Characterization of Size-Dependent Inertial Permeability for Rough-Walled Fractures

IF 2.7 3区 工程技术 Q3 ENGINEERING, CHEMICAL
Zihao Sun, Liangqing Wang, Liangchao Zou, Jia-Qing Zhou
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Abstract

Inertial permeability is a critical parameter that quantifies the pressure loss caused by inertia in fluid flow through rough-walled fractures, described by the Forchheimer equation. This study investigates the size effect on the inertial permeability of rough-walled fractures and establishes a characterization model for fractures of varying sizes. Numerical simulations are conducted on five large-scale fracture models (1 m × 1 m) by resolving the Navier–Stokes equations. Smaller models are extracted from these large-scale fracture models for detailed size-dependent analysis. The results show that the peak asperity height (ξ), asperity height variation coefficient (η), and the fitting coefficient of the aperture cumulative distribution curve (C) significantly affect inertial permeability. Specifically, as ξ increases, the fluid flow experiences greater resistance, resulting in a reduction of inertial permeability. Similarly, a larger η corresponds to more variable asperity heights, further decreasing permeability. In contrast, a higher C value, indicating a more uniform aperture distribution, increases inertial permeability by facilitating smoother fluid flow. Quantitatively, the relationship between inertial permeability and fracture size follows a power law, with the sensitivity to roughness parameters diminishing as fracture size increases. This characterization model provides a method for scaling from laboratory-scale to field-scale fractures, offering practical implications for hydraulic engineering and subsurface fluid flow management.

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来源期刊
Transport in Porous Media
Transport in Porous Media 工程技术-工程:化工
CiteScore
5.30
自引率
7.40%
发文量
155
审稿时长
4.2 months
期刊介绍: -Publishes original research on physical, chemical, and biological aspects of transport in porous media- Papers on porous media research may originate in various areas of physics, chemistry, biology, natural or materials science, and engineering (chemical, civil, agricultural, petroleum, environmental, electrical, and mechanical engineering)- Emphasizes theory, (numerical) modelling, laboratory work, and non-routine applications- Publishes work of a fundamental nature, of interest to a wide readership, that provides novel insight into porous media processes- Expanded in 2007 from 12 to 15 issues per year. Transport in Porous Media publishes original research on physical and chemical aspects of transport phenomena in rigid and deformable porous media. These phenomena, occurring in single and multiphase flow in porous domains, can be governed by extensive quantities such as mass of a fluid phase, mass of component of a phase, momentum, or energy. Moreover, porous medium deformations can be induced by the transport phenomena, by chemical and electro-chemical activities such as swelling, or by external loading through forces and displacements. These porous media phenomena may be studied by researchers from various areas of physics, chemistry, biology, natural or materials science, and engineering (chemical, civil, agricultural, petroleum, environmental, electrical, and mechanical engineering).
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