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Entropy 2012, 14(6), 1079-1102; doi:10.3390/e14061079

Case Studies and Benchmark Examples for the Use of Grading Entropy in Geotechnics

1 Ybl Miklós Faculty of Architecture and Civil Engineering, Szent Istvan University, Thokoly 74, Budapest, 1146, Hungary 2 Geotechnical Department, Budapest University of Technology and Economics, Bp 1111 Muegyetem rkp 3, Budapest 1111, Hungary 3 Deptartment of Biological and Agricultural Engineering, Texas A&M University, College Station, TX 77843, USA 4 Department of Civil and Environmental Engineering, Texas A&M University, College Station, TX 77843, USA 5 School of Engineering, the University of Newcastle, Callaghan 2308, Australia
* Author to whom correspondence should be addressed.
Received: 15 March 2012 / Revised: 27 May 2012 / Accepted: 31 May 2012 / Published: 18 June 2012
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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.
Keywords: grading entropy; piping; dispersive; suffosion; filtering grading entropy; piping; dispersive; suffosion; filtering
This is an open access article distributed under the Creative Commons Attribution License (CC BY) which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

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Imre, E.; Lörincz, J.; Szendefy, J.; Trang, P.Q.; Nagy, L.; Singh, V.P.; Fityus, S. Case Studies and Benchmark Examples for the Use of Grading Entropy in Geotechnics. Entropy 2012, 14, 1079-1102.

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