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Mathematical Problems in Engineering
Volume 2017, Article ID 7317394, 9 pages
Research Article

Stability Analysis of Water-Resistant Strata in Karst Tunnel Based on Releasable Elastic Strain Energy

1School of Civil Engineering, Chang’an University, Xi’an 710064, China
2School of Highway, Chang’an University, Xi’an 710064, China
3School of Civil Engineering, Henan Polytechnic University, Jiaozuo 454000, China

Correspondence should be addressed to Qin Liu; moc.qq@ualnihc and Jianxun Chen; moc.361@9691xjnehc

Received 2 November 2016; Accepted 22 January 2017; Published 2 March 2017

Academic Editor: Sergii V. Kavun

Copyright © 2017 Qin Liu et al. 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.


In this paper, the energy instability criterion of water-resistant strata and rock mass failure index (RMFI) are proposed, respectively, based on releasable elastic strain energy . RMFI is employed to represent the damage extent of water-resistant strata. When , rock mass is stable. When , rock mass is in the critical instability state. When , rock mass is unstable. The releasable elastic strain energy and RMFI program is performed by FISH programming language of software. Then, the authors apply software to analyze the distribution law of releasable elastic strain energy and failure zone under different width of concealed karst cave. Finally, combined with the numerical analysis, a case study is carried out to illustrate the rationality, effectiveness, and feasibility through using RMFI to predict safe thickness of water-resistant strata.