Abstract:A geometric model of joint surfaces was constructed through the fractional Brown function. The finite element analysis on the basis of N-S equations was conducted to the fracture grouting process. The influence of roughness and connectivity of joint surfaces on the fracture grouting was investigated and the rationality of the modified cubic law was analyzed. When the potential of the interface layer is relatively low,the calculation results of the modified cubic law are lower than the actual values. When the contacting area is uniformly distributed,the degree of anisotropy is low and the calculated deviation is small,and vice versa. A grout spreading formula based on the modified cubic law,constitutive equation of interface layer and grout flow equation was proposed considering the grout-rock coupling effect. The calculated distance of grout spreading is greater than that without the coupling effect. The calculation deviation is also larger with the increase of grout viscosity.
[1] 张庆松,韩伟伟,李术才,等. 灰岩角砾岩破碎带涌水综合注浆治理[J]. 岩石力学与工程学报,2012,31(12):2 412–2 419.(ZHANG Qingsong,HAN Weiwei,Li Shucai,et al. Comprehensive grouting treatment for water gushing analysis in limestone breccias fracture zone[J]. Chinese Journal of Rock Mechanics and Engineering,2012,31(12):2 412–2 419.(in Chinese))
[2] 李术才,刘人太,张庆松,等. 基于黏度时变性的水泥–玻璃浆液扩散机制研究[J]. 岩石力学与工程学报,2013,32(12):2 415–2 421. (LI Shucai,LIU Rentai,ZHANG Qingsong,et al. Research on C-S slurry diffusion mechanism with time-dependent behavior of viscosity[J]. Chinese Journal of Rock Mechanics and Engineering,2013,32(12):2 415–2 421.(in Chinese))
[3] BAKER C. Comments on paper rock stabilization in rock mechanics[M]. NY:Springer-Verlag NY,1974:22–57.
[4] 刘嘉材. 裂缝注浆扩散半径研究[C]// 中国水利水电科学院科学研究论文集. 北京:水利电力出版社,1982:133–149.(LIU Jiacai,Study on diffusion radius of crack grouting. Beijing:Water Conservancy and Electric Power Press,1982:133–149.(in Chinese))
[5] 阮文军. 基于浆液黏度时变性的岩体裂隙注浆扩散模型[J]. 岩石力学与工程学报,2005,24(15):2 709–2 714.(RUAN Wenjun. Spreading model of grouting in rock mass fissures based on time-dependent behavior of viscosity of cement-based grouts[J]. Chinese Journal of Rock Mechanics and Engineering,2005,24(15):2 709–2 714.(in Chinese))
[6] 刘人太. 水泥基速凝浆液地下工程动水注浆扩散封堵机理及应用研究[博士学位论文][D]. 济南:山东大学,2012.(LIU Rentai. Study on diffusion and plugging mechanism of quick setting cement based slurry in underground dynamic water grouting and its application[Ph. D. Thesis][D]. Jinan:Shandong University,2012.(in Chinese))
[7] 谢和平. 岩石节理粗糙系数的分形估计[J]. 中国科学,1994,(5):524–531.(XIE Heping. Fractal evaluation on roughness coefficient of rock mass[J]. Science in China,1994,(5):524–531.(in Chinese))
[8] 许宏发,李艳茹,刘新宇,等. 节理面分形模拟及JRC与分维的关系[J]. 岩石力学与工程学报,2002,21(11):1 663–1 666.(XU Hongfa,LI Yanru,LIU Xinyu,et al. Joint surface simulation and relationship between JRC and fractal dimension[J]. Chinese Journal of Rock Mechanics and Engineering,2002,21(11):1 663–1 666.(in Chinese))
[9] TSE R,CRUDEN D M. Estimating joint roughness coefficients[J]. International Journal of Rock Mechanics and Mining Sciences and Geomechanics Abstracts,1979,16(5):303–307.
[10] 周创兵,陈益峰,姜清辉. 岩体结构面HM耦合分析的界面层模 型[J]. 岩石力学与工程学报,2008,27(6):1 082–1 093.(ZHOU Chuangbing,CHEN Yifeng,JIANG Qinghui. An interfacial layer model for coupled hydro-mechanical analysis in geological discontinuities[J]. Chinese Journal of Rock Mechanics and Engineering,2008,27(6): 1 082–1 093.(in Chinese))
[11] WALSH J B. Effect of pore pressure and confining pressure on fracture permeability[J]. International Journal of Rock Mechanics and Mining Sciences,1981,18(5):429–435.
[12] ZIMMERMAN R W,CHEN D W,COOK N G W. The effect of contact area on the permeability of fractures[J]. Journal of Hydrology,1992,139(1/4):79–96.
[13] PIGGOTT A R,ELSWORTH D. Analytical model for flow through obstructed domains[J]. Journal of Geophysical Research,1992,97(6):2 085–2 093.
[14] OBDAM A N M,VELING E J M. Elliptical inhomogeneities in groundwater flow:an analytical description[J]. Journal of Hydrology,1987,95(1/2):87–96.
[15] ZIMMERMAN R W,BODVARSSON G S. Study of fractal aperture distribution and flow in fractures[J]. Pro-Posições,2009,20(1):23–44.
[16] 陈益峰,周创兵,盛永清. 应变敏感的裂隙及裂隙岩体水力传导特性研究[J]. 岩石力学与工程学报,2006,25(12):2 441–2 452. (CHEN Yifeng,ZHOU Chuangbing,SHENG Yongqing. Strain dependent hydraulic conductivity for single rock fracture and fractured rock mass[J]. Chinese Journal of Rock Mechanics and Engineering,2006,25(12):2 441–2 452.(in Chinese))
[17] CHEN Y F,ZHOU C B,SHENG Y Q. Formulation of strain dependent hydraulic conductivity for fractured rock mass[J]. International Journal of Rock Mechanics and Mining Sciences,2007,44(7):981–996.
[18] 周创兵,熊文林. 岩石节理的渗流广义立方定理[J]. 岩土力学,1996,17(4):1–7.(ZHOU Chuangbing,XIONG Wenlin. A generalized cubic law for percolation in rock joints[J]. Rock and Soil Mechanics,1996,17(4):1–7.(in Chinese))
[19] RIKARD G,HÅN S. Fracture dilation during grouting[J]. Tunnelling and Underground Space Technology,2009,24(2):126–135.
[20] GOTHÄ L L R,STILLE H. Fracture-fracture interaction during grouting[J]. Tunnelling and Underground Space Technology,2010,25(3):199–204.