Analytical Solution for One-Dimensional Diffusion of Organic Pollutants in a Geomembrane–Bentonite Composite Barrier and Parametric Analyses

Zhan, Liangtong; Zeng, Xing; Li, Yuchao; Chen, Yunmin

doi:10.1061/(asce)ee.1943-7870.0000784

Cited by 19 publications

(9 citation statements)

References 16 publications

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“…44 The transport parameters of TOL for the cutoff wall and aquifer are listed in Table 1. 45,6,46,31 The breakthrough time, t b , is the time required for the targeted contaminant to reach its allowable value, that is, 1 mg/L for TOL based on United States drinking water regulations. 47 Hence, the breakthrough time is regarded as the time when the relative concentration reaches 0.1 at the interface of the cutoff wall and aquifer in this study.…”

Section: Resultsmentioning

confidence: 99%

“…2 ( = 1, , ) = 0 (31) where ( , , ) are the Laplace transforms of ( , , ); and s is the Laplace transform parameter. Applying the finite Fourier cosine transform on Equations.…”

Section: Analytical Solutionsmentioning

confidence: 99%

“…Applying the finite Fourier cosine transform on Equations. (24)- (31) gives the following governing equations:…”

Section: Analytical Solutionsmentioning

confidence: 99%

“…[21][22][23] Analytical solutions for contaminants migration in porous media [24][25][26][27][28][29][30][31] have been presented in the literatures which consider the molecular diffusion, dispersion, advection, degradation, and adsorption of chemical. For example, Zhan et al 31 presented an analytical solution for one-dimensional (1D) diffusion of an organic solute through composite barrier. Li et al 26 developed a simplified analytical solution for solute transport through the cutoff in which the existence of aquifer is neglected.…”

Section: Introductionmentioning

confidence: 99%

See 3 more Smart Citations

A two‐dimensional analytical model for organic contaminant transport in cutoff wall and aquifer system

Yan

Xie

Wang

et al. 2020

Num Anal Meth Geomechanics

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Cutoff walls are widely used as in-situ geoenvironmental barriers to isolate the contaminants caused by landfill leakage, chemical storage tank accidents, and mining activities. A two-dimensional analytical solution is developed to investigate the behavior of organic chemical transport in cutoff wall and aquifer. The method of Laplace transforms and finite Fourier cosine transform is adopted to derive the solution for a finite domain. The proposed analytical solutions are verified by the numerical approach. The effects of contaminant source distribution, aquifer scale, direction of flow rate, degradation, adsorption, and thickness of cutoff wall were investigated. The investigation of non-uniformly distribution of contamination sources indicates that the 1-D models lead to a more conservative result compared to the 2-D models. Biodegradation will be a dominant process and significantly enhance the performances of the barrier system when the half-life of contaminant is less than 4 years. Furthermore, the effect of dimension on breakthrough time can be augmented with the increase of distribution coefficient.

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Section: Resultsmentioning

confidence: 99%

“…2 ( = 1, , ) = 0 (31) where ( , , ) are the Laplace transforms of ( , , ); and s is the Laplace transform parameter. Applying the finite Fourier cosine transform on Equations.…”

Section: Analytical Solutionsmentioning

confidence: 99%

“…Applying the finite Fourier cosine transform on Equations. (24)- (31) gives the following governing equations:…”

Section: Analytical Solutionsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

A two‐dimensional analytical model for organic contaminant transport in cutoff wall and aquifer system

Yan

Xie

Wang

et al. 2020

Num Anal Meth Geomechanics

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“…Advances in Civil Engineering can be considered to reduce the seepage velocity in the clay barrier [39].…”

Section: Advances In Civil Engineeringmentioning

confidence: 99%

The Breakthrough Time Analyses of Lead Ions in CCL considering Different Adsorption Isotherms

Zeng

Liu

2020

Advances in Civil Engineering

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As the 2 m thick compacted clay liner with permeability coefficient of 1 × 10−7 cm/s is required in the Chinese technical specifications about landfill, the performance of this compacted clay liner was analyzed considering three different adsorption isotherms (convex, straight, and concave). The effects of source concentration, adsorption mode, and waterhead on the breakthrough curve and breakthrough time of Pb2+ were discussed. The results indicate that reducing the concentration of pollution sources is beneficial to prolonging the breakthrough time. With the waterhead of 10 m, the absolute breakthrough time, respectively, increased from 2.77 to 3.7 years (concave type isotherm), from 17.63 to 26.58 years (straight type isotherm), and from 35.43 to 59.6 years (convex type isotherm), as the source concentration decreased from 1000 mg/L to 10 mg/L. The effect of adsorption isotherm type on the performance of the barrier is very obvious: with the waterhead of 10 m, the absolute breakthrough time corresponding to the convex isotherm is more than twice that of the straight adsorption isotherm, and more than 12.8 times that of the concave isotherm. The absolute breakthrough time corresponding to 0.3 m waterhead is more than 4 times that of 10 m, and reducing the waterhead can effectively increase the breakthrough time.

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A two-dimensional analytical solution for organic contaminant diffusion through a composite geomembrane cut-off wall and an aquifer

Peng

Feng

Zheng

et al. 2020

Computers and Geotechnics

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Analytical Solution for One-Dimensional Diffusion of Organic Pollutants in a Geomembrane–Bentonite Composite Barrier and Parametric Analyses

Cited by 19 publications

References 16 publications

A two‐dimensional analytical model for organic contaminant transport in cutoff wall and aquifer system

A two‐dimensional analytical model for organic contaminant transport in cutoff wall and aquifer system

The Breakthrough Time Analyses of Lead Ions in CCL considering Different Adsorption Isotherms

A two-dimensional analytical solution for organic contaminant diffusion through a composite geomembrane cut-off wall and an aquifer

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