文献类型：期刊文献

英文题名：A multiple fractal model for estimating permeability of dual-porosity media

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

机构：[1]Shaoxing Univ, Rock Mech & Geohazards Ctr, Shaoxing 312000, Peoples R China;[2]China Univ Min & Technol, State Key Lab Geomech & Deep Underground Engn, Xuzhou 221116, Peoples R China;[3]Nagasaki Univ, Sch Engn, Nagasaki 8528521, Japan;[4]Shandong Univ Sci & Technol, State Key Lab Min Disaster Prevent & Control Cofu, Qingdao 266590, Peoples R China;[5]Shandong Univ Sci & Technol, Minist Sci & Technol, Qingdao 266590, Peoples R China

年份：2016

卷号：540

起止页码：659

外文期刊名：JOURNAL OF HYDROLOGY

收录：SCI-EXPANDED(收录号：WOS:000382269500051)、、EI(收录号：20162702571579)、Scopus(收录号：2-s2.0-84976619660)、WOS

基金：This study has been partially funded by National Natural Science Foundation of China (Grant Nos. 41427802, 51379117, 51579239). These supports are gratefully acknowledged.

语种：英文

外文关键词：Permeability; Dual-porosity media; Fracture network; Porous matrix; Fractal dimension; Aperture distribution

外文摘要：A multiple fractal model that considers the fractal properties of both porous matrices and fracture networks is proposed for the permeability of dual-porosity media embedded with randomly distributed fractures. In this model, the aperture distribution is verified to follow the fractal scaling law, and the porous matrix is assumed to comprise a bundle of tortuous capillaries that also follow the fractal scaling law. Analytical expressions for fractal aperture distribution, total flow rate, total equivalent permeability, and dimensionless permeability are established, where the dimensionless permeability is defined as the ratio of permeability of the porous matrices to that of the fracture networks. The dimensionless permeability is closely correlated to the structural parameters (i.e., alpha, theta, D-tf, D-tp, D-e, D-p, e(max), lambda(max)) of the dual-porosity media, and it is more sensitive to the fractal dimension for the size distribution of fracture aperture than to that for the size distribution of pore/capillary diameter. The maximum pore/capillary diameter has a greater impact on the dimensionless permeability than that of the maximum fracture aperture. The dimensionless permeability of fracture networks constructed by the fractal aperture distribution has close values with those of models with lognormal aperture distribution. The proposed multiple fractal model does not involve any empirical constants that do not have clear physical meanings, which could serve as a quick estimation method for assessing permeability of dual-porosity media. (C) 2016 Elsevier rights reserved.