文献类型：期刊文献

英文题名：A fractal model based on a new governing equation of fluid flow in fractures for characterizing hydraulic properties of rock fracture networks

作者：Liu, Richeng[1,2];Li, Bo[2,3];Jiang, Yujing[2,4,5]

机构：[1]China Univ Min & Technol, State Key Lab Geomech & Deep Underground Engn, Xuzhou 221116, Jiangsu, Peoples R China;[2]Nagasaki Univ, Sch Engn, 1-14 Bunkyo Machi, Nagasaki 8528521, Japan;[3]Shaoxing Univ, Rock Mech & Geohazards Ctr, Shaoxing 312000, Peoples R China;[4]Shandong Univ Sci & Technol, State Key Lab Min Disaster Prevent & Control Cofo, Qingdao 266510, Peoples R China;[5]Shandong Univ Sci & Technol, Minist Sci & Technol, Qingdao 266510, Peoples R China

年份：2016

卷号：75

起止页码：57

外文期刊名：COMPUTERS AND GEOTECHNICS

收录：SCI-EXPANDED(收录号：WOS:000373647800006)、、EI(收录号：20160701927842)、Scopus(收录号：2-s2.0-84957558149)、WOS

基金：This study has been partially funded by Grant-in-Aid for Young Scientists (B), Japan (Grant No. 15K18302), China Scholarship Council (CSC) and National Natural Science Foundation of China (Grant No. 51379117). These supports are gratefully acknowledged.

语种：英文

外文关键词：Governing equation; Cubic law; Discrete fracture network; Fractal dimension; Tortuosity; Random number

外文摘要：This study presents a fractal length distribution model of fractures in discrete fracture networks (DFNs), adopting a fractal dimension D-f that represents the geometric distribution characteristics of fractures and another fractal dimension D-T that represents the tortuosity of fluid flow induced by surface roughness of single fractures in DFNs. A new governing equation for fluid flow in single fractures based on the cubic law was incorporated into this fractal model. Fluid flow in 1290 DFNs with different geometric characteristics of fractures and side lengths was simulated and their equivalent permeability was calculated. The results show that the values of a, which is the power law exponent of the fracture size distribution, calculated by the proposed fractal model are consistent with those reported in similar previous studies. The flow rate of a DFN changes proportionally with e(T)(6-D) where e is the aperture, which agrees better with the in-situ measurements reported in literature than the prediction of classical cubic law (e(3)). The equivalent permeability of DFNs is more sensitive to the random number utilized to generate the fracture length than the ones used to generate the orientation and center point of fractures. With the increment of D-f, the size of the representative elementary volume (REV) decreases. When the size of a DFN is larger than the REV, the variation of equivalent permeability induced by the random number holds constant. When D-f < 1.5, fluid flow in a DFN is dominated by the relatively small fractures with their lengths shorter than the side length of the DFN. With increasing D-f, fluid flow becomes more dominated by the longer fractures, especially the ones cutting through the models. (C) 2016 Elsevier Ltd. All rights reserved.