Abstract
Identification of homogeneous region boundaries in a fractured rock mass is the basis of statistics and modeling of discontinuities. In engineering practice, an objective division can be obtained by adopting the major influential factors as indicators and the optimal approach as a tool. For discontinuities in Beishan, a main candidate site for Chinese high-level radioactive waste (HLW) repository, pretreatment techniques (e.g., sampling window truncation, sampling bias correction and block-net variation correction) were used to deal with field data. Programming was then applied to realize homogeneous region division via several methods (e.g., the improved Miller’s method, Mahtab and Yegulalp’s method, and correlation coefficient method). This study preliminarily examined these methods’ distinguishing capability, applicability, and limitations. Results showed that the applicability of the correlation coefficient method as well as the Mahtab and Yegulalp’s method was weak; the improved Miller’s method appeared most satisfactory, especially with a large-area strategy (34 blocks). Finally, two statistical homogeneous regions were obtained by applying the optimal approach to the Jijicao block. Findings can offer guidance for subsequent research on discrete fracture network (DFN) modeling and seepage path simulation, which is important for the prediction and evaluation of radionuclide migration in rock masses.
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Data availability
Some or all data, models, or code generated or used during the study are available by contacting the corresponding author at Liang Guo (e-mail: glxzw@swpu.edu.cn).
Abbreviations
- e ij :
-
is the expected frequency of poles in unit ij
- f ij :
-
is the observation frequency of poles in unit ij
- Xi (i = 1, 2, 3, n):
-
is the observation frequency in blocks of region 1
- Yi (i = 1, 2, 3, n):
-
is the observation frequency in blocks of region 2
- R i :
-
is the total number of poles observed in row i
- C j :
-
is the total number of poles observed in column j
- N :
-
is the total number of poles observed
- D :
-
is the random density
- TCF :
-
is the correction coefficient used in the sampling line
- c :
-
is the fractional area of a block versus the upper-hemisphere
- k :
-
is the minimum integer
- m :
-
is the average pole number of one block in the sample, m = qc
- n :
-
is the number of blocks selected for use on the lower-hemisphere, and the value in the correlation coefficient method is 100
- p :
-
is the probability of random density D
- q :
-
is the total number of poles in the sample
- α :
-
is an assigned low probability
- γ :
-
is the Pearson correlation coefficient
- δ :
-
is the acute angle between the sampling line and the fractures normal
- αn and βn :
-
are the trend and plunge of the fracture’s normal vector, respectively
- αs and βs :
-
are the trend and plunge of the sample line, respectively
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Acknowledgments
The field geological survey of this work has been strongly supported by the Beijing Research Institute of Uranium Geology, and I sincerely thank them for the great support.
Funding
This work was financially supported by National Natural Science Foundation of China (No.41602290, No.41702340), the Open Fund of State Key Laboratory of Geohazard Prevention and Geoenvironment Protection (Chengdu University of Technology, No. SKLGP2017K012), Sichuan Science and Technology Project (No.2019YJ0349), and Research project of Sichuan Mineral Resources Research Center (No. SCKCZY2019-YB001).
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Guo, L., Wu, L., Zhang, J. et al. Identification of homogeneous region boundaries of fractured rock masses in candidate sites for Chinese HLW repository. Bull Eng Geol Environ 79, 4221–4243 (2020). https://doi.org/10.1007/s10064-020-01837-4
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DOI: https://doi.org/10.1007/s10064-020-01837-4