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| FRACTAL DIMENSION IMPROVED ALGORITHM
OF ORIENTATION POLE DISTRIBUTION FOR JOINTS |
| SONG Lijuan1,XU Mo1,LU Shuqiang2,ZHANG Xiaochao1,YU Chengyun1,HUANG Hui1 |
(1. State Key Laboratory of Geohazard Prevention and Geoenvironment Protection,Chengdu University of Technology,
Chengdu,Sichuan 610059,China;2. Key Laboratory of Geological Hazards on Three Gorges Reservoir Area of
Ministry of Education,China Three Gorges University,Yichang,Hubei 443002,China) |
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Abstract Quantitative description of the structural plane spatial distribution has been the study focus and difficulty,which could help to determine the form of the combination of unstable blocks accurately,and provides accurate and valid information for analysis of rock mass stability. Following the principle of meshing Schmidt pole diagram by equal area,an improved algorithm is suggested based on Chen Jianping?s method for calculating the fractal dimension of joint orientation pole distribution. It can mesh directly the Schmidt orientation polar plot generated by Dips software,take the ring number n for self-defined input variable and greatly simplify the programming. Based on the survey grid data of the spandrel groove internal slop of right dam foundation in Dagangshan Hydropower Station,fractal dimension D of orientation pole distribution for rock mass joints is obtained. The conclusions summarized are almost the same as concluded in the paper of Chen Jianping,which verifies the correctness and feasibility of the improved algorithm and promotes the universal application of the method of Chen Jianping?s.
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Received: 13 August 2012
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| [1] FISHER R. Dispersion on a sphere[J]. Proceedings of the Royal Society of London:Series A,1953,217:295–305.
[2] BINGHAM C. Distribution on the sphere and on the projective plane[Ph. D. Thesis][D]. New Haven:Yale University,1964.
[3] GOODMAN R E. 不连续岩体中的地质工程方法[M]. 北京:中国铁道出版社,1980:33–81.(GOODMAN R E. Methods of geological engineering in discontinuous rock mass[M]. Beijing:China Railway Press,1980:33–81.(in Chinese))
[4] 陶振宇,潘别桐. 岩石力学原理与方法[M]. 武汉:中国地质大学出版社,1981:23–30.(TAO Zhenyu,PAN Bietong. Rock mechanics principles and methods[M]. Wuhan:China University of Geosciences Press,1981:23–30.(in Chinese))
[5] KULATILAKE P H S W. Bivatiate normal distribution fitting on discontinuity orientation clusters[J]. Mathematical Geology,1998,18(2):181–195.
[6] DERSHOWITZ W S,EINSTEIN H H. Characterizing rock joint geometry with joint system models[J]. Rock Mechanics and Rock Engineering,1988,21(1):21–51.
[7] MANDELBROT B B. The Fractal geometry of nature[M]. San Francisco:W H Freeman,1983.
[8] TURK N,GREIG M J,DEARMAN W R,et al. Characterization of rock joint surface by fractal dimension[C]// The 28th U. S. Symposium on Rock Mechanics(USRMS),Tucsan AZ:American Rock Mechanics Association,1987:1 209–1 223.
[9] CARR J R,WARRINER J B. Relationship between the fractal dimension and joint roughness coefficient[J]. Bulletin of the Association of Engineering Geologists,1989,26(2):253–263.
[10] LEE Y J. The fractal dimension as a measure of the roughness of rock discontinuity profiles[J]. Internation Journal of Rock Mechanics and Mining Sciences and Geomechanics Abstracts,1990,27(6):453–464.
[11] 谢和平. 岩石节理粗糙系数(JRC)的分形估计[J]. 中国科学:B辑,1994,24(5):524–530.(XIE Heping. Estimation on rock joint roughness coefficient(JRC) by fractal feature[J]. Science in China:Series B,1994,24(5):524–530.(in Chinese))
[12] 谢和平. 岩石节理的分形描述[J]. 岩土工程学报,1995,17(1):18–23.(XIE Heping. Fractal description of rock joints[J]. Chinese Journal of Geotechnical Engineering,1995,17(1):18–23.(in Chinese))
[13] 丁多文. 岩体结构分形及应用研究[J]. 岩土力学,1993,14(3):67–71.(Ding Duowen. Study on the fractal of structure of rock mass and its application[J]. Rock and Soil Mechanics,1993,14(3):67–71.(in Chinese))
[14] 陈剑平,王 清,肖树芳. 岩体裂隙网络分数维计算机模拟[J]. 工程地质学报,1995,3(3):79–85.(CHEN Jianping,WANG Qing,
XIAO Shufang. Computer modelling of the fractal dimension of rock mass fracture network[J]. Journal of Engineering Geology,1995,3(3):79–85.(in Chinese))
[15] 王谦源. 分形分布节理的模拟研究[J]. 岩石力学与工程学报,1999,18(3):271–274.(WANG Qianyuan. Study on the simulation of the fractal distribution joints[J]. Chinese Journal of Rock Mechanics and Engineering,1999,18(3):271–274.(in Chinese))
[16] 卢 波,陈剑平,葛修润,等. 节理岩体结构的分形几何研究[J]. 岩石力学与工程学报,2005,24(3):461–466.(LU Bo,CHEN Jianping,GE Xiurun,et al. Fractal geometry study on structure of jointed rock mass[J]. Chinese Journal of Rock Mechanics and Engineering,2005,24(3):461–466.(in Chinese))
[17] 徐光黎. 岩石结构面几何特征的分形与分维[J]. 水文地质工程地质,1993,(2):20–22.(XU Guangli. Fractal and fractal dimension of joint geometry[J]. Hydrogeology and Engineering Geology,1993,(2):20–22.(in Chinese))
[18] 袁宝远,杨志法,肖树芳. 岩体结构要素分形几何研究[J]. 工程地质学报,1998,6(4):355–361.(YUAN Baoyuan,YANG Zhifa,XIAO Shufang. Study on fractal geometry of essential elements of rock mass structure[J]. Journal of Engineering Geology,1998,6(4):355–361.(in Chinese))
[19] 黄国明,黄润秋. 节理岩体分形描述[J]. 中国煤田地质,1998,10(3):45–48.(HUANG Guoming,HUANG Runqiu. Fractal description of jointed rock mass[J]. Coal Geology of China,1998,10(3):45–48. (in Chinese))
[20] 陈剑平,王 清,谷宪民,等. 岩体节理产状极点分布的分形维[J]. 岩石力学与工程学报,2007,26(3):501–508.(CHEN Jianping,WANG Qing,GU Xianmin,et al. Fractal dimension of orientation pole distribution for rock mass joints[J]. Chinese Journal of Rock Mechanics and Engineering,2007,26(3):501–508.(in Chinese)) |
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