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| STUDY OF CORRELATION BETWEEN FRACTAL DIMENSION AND RQD OF THREE-DIMENSIONAL JOINTED ROCK MASS |
| XU Liming，WANG Qing，CHEN Jianping，ZHOU Fujun，TAN Chun |
| (College of Construction Engineering，Jilin University，Changchun，Jilin 130026，China) |
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Abstract Firstly，the three-dimensional network simulation technique is used to establish the model of randomly distributed discontinuities in the statistical homogeneity zone of rock mass structure. The structure of jointed rock mass is regenerated on the screen of computer. Then，the fractal dimension of three-dimensional jointed rock mass is calculated by using fractal theory. The three-directional scanlines which are parallel to x，y and z axes respectively are set in the three-dimensional network model of jointed rock mass to obtain the rock quality designation(RQD). By analyzing the data of fractal dimension and RQD，it is found that the RQD decreases with the increase in the fractal dimension，which have a good linear relationship. The formulae of fractal dimension and RQD under different thresholds of three-dimensional jointed rock mass are deduced. Based on the slope of the linear relationship curve between fractal dimension and RQD，the most reasonable threshold is determined.
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Received: 12 June 2010
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| [1] MANDELBROT B B. The fractal geometry of nature[M]. San Francisco：[s.n.]，1983：1–3.
[2] 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，1993，20(2)：20–22.(XU Guangli. Fractal analysis for rock mass joint geometry[J]. Hydrogeology and Engineering Geology，1993，20(2)：20–22.(in Chinese))
[3] POULTON M M，MOJTABAI N，FARMER I W. Scale invariant behavior of massive and fragmented rock[J]. International Journal of Rock Mechanics and Mining Sciences and Geomechanics Abstracts，1990，27(3)：219–221.
[4] 秦四清，张倬元，王士天，等. 节理岩体的分维特征及其工程地质意义[J]. 工程地质学报，1993，1(2)：14–23.(QIN Siqing，ZHANG Zhuoyuan，WANG Shitian，et al. The fractal characteristics of jointed rock mass and its engineering geology significance[J]. Journal of Engineering Geology，1993，1(2)：14–23.(in Chinese))
[5] 陈剑平，王 清，肖树芳. 岩体裂隙网络分形维数计算机模拟[J]. 工程地质学报，1995，3(3)；79–85.(CHEN Jianping，WANG Qing，XIAO Shufang. Computer modeling of the fractal dimension of rock mass fracture network[J]. Journal of Engineering Geology，1995，3(3)：79–85.(in Chinese))
[6] 荣 冠，周创兵. 基于裂隙网络模拟技术的结构面分布分形维数计算[J]. 岩石力学与工程学报，2004，23(20)：3 465–3 469.(RONG Guan，ZHOU Chuangbing. Study on fractal dimension of discontinuity distribution based on simulation technique of discontinuities network[J]. Chinese Journal of Rock Mechanics and Engineering，2004，23(20)：3 465–3 469.(in Chinese))
[7] 陈乃明，王如路，刘宝琛. 岩体节理网络分形的计算机模拟研究[J]. 岩石力学与工程学报，1995，14(3)：255–259.(CHEN Naiming，WANG Rulu，LIU Baochen. Computer simulation of fractal dimension of jointed rock mass network[J]. Chinese Journal of Rock Mechanics and Engineering，1995，14(3)：255–259.(in Chinese))
[8] 刘艳章，盛建龙，葛修润，等. 基于岩体结构面分布分形维的岩体质量评价[J]. 岩土力学，2007，28(5)：971–975.(LIU Yanzhang，SHENG Jianlong，GE Xiurun，et al. Evaluation of rock mass quality based on fractal dimension of rock mass discontinuity distribution[J]. Rock and Soil Mechanics，2007，28(5)：971–975.(in Chinese))
[9] 连建发，慎乃齐，张杰坤. 分形理论在岩体质量评价中的应用研究[J]. 岩石力学与工程学报，2001，20(增1)：1 695–1 698.(LIAN Jianfa，SHEN Naiqi，ZHANG Jiekun. Application research on fractal theory in rock mass quality evaluation[J]. Chinese Journal of Rock Mechanics and Engineering，2001，20(Supp.1)：1 695–1 698.(in Chinese))
[10] 刘树新，张 飞. 三维岩体质量的多重分形评价及分类[J]. 岩土力学，2004，25(7)：1 116–1 121.(LIU Shuxin，ZHANG Fei. Multifractal evaluation and classification of 3D jointed rock mass quality[J]. Rock and Soil Mechanics，2004，25(7)：1 116–1 121.(in Chinese))
[11] 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)：461–467.(LU Bo，CHEN Jianping，GE Xiurun，et al. Fractal geometry study structure of jointed rock mass[J]. Chinese Journal of Rock Mechanics and Engineering，2005，24(3)：461–467.(in Chinese))
[12] FENG Z C，ZHAO Y S，ZHAO D. Investigating the scale effects in strength of fractured rock mass[J]. Chaos，Solitons and Fractals，2009，41(5)：2 377–2 386.
[13] BOADU F K，LONG L T. The fractal character of fracture spacing and RQD[J]. International Journal of Rock Mechanics and Mining Sciences and Geomechanics Abstracts，1994，31(2)：127–134.
[14] 张济忠. 分形[M]. 北京：清华大学出版社，1995：111.(ZHANG Jizhong. Fractal[M]. Beijing：Tsinghua University Press，1995：111.(in Chinese))
[15] 陈剑平，王 清，肖树芳. 随机不连续面三维网络计算机模拟原理[M]. 长春：东北师范大学出版社，1995：11–16.(CHEN Jianping，WANG Qing，XIAO Shufang. Computer simulation theory of 3D random discontinuities network[M]. Changchun：Northeast Normal University Press，1995：11–16.(in Chinese))
[16] 陈剑平，王 清，赵红亮. 窗口测线法获取岩体RQD[J]. 岩石力学与工程学报，2004，23(9)：1 491–1 495.(CHEN Jianping，WANG Qing，ZHAO Hongliang. Obtaining RQD of rock mass by sampling window method[J]. Chinese Journal of Rock Mechanics and Engineering，2004，23(9)：1 491–1 495.(in Chinese))
[17] 王国欣，肖树芳，陈剑平. 不连续面三维网络在RQD研究中的应用研究[J]. 岩石力学与工程学报，2002，21(12)：1 761–1 764.(WANG Guoxin，XIAO Shufang，CHEN Jianping. Study on application of 3D network of discontinuities to RQD[J]. Chinese Journal of Rock Mechanics and Engineering，2002，21(12)：1 761–1 764.(in Chinese))
[18] DEERE D U. Technical description of rock cores for engineering purpose[J]. Rock Mechanics and Engineering Geology，1964，1(1)：18–22. |
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2011, Vol. 30 
