›› 2016, Vol. 37 ›› Issue (11): 3165-3174.doi: 10.16285/j.rsm.2016.11.016

• 基础理论与实验研究 • 上一篇    下一篇

等效水力隙宽和水力梯度对岩体裂隙网络非线性渗流特性的影响

刘日成1, 2,李 博3,蒋宇静2, 4,蔚立元1   

  1. 1. 中国矿业大学 深部岩土力学与地下工程国家重点实验室,江苏 徐州 221116;2. 长崎大学 工学研究科,日本 长崎 8528521; 3. 绍兴文理学院 土木工程学院,浙江 绍兴 312000;4. 山东科技大学 矿山灾害预防控制省部共建国家重点实验室培育基地,山东 青岛 266590
  • 收稿日期:2015-10-08 出版日期:2016-11-11 发布日期:2018-06-09
  • 通讯作者: 李博,男,1981年生,博士,教授,博导,主要从事岩石力学方面的教学工作。E-mail: libo@usx.edu.cn E-mail:my1122002006@126.com
  • 作者简介:刘日成,男,1986年生,博士,中国矿业大学助理研究员,主要从事岩体裂隙网络渗流特性研究。
  • 基金资助:

    国家重点基础研究发展计划(973)项目(No.2013CB036003);国家自然科学基金(No. 51379117, No. 51579239, No.41427802)。

Effects of equivalent hydraulic aperture and hydraulic gradient on nonlinear seepage properties of rock mass fracture networks

LIU Ri-cheng1, 2, LI Bo3, JIANG Yu-jing2, 4, YU Li-yuan1   

  1. 1.State Key Laboratory for Geomechanics and Deep Underground Engineering, China University of Mining and Technology, Xuzhou, Jiangsu 221116, China; 2. Graduate School of Engineering, Nagasaki University, Nagasaki 8528521, Japan; 3. College of Civil Engineering, Shaoxing University, Shaoxing, Zhejiang 312000, China; 4. State Key Laboratory of Mining Disaster Prevention and Control Co-founded by Shandong Province and the Ministry of Science and Technology, Shandong University of Science and Technology, Qingdao, Shandong 266590, China
  • Received:2015-10-08 Online:2016-11-11 Published:2018-06-09
  • Supported by:

    This work was supported by the National Basic Research 973 Program of China (2013CB036003) and the National Natural Science Foundation of China (51379117, 51579239, 41427802).

摘要: 等效水力隙宽和水力梯度是影响岩体裂隙网络渗流特性的重要因素。制作裂隙网络试验模型,建立高精度渗流试验系统;求解纳维-斯托克斯方程,模拟流体在裂隙网络内的流动状态,研究等效水力隙宽和水力梯度对非线性渗流特性的影响。结果表明,当水力梯度较小时,等效渗透系数保持恒定的常数,流体流动属于达西流动区域,流量与压力具有线性关系,可采用立方定律计算流体流动;当水力梯度较大时,等效渗透系数随着水力梯度的增加而急剧减少,流体流动进入强惯性效应流动区域,流量与压力具有强烈的非线性关系,可采用Forchheimer方程计算流体流动。随着等效水力隙宽的增加,区别线性和非线性流动区域的临界水力梯度呈幂函数关系递减。当水力梯度小于临界水力梯度时,控制方程可选立方定律;当水力梯度大于临界水力梯度时,控制方程可选Forchheimer方程,其参数A和B可根据经验公式计算得到。其研究结果可为临界水力梯度的确定及流体流动控制方程的选取提供借鉴意义。

关键词: 裂隙网络, 透水试验, 非线性渗流, 纳维-斯托克斯方程, 临界水力梯度

Abstract: Equivalent hydraulic aperture and hydraulic gradient are two important factors that significantly affect the permeability of rock mass fracture networks. A test model of fracture network is made and a high accuracy seepage testing system is established. The Navier-Stokes equations are solved to simulate the flow state of the fluid in the fracture network; and the influences of equivalent hydraulic aperture and hydraulic gradient on nonlinear seepage characteristics are studied. The results show that when the hydraulic gradient is smaller, the equivalent permeability holds constants, indicating that fluid flow is in the Darcy’s flow region; the flow and the pressure have linear relationship and the cubic law can be selected as the governing equation of fluid flow. In contrast, when the hydraulic gradient is higher, the equivalent permeability decreases dramatically with the increment of hydraulic gradient, and fluid flow is in the strong inertia region; the flow and pressure have a strong nonlinear relationship, which can be calculated by the Forchheimer equation. As the equivalent fracture aperture increases, the critical hydraulic gradient, which is utilized to characterize the onset of nonlinear flow in fractures, will decrease following a power law function. When the hydraulic gradient is smaller than the critical hydraulic gradient, the cubic law is selected as governing equation; when the hydraulic gradient is greater than the critical hydraulic gradient, the Forchheimer equation is selected as control equation; the parameters of a and b can be calculated according to the empirical formula. This study can propose useful suggestions to the determination of critical hydraulic gradient and the selection of governing equations when calculating fluid flow in fracture networks.

Key words: fracture network, water permeability test, nonlinear flow, Navier-Stokes equations, critical hydraulic gradient

中图分类号: 

  • TU 451

[1] 尹 乾, 靖洪文, 刘日成, 苏海健, 蔚立元, 王迎超. 不同侧压力系数下裂隙网络岩体非线性渗流特性[J]. 岩土力学, 2019, 40(2): 592-600.
[2] 杨 斌,徐曾和,杨天鸿,杨 鑫,师文豪, . 高水力梯度条件下颗粒堆积型多孔介质渗流规律试验研究[J]. , 2018, 39(11): 4017-4024.
[3] 李文亮,周佳庆,贺香兰,陈益峰,周创兵, . 不同围压下破碎花岗岩非线性渗流特性试验研究[J]. , 2017, 38(S1): 140-150.
[4] 叶祖洋,姜清辉,刘艳章,程爱平,胡少华,孙辅庭,. 岩体离散裂隙网络的非饱和渗流数值分析[J]. , 2017, 38(11): 3332-3340.
[5] 刘 波,金爱兵,高永涛,肖 术, . 基于分形几何理论的DFN模型构建方法研究[J]. , 2016, 37(S1): 625-630.
[6] 刘日成,蒋宇静,李 博,蔚立元,杜 岩,. 岩体裂隙网络非线性渗流特性研究[J]. , 2016, 37(10): 2817-2824.
[7] 刘日成 ,蒋宇静 ,李 博 ,王肖珊 ,徐帮树 ,蔚立元,. 基于逆Broyden秩1拟牛顿迭代法的岩体裂隙网络渗流特性研究[J]. , 2016, 37(1): 219-228.
[8] 严成增 ,孙冠华 ,郑 宏 ,葛修润,. 爆炸气体驱动下岩体破裂的有限元-离散元模拟[J]. , 2015, 36(8): 2419-2425.
[9] 李 果 ,张 茹 ,徐晓炼 ,张艳飞 , . 三轴压缩煤岩三维裂隙CT图像重构及体分形维研究[J]. , 2015, 36(6): 1633-1642.
[10] 陈建生 ,袁克龙 ,王 霜 ,张 华 ,何文政 , . 细砂层埋深对堤基管涌影响的试验研究[J]. , 2015, 36(3): 653-659.
[11] 向 前,何 吉,陈胜宏,吴锦亮. 裂隙岩体三维柔度张量的数值试验方法[J]. , 2015, 36(12): 3625-3632.
[12] 王 霜 ,陈建生 ,周 鹏,. 三层堤基中细砂层厚度对管涌影响的试验研究[J]. , 2015, 36(10): 2847-2854.
[13] 刘日成 ,蒋宇静 ,李 博 ,王肖珊 ,徐帮树,. 岩体裂隙网络等效渗透系数方向性的数值计算[J]. , 2014, 35(8): 2394-2400.
[14] 徐维生 ,周创兵 , . 岩体裂隙网络渗流变水温影响分析[J]. , 2014, 35(1): 204-210.
[15] 王培涛 ,杨天鸿 ,于庆磊 ,刘洪磊 ,夏 冬 ,张鹏海 , . 基于离散裂隙网络模型的节理岩体渗透张量及特性分析[J]. , 2013, 34(S2): 448-454.
Viewed
Full text


Abstract

Cited

  Shared   
  Discussed   
No Suggested Reading articles found!