LAPSE:2018.0386
Published Article
LAPSE:2018.0386
Nonlinear Flow Characteristics of a System of Two Intersecting Fractures with Different Apertures
Richeng Liu, Yujing Jiang, Hongwen Jing, Liyuan Yu
July 31, 2018
The nonlinear flow regimes of a crossed fracture model consisting of two fractures have been investigated, in which the influences of hydraulic gradient, surface roughness, intersecting angle, and scale effect have been taken into account. However, in these attempts, the aperture of the two crossed fractures is the same and effects of aperture ratio have not been considered. This study aims to extend their works, characterizing nonlinear flow through a system of two intersecting fractures with different apertures. First, three experiment models with two fractures having different apertures were established and flow tests were carried out. Then, numerical simulations by solving the Navier-Stokes equations were performed and the results compared with the experiment results. Finally, the effects of fracture aperture on the critical pressure difference and the ratio of hydraulic aperture to mechanical aperture were systematically analyzed. The results show that the numerical simulation results agree well with those of the fluid flow tests, which indicates that the visualization techniques and the numerical simulation code are reliable. With the increment of flow rate, the pressure difference increases first linearly and then nonlinearly, which can be best fitted using Forchheimer’s law. The two coefficients in Forchheimer’s law decrease with the increasing number of outlets. When increasing fracture aperture from 3 mm to 5 mm, the critical pressure difference increases significantly. However, when continuously increasing fracture aperture from 5 mm to 7 mm, the critical pressure difference changes are negligibly small. The ratio of hydraulic aperture to mechanical aperture decreases more significantly for a fracture that has a larger aperture. Increasing fracture aperture from 5 mm to 7 mm, that has a negligibly small effect on the critical pressure difference will however significantly influence the ratio of hydraulic aperture to mechanical aperture.
Keywords
critical pressure difference, hydraulic aperture, mechanical aperture, Navier-Stokes equations, nonlinear flow
Subject
Suggested Citation
Liu R, Jiang Y, Jing H, Yu L. Nonlinear Flow Characteristics of a System of Two Intersecting Fractures with Different Apertures. (2018). LAPSE:2018.0386
Author Affiliations
Liu R: State Key Laboratory for Geomechanics and Deep Underground Engineering, China University of Mining and Technology, Xuzhou 221116, China; School of Engineering, Nagasaki University, 1-14 Bunkyo-machi, Nagasaki 8528521, Japan [ORCID]
Jiang Y: School of Engineering, Nagasaki University, 1-14 Bunkyo-machi, Nagasaki 8528521, Japan; State Key Laboratory of Mining Disaster Prevention and Control Co-Founded by Shandong Province and the Ministry of Science and Technology, Shandong University of Scien [ORCID]
Jing H: State Key Laboratory for Geomechanics and Deep Underground Engineering, China University of Mining and Technology, Xuzhou 221116, China
Yu L: State Key Laboratory for Geomechanics and Deep Underground Engineering, China University of Mining and Technology, Xuzhou 221116, China
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Journal Name
Processes
Volume
6
Issue
7
Article Number
E94
Year
2018
Publication Date
2018-07-20
Published Version
ISSN
2227-9717
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PII: pr6070094, Publication Type: Journal Article
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LAPSE:2018.0386
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doi:10.3390/pr6070094
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Jul 31, 2018
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