Numerical Analysis

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

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  • 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 date: 2014-09-23

  Online 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).

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.

Cite this article

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]. Rock and Soil Mechanics, 2016 , 37(1) : 219 -228 . DOI: 10.16285/j.rsm.2016.01.026

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