The robustness of the permeability of constructal tree-shaped fissures

被引：22
|
作者：
Alalaimi, M. [1 ]
Lorente, S. [2 ]
Wechsatol, W. [3 ]
Bejan, A. [1 ]
机构：
[1] Duke Univ, Dept Mech Engn & Mat Sci, Durham, NC 27708 USA
[2] Univ Toulouse, INSA, F-31077 Toulouse, France
[3] King Mongkuts Univ Technol Thonburi, Bangkok 10140, Thailand
来源：
INTERNATIONAL JOURNAL OF HEAT AND MASS TRANSFER | 2015年 / 90卷
基金：
美国国家科学基金会;
关键词：
Constructal; Fissures; Permeability; Porosity; Fracture; Tree-shaped flow; FRACTURE DISSOLUTION; POROUS-MEDIA; NETWORKS; PATTERNS; FLOW;
D O I：
10.1016/j.ijheatmasstransfer.2015.06.042
中图分类号：
O414.1 [热力学];
学科分类号：
摘要：
Here we develop analytically the formulas for effective permeability in several configurations using the closed-form description of tree networks designed to provide flow access. The objective was to find the relation between the permeability and porosity of tree-shaped fissures. We found the effect of the fracture size on the permeability for fixed number of bifurcation and the results showed that the permeability of the fracture network increased rapidly with the size of the fracture. Next, we found a relation between the Reservoir Quality Index (RQI) and the porosity of the fracture. The results in this paper have been validated by comparison with experimental and numerical results. We show that the permeability formulas do not vary much from one tree design to the next, suggesting that similar formulas may apply to naturally fissured porous media with unknown precise details, which occur in natural reservoirs. (C) 2015 Elsevier Ltd. All rights reserved.
引用
收藏
页码：259 / 265
页数：7
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