A fractal analysis of permeability for fractured rocks

被引：244

作者：

Miao, Tongjun ^{[1
,2
]}

Yu, Boming ^{[1
]}

Duan, Yonggang ^{[3
]}

Fang, Quantang ^{[3
]}

机构：

[1] Huazhong Univ Sci & Technol, Sch Phys, Wuhan 430074, Hunan, Peoples R China

[2] Xinxiang Vocat & Tech Coll, Dept Elect & Mech Engn, Xinxiang 453007, Herts, Peoples R China

[3] Southwest Petr Univ, State Key Oil & Gas Reservoir Geol & Exploitat, Chengdu 610500, Sichuan, Peoples R China

来源：

INTERNATIONAL JOURNAL OF HEAT AND MASS TRANSFER | 2015年 / 81卷

基金：

中国国家自然科学基金;

关键词：

Permeability; Rock; Fractal; Fractures; Fracture networks; FAULT ATTRIBUTES; FLOW; DEFORMATION; NETWORKS; GEOMETRY; LENGTH; PATTERNS; MODEL; FLUID;

D O I：

10.1016/j.ijheatmasstransfer.2014.10.010

中图分类号：

O414.1 [热力学];

学科分类号：

摘要：

Rocks with shear fractures or faults widely exist in nature such as oil/gas reservoirs, and hot dry rocks, etc. In this work, the fractal scaling law for length distribution of fractures and the relationship among the fractal dimension for fracture length distribution, fracture area porosity and the ratio of the maximum length to the minimum length of fractures are proposed. Then, a fractal model for permeability for fractured rocks is derived based on the fractal geometry theory and the famous cubic law for laminar flow in fractures. It is found that the analytical expression for permeability of fractured rocks is a function of the fractal dimension D-f for fracture area, area porosity phi, fracture density D, the maximum fracture length l(max), aperture a, the facture azimuth alpha and facture dip angle theta. Furthermore, a novel analytical expression for the fracture density is also proposed based on the fractal geometry theory for porous media. The validity of the fractal model is verified by comparing the model predictions with the available numerical simulations. (C) 2014 Elsevier Ltd. All rights reserved.

引用

页码：75 / 80

页数：6

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