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New algorithm of mine slope reliability based on limiting state hyper-plane and its engineering application

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Abstract

Due to the influence of joint fissure, mining intensity, designed slope angle, underground water and rainfall, the failure process of mine slope project is extremely complicated. The current safety factor calculation method has certain limitations, and it would be difficult to obtain the reliability index when the performance function of reliability analysis is implicit or has high order terms. Therefore, with the help of the logistic equation of chaos theory, a new algorithm of mine slope reliability based on limiting state hyper-plane is proposed. It is shown that by using this new reliability algorithm the calculation of partial derivative of performance function is avoided, and it has the advantages of being simple and easy to program. The new algorithm is suitable for calculating the reliability index of complex performance function containing high order terms. Furthermore, the limiting state hyper-plane models of both simplified Bishop’s and Janbu’s method adaptive to slope project are obtained, and have achieved satisfactory effect in the study of mine slope stability in Dexing copper open pit.

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Authors and Affiliations

  1. School of Resources and Safety Engineering, Central South University, Changsha, 410083, China

    Zhi-xiang Liu  (刘志祥), Zhi-xiang Tang  (唐志祥), Wei-hua Wang  (王卫华), Jing-jing Sun  (孙晶晶) & Kang Peng  (彭康)

Authors
  1. Zhi-xiang Liu  (刘志祥)
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  2. Zhi-xiang Tang  (唐志祥)
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  3. Wei-hua Wang  (王卫华)
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  4. Jing-jing Sun  (孙晶晶)
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  5. Kang Peng  (彭康)
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Corresponding author

Correspondence to Wei-hua Wang  (王卫华).

Additional information

Foundation item: Project(2013BAB02B05) supported by National Science and Technology Support Program of China; Project (2013JSJJ029) supported by the Teacher Fund of Central South University, China; Projects(51074177, 41372278) supported by the National Natural Science Foundation of China

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Liu, Zx., Tang, Zx., Wang, Wh. et al. New algorithm of mine slope reliability based on limiting state hyper-plane and its engineering application. J. Cent. South Univ. 22, 317–322 (2015). https://doi.org/10.1007/s11771-015-2524-8

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  • DOI: https://doi.org/10.1007/s11771-015-2524-8

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