The robustness of the permeability of constructal tree-shaped fissures. (November 2015)

• Record Type: Journal Article
• Authors: Alalaimi, M.; Lorente, S.; Wechsatol, W.; Bejan, A.
• Is Part Of: International journal of heat and mass transfer. Volume 90(2015:Nov.)
• Page Start: 259
• Page End: 265
• Publication Date: 2015-11
• Subjects: Constructal -- Fissures -- Permeability -- Porosity -- Fracture -- Tree-shaped flow; Heat -- Transmission -- Periodicals; Mass transfer -- Periodicals; Chaleur -- Transmission -- Périodiques; Transfert de masse -- Périodiques; Electronic journals; 621.4022
• DOI: 10.1016/j.ijheatmasstransfer.2015.06.042
• Languages: English
• ISSNs: 0017-9310

Abstract

Highlights: The relationship between the global permeability and fissures architecture. The permeability is robust, insensitive to changing the architecture. The analytical results are validated by numerical and experimental results. The permeability formulas may apply to natural porous reservoirs. Abstract: 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.