尹升华等:含硫充填体膨胀裂隙发育特性与单轴抗压强度的关联分析 .15 jing:China Communications Press,2005 istic of meso-structure of concrete with metakaolin and low water- (中华人民共和国交通部.TGE41一2005公路工程岩石试验 binder ratio.J China Coal Soc,2015,40(8):1820 规程.北京:人民交通出版社,2005) (刘红彬,鞠杨,彭瑞东,等.低水胶比偏高岭土混凝土的强 [3] National Development and Reform Commission,People's Republic 度和细观结构的分形特征.煤炭学报,2015,40(8):1820) of China.DL/T5368-2007 Code for Rock Tests of Hydroelectrie [13]Wu A X,Liu X H,Wang H J,et al.Microstructural evolution and Water Conservancy Engineering.Beijing:China Electric Pow- characteristics of an unclassified tailing paste in constant shear er Press,2007 ing.Chin J Eng,2015,37(2)145 (中华人民共和国国家发展和改革委员会.DL/T5368一2007 (吴爱祥,刘晓辉,王洪江,等.恒定剪切作用下全尾膏体微 水电水利工程岩石试验规程.北京:中国电力出版社,2007) 观结构演化特征.工程科学学报,2015,37(2):145) [4]Ministry of Water Resources,People's Republic of China. [14]Xue Z L,Wu A X,Yin S H,et al.Evolution rules of dual medi- S1264-2001 Specifications for Rock Tests in Water Conservancy um fractal seepage in copper oxide ore heap leaching.Chin J and Hydroelectric Engineering.Beijing:China Water and Power Nonferrous Met,2014,24(9)2373 Pes5,2001 (薛振林,吴爱祥,尹升华,等.氧化铜矿堆浸双重介质分形 (中华人民共和国水利部.SL264一2001水利水电工程岩石试 渗流演化规律.中国有色金属学报,2014,24(9):2373) 验规程.北京:中国水利水电出版社,2001) [15]General Administration of Quality Supervision,Inspection and [5]Ministry of Water Resources,People's Republic of China. Quarantine of the People's Republic of China,China National SL352-2006 Test Code for Hydraulic Concrete.Beijing:China Standardization Management Committee.GB/T 176-2008 Meth- Water and Power Press,2006 ods for Chemical Analysis of Cement.Beijing:China Standard (中华人民共和国水利部.SL352一2006水工混凝土试验规 Pres5,2008 程.北京:中国水利水电出版社,2006) (全国水泥标准化技术委员会.GB/T176一2008水泥化学分 [6]Peng R D,Xie H P,Ju Y.Computation method of fractal dimen- 析方法.北京:中国标准出版社,2008) sion for 2-D digital image.J China Univ Min Technol,2004,33 [16]Rao Y Z,Shao Y J,Xiao G Z,et al.Effect of polycarboxylate- (1):19 based superplasticizer on performances of super fine tailings paste (彭瑞东,谢和平,鞠杨.二维数字图像分形维数的计算方 backfill.Chin J Nonferrous Met,2016,26(12):2647 法.中国矿业大学学报,2004,33(1):19) (饶运章,邵亚建,肖广哲,等.聚羧酸减水剂对超细全尾砂 [7]Zhu H G,Xie H P,Yi C,et al.CT identification of microcracks 膏体性能的影响.中国有色金属学报,2016,26(12):2647) evolution for rock materials.Chin J Rock Mech Eng,2011,30 [17]Li Y R,Duan J.Method of calculating fractal dimension for color (6):1230 images.Comput Sci,2015,42(8):310 (朱红光,谢和平,易成,等.岩石材料微裂隙演化的CT识 (李玉蓉,段江.彩色图像分形维数的计算方法.计算机科 别.岩石力学与工程学报,2011,30(6):1230) 学,2015,42(8):310) [8]Li S G,Qin W B,LiZ L,et al.Research on fractal characteriza- [18]Li P F.Xing L X,Pan J,et al.Image's fractal dimension calcu- tion of mined crack network evolution repeated coal mining.Lia- lation and its edge extraction.J Jilin Unis Inform Sci Ed,2011, oning Tech Unir Nat Sci,2016,35(12):1384 29(2):152 (李树刚,秦伟博,李志梁,等.重复采动覆岩裂隙网络演化 (李鹏飞,邢立新,潘军,等.图像分形维数计算及其边缘提 分形特征.辽宁工程技术大学学报(自然科学版),35(12): 取.吉林大学学报(信息科学版),2011,29(2):152) 1384) [19]Zhao H Y,Yang G J,Xu Z G.Comparison of calculation meth- [9]Li H Y,Wang W H,Qi QX,et al.Study on fissure development ods-based image fractal dimension.Comput Syst Appl,2010,20 rule of overlying strata influenced by mining based on fractal theo- (3):238 ry.J China Coal Soc,2014,39(6):1023 (赵海英,杨光俊,徐正光.图像分形维数计算方法的比较. (李宏艳,王维华,齐庆新,等.基于分形理论的采动裂隙时 计算机系统应用,2010,20(3):238) 空演化规律研究.煤炭学报,2014,39(6):1023) [20]Dong Y,Hu G R.Technology of counting image fractal dimen- [10]Li J L,Zhou K P,Ke B.Association analysis of pore develop- sion.Comput Appl Softcare,2001,18(6):61 ment characteristics and uniaxial compressive strength property of (董远,胡光锐.图像分形维数计算技术.计算机应用与软 granite under freezing-thawing cycles.China Coal Soc,2015, 件,2001,18(6):61) 40(8):1783 [21] Wang Y,Feng D,Chen S X,et al.Estimation of cracked soil's (李杰林,周科平,柯波.冻融后花岗岩孔隙发育特征与单 representative elementary volume based on fractal dimension. 轴抗压强度的关联分析.煤炭学报,2015,40(8):1783) Rock Soil Mech,2013,34(10):2774 [11]Tang C S,Wang D Y,Shi B,et al.Quantitative analysis of soil (王媛,冯迪,陈尚星,等.基于分维数的土体裂隙表征单元 desiccation crack network.Chin Geotech Eng,2013,35(12): 体估算.岩土力学,2013,34(10):2774) 2298 [22]Liu J H,Gao M,Wu A X.Corrosion and deterioration mecha- (唐朝生,王德银,施斌,等.土体干缩裂隙网络定量分析 nism of water-rich filling materials in acid solution.Chin Eng, 岩土工程学报,2013,35(12):2298) 2016,38(9):1212 [12]Liu H B.Ju Y,Peng R D,et al.Strength and fractal character- (刘娟红,高萌,吴爱祥.酸性环境中富水充填材料腐蚀及尹升华等: 含硫充填体膨胀裂隙发育特性与单轴抗压强度的关联分析 jing: China Communications Press, 2005 (中华人民共和国交通部. JTG E41—2005 公路工程岩石试验 规程. 北京: 人民交通出版社, 2005) [3] National Development and Reform Commission, People蒺s Republic of China. DL / T 5368—2007 Code for Rock Tests of Hydroelectric and Water Conservancy Engineering. Beijing: China Electric Pow鄄 er Press, 2007 (中华人民共和国国家发展和改革委员会. DL / T 5368—2007 水电水利工程岩石试验规程. 北京: 中国电力出版社, 2007) [4] Ministry of Water Resources, People蒺s Republic of China. SL264—2001 Specifications for Rock Tests in Water Conservancy and Hydroelectric Engineering. Beijing: China Water and Power Press, 2001 (中华人民共和国水利部. SL264—2001 水利水电工程岩石试 验规程. 北京: 中国水利水电出版社, 2001) [5] Ministry of Water Resources, People蒺s Republic of China. SL352—2006 Test Code for Hydraulic Concrete. Beijing: China Water and Power Press, 2006 (中华人民共和国水利部. SL352—2006 水工混凝土试验规 程. 北京: 中国水利水电出版社, 2006) [6] Peng R D, Xie H P, Ju Y. Computation method of fractal dimen鄄 sion for 2鄄D digital image. J China Univ Min Technol, 2004, 33 (1): 19 (彭瑞东, 谢和平, 鞠杨. 二维数字图像分形维数的计算方 法. 中国矿业大学学报, 2004, 33(1): 19) [7] Zhu H G, Xie H P, Yi C, et al. CT identification of microcracks evolution for rock materials. Chin J Rock Mech Eng, 2011, 30 (6): 1230 (朱红光, 谢和平, 易成, 等. 岩石材料微裂隙演化的 CT 识 别. 岩石力学与工程学报, 2011, 30(6): 1230) [8] Li S G, Qin W B, Li Z L, et al. Research on fractal characteriza鄄 tion of mined crack network evolution repeated coal mining. J Lia鄄 oning Tech Univ Nat Sci, 2016, 35(12): 1384 (李树刚, 秦伟博, 李志梁, 等. 重复采动覆岩裂隙网络演化 分形特征. 辽宁工程技术大学学报(自然科学版), 35(12): 1384) [9] Li H Y, Wang W H, Qi Q X, et al. Study on fissure development rule of overlying strata influenced by mining based on fractal theo鄄 ry. J China Coal Soc, 2014, 39(6): 1023 (李宏艳, 王维华, 齐庆新, 等. 基于分形理论的采动裂隙时 空演化规律研究. 煤炭学报, 2014, 39(6): 1023) [10] Li J L, Zhou K P, Ke B. Association analysis of pore develop鄄 ment characteristics and uniaxial compressive strength property of granite under freezing鄄thawing cycles. J China Coal Soc, 2015, 40(8): 1783 (李杰林, 周科平, 柯波. 冻融后花岗岩孔隙发育特征与单 轴抗压强度的关联分析. 煤炭学报, 2015, 40(8): 1783) [11] Tang C S, Wang D Y, Shi B, et al. Quantitative analysis of soil desiccation crack network. Chin J Geotech Eng, 2013, 35(12): 2298 (唐朝生, 王德银, 施斌, 等. 土体干缩裂隙网络定量分析. 岩土工程学报, 2013, 35(12): 2298) [12] Liu H B, Ju Y, Peng R D, et al. Strength and fractal character鄄 istic of meso鄄structure of concrete with metakaolin and low water鄄 binder ratio. J China Coal Soc, 2015, 40(8): 1820 (刘红彬, 鞠杨, 彭瑞东, 等. 低水胶比偏高岭土混凝土的强 度和细观结构的分形特征. 煤炭学报, 2015, 40(8): 1820) [13] Wu A X, Liu X H, Wang H J, et al. Microstructural evolution characteristics of an unclassified tailing paste in constant shear鄄 ing. Chin J Eng, 2015, 37(2): 145 (吴爱祥, 刘晓辉, 王洪江, 等. 恒定剪切作用下全尾膏体微 观结构演化特征. 工程科学学报, 2015, 37(2): 145) [14] Xue Z L, Wu A X, Yin S H, et al. Evolution rules of dual medi鄄 um fractal seepage in copper oxide ore heap leaching. Chin J Nonferrous Met, 2014, 24(9): 2373 (薛振林, 吴爱祥, 尹升华, 等. 氧化铜矿堆浸双重介质分形 渗流演化规律. 中国有色金属学报, 2014, 24(9): 2373) [15] General Administration of Quality Supervision, Inspection and Quarantine of the People蒺s Republic of China, China National Standardization Management Committee. GB/ T 176—2008 Meth鄄 ods for Chemical Analysis of Cement. Beijing: China Standard Press, 2008 (全国水泥标准化技术委员会. GB / T 176—2008 水泥化学分 析方法. 北京: 中国标准出版社, 2008) [16] Rao Y Z, Shao Y J, Xiao G Z, et al. Effect of polycarboxylate鄄 based superplasticizer on performances of super fine tailings paste backfill. Chin J Nonferrous Met, 2016, 26(12): 2647 (饶运章, 邵亚建, 肖广哲, 等. 聚羧酸减水剂对超细全尾砂 膏体性能的影响. 中国有色金属学报, 2016, 26(12): 2647) [17] Li Y R, Duan J. Method of calculating fractal dimension for color images. Comput Sci, 2015, 42(8): 310 (李玉蓉, 段江. 彩色图像分形维数的计算方法. 计算机科 学, 2015, 42(8): 310) [18] Li P F, Xing L X, Pan J, et al. Image蒺s fractal dimension calcu鄄 lation and its edge extraction. J Jilin Univ Inform Sci Ed, 2011, 29(2): 152 (李鹏飞, 邢立新, 潘军, 等. 图像分形维数计算及其边缘提 取. 吉林大学学报(信息科学版), 2011, 29(2): 152) [19] Zhao H Y, Yang G J, Xu Z G. Comparison of calculation meth鄄 ods鄄based image fractal dimension. Comput Syst Appl, 2010, 20 (3): 238 (赵海英, 杨光俊, 徐正光. 图像分形维数计算方法的比较. 计算机系统应用, 2010, 20(3): 238) [20] Dong Y, Hu G R. Technology of counting image fractal dimen鄄 sion. Comput Appl Software, 2001, 18(6): 61 (董远, 胡光锐. 图像分形维数计算技术. 计算机应用与软 件, 2001, 18(6): 61) [21] Wang Y, Feng D, Chen S X, et al. Estimation of cracked soil蒺s representative elementary volume based on fractal dimension. Rock Soil Mech, 2013, 34(10): 2774 (王媛, 冯迪, 陈尚星, 等. 基于分维数的土体裂隙表征单元 体估算. 岩土力学, 2013, 34(10): 2774) [22] Liu J H, Gao M, Wu A X. Corrosion and deterioration mecha鄄 nism of water鄄rich filling materials in acid solution. Chin J Eng, 2016, 38(9): 1212 (刘娟红, 高萌, 吴爱祥. 酸性环境中富水充填材料腐蚀及 ·15·