. 2021

Environmental Engineering Research

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An analytical method is proposed to solve the contaminant transport in a double-layered contaminated soil with imperfect diffusion boundaries. By virtue of the separation of variables scheme, the governing equation for contaminant diffusion is split into two ordinary differential equations, and the corresponding general solutions are obtained. By utilizing the initial, continuity and boundary conditions of the system, and the orthogonality of trigonometric functions, the analytical solution for contaminant concentration in the double-layered contaminated soil is derived, which can be further used to describe the average degree of diffusion. The reliability and accuracy of the developed solution is verified by comparing with the existing analytical solution and numerical simulation results. Selected numerical examples are further presented to analyze the influence of the imperfect diffusion boundaries on the spatial/time distribution of contaminant concentration, average degree of diffusion and mass flux. The results show that greater imperfect diffusion capacity coefficients lead to lower contaminant concentration distribution within the entire depth range and higher average degree of diffusion for a given time. Particularly, it only takes 23.32 years to complete the entire diffusion process when imperfect diffusion capacity coefficients are infinite. The developed solution can provide useful guidance for engineering practice.

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“…In recent years, scholars have presented numerous theoretical models for one‐dimensional (1D) transport of organic contaminants in composite liners, including GM/CCL and GM/GCL/CCL composite liners 11–16,46–48 . Xie et al.…”

Section: Introductionmentioning

confidence: 99%

Coupled model for one‐dimensional nonlinear consolidation and organic contaminant transport in a triple‐layer composite liner considering the nonisothermal distribution condition

Jiang

Chen

et al. 2023

Num Anal Meth Geomechanics

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The transport characteristics of organic contaminants are significantly affected by nonlinear consolidation and thermal‐diffusion behaviors. However, there is currently a lack of associated theoretical research on this topic. This study develops a coupled model for one‐dimensional (1D) nonlinear consolidation and organic contaminant transport in GM/GCL/CCL (geomembrane [GM], geosynthetic clay liner [GCL], and compacted clay liner [CCL]) composite liner considering the nonisothermal distribution condition. In particular, the influences of temperature on the parameters are incorporated, and the corresponding finite difference solutions are obtained. Furthermore, the rationality of the proposed theoretical model is effectively verified by conducting comparative analysis under different circumstances. Following this, the transport behaviors are investigated based on the defined breakthrough time tb${t_b}$. Compared with the isothermal distribution state (temperature difference normalΔT0.33em=0.33em00.33emnormalK$\Delta T\ = \ 0\ {\rm{K}}$), the tb${t_b}$ at normalΔT$\Delta T$ equal to 10, 20, 30, and 40 K decreases by 25.4%, 41.3%, 52.2%, and 60.1%, respectively. The effect of thermal‐diffusion on the transport process is notable when the Soret coefficient ST${S_T}$ ranges between 0.01 and 0.050.33emK−1$0.05\ {{\rm{K}}^{ - 1}}$. Moreover, compared with the case of no consolidation (loading rate Qu=0.33em00.33emkPa/year${Q_u} = \ 0\ {\rm{kPa}}/{\rm{year}}$), the tb${t_b}$ at Qu${Q_u}$ equal to 50, 100, 150, and 200kPa/year$200{\rm{\ kPa}}/{\rm{year}}$ increases by 27.1%, 49.9%, 68.1%, and 83.9%, respectively. As the diffusion coefficient Dm,R${D_{m,R}}$ in GM changes from 0.1×10−13$0.1 \times {10^{ - 13}}$ to 1.0×10−130.33emm2/normals$1.0 \times {10^{ - 13}}\ {{\rm{m}}^2}/{\rm{s}}$, Dm,R${D_{m,R}}$ is observed to have a marked effect on the transport behavior.

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Analytical solutions for organic contaminant diffusion in triple-layer composite liner system considering the effect of degradation

Cited by 30 publications

References 48 publications

Review of the Anti-Pollution Performance of Triple-Layer GM/GCL/AL Composite Liners

Review of the Anti-Pollution Performance of Triple-Layer GM/GCL/AL Composite Liners

An analytical solution for one-dimensional contaminant transport in a double-layered contaminated soil with imperfect diffusion boundaries

Coupled model for one‐dimensional nonlinear consolidation and organic contaminant transport in a triple‐layer composite liner considering the nonisothermal distribution condition

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