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Case Studies and Benchmark Examples for the Use of Grading Entropy in Geotechnics
Ybl Miklós Faculty of Architecture and Civil Engineering, Szent Istvan University, Thokoly 74, Budapest, 1146, Hungary
Geotechnical Department, Budapest University of Technology and Economics, Bp 1111 Muegyetem rkp 3, Budapest 1111, Hungary
Deptartment of Biological and Agricultural Engineering, Texas A&M University, College Station, TX 77843, USA
Department of Civil and Environmental Engineering, Texas A&M University, College Station, TX 77843, USA
School of Engineering, the University of Newcastle, Callaghan 2308, Australia
* Author to whom correspondence should be addressed.
Received: 15 March 2012; in revised form: 27 May 2012 / Accepted: 31 May 2012 / Published: 18 June 2012
Abstract: 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
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Cite This Article
MDPI and ACS Style
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.
Imre E, Lörincz J, Szendefy J, Trang PQ, Nagy L, Singh VP, Fityus S. Case Studies and Benchmark Examples for the Use of Grading Entropy in Geotechnics. Entropy. 2012; 14(6):1079-1102.
Imre, Emöke; Lörincz, Jànos; Szendefy, Janos; Trang, Phong Q.; Nagy, Laszlo; Singh, Vijay P.; Fityus, Stephen. 2012. "Case Studies and Benchmark Examples for the Use of Grading Entropy in Geotechnics." Entropy 14, no. 6: 1079-1102.