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Environmental Earth Sciences

, 75:1371 | Cite as

Analytical solutions for diffusion of organic contaminant through GCL triple-layer composite liner considering degradation in liner

Original Article

Abstract

Analytical solutions are presented for analyzing diffusion of organic contaminant through a triple-layer composite liner consisting of a geomembrane, a geosynthetic clay liner (GCL) and an attenuation liner (AL). The degradation of organic contaminant in the GCL and AL is considered. Steady-state and full analytical solutions are obtained for two scenarios with zero-concentration or zero-mass-flux boundary conditions at the base of the triple-layer composite liner. The validity and accuracy of the solutions are verified by comparing with an existing analytical solution and a numerical method. Results show that the AL yields major effect to the barrier efficiency of triple-layer composite liner. The contaminant half-life in the GCL has little influence on the mass flux and concentration at the base of triple-layer composite liner. The mass flux and concentration at the base of the triple-layer composite liner decrease with the decrease in contaminant half-life in AL. The steady-state times of bottom mass flux and concentration decrease with the decrease in the contaminant half-life in AL. The mass flux at the base of the triple-layer composite liner decreases with the increase in the thickness or sorption capacity of AL. The steady-state time of bottom mass flux decreases with the decrease in the thickness or sorption capacity of AL. The equivalence between GCL triple-layer composite liner and standard CCL composite liner considering degradation of contaminant is investigated based on the steady-state and full solutions. The analytical solutions can be used for preliminary design of landfill composite liners, verification of complicated numerical methods and evaluation of experimental data.

Keywords

Landfills GCL Composite liner Organic contaminants Diffusion Degradation Analytical solution 

List of symbols

C0

Concentration of contaminant in leachate (g/m3)

t

Time dimension (s)

Cm

Concentration of contaminant in GM with respect to the bulk volume (g/m3)

Dm

Diffusion coefficient in GM (m2/s)

Cg

Concentration of contaminant in the liquid phase of GCL (g/m3)

Dg*

Effective diffusion coefficient in GCL (m2/s)

Rdg

Retardation factor of GCL

ρg

Density of GCL (g/cm3)

Kdg

Distribution coefficient of GCL (mL/g)

ng

Porosity of GCL

λg

Degradation rate coefficient in GCL (year−1)

tg1/2

Half-life in GCL (year)

Ca

Concentration of contaminant in the liquid phase of AL (g/m3)

Da*

Effective diffusion coefficient in AL (m2/s)

Rda

Retardation factor of AL

ρa

Density of AL (g/cm3)

kda

Distribution coefficient of AL (mL/g)

na

Porosity of AL

λa

Degradation rate coefficient in AL (year−1)

ta1/2

Half-life in AL (year)

Slm

Partition coefficient between leachate and GM

Smg

Partition coefficient between GM and GCL

Lm

Thickness of GM (m)

Lg

Thickness of GCL (m)

La

Thickness of AL (m)

L

Total thickness of GCL and AL (m)

Cms

Steady-state concentration of contaminant in GM with respect to the bulk volume (g/m3)

Cgs

Steady-state concentration of contaminant in the liquid phase of GCL (g/m3)

Cas

Stady-state concentration of contaminant in the liquid phase of AL (g/m3)

J

Mass flux of triple-layer composite liner (mg/ha/year)

Js

Steady-state mass flux of triple-layer composite liner (mg/ha/year)

tsj

Steady-state time of bottom mass flux

tsc

Steady-state time of bottom concentration

JCs

Steady-state mass flux of CCL composite liner (mg/ha/year)

Smc

Contaminant partition coefficient between the lower surface of GM and CCL

Dc*

Effective diffusion coefficient in CCL (m2/s)

Rdc

Retardation factor of CCL

ρc

Density of CCL (g/cm3)

Kdc

Distribution coefficient of CCL (mL/g)

nc

Porosity of CCL

λc

Degradation rate coefficient in CCL (year−1)

tc1/2

Half-life in CCL (year)

Lc

Thickness of CCL (m)

Notes

Acknowledgments

The authors would like to acknowledge the financial support provided by Key Program of National Natural Science Foundation of China (No. 41530637), General Program of National Natural Science Foundation of China (No. 41372268) and Graduate Student Innovative Project of Jiangsu Province (No. KYLX-0438). The authors also appreciate the efforts of anonymous reviewers who provided constructive suggestions for this paper.

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Copyright information

© Springer-Verlag Berlin Heidelberg 2016

Authors and Affiliations

  1. 1.Research Institute of Geotechnical EngineeringHohai UniversityNanjingChina
  2. 2.Key Laboratory of Ministry of Education for Geomechanics and Embankment EngineeringNanjingChina
  3. 3.College of Civil and Architectural EngineeringHubei University of TechnologyWuhanChina

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