Centroid sliding pyramid method for removability and stability analysis of fractured hard rock

Research output: Contribution to journalArticleResearchpeer review

Authors

  • Wei Wu
  • Xiaoying Zhuang
  • Hehua Zhu
  • Xingen Liu
  • Guowei Ma

Research Organisations

External Research Organisations

  • Tongji University
  • Shanghai Tongyan Civil Engineering Technology Co. Ltd
  • University of Western Australia
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Details

Original languageEnglish
Pages (from-to)627-644
Number of pages18
JournalActa Geotechnica
Volume12
Issue number3
Publication statusPublished - 2 Feb 2017

Abstract

This paper proposes a new method using centroid sliding pyramid (CSP) to identify the removability and stability of fractured hard rock in tunnel and slope engineering. The new method features two geometrical and topological improvements over the original key block method (KBM). Firstly, all the concave corners are considered as starting points of cutting process when a concave block is divided into a set of convex blocks in the original KBM. Only the concave corners formed by two joint planes are used for partitioning a concave block in the presented method and concave corners with free planes are excluded. Secondly, joint pyramid for removability computation in the original KBM is generated using all of the joint planes, while CSP is calculated only from the joint planes adjoining the free planes. The cone angle θ of CSP is the vectorial angle formed by the two candidate sliding surfaces of this CSP. Removability analysis of a block is transformed into calculating the cone angle of CSP. The geometrical relationship is simplified, and data size for removability computation is reduced compared with the original KBM. The provided method is implemented in a computer program and validated by examples of fractured rock slopes and tunnels.

Keywords

    Block theory, Free domain, Removability, Rock mass, Sliding pyramid, Stability analysis

ASJC Scopus subject areas

Cite this

Centroid sliding pyramid method for removability and stability analysis of fractured hard rock. / Wu, Wei; Zhuang, Xiaoying; Zhu, Hehua et al.
In: Acta Geotechnica, Vol. 12, No. 3, 02.02.2017, p. 627-644.

Research output: Contribution to journalArticleResearchpeer review

Wu W, Zhuang X, Zhu H, Liu X, Ma G. Centroid sliding pyramid method for removability and stability analysis of fractured hard rock. Acta Geotechnica. 2017 Feb 2;12(3):627-644. doi: 10.1007/s11440-016-0510-4
Wu, Wei ; Zhuang, Xiaoying ; Zhu, Hehua et al. / Centroid sliding pyramid method for removability and stability analysis of fractured hard rock. In: Acta Geotechnica. 2017 ; Vol. 12, No. 3. pp. 627-644.
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abstract = "This paper proposes a new method using centroid sliding pyramid (CSP) to identify the removability and stability of fractured hard rock in tunnel and slope engineering. The new method features two geometrical and topological improvements over the original key block method (KBM). Firstly, all the concave corners are considered as starting points of cutting process when a concave block is divided into a set of convex blocks in the original KBM. Only the concave corners formed by two joint planes are used for partitioning a concave block in the presented method and concave corners with free planes are excluded. Secondly, joint pyramid for removability computation in the original KBM is generated using all of the joint planes, while CSP is calculated only from the joint planes adjoining the free planes. The cone angle θ of CSP is the vectorial angle formed by the two candidate sliding surfaces of this CSP. Removability analysis of a block is transformed into calculating the cone angle of CSP. The geometrical relationship is simplified, and data size for removability computation is reduced compared with the original KBM. The provided method is implemented in a computer program and validated by examples of fractured rock slopes and tunnels.",
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AU - Wu, Wei

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AU - Liu, Xingen

AU - Ma, Guowei

N1 - Funding Information: The authors gratefully acknowledge the supports from the Key Programme from Natural Science Foundation of China (41130751), the Ministry of Science and Technology of China (Grant No. SLDRCE 14-A-09), Science and Technology Commission of Shanghai Municipality (16QA1404000) and Program for Changjiang Scholars and Innovative Research Team in University (PCSIRT, IRT1029). Publisher Copyright: © 2017, Springer-Verlag Berlin Heidelberg. Copyright: Copyright 2021 Elsevier B.V., All rights reserved.

PY - 2017/2/2

Y1 - 2017/2/2

N2 - This paper proposes a new method using centroid sliding pyramid (CSP) to identify the removability and stability of fractured hard rock in tunnel and slope engineering. The new method features two geometrical and topological improvements over the original key block method (KBM). Firstly, all the concave corners are considered as starting points of cutting process when a concave block is divided into a set of convex blocks in the original KBM. Only the concave corners formed by two joint planes are used for partitioning a concave block in the presented method and concave corners with free planes are excluded. Secondly, joint pyramid for removability computation in the original KBM is generated using all of the joint planes, while CSP is calculated only from the joint planes adjoining the free planes. The cone angle θ of CSP is the vectorial angle formed by the two candidate sliding surfaces of this CSP. Removability analysis of a block is transformed into calculating the cone angle of CSP. The geometrical relationship is simplified, and data size for removability computation is reduced compared with the original KBM. The provided method is implemented in a computer program and validated by examples of fractured rock slopes and tunnels.

AB - This paper proposes a new method using centroid sliding pyramid (CSP) to identify the removability and stability of fractured hard rock in tunnel and slope engineering. The new method features two geometrical and topological improvements over the original key block method (KBM). Firstly, all the concave corners are considered as starting points of cutting process when a concave block is divided into a set of convex blocks in the original KBM. Only the concave corners formed by two joint planes are used for partitioning a concave block in the presented method and concave corners with free planes are excluded. Secondly, joint pyramid for removability computation in the original KBM is generated using all of the joint planes, while CSP is calculated only from the joint planes adjoining the free planes. The cone angle θ of CSP is the vectorial angle formed by the two candidate sliding surfaces of this CSP. Removability analysis of a block is transformed into calculating the cone angle of CSP. The geometrical relationship is simplified, and data size for removability computation is reduced compared with the original KBM. The provided method is implemented in a computer program and validated by examples of fractured rock slopes and tunnels.

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