Journal
JOURNAL OF ROCK MECHANICS AND GEOTECHNICAL ENGINEERING
Volume 15, Issue 9, Pages 2339-2354Publisher
SCIENCE PRESS
DOI: 10.1016/j.jrmge.2022.11.010
Keywords
Size effect; Discrete fracture network (DFN); Stochastic mathematics; Anisotropy; Coefficient of variation (CV)
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This study analyzes the size effects and determines the representative elementary sizes of a fractured rock mass in the Datengxia Hydropower Station, China. A novel method considering geometric parameter distributions is proposed. The method quickly and simply determines the size effects and representative elementary sizes by generating parameter distributions and assessing them using the coefficient of variation. Furthermore, the study extends the representative element to one and two dimensions and establishes relationships among multi-dimensional representative elementary sizes.
This study takes a fractured rock mass in the Datengxia Hydropower Station, China as an example to analyze the size effects and determine the representative elementary sizes. A novel method considering geometric parameter distributions is proposed in this work. The proposed method can quickly and simply determine the size effects and representative elementary sizes. Specifically, geometric parameter distributions, including fracture frequency, size and orientation, are generated on the basis of the Bernoulli trial and Monte Carlo simulation. The distributions are assessed using the coefficient of variation (CV), and the acceptable variations for CV (5%, 10% and 20%) are used to determine representative elementary sizes. Generally, the representative element of rock masses is the representative elementary volume (REV). The present study extends the representative element to other dimensions, i.e. representative elementary length (REL) and representative elementary area (REA) for one and two dimensions, respectively. REL and REA are useful in studying the size effects of one- (1D) and two-dimensional (2D) characteristics of rock masses. The relationships among multi-dimensional representative elementary sizes are established. The representative elementary sizes reduce with the increase in the dimensions, and REA and REV can be deduced by REL. Therefore, the proposed method can quickly and simply determine REL and further estimate REA and REV, which considerably improves the efficiency of rock mass analysis. (C) 2023 Institute of Rock and Soil Mechanics, Chinese Academy of Sciences. Production and hosting by Elsevier B.V. This is an open access article under the CC BY license (http://creativecommons.org/licenses/by/4.0/).
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