Estimating vertical and lateral pressures in periodically structured montmorillonite clay particles
Autor(a) principal: | |
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Data de Publicação: | 2010 |
Outros Autores: | , |
Tipo de documento: | Artigo |
Idioma: | eng |
Título da fonte: | Anais da Academia Brasileira de Ciências (Online) |
Texto Completo: | http://old.scielo.br/scielo.php?script=sci_arttext&pid=S0001-37652010000100003 |
Resumo: | Given a montmorillonitic clay soil at high porosity and saturated by monovalent counterions, we investigate the particle level responses of the clay to different external loadings. As analytical solutions are not possible for complex arrangements of particles, we employ computational micromechanical models (based on the solution of the Poisson-Nernst-Planck equations) using the finite element method, to estimate counterion and electrical potential distributions for particles at various angles and distances from one another. We then calculate the disjoining pressures using the Van't Hoff relation and Maxwell stress tensor. As the distance between the clay particles decreases and double-layers overlap, the concentration of counterions in the micropores among clay particles increases. This increase lowers the chemical potential of the pore fluid and creates a chemical potential gradient in the solvent that generates the socalled 'disjoining' or 'osmotic' pressure. Because of this disjoining pressure, particles do not need to contact one another in order to carry an 'effective stress'. This work may lead towards theoretical predictions of the macroscopic load deformation response of montmorillonitic soils based on micromechanical modelling of particles. |
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Estimating vertical and lateral pressures in periodically structured montmorillonite clay particlesclayMaxwell tensorPoisson-Nernst-Planck equationpore-scaleswellingvan't Hoff lawGiven a montmorillonitic clay soil at high porosity and saturated by monovalent counterions, we investigate the particle level responses of the clay to different external loadings. As analytical solutions are not possible for complex arrangements of particles, we employ computational micromechanical models (based on the solution of the Poisson-Nernst-Planck equations) using the finite element method, to estimate counterion and electrical potential distributions for particles at various angles and distances from one another. We then calculate the disjoining pressures using the Van't Hoff relation and Maxwell stress tensor. As the distance between the clay particles decreases and double-layers overlap, the concentration of counterions in the micropores among clay particles increases. This increase lowers the chemical potential of the pore fluid and creates a chemical potential gradient in the solvent that generates the socalled 'disjoining' or 'osmotic' pressure. Because of this disjoining pressure, particles do not need to contact one another in order to carry an 'effective stress'. This work may lead towards theoretical predictions of the macroscopic load deformation response of montmorillonitic soils based on micromechanical modelling of particles.Academia Brasileira de Ciências2010-03-01info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersiontext/htmlhttp://old.scielo.br/scielo.php?script=sci_arttext&pid=S0001-37652010000100003Anais da Academia Brasileira de Ciências v.82 n.1 2010reponame:Anais da Academia Brasileira de Ciências (Online)instname:Academia Brasileira de Ciências (ABC)instacron:ABC10.1590/S0001-37652010000100003info:eu-repo/semantics/openAccessNarsilio,Guillermo A.Smith,David W.Pivonka,Petereng2010-02-25T00:00:00Zoai:scielo:S0001-37652010000100003Revistahttp://www.scielo.br/aabchttps://old.scielo.br/oai/scielo-oai.php||aabc@abc.org.br1678-26900001-3765opendoar:2010-02-25T00:00Anais da Academia Brasileira de Ciências (Online) - Academia Brasileira de Ciências (ABC)false |
dc.title.none.fl_str_mv |
Estimating vertical and lateral pressures in periodically structured montmorillonite clay particles |
title |
Estimating vertical and lateral pressures in periodically structured montmorillonite clay particles |
spellingShingle |
Estimating vertical and lateral pressures in periodically structured montmorillonite clay particles Narsilio,Guillermo A. clay Maxwell tensor Poisson-Nernst-Planck equation pore-scale swelling van't Hoff law |
title_short |
Estimating vertical and lateral pressures in periodically structured montmorillonite clay particles |
title_full |
Estimating vertical and lateral pressures in periodically structured montmorillonite clay particles |
title_fullStr |
Estimating vertical and lateral pressures in periodically structured montmorillonite clay particles |
title_full_unstemmed |
Estimating vertical and lateral pressures in periodically structured montmorillonite clay particles |
title_sort |
Estimating vertical and lateral pressures in periodically structured montmorillonite clay particles |
author |
Narsilio,Guillermo A. |
author_facet |
Narsilio,Guillermo A. Smith,David W. Pivonka,Peter |
author_role |
author |
author2 |
Smith,David W. Pivonka,Peter |
author2_role |
author author |
dc.contributor.author.fl_str_mv |
Narsilio,Guillermo A. Smith,David W. Pivonka,Peter |
dc.subject.por.fl_str_mv |
clay Maxwell tensor Poisson-Nernst-Planck equation pore-scale swelling van't Hoff law |
topic |
clay Maxwell tensor Poisson-Nernst-Planck equation pore-scale swelling van't Hoff law |
description |
Given a montmorillonitic clay soil at high porosity and saturated by monovalent counterions, we investigate the particle level responses of the clay to different external loadings. As analytical solutions are not possible for complex arrangements of particles, we employ computational micromechanical models (based on the solution of the Poisson-Nernst-Planck equations) using the finite element method, to estimate counterion and electrical potential distributions for particles at various angles and distances from one another. We then calculate the disjoining pressures using the Van't Hoff relation and Maxwell stress tensor. As the distance between the clay particles decreases and double-layers overlap, the concentration of counterions in the micropores among clay particles increases. This increase lowers the chemical potential of the pore fluid and creates a chemical potential gradient in the solvent that generates the socalled 'disjoining' or 'osmotic' pressure. Because of this disjoining pressure, particles do not need to contact one another in order to carry an 'effective stress'. This work may lead towards theoretical predictions of the macroscopic load deformation response of montmorillonitic soils based on micromechanical modelling of particles. |
publishDate |
2010 |
dc.date.none.fl_str_mv |
2010-03-01 |
dc.type.driver.fl_str_mv |
info:eu-repo/semantics/article |
dc.type.status.fl_str_mv |
info:eu-repo/semantics/publishedVersion |
format |
article |
status_str |
publishedVersion |
dc.identifier.uri.fl_str_mv |
http://old.scielo.br/scielo.php?script=sci_arttext&pid=S0001-37652010000100003 |
url |
http://old.scielo.br/scielo.php?script=sci_arttext&pid=S0001-37652010000100003 |
dc.language.iso.fl_str_mv |
eng |
language |
eng |
dc.relation.none.fl_str_mv |
10.1590/S0001-37652010000100003 |
dc.rights.driver.fl_str_mv |
info:eu-repo/semantics/openAccess |
eu_rights_str_mv |
openAccess |
dc.format.none.fl_str_mv |
text/html |
dc.publisher.none.fl_str_mv |
Academia Brasileira de Ciências |
publisher.none.fl_str_mv |
Academia Brasileira de Ciências |
dc.source.none.fl_str_mv |
Anais da Academia Brasileira de Ciências v.82 n.1 2010 reponame:Anais da Academia Brasileira de Ciências (Online) instname:Academia Brasileira de Ciências (ABC) instacron:ABC |
instname_str |
Academia Brasileira de Ciências (ABC) |
instacron_str |
ABC |
institution |
ABC |
reponame_str |
Anais da Academia Brasileira de Ciências (Online) |
collection |
Anais da Academia Brasileira de Ciências (Online) |
repository.name.fl_str_mv |
Anais da Academia Brasileira de Ciências (Online) - Academia Brasileira de Ciências (ABC) |
repository.mail.fl_str_mv |
||aabc@abc.org.br |
_version_ |
1754302857566224384 |