Analytical solution for one‐dimensional steady‐state VOCs diffusion in simplified capillary cover systems

Huaxiang Yan; Haijian Xie; Hamid Rajabi; Xiting Gu; Yun Chen

doi:10.1002/nag.3557

journal article May 25, 2023

Analytical solution for one‐dimensional steady‐state VOCs diffusion in simplified capillary cover systems

Huaxiang Yan

Haijian Xie

Hamid Rajabi

Xiting Gu Yun Chen

International Journal for Numerical and Analytical Methods in Geomechanics Vol. 47 No. 12 pp. 2304-2321 · Wiley

View at Publisher Save 10.1002/nag.3557

Abstract

AbstractThe analytical solution for a one‐dimensional and steady‐state model is proposed to investigate the diffusion of VOCs within landfill capillary cover systems under unsaturated water flow and stable conditions. Examples of coupled water flow and VOCs diffusion are evaluated by the proposed analytical solution to discuss the effects of the evaporation rate and clay thickness. The proficiency of the unsaturated cover system in minimising VOC emissions was also investigated. It was found that the non‐uniform distribution of water content can cause one order of magnitude reductions in the effective diffusion coefficient of VOCs, resulting in the attenuation of VOCs in the cover system. The concentration profile of VOCs is lower for the case with a larger evaporation rate. Ignoring the non‐uniform distribution of water content induced by water flow would underestimate the surface flux of VOCs by a factor of 1.8. The water content and VOC concentration in the cover system can be effectively diminished with the thickness of the clayey layer increasing. The surface flux of VOCs is considerably decreased with increasing thickness of clayey layer. Increasing the thickness of clayey layer from 0.2 to 1 m leads to a reduction in the surface flux of VOCs by a factor of 2.9. The sensitivity analysis provides further insights into the critical role of water flow in affecting VOC transport through the unsaturated cover system. The outcomes highlight that the impacts of unsaturated water flow within the covering system should be considered for assessment of VOC emissions.

Topics

No keywords indexed for this article. Browse by subject →

References

75

[1]

10.1007/s11440-022-01509-5

[2]

10.1007/s11440-020-01072-x

[3]

10.1007/s11440-021-01202-z

[4]

10.1016/j.scitotenv.2009.04.022

[5]

10.1016/j.scitotenv.2020.138326

[6]

10.1016/j.jhazmat.2009.11.117

[7]

10.1139/cgj-2016-0293

[8]

10.1016/j.compgeo.2018.04.021

[9]

10.1016/j.apgeochem.2014.06.018

[10]

10.1016/j.scitotenv.2020.138654

[11]

10.1139/cgj-2015-0001

[12]

10.2136/vzj2014.12.0180

[13]

10.1016/j.geotexmem.2020.10.018

[14]

10.2136/vzj2003.6920

[15]

Thermally induced diffusion of chemicals under steady-state heat transfer in saturated porous media

Huaxiang Yan, Majid Sedighi, Haijian Xie

International Journal of Heat and Mass Transfer 10.1016/j.ijheatmasstransfer.2020.119664

[16]

10.1016/j.jhydrol.2021.126848

[17]

10.1016/j.jconhyd.2010.12.013

[18]

10.1016/j.jhazmat.2014.10.035

[19]

10.1016/j.scitotenv.2021.150370

[20]

10.1016/j.compgeo.2020.103510

[21]

10.1002/nag.2106

[22]

10.1016/j.wasman.2006.06.008

[23]

10.1016/j.advwatres.2012.11.021

[24]

10.1139/cgj-2013-0277

[25]

10.1002/2016wr020317

[26]

10.2134/jeq2017.01.0011

[27]

10.1016/j.jconhyd.2021.103916

[28]

Gas Diffusion in Porous Media

R. J. Millington

Science 10.1126/science.130.3367.100.b

[29]

10.1097/00010694-199709000-00004

[30]

10.2136/sssaj2000.6451588x

[31]

10.1002/nag.3275

[32]

10.1002/nag.3413

[33]

10.1007/978-3-319-08461-9

[34]

Zhao C (2008)

[35]

10.1016/0045-7825(95)00891-8

[36]

10.1007/978-3-642-00846-7

[37]

10.12989/gae.2015.8.2.237

[38]

Zhao C (2009)

[39]

10.1007/s11242-010-9528-5

[40]

10.1016/j.jhydrol.2013.04.038

[41]

10.1016/j.jhydrol.2016.07.022

[42]

Analytical Model for Multicomponent Landfill Gas Migration through Four-Layer Landfill Biocover with Capillary Barrier

Shi-Jin Feng, Zhang-Wen Zhu, Zhang-Long Chen et al.

International Journal of Geomechanics 10.1061/(asce)gm.1943-5622.0001598

[43]

10.1089/ees.2013.0133

[44]

10.1039/c3em00225j

[45]

10.1016/j.jhazmat.2021.126272

[46]

10.1061/(asce)ee.1943-7870.0001074

[47]

Bear J (1979)

[48]

10.1002/nag.661

[49]

10.1002/nag.1052

[50]

10.1002/nag.2123

Showing 50 of 75 references

Metrics

13

Citations

75

References

Details

Published: May 25, 2023
Vol/Issue: 47(12)
Pages: 2304-2321
License: View

Authors

H

Huaxiang Yan

MOE Key Laboratory of Soft Soils and Geoenvironmental Engineering Zhejiang University Hangzhou China; Center for Balance Architecture Zhejiang University Hanghzou China

H

Haijian Xie

Center for Balance Architecture Zhejiang University Hanghzou China; The Architectural Design and Research Institute of Zhejiang University Co. Ltd. Hangzhou China

H

Hamid Rajabi

Department of Civil Engineering and industrial design School of Engineering University of Liverpool Liverpool UK

X

Xiting Gu

MOE Key Laboratory of Soft Soils and Geoenvironmental Engineering Zhejiang University Hangzhou China; Center for Balance Architecture Zhejiang University Hanghzou China

Y

Yun Chen

Center for Balance Architecture Zhejiang University Hanghzou China; The Architectural Design and Research Institute of Zhejiang University Co. Ltd. Hangzhou China

Funding

National Natural Science Foundation of China Award: 52278375

Cite This Article

Huaxiang Yan, Haijian Xie, Hamid Rajabi, et al. (2023). Analytical solution for one‐dimensional steady‐state VOCs diffusion in simplified capillary cover systems. International Journal for Numerical and Analytical Methods in Geomechanics, 47(12), 2304-2321. https://doi.org/10.1002/nag.3557

Analytical solution for one‐dimensional steady‐state VOCs diffusion in simplified capillary cover systems

You May Also Like