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Entropy 2016, 18(8), 293; doi:10.3390/e18080293

Characterization of Seepage Velocity beneath a Complex Rock Mass Dam Based on Entropy Theory

Department of Water Environment, China Institute of Water Resources and Hydropower Research, Beijing 100038, China
College of Water Conservancy and Hydropower Engineering, Hohai University, Nanjing 210098, China
Key Laboratory of Ministry of Education for Geomechanics and Embankment Engineering, Hohai University, Nanjing 210098, China
Geotechnical Research Institute of Hohai University, Nanjing 210098, China
Author to whom correspondence should be addressed.
Academic Editor: Raúl Alcaraz Martínez
Received: 24 May 2016 / Revised: 29 July 2016 / Accepted: 8 August 2016 / Published: 11 August 2016
(This article belongs to the Special Issue Applications of Information Theory in the Geosciences)
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Owing to the randomness in the fracture flow system, the seepage system beneath a complex rock mass dam is inherently complex and highly uncertain, an investigation of the dam leakage by estimating the spatial distribution of the seepage field by conventional methods is quite difficult. In this paper, the entropy theory, as a relation between the definiteness and probability, is used to probabilistically analyze the characteristics of the seepage system in a complex rock mass dam. Based on the principle of maximum entropy, an equation for the vertical distribution of the seepage velocity in a dam borehole is derived. The achieved distribution is tested and compared with actual field data, and the results show good agreement. According to the entropy of flow velocity in boreholes, the rupture degree of a dam bedrock has been successfully estimated. Moreover, a new sampling scheme is presented. The sampling frequency has a negative correlation with the distance to the site of the minimum velocity, which is preferable to the traditional one. This paper demonstrates the significant advantage of applying the entropy theory for seepage velocity analysis in a complex rock mass dam. View Full-Text
Keywords: entropy theory; uncertainty and randomness; seepage velocity; fracture flow; complex rock mass dam entropy theory; uncertainty and randomness; seepage velocity; fracture flow; complex rock mass dam

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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Chen, X.; Chen, J.; Wang, T.; Zhou, H.; Liu, L. Characterization of Seepage Velocity beneath a Complex Rock Mass Dam Based on Entropy Theory. Entropy 2016, 18, 293.

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