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

doi:10.16285/j.rsm.2016.01.026

›› 2016, Vol. 37 ›› Issue (1): 219-228.doi: 10.16285/j.rsm.2016.01.026

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

刘日成¹，蒋宇静^{1, 2}，李博^{3, 1}，王肖珊¹，徐帮树⁴，蔚立元⁵

1. 长崎大学工学部地盘环境研究室，日本长崎 8528521；2. 山东科技大学矿山灾害预防控制省部共建国家重点试验室培育基地，山东青岛 266510；3. 绍兴文理学院土木工程学院，浙江绍兴 312000；4. 山东大学岩土与结构工程研究中心，山东济南 250061； 5. 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

收稿日期:2014-09-23 出版日期:2016-01-11 发布日期:2018-06-09
通讯作者: 蒋宇静，男，1962年生，博士，日本长崎大学教授，博导，主要从事岩石力学方面的科研与教学工作。E-mail:jiang@nagasaki-u.ac.jp E-mail:my1122002006@126.com
作者简介:刘日成，男，1986年生，博士研究生，从事岩体裂隙网络渗流特性研究。
基金资助:
国家自然科学基金(No.51379117, 51579239, 50909056)；日本学术振兴会青年基金B(No.15K18302)；山东省自然科学基金(No.ZR2014EEM014)。

A study of hydraulic properties of rock fracture networks based on rank-one inverse Broyden quasi-Newton method

LIU Ri-cheng¹, JIANG Yu-jing^1,2, LI Bo^3,1, WANG Xiao-shan¹, XU Bang-shu⁴, YU Li-yuan⁵

1. Geoenvironmental Laboratory, Graduate School of Engineering, Nagasaki University, Nagasaki 8528521, Japan; 2. 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 266510, China; 3. College of Civil Engineering, Shaoxing University, Shaoxing, Zhejiang 312000, China; 4. Research Center of Geotechnical and Structural Engineering, Shandong University, Jinan, Shandong 250061, China; 5.State Key Laboratory for Geomechanics and Deep Underground Engineering, China University of Mining and Technology, Xuzhou, Jiangsu 221116, China

Received:2014-09-23 Online:2016-01-11 Published:2018-06-09
Supported by:
This work was supported by the National Natural Science Foundation of China(51279097, 51579239, 50909056), Grant-in-Aid for Young Scientists (B) of Japan(15K18302) and Shandong Provincial Natural Science Foundation of China(Grant No. ZR2014EEM014).

摘要/Abstract

摘要： 岩体裂隙粗糙度和流体惯性效应是影响岩体裂隙网络等效渗透性的重要因素。首先回顾了单裂隙中裂隙粗糙度和流体惯性效应对其过流能力的影响；然后基于逆Broyden秩1拟牛顿迭代法求解控制裂隙内流体流动的非线性方程组，研究岩体裂隙粗糙度和流体惯性效应对离散裂隙网络（DFN）等效渗透性的影响；最后，基于两种不同边界条件，对离散裂隙网络模型内流体的流动特性进行了探讨。结果表明，当水力梯度较小（<0.5）时，裂隙粗糙度和流体惯性效应对离散裂隙网络渗透性的影响很小；当水力梯度较大（>0.5）时，裂隙粗糙度和流体惯性效应对离散裂隙网络渗透性的影响随水力梯度的变化而显著变化；在两种边界条件下，当水力梯度在0.1～10.0之间时，裂隙粗糙度和流体惯性效应对离散裂隙网络过流能力的最大影响分别为18.1%和27.5%。所以，当水力梯度较大时，需要在离散裂隙网络模型的渗流计算中考虑裂隙粗糙度和流体惯性效应的影响。

关键词: 逆Broyden秩1拟牛顿迭代法, 离散裂隙网络, 裂隙粗糙度, 流体惯性效应, 等效渗透系数, 非线性渗流

Abstract: Fracture surface roughness and inertial effect of fluid in fractured rock masses are important factors for characterizing the hydraulic behaviors of rock masses in many rock engineering projects. This study focuses on the influences of fracture surface roughness and inertial effect of fluid on the hydraulic behaviors of 2D discrete fracture networks (DFNs), by solving a set of nonlinear fluid flow equations using the rank-one inverse Broyden quasi-Newton method. Two different boundary conditions are applied to the DFNs; and then the permeability coefficients of the models are calculated. The results show that when the hydraulic gradient J is small (<0.5), the influences of the fracture surface roughness and the inertial effect of fluid on the permeability of DFN are negligible. When the hydraulic gradient J is relatively large (>0.5), the influences of fracture surface roughness and the inertial effect of fluid on the permeability of DFN increase with the increment of the hydraulic gradient. Under two kinds of boundary conditions, the maximum influences of fracture surface roughness and the inertial effect of fluid on the permeability of DFN can be as high as 18.1% and 27.5%, respectively, corresponding to the hydraulic gradient in the range of 0.1-10. Therefore, the fracture surface roughness and the inertial effect of fluid need to be considered when calculating the hydraulic properties of fluid flow in 2D rock fracture networks, especially when the hydraulic gradient is large.

Key words: rank-one inverse Broyden quasi Newton method, discrete fracture network, fracture surface roughness, inertial effect of fluid, equivalent permeability, nonlinear flow

中图分类号:

TU 473.1

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.

LIU Ri-cheng , JIANG Yu-jing , LI Bo , WANG Xiao-shan , XU Bang-shu , YU Li-yuan,. A study of hydraulic properties of rock fracture networks based on rank-one inverse Broyden quasi-Newton method[J]. , 2016, 37(1): 219-228.

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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

A study of hydraulic properties of rock fracture networks based on rank-one inverse Broyden quasi-Newton method

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