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Article

Effect of Shearing on Non-Darcian Fluid Flow Characteristics through Rough-Walled Fracture

by 1,2, 1,2,*, 1,2, 3, 3 and 4
1
Key Laboratory of Ministry of Education for Geomechanics and Embankment Engineering, Hohai University, Nanjing 210098, China
2
Institute of Geotechnical Engineering, Hohai University, Nanjing 210098, China
3
Huadong Engineering Corporation Limited, PowerChina, Hangzhou 310014, China
4
Department of Civil and Environmental Engineering, University of Waterloo, Waterloo, ON N2L 3G1, Canada
*
Author to whom correspondence should be addressed.
Water 2020, 12(11), 3260; https://doi.org/10.3390/w12113260
Received: 19 October 2020 / Revised: 18 November 2020 / Accepted: 18 November 2020 / Published: 20 November 2020
The heterogeneous fracture geometry induced by the presence of roughness and shearing complicates the fracture flow. This paper presents a numerical investigation of the non-Darcian flow characteristics of rough-walled fractures during shear processes. A series of fracture flow simulations were performed on four types of fractures with different joint roughness coefficients (JRCs), and the different shear displacements were imitated by degrees of mismatch on two fracture surfaces. The results show that the disorder of fracture geometries and the increase in flow rate are the main causes for the emergence of an eddy flow region, which can significantly reduce the fracture conductivity and change the fracture flow from linear to nonlinear. The Forchheimer equation provides a good model for the nonlinear relationship between the hydraulic gradient and the flow rate in the fracture flow. When the shear displacement or JRC increased, the linear permeability coefficient kv decreased, while the nonlinear coefficient β increased. A three-parameter equation of β was used to examine the inertial effect induced by the fracture roughness JRC and the variation coefficient of aperture distribution σs/em. The critical Reynolds number was a combined effect of aperture, viscous permeability, and inertial resistance, assuming the flow becomes non-Darcian when the inertial part is greater than 10%. View Full-Text
Keywords: non-Darcian flow; roughness; shear displacement; Forchheimer equation non-Darcian flow; roughness; shear displacement; Forchheimer equation
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MDPI and ACS Style

Li, B.; Xu, W.; Yan, L.; Xu, J.; He, M.; Xie, W.-C. Effect of Shearing on Non-Darcian Fluid Flow Characteristics through Rough-Walled Fracture. Water 2020, 12, 3260. https://doi.org/10.3390/w12113260

AMA Style

Li B, Xu W, Yan L, Xu J, He M, Xie W-C. Effect of Shearing on Non-Darcian Fluid Flow Characteristics through Rough-Walled Fracture. Water. 2020; 12(11):3260. https://doi.org/10.3390/w12113260

Chicago/Turabian Style

Li, Biao; Xu, Weiya; Yan, Long; Xu, Jianrong; He, Mingjie; Xie, Wei-Chau. 2020. "Effect of Shearing on Non-Darcian Fluid Flow Characteristics through Rough-Walled Fracture" Water 12, no. 11: 3260. https://doi.org/10.3390/w12113260

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