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

Entropy

Janos Lőrincz⁴  Emöke Imre⁵  Stephen Fityus³  Phong Q. Trang¹  Tibor Tarnai¹  István Talata⁵  Vijay P. Singh² 

[1] Budapest University of Technology and Economics, Budapest 1111, Hungary; E-Mails:;Department of Biological and Agricultural Engineering, Texas A&M University, 321 Scoates Hall, MS 2117, College Station, TX 77843, USA; E-Mail:;School of Engineering, University of Newcastle, Callaghan 2308, Australia; E-Mail:;Tengizchevroil, Farnborough, Hampshire GU14 7BF, UK; E-Mail:;Ybl Miklós Faculty of Architecture and Civil Engineering, Szent István University, Budapest 1146, Hungary; E-Mail:

关键词: grading entropy;    erosion;    suffosion;    filtering;   

DOI  :  10.3390/e17052781

来源: mdpi

【 摘 要 】

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.

【 授权许可】

CC BY   
© 2015 by the authors; licensee MDPI, Basel, Switzerland