Effective Diffusion Range of Exponential Fluids Based on Navier-Stokes Equation in Collapse Area
-
摘要: 为了研究注浆过程水泥浆体在破碎岩体中的扩散范围和压力分布状态，以Navier-Stokes方程为理论基础，在COMSOL平台上建立单裂隙模型，模拟浆体在不规则的单一裂隙面上的流动特征. 在此基础上，建立破碎岩体的平面裂隙模型，同时设置不同的贯通系数，模拟浆体在破碎岩体中的扩散规律. 研究结果表明：当模型中裂隙贯通系数较低时（0.1～0.5），浆体有效扩散范围较小，约为1.5～4.1 m，扩散范围随着压差的增加呈非线性的增加，但是增加率快速降低接近0；当模型中裂隙贯通系数较大时（0.5～1.0），浆体的有效扩散范围显著增加，约为4.1～6.2 m，随着压差的增加也呈非线性增加，增加率呈降低的趋势；当模型中裂隙贯通系数为1.0时，即破碎的岩体中裂隙面全部连通状态，浆体扩散距离随着压差的增加近似呈线性增加，最大扩散距离约为6.2 m. 同时在注浆孔外围6 m处取芯结果能明显观察到浆体固结的破碎岩块，这与模型计算结果一致.
-
关键词:
- 幂律型流体 /
- Navier-Stokes方程 /
- 注浆 /
- COMSOL模拟
Abstract: In order to study the diffusion range and pressure distribution of cement paste during grouting in the fractured rock mass, based on the deduced Navier-Stokes equation, a single fracture model is established on the COMSOL platform to simulate the flow characteristics of slurry on irregular single fracture surface. In this regard, a plane fracture model with different penetration coefficients is established to simulate the diffusion law of the slurry in the broken rock mass. The results show that when the crack penetration coefficient is low in the model (0.1−0.5), the effective diffusion range of the slurry is small, about 1.5−4.1 m, and the diffusion distance increases slowly and nonlinearly with the increase of pressure difference, and the increase rate decreases to near 0 quickly. When the fracture penetration coefficient in the model is larger (0.5−1.0), the effective diffusion range of the slurry increases significantly, about 4.1−6.2 m; and it increases nonlinearly with the increase of pressure difference, and the rate of increase decreases gradually. When the fracture penetration coefficient of the model is 1.0, the fractured surface of broken rock is all connected. The diffusion distance of slurry increases approximately linearly with the increase of pressure difference, and the maximum diffusion distance is about 6.2 m. Meanwhile, the results of coring at 6 m around the grouting hole show that the fractured rock mass consolidated by the slurry can be clearly observed, which is consistent with the calculation results of the model.-
Key words:
- power-law fluids /
- Navier-Stokes equations /
- grouting /
- COMSOL simulation
-
图 3 主矿体垮塌区滑移面z向应变云图
Figure 3. z direction strain cloud map of slip surface in the collapse area of the main ore body
图 6 注浆体在不规则裂隙表面的流动速度
Figure 6. Flow velocity of a grouting slurry on an irregular fissure surface
图 7 浆体在连通（贯通系数为1）的微裂隙中的流动速度平面矢量图
Figure 7. Plane vector graph of the slurry flow velocity in connected micro fissures with a penetration coefficient of 1
图 8 浆体扩散过程中压差等值线图（贯通系数为1）
Figure 8. Pressure drop contour map of slurry diffusion with a penetration coefficient of 1
图 9 不同裂隙贯穿系数的压差-扩散范围变化曲线
Figure 9. Pressure difference-diffusion range curves for different crack penetration coefficients
表 1 透水率测试表
Table 1. Permeability test results
序号 位置孔号 试验压力/MPa 试验段长/m 吕荣值/Lu 1 Zk1 0.6 16 69.5 2 Zk2 0.6 17 92.0 3 Zk3 0.6 21 118.0 平均值 0.6 18 93.167 
下载: 导出CSV
-
张连震,李志鹏,张庆松,等. 基于土体非线性压密效应的劈裂注浆机制分析[J]. 岩石力学与工程学报,2016,35(7): 1483-1493.ZHANG Lianzhen, LI Zhipeng, ZHANG Qingsong, et al. Split grouting mechanism based on nonlinear characteristics of compression process of soil[J]. Chinese Journal of Rock Mechanics and Engineering, 2016, 35(7): 1483-1493. 孙锋,张顶立, 陈铁林,等. 土体劈裂注浆过程的细观模拟研究[J]. 岩土工程学报,2010,32(3): 474-480.SUN Feng, ZHANG Dingli, CHEN Tielin, et al. Meso-mechanical simulation of fracture grouting in soil[J]. Chinese Journal of Geotechnical Engineering, 2010, 32(3): 474-480. 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 Zhaofeng, 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. 郑卓, 李术才, 刘人太, 等. 裂隙岩体注浆中的浆液-岩体耦合效应分析[J]. 岩石力学与工程学报, 2015(增刊2): 4054-4062.ZHENG Zhuo, LI Shucai, LIU Rentai, et al. Analysis of coupling effect between grout and rock mass during jointed rock grouting[J]. Chinese Journal of Rock Mechanics and Engineering, 2015(S2): 4054-4062. 王强,冯志强,王理想,等. 裂隙岩体注浆扩散范围及注浆量数值模拟[J]. 煤炭学报,2016,41(10): 2588-2595.WANG Qiang, FENG Zhiqiang, WANG Lixiang, et al. Numerical analysis of grouting radius and grout quantity in fractured rock mass[J]. Journal of China Coal Society, 2016, 41(10): 2588-2595. 雷进生. 碎石土地基注浆加固力学行为研究[D]. 北京: 中国地质大学, 2013. 郑大为,张彬,王笑冰. 黏度渐变型浆液渗透注浆灌注均匀砂层计算方法的研究[J]. 岩石力学与工程学报,2005,24(增刊1): 5086-5089.ZHENG Dawei, ZHANG Bin, WANG Xiaobing. A study on calculation method of penetration theory for conforming sand layer[J]. Chinese Journal of Rock Mechanics and Engineering, 2005, 24(S1): 5086-5089. 杨志全,牛向东,侯克鹏,等. 流变参数时变性幂律型水泥浆液的柱形渗透注浆机制研究[J]. 岩石力学与工程学报,2015,34(7): 2415-2421.YANG Zhiquan, NIU Xiangdong, HOU Kepeng, et al. Columnar diffusion of cement grout with time dependent rheological parameters[J]. Chinese Journal of Rock Mechanics and Engineering, 2015, 34(7): 2415-2421. 周子龙,赵云龙,陈钊,等. 基于颗粒流方法的土体压密注浆细观机理[J]. 中南大学学报(自然科学版),2017,48(2): 465-472. doi: 10.11817/j.issn.16727207.2017.02.026ZHOU Zilong, ZHAO Yunlong, CHEN Zhao, et al. Meso-mechanism of compaction grouting in soil based on particle flow method[J]. Journal of Central South University (Science and Technology), 2017, 48(2): 465-472. doi: 10.11817/j.issn.16727207.2017.02.026 FRANSSON A, TSANG C F, RUTQVIST J, et al. A new parameter to assess hydromechanical effects in single-hole hydraulic testing and grouting[J]. International Journal of Rock Mechanics and Mining Sciences, 2007, 44(7): 1011-1021. doi: 10.1016/j.ijrmms.2007.02.007 DAHLO T S, NILSEN B. Stability and rock cover of hard rock subsea tunnels[J]. Tunnelling and Underground Space Technology, 1994, 9(2): 151-158. doi: 10.1016/0886-7798(94)90026-4 冯志强,康红普,杨景贺. 裂隙岩体注浆技术探讨[J]. 煤炭科学技术,2005,33(4): 63-66. doi: 10.3969/j.issn.0253-2336.2005.04.019FENG Zhiqiang, KANG Hongpu, YANG Jinghe. Discussion on grouting technology for crack rock mass[J]. Coal Science and Technology, 2005, 33(4): 63-66. doi: 10.3969/j.issn.0253-2336.2005.04.019 阮文军,王文臣,胡安兵. 新型水泥复合浆液的研制及其应用[J]. 岩土工程学报,2001,23(2): 212-216. doi: 10.3321/j.issn:1000-4548.2001.02.018RUAN Wenjun, WANG Wenchen, HU Anbing. Development and application of new kind of cement composite grout[J]. Chinese Journal of Geotechnical Engineering, 2001, 23(2): 212-216. doi: 10.3321/j.issn:1000-4548.2001.02.018 陈义斌, 高鸣安, 陈明祥, 等. 江娅工程孔口封闭帷幕灌浆高压下灌桨材料性能试验研究[J]. 岩石力学与工程学报, 2001, 20(增刊): 1809-1813.CHEN Yibin, GAO Ming’an, CHEN Mingxiang, et al. Study on the properties of grouting materials under high pressure in the curtain grouting with hole-top enclosure of the Jiangya project[J]. Chinese Journal of Rock Mechanics and Engineering, 2001, 20(S): 1809-1813. BAKER C. Comments on paper rock stabilization in rock mechanics[M]. New York: Springer Verlag, 1974: 45-78. 邹金锋,李亮,杨小礼. 劈裂注浆扩散半径及压力衰减分析[J]. 水利学报,2006,37(3): 314-319. doi: 10.3321/j.issn:0559-9350.2006.03.010ZOU Jinfeng, LI Liang, YANG Xiaoli. Penetration radius and pressure attenuation law in fracturing grouting[J]. Journal of Hydraulic Engineering, 2006, 37(3): 314-319. doi: 10.3321/j.issn:0559-9350.2006.03.010 LOMBARDI G. Should cement grout be thick or thin[C]//Collection of Translations of Modern Grouting Techniques. Beijing: Water Resources and Electric Power Press, 1991: 76-81. 孙锋,张顶立,陈铁林,等. 基于宾汉体浆液的海底隧道劈裂注浆机制研究[J]. 北京交通大学学报,2009,33(4): 1-6. doi: 10.3969/j.issn.1673-0291.2009.04.001SUN Feng, ZHANG Dingli, CHEN Tielin, et al. Study on Fracture groutingmechanism in subsea tunnel based on Binghan fluids[J]. Journal of Beijing Jiaotong University, 2009, 33(4): 1-6. doi: 10.3969/j.issn.1673-0291.2009.04.001 杨秀竹,王星华,雷金山. 宾汉体浆液扩散半径的研究及应用[J]. 水利学报,2004,35(6): 75-79. doi: 10.3321/j.issn:0559-9350.2004.06.013YANG Xiuzhu, WANG Xinghua, LEI Jinshan. Study on grouting diffusion radius of Bingham fluids[J]. Journal of Hydraulic Engineering, 2004, 35(6): 75-79. doi: 10.3321/j.issn:0559-9350.2004.06.013 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): 2415-2421.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): 2415-2421. 张庆松,张连震,刘人太,等. 水泥-水玻璃浆液裂隙注浆扩散的室内试验研究[J]. 岩土力学,2015,36(8): 2159-2168.ZHANG Qingsong, ZHANG Lianzhen, LIU Rentai, et al. Laboratory experimental study of cement-silicate slurry diffusion law of crack grouting with dynamic water[J]. Rock and Soil Mechanics, 2015, 36(8): 2159-2168. 阮文军. 注浆扩散与浆液若干基本性能研究[J]. 岩土工程学报,2005,27(1): 69-73. doi: 10.3321/j.issn:1000-4548.2005.01.011RUAN Wenjun. Research on diffusion of grouting and basic properties of grouts[J]. Chinese Journal of Geotechnical Engineering, 2005, 27(1): 69-73. doi: 10.3321/j.issn:1000-4548.2005.01.011 YANG Z Q, HOU K P, GUO T T. Research on time-varying behavior of cement grouts of different water-cement ratios[J]. Applied Mechanics and Materials, 2011, 75: 4398-4401. 杨秀竹,雷金山,夏力农,等. 幂律型浆液扩散半径研究[J]. 岩土力学,2005,26(11): 1803-1806. doi: 10.3969/j.issn.1000-7598.2005.11.019YANG Xiuzhu, LEI Jinshan, XIA Linong, et al. Study on grouting diffusion radius of exponential fluids[J]. Rock and Soil Mechanics, 2005, 26(11): 1803-1806. doi: 10.3969/j.issn.1000-7598.2005.11.019 周子龙,杜雪明,陈钊,等. 基于Navier-Stokes方程幂律型浆液扩散压力[J]. 中南大学学报(自然科学版),2017(7): 1824-1830. doi: 10.11817/j.issn.1672-7207.2017.07.020ZHOU Zilong, DU Xueming, CHEN Zhao, et al. Grouting pressure of exponential fluids based on Navier-Stokes equation[J]. Journal of Central South University (Science and Technology), 2017(7): 1824-1830. doi: 10.11817/j.issn.1672-7207.2017.07.020 刘健,刘人太,张霄,等. 水泥浆液裂隙注浆扩散规律模型试验与数值模拟[J]. 岩石力学与工程学报,2012,31(12): 2445-2452. doi: 10.3969/j.issn.1000-6915.2012.12.008LIU Jian, LIU Rentai, ZHANG Xiao, et al. Diffusion law model test and numerical simulation of cement fracture grouting[J]. Chinese Journal of Rock Mechanics and Engineering, 2012, 31(12): 2445-2452. doi: 10.3969/j.issn.1000-6915.2012.12.008 HUANG Zhen, JIANG Zhenquan, ZHU Shuyun, et al. Characterizing the hydraulic conductivity of rock formations between deep coal and aquifers using injection tests[J]. International Journal of Rock Mechanics & Mining Sciences, 2011, 71: 12-18. 王存根,王述红,张紫杉,等. 含结构面岩体的岩桥贯通系数修正及其应用[J]. 工程力学,2017,34(5): 95-104.WANG Cungen, WANG Shuhong, ZHANG Zishan, et al. Rockbridge coalescence coefficient correction of rock mass with structural surface and its application[J]. Engineering Mechanics, 2017, 34(5): 95-104. -
下载:
点击查看大图
图(9) / 表(1)
计量
- 文章访问数: 451
- HTML全文浏览量: 163
- PDF下载量: 16
- 被引次数: 0