|
|
|
| Diffusion model of an ideal expansible grout in single fracture |
| LI Xiaolong1,2,JIN Di1,2,WANG Fuming1,2,ZHONG Yanhui1,2,ZHANG Bei1,2 |
(1. School of Water Conservancy and Environment,Zhengzhou University,Zhengzhou,Henan 450001,China;
2. Infrastructure Engineering Safety Protection Theory and Technology Innovation Team of Ministry of Education,Zhengzhou University,Zhengzhou,Henan 450001,China) |
|
|
|
|
Abstract This study is to investigate the diffusion mechanism of an ideal self-expansible grout with known density variation over time in rock fracture. Based on the viscous fluid mechanics,a radial diffusion model of the expansible grout in a single water-free fracture is deduced considering the factors such as the initial grout filling range,fracture aperture,time and expansion coefficient. The corresponding axisymmetric model in typical grouting conditions is established with the general CFD software Fluent to verify the analytical model numerically. The numerical results of the grout diffusion radius,pressure and flow velocity distribution are in good agreement with the analytic results at different times under different conditions,which proves the rationality and correctness of the diffusion model.
|
|
|
|
|
|
[1] LI S C,LIU R T,ZHANG Q S,et al. Protection against water or mud inrush in tunnels by grouting:a review[J]. Journal of Rock Mechanics and Geotechnical Engineering,2016,8(5):753–766.
[2] SUI W H,LIU J Y,HU W,et al. Experimental investigation on sealing efficiency of chemical grouting in rock fracture with flowing water[J]. Tunnelling and Underground Space Technology,2015,50(1):239–249.
[3] AZADI M R,TAGHICHIAN A,TAHERI A. Optimization of cement-based grouts using chemical additives[J]. Journal of Rock Mechanics and Geotechnical Engineering,2017,9(4):623–637.
[4] LEE H B,OH T M,PARK E S,et al. Factors affecting waterproof efficiency of grouting in single rock fracture[J]. Geomechanics and Engineering,2017,12(5):771–783.
[5] 刘泉声,雷广峰,卢超波,等. 注浆加固对岩体裂隙力学性质影响的试验研究[J]. 岩石力学与工程学报,2017,36(增1):3 140–3 147. (LIU Quansheng,LEI Guangfeng,LU Chaobo,et al. Experimental study of grouting reinforcement influence on mechanical properties of rock fracture[J]. Chinese Journal of Rock Mechanics and Engineering,2017,36(Supp.1):3 140–3 147.(in Chinese))
[6] 李召峰,李术才,刘人太,等. 富水破碎岩体注浆加固实验与机制研究[J]. 岩石力学与工程学报,2017,36(1):198–207.(LI Shaofeng,LI Shucai,LIU Rentai,et al. Grouting reinforcement experiment for water-rich broken rock mass[J]. Chinese Journal of Rock Mechanics and Engineering,2017,36(1):198–207.(in Chinese))
[7] 王复明,钟燕辉,石明生,等. 隧道渗漏水快速处治高聚物注浆方法[P]. 中国:ZL200910227697.5,2013–11–06.(WANG Fuming,ZHONG Yanhui,SHI Mingsheng,et al. Polymer grouting method for rapid treatment of tunnel seepage water[P]. China:ZL200910227697.5,2013–11–06.(in Chinese))
[8] 李晓龙,王复明,钟燕辉,等. 自膨胀高聚物注浆材料在二维裂隙中流动扩散仿真方法研究[J]. 岩石力学与工程学报,2015,34(6):1 188–1 197.(LI Xiaolong,WANG Fuming,ZHONG Yanhui,et al. Simulation on flowing and diffusing of expansible grouting material of polymer in two-dimensional fracture[J]. Chinese Journal of Rock Mechanics and Engineering,2015,34(6):1 188–1 197.(in Chinese))
[9] 冯志强,康红普. 新型聚氨酯堵水注浆材料的研究及应用[J]. 岩土工程学报,2010,32(3):375–380.(FENG Zhiqiang,KANG Hongpu. Development and application of new waterproof grouting materials of polyurethane[J]. Chinese Journal of Geotechnical Engineering,2010,32(3):375–380.(in Chinese))
[10] 石明生. 高聚物注浆材料特性与堤坝定向劈裂注浆机制研究[博士学位论文][D]. 大连:大连理工大学,2010.(SHI Mingsheng. Research on polymer grouting materrial properties and directional fracturing grouting mechanism for dykes and dams[Ph. D. Thesis][D]. Dalian:Dalian University of Technology,2010.(in Chinese))
[11] AMADEI B,SAVAGE W Z. An analytical solution for transient flow of Bingham viscoplastic materials in rock fractures[J]. International Journal of Rock Mechanics and Mining Sciences,2001,38(2):285–296.
[12] 罗平平,李志平,范 波,等. 倾斜单裂隙宾汉浆液流动模型理论研究[J]. 山东科技大学学报:自然科学版,2010,29(1):43–47. (LUO Pingping,LI Zhiping,FAN Bo,et al. Theoretical study on flow model for tilted single fracture Binghamian grout[J]. Journal of Shandong University of Science and Technology,2010,29(1):43–47.(in Chinese))
[13] TANI M E. Grouting rock fractures with cement grout[J]. Rock Mechanics and Rock Engineering,2012,45(4):547–561.
[14] 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 od grouting in rock mass fisssures 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))
[15] 湛铠瑜,隋旺华,高 岳. 单一裂隙动水注浆扩散模型[J]. 岩土力学,2011,32(6):1 659–1 663.(ZHAN Kaiyu,SUI Wanghua,GAO Yue. A model for grouting into single fracture with flowing water[J]. Rock and Soil Mechanics,2011,32(6):1 659–1 663.(in Chinese))
[16] 田美霞. 考虑浆液黏度时变性的单裂隙动水注浆扩散模型[J]. 重庆交通大学学报:自然科学版,2011,30(增1):536–537.(TIAN Meixia. A model for grouting into fracture with flowing water based on time-dependent behavior of viscosity[J]. Journal of Chongqing Jiaotong University:Natural Science,2011,30(Supp.1):536–537.(in Chinese))
[17] 张庆松,张连震,张 霄,等. 基于浆液黏度时空变化的水平裂隙岩体注浆扩散机制[J]. 岩石力学与工程学报,2015,34(6):1 198– 1 210.(ZHANG Qingsong,ZHANG Lianzhen,ZHANG Xiao,et al. Grouting diffusion in a horizontal crack considering temporal and spatial variation of viscosity[J]. Chinese Journal of Rock Mechanics and Engineering,2015,34(6):1 198–1 210.(in Chinese))
[18] FUNEHAG J,GUSTAFSON G. Design of grouting with silica sol in hard rock - New methods for calculation of penetration length,Part I[J]. Tunnelling and Underground Space Technology,2008,23(1):1–8.
[19] TANI M E,STILLE H. Grout spread and injection period of silica solution and cement mix in rock fractures[J]. Rock Mechanics and Rock Engineering,2017,50(9):2 365–2 380.
[20] MITANI T,HAMADA H. Prediction of flow patterns in the polyurethane foaming process by numerical simulation considering foam expansion[J]. Polymer Engineering and Science,2003,43(9):1 603–1 612.
[21] 许贤良,王传礼,张 军,等. 流体力学[M]. 北京:国防工业出版社,2006:39–108.(XU Xianliang,WANG Chuanli,ZHANG Jun,et al. Fluid mechanics[M]. Beijing:National Defense Industry Press,2006:39–108.(in Chinese))
[22] Fluent Inc. FLUENT 6.3 user?s guide[M]. Lebanon:Fluent Inc., 2006:7–1–9–44. |
|
|
|