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Entropy 2015, 17(5), 2781-2811; doi:10.3390/e17052781

The Grading Entropy-based Criteria for Structural Stability of Granular Materials and Filters

1
Tengizchevroil, Farnborough, Hampshire GU14 7BF, UK
2
Ybl Miklós Faculty of Architecture and Civil Engineering, Szent István University, Budapest 1146, Hungary
3
School of Engineering, University of Newcastle, Callaghan 2308, Australia
4
Budapest University of Technology and Economics, Budapest 1111, Hungary
5
Department of Biological and Agricultural Engineering, Texas A&M University, 321 Scoates Hall, MS 2117, College Station, TX 77843, USA
6
Zachry Department of Civil Engineering, Texas A&M University, 321 Scoates Hall, MS 2117, College Station, TX 77843, USA
*
Author to whom correspondence should be addressed.
Academic Editor: Kevin H. Knuth
Received: 23 October 2014 / Revised: 27 April 2015 / Accepted: 27 April 2015 / Published: 4 May 2015

Abstract

This paper deals with three grading entropy-based rules that describe different soil structure stability phenomena: an internal stability rule, a filtering rule and a segregation rule. These rules are elaborated on the basis of a large amount of laboratory testing and from existing knowledge in the field. Use is made of the theory of grading entropy to derive parameters which incorporate all of the information of the grading curve into a pair of entropy-based parameters that allow soils with common behaviours to be grouped into domains on an entropy diagram. Applications of the derived entropy-based rules are presented by examining the reason of a dam failure, by testing against the existing filter rules from the literature, and by giving some examples for the design of non-segregating grading curves (discrete particle size distributions by dry weight). A physical basis for the internal stability rule is established, wherein the higher values of base entropy required for granular stability are shown to reflect the closeness between the mean and maximum grain diameters, which explains how there are sufficient coarser grains to achieve a stable grain skeleton. View Full-Text
Keywords: grading entropy; erosion; suffosion; filtering grading entropy; erosion; suffosion; filtering
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. (CC BY 4.0).

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MDPI and ACS Style

Lőrincz, J.; Imre, E.; Fityus, S.; Trang, P.Q.; Tarnai, T.; Talata, I.; Singh, V.P. The Grading Entropy-based Criteria for Structural Stability of Granular Materials and Filters. Entropy 2015, 17, 2781-2811.

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