Entropy 2015, 17, 2281-2303; doi:10.3390/e17042281 OPEN ACCESS entropy ISSN 1099-4300 www.mdpi.com/journal/entropy Article Some Comments on the Entropy-Based Criteria for Piping Emöke Imre 1,*, Laszlo Nagy 2, Janos Lőrincz 3, Negar Rahemi 4, Tom Schanz 4, Vijay P. Singh 5 and Stephen Fityus 6 1 Ybl Miklós, Faculty of Architecture and Civil Engineering, Szent István University, Thokoly 74, Budapest 1146, Hungary 2 Geotechnical Department, Budapest University of Technology and Economics, Budapest 1111, Hungary; E-Mail:
[email protected] 3 Tengizchevroil, Farnborough, Hampshire GU14 7BF, UK; E-Mail:
[email protected] 4 Department of Geotechnical Engineering, Ruhr-University Bochum, Universitätsstrasse 150, 44780 Bochum, Germany; E-Mails:
[email protected] (N.R.);
[email protected] (T.S.) 5 Department of Biological & Agricultural Engineering, Zachry Department of Civil Engineering, Water Management & Hydrological Science, Texas A&M University, 321 Scoates Hall, MS 2117, College Station, TX 77843, USA; E-Mail:
[email protected] 6 School of Engineering, University of Newcastle, Callaghan 2308, Australia; E-Mail:
[email protected] * Author to whom correspondence should be addressed; E-Mail:
[email protected] or
[email protected]; Tel.: +36-14631447; Fax: +36-14633006. Academic Editor: Kevin H. Knuth Received: 23 October 2014 / Accepted: 9 April 2015 / Published: 15 April 2015 Abstract: This paper is an extension of previous work which characterises soil behaviours using the grading entropy diagram. The present work looks at the piping process in granular soils, by considering some new data from flood-protection dikes. The piping process is divided into three parts here: particle movement at the micro scale to segregate free water; sand boil development (which is the initiation of the pipe), and pipe growth.