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

authored by: Wei Wu, Xiaoying Zhuang, Hehua Zhu, Xingen Liu, Guowei Ma
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.
Organisation(s): Institute of Continuum Mechanics
External Organisation(s): Tongji University
Shanghai Tongyan Civil Engineering Technology Co. Ltd
University of Western Australia
Type: Article
Journal: Acta Geotechnica
Volume: 12
Pages: 627-644
No. of pages: 18
ISSN: 1861-1125
Publication date: 02.02.2017
Publication status: Published
Peer reviewed: Yes
ASJC Scopus subject areas: Geotechnical Engineering and Engineering Geology, Earth and Planetary Sciences (miscellaneous)
Electronic version(s): https://doi.org/10.1007/s11440-016-0510-4 (Access: Closed)
: Details in the research portal "Research@Leibniz University"

BibTeX

@article{1a8d63cf92d7483e90aebe3af5f17b39,
title = "Centroid sliding pyramid method for removability and stability analysis of fractured hard rock",
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",
author = "Wei Wu and Xiaoying Zhuang and Hehua Zhu and Xingen Liu and Guowei Ma",
note = "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: {\textcopyright} 2017, Springer-Verlag Berlin Heidelberg. Copyright: Copyright 2021 Elsevier B.V., All rights reserved.",
year = "2017",
month = feb,
day = "2",
doi = "10.1007/s11440-016-0510-4",
language = "English",
volume = "12",
pages = "627--644",
journal = "Acta Geotechnica",
issn = "1861-1125",
publisher = "Springer Verlag",
number = "3",
}