Case Studies and Benchmark Examples for the Use of Grading Entropy in Geotechnics
The grading entropy concept can be adapted to the field of geotechnics, to establish criteria for phenomena such as particle packing, particle migration and filtering, through a quantified expression of the order/disorder in the grain size distribution, in terms of two entropy-based parameters. In t...
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MDPI AG
2012-06-01
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Series: | Entropy |
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author | Vijay P. Singh Stephen Fityus Laszlo Nagy Phong Q. Trang Emöke Imre Jànos Lörincz Janos Szendefy |
author_facet | Vijay P. Singh Stephen Fityus Laszlo Nagy Phong Q. Trang Emöke Imre Jànos Lörincz Janos Szendefy |
author_sort | Vijay P. Singh |
collection | DOAJ |
description | The grading entropy concept can be adapted to the field of geotechnics, to establish criteria for phenomena such as particle packing, particle migration and filtering, through a quantified expression of the order/disorder in the grain size distribution, in terms of two entropy-based parameters. In this paper, the grading entropy theory is applied in some geotechnical case studies, which serve as benchmark examples to illustrate its application to the characterisation of piping, softening and dispersive soils, and to filtering problems in the context of a leachate collection system for a landfill site. Further, since unstable cohesive (dispersive) soils are generally improved by lime, the effect of lime addition is also considered, on the basis of some measurements and a further application of the grading entropy concept, which allows evolutions in the entropy of a soil to be considered as its grading is modified. The examples described support the hypothesis that the potential for soil erosion and particle migration can be reliably identified using grading entropy parameters derived from grading curve data, and applied through an established soil structure stability criteria and a filtering rule. It is shown that lime modification is not necessarily helpful in stabilizing against particle migration. |
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spelling | doaj.art-7843b8d7e490467f90c1ba0acf45b9962022-12-22T03:19:27ZengMDPI AGEntropy1099-43002012-06-011461079110210.3390/e14061079Case Studies and Benchmark Examples for the Use of Grading Entropy in GeotechnicsVijay P. SinghStephen FityusLaszlo NagyPhong Q. TrangEmöke ImreJànos LörinczJanos SzendefyThe grading entropy concept can be adapted to the field of geotechnics, to establish criteria for phenomena such as particle packing, particle migration and filtering, through a quantified expression of the order/disorder in the grain size distribution, in terms of two entropy-based parameters. In this paper, the grading entropy theory is applied in some geotechnical case studies, which serve as benchmark examples to illustrate its application to the characterisation of piping, softening and dispersive soils, and to filtering problems in the context of a leachate collection system for a landfill site. Further, since unstable cohesive (dispersive) soils are generally improved by lime, the effect of lime addition is also considered, on the basis of some measurements and a further application of the grading entropy concept, which allows evolutions in the entropy of a soil to be considered as its grading is modified. The examples described support the hypothesis that the potential for soil erosion and particle migration can be reliably identified using grading entropy parameters derived from grading curve data, and applied through an established soil structure stability criteria and a filtering rule. It is shown that lime modification is not necessarily helpful in stabilizing against particle migration.http://www.mdpi.com/1099-4300/14/6/1079grading entropypipingdispersivesuffosionfiltering |
spellingShingle | Vijay P. Singh Stephen Fityus Laszlo Nagy Phong Q. Trang Emöke Imre Jànos Lörincz Janos Szendefy Case Studies and Benchmark Examples for the Use of Grading Entropy in Geotechnics Entropy grading entropy piping dispersive suffosion filtering |
title | Case Studies and Benchmark Examples for the Use of Grading Entropy in Geotechnics |
title_full | Case Studies and Benchmark Examples for the Use of Grading Entropy in Geotechnics |
title_fullStr | Case Studies and Benchmark Examples for the Use of Grading Entropy in Geotechnics |
title_full_unstemmed | Case Studies and Benchmark Examples for the Use of Grading Entropy in Geotechnics |
title_short | Case Studies and Benchmark Examples for the Use of Grading Entropy in Geotechnics |
title_sort | case studies and benchmark examples for the use of grading entropy in geotechnics |
topic | grading entropy piping dispersive suffosion filtering |
url | http://www.mdpi.com/1099-4300/14/6/1079 |
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