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An analytical model for diffusion of chemicals under thermal effects in semi-infinite porous media

Haijian Xie, Chunhua Zhang, Majid Sedighi, Hywel Thomas Orcid Logo, Yunmin Chen

Computers and Geotechnics, Volume: 69, Pages: 329 - 337

Swansea University Author: Hywel Thomas Orcid Logo

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DOI (Published version): 10.1016/j.compgeo.2015.06.012

Abstract

An analytical solution for one-dimensional diffusion of chemicals under coupled chemical and thermal potentials is presented. The theoretical formulation considered includes heat conduction and chemical diffusion due to both molecular and thermal diffusion potentials. Laplace transformation techniqu...

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Published in: Computers and Geotechnics
ISSN: 0266-352X
Published: Elsevier BV 2015
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URI: https://cronfa.swan.ac.uk/Record/cronfa52877
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spelling 2019-11-26T10:34:21.3638486 v2 52877 2019-11-26 An analytical model for diffusion of chemicals under thermal effects in semi-infinite porous media 08ebc76b093f3e17fed29281f5cb637e 0000-0002-3951-0409 Hywel Thomas Hywel Thomas true false 2019-11-26 CIVL An analytical solution for one-dimensional diffusion of chemicals under coupled chemical and thermal potentials is presented. The theoretical formulation considered includes heat conduction and chemical diffusion due to both molecular and thermal diffusion potentials. Laplace transformation technique has been used to derive the analytical solution to the problem in a semi-infinite domain. The results obtained by the proposed analytical solution have a good agreement with those obtained from the laboratory tests of thermal diffusion of a salt solution in a compact clay. Comparisons with the numerical model were also carried out to investigate the effects of transient heat conduction and temperature-dependency of diffusion coefficient on the chemical transport due to a thermal gradient. An application of the model to study the effects of thermal diffusion on chemical transport in a compacted clay liner (CCL) is presented. The results show that the base concentration and flux of the chemical in the CCL increases with the increase of the temperature and Soret coefficient. The 40-year bottom fluxes for the case with thermal diffusion are 2–11 times greater than the case with only molecular diffusion for a 0.6 m compacted clay liner. Based on the results achieved, thermal diffusion demonstrates considerable effect in the landfill design. In the simulation scenario with ST = 5 × 10−2 1/K, the base concentration and the flux of the chemical at 100 years is 1.5 times and 8 times larger, respectively than those obtained from the simulation without considering thermal diffusion. Using the analytical model presented, a series of dimensionless design charts are presented that can be used to estimate the thickness of the CCL, under non-isothermal conditions. The proposed analytical solution provides a simple method for the verification of alternative numerical models, evaluation of groundwater/soil remediation methods and preliminary design of landfill clay liners. Journal Article Computers and Geotechnics 69 329 337 Elsevier BV 0266-352X Thermal diffusion, Chemical transport, Heat conduction, Compacted clay liner, Analytical model, Landfill 1 9 2015 2015-09-01 10.1016/j.compgeo.2015.06.012 http://dx.doi.org/10.1016/j.compgeo.2015.06.012 COLLEGE NANME Civil Engineering COLLEGE CODE CIVL Swansea University 2019-11-26T10:34:21.3638486 2019-11-26T10:34:21.3638486 Haijian Xie 1 Chunhua Zhang 2 Majid Sedighi 3 Hywel Thomas 0000-0002-3951-0409 4 Yunmin Chen 5
title An analytical model for diffusion of chemicals under thermal effects in semi-infinite porous media
spellingShingle An analytical model for diffusion of chemicals under thermal effects in semi-infinite porous media
Hywel Thomas
title_short An analytical model for diffusion of chemicals under thermal effects in semi-infinite porous media
title_full An analytical model for diffusion of chemicals under thermal effects in semi-infinite porous media
title_fullStr An analytical model for diffusion of chemicals under thermal effects in semi-infinite porous media
title_full_unstemmed An analytical model for diffusion of chemicals under thermal effects in semi-infinite porous media
title_sort An analytical model for diffusion of chemicals under thermal effects in semi-infinite porous media
author_id_str_mv 08ebc76b093f3e17fed29281f5cb637e
author_id_fullname_str_mv 08ebc76b093f3e17fed29281f5cb637e_***_Hywel Thomas
author Hywel Thomas
author2 Haijian Xie
Chunhua Zhang
Majid Sedighi
Hywel Thomas
Yunmin Chen
format Journal article
container_title Computers and Geotechnics
container_volume 69
container_start_page 329
publishDate 2015
institution Swansea University
issn 0266-352X
doi_str_mv 10.1016/j.compgeo.2015.06.012
publisher Elsevier BV
url http://dx.doi.org/10.1016/j.compgeo.2015.06.012
document_store_str 0
active_str 0
description An analytical solution for one-dimensional diffusion of chemicals under coupled chemical and thermal potentials is presented. The theoretical formulation considered includes heat conduction and chemical diffusion due to both molecular and thermal diffusion potentials. Laplace transformation technique has been used to derive the analytical solution to the problem in a semi-infinite domain. The results obtained by the proposed analytical solution have a good agreement with those obtained from the laboratory tests of thermal diffusion of a salt solution in a compact clay. Comparisons with the numerical model were also carried out to investigate the effects of transient heat conduction and temperature-dependency of diffusion coefficient on the chemical transport due to a thermal gradient. An application of the model to study the effects of thermal diffusion on chemical transport in a compacted clay liner (CCL) is presented. The results show that the base concentration and flux of the chemical in the CCL increases with the increase of the temperature and Soret coefficient. The 40-year bottom fluxes for the case with thermal diffusion are 2–11 times greater than the case with only molecular diffusion for a 0.6 m compacted clay liner. Based on the results achieved, thermal diffusion demonstrates considerable effect in the landfill design. In the simulation scenario with ST = 5 × 10−2 1/K, the base concentration and the flux of the chemical at 100 years is 1.5 times and 8 times larger, respectively than those obtained from the simulation without considering thermal diffusion. Using the analytical model presented, a series of dimensionless design charts are presented that can be used to estimate the thickness of the CCL, under non-isothermal conditions. The proposed analytical solution provides a simple method for the verification of alternative numerical models, evaluation of groundwater/soil remediation methods and preliminary design of landfill clay liners.
published_date 2015-09-01T04:05:31Z
_version_ 1763753413620793344
score 11.037056

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