Mathematical models of compaction, consolidation and regional groundwater flow
A 3-D theory of groundwater flow and consolidation that allows for compressibility of the soil or sediment matrix is that due to <cross-ref type="bib" refid="bib5">Biot (1941</cross-ref>). However, this theory is inapplicable to virgin consolidation tests, where the d...
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fthighwire:oai:open-archive.highwire.org:gji:136/1/251 2023-05-15T16:40:54+02:00 Mathematical models of compaction, consolidation and regional groundwater flow Fowler, A. C. Noon, C. G. 1999-01-01 00:00:00.0 text/html http://gji.oxfordjournals.org/cgi/content/short/136/1/251 https://doi.org/10.1046/j.1365-246X.1999.00717.x en eng Oxford University Press http://gji.oxfordjournals.org/cgi/content/short/136/1/251 http://dx.doi.org/10.1046/j.1365-246X.1999.00717.x Copyright (C) 1999, Oxford University Press Articles TEXT 1999 fthighwire https://doi.org/10.1046/j.1365-246X.1999.00717.x 2015-02-28T22:01:23Z A 3-D theory of groundwater flow and consolidation that allows for compressibility of the soil or sediment matrix is that due to <cross-ref type="bib" refid="bib5">Biot (1941</cross-ref>). However, this theory is inapplicable to virgin consolidation tests, where the deformation of the soil along the critical state surface is accomplished by elastic–plastic flow. In fact, Biot's model cannot even be applied to overconsolidated soils where the deformation is elastic, as it does not conserve the mass of the solid. In this paper, we provide a modified version of the model, and show how it can be extended to allow for elastic–plastic deformation and large-amplitude deformations in elastic–plastic compaction. A particular example of the potential application of this theory is to the groundwater flow induced by the compaction of sediments by an overriding ice sheet, and we show how the commonly used Dupuit approximation can be employed to simplify the theory. Text Ice Sheet HighWire Press (Stanford University) Geophysical Journal International 136 1 251 260 |
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Articles Fowler, A. C. Noon, C. G. Mathematical models of compaction, consolidation and regional groundwater flow |
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A 3-D theory of groundwater flow and consolidation that allows for compressibility of the soil or sediment matrix is that due to <cross-ref type="bib" refid="bib5">Biot (1941</cross-ref>). However, this theory is inapplicable to virgin consolidation tests, where the deformation of the soil along the critical state surface is accomplished by elastic–plastic flow. In fact, Biot's model cannot even be applied to overconsolidated soils where the deformation is elastic, as it does not conserve the mass of the solid. In this paper, we provide a modified version of the model, and show how it can be extended to allow for elastic–plastic deformation and large-amplitude deformations in elastic–plastic compaction. A particular example of the potential application of this theory is to the groundwater flow induced by the compaction of sediments by an overriding ice sheet, and we show how the commonly used Dupuit approximation can be employed to simplify the theory. |
format |
Text |
author |
Fowler, A. C. Noon, C. G. |
author_facet |
Fowler, A. C. Noon, C. G. |
author_sort |
Fowler, A. C. |
title |
Mathematical models of compaction, consolidation and regional groundwater flow |
title_short |
Mathematical models of compaction, consolidation and regional groundwater flow |
title_full |
Mathematical models of compaction, consolidation and regional groundwater flow |
title_fullStr |
Mathematical models of compaction, consolidation and regional groundwater flow |
title_full_unstemmed |
Mathematical models of compaction, consolidation and regional groundwater flow |
title_sort |
mathematical models of compaction, consolidation and regional groundwater flow |
publisher |
Oxford University Press |
publishDate |
1999 |
url |
http://gji.oxfordjournals.org/cgi/content/short/136/1/251 https://doi.org/10.1046/j.1365-246X.1999.00717.x |
genre |
Ice Sheet |
genre_facet |
Ice Sheet |
op_relation |
http://gji.oxfordjournals.org/cgi/content/short/136/1/251 http://dx.doi.org/10.1046/j.1365-246X.1999.00717.x |
op_rights |
Copyright (C) 1999, Oxford University Press |
op_doi |
https://doi.org/10.1046/j.1365-246X.1999.00717.x |
container_title |
Geophysical Journal International |
container_volume |
136 |
container_issue |
1 |
container_start_page |
251 |
op_container_end_page |
260 |
_version_ |
1766031332916330496 |