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...

Full description

Bibliographic Details
Main Authors: Vijay P. Singh, Stephen Fityus, Laszlo Nagy, Phong Q. Trang, Emöke Imre, Jànos Lörincz, Janos Szendefy
Format: Article
Language:English
Published: MDPI AG 2012-06-01
Series:Entropy
Subjects:
Online Access:http://www.mdpi.com/1099-4300/14/6/1079
_version_ 1811262486490382336
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.
first_indexed 2024-04-12T19:27:31Z
format Article
id doaj.art-7843b8d7e490467f90c1ba0acf45b996
institution Directory Open Access Journal
issn 1099-4300
language English
last_indexed 2024-04-12T19:27:31Z
publishDate 2012-06-01
publisher MDPI AG
record_format Article
series Entropy
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
work_keys_str_mv AT vijaypsingh casestudiesandbenchmarkexamplesfortheuseofgradingentropyingeotechnics
AT stephenfityus casestudiesandbenchmarkexamplesfortheuseofgradingentropyingeotechnics
AT laszlonagy casestudiesandbenchmarkexamplesfortheuseofgradingentropyingeotechnics
AT phongqtrang casestudiesandbenchmarkexamplesfortheuseofgradingentropyingeotechnics
AT emokeimre casestudiesandbenchmarkexamplesfortheuseofgradingentropyingeotechnics
AT janoslorincz casestudiesandbenchmarkexamplesfortheuseofgradingentropyingeotechnics
AT janosszendefy casestudiesandbenchmarkexamplesfortheuseofgradingentropyingeotechnics