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A pore-scale numerical model for non-Darcy fluid flow through rough-walled fractures
Institution:1. College of Petroleum Engineering, China University of Petroleum (East China), Qingdao 266580, China;2. Department of Civil and Environment Engineering, Colorado School of Mines, Golden 80401, USA.;1. State Key Laboratory of Water Resources and Hydropower Engineering Science, Wuhan University, Wuhan 430072, China;2. School of Resource and Environment Engineering, Wuhan University of Technology, Wuhan 430070, China;3. School of Civil Engineering and Architecture, Nanchang University, Nanchang 330031, China
Abstract:This paper aims at developing a pore-scale numerical model for non-Darcy fluid flow through rough-walled fractures. A simple general relationship between the local hydraulic conductivity and the flow velocity is proposed. A new governing equation for non-Darcy fluid flow through rough-walled fractures is then derived by introducing this relationship into the Reynolds equation. Based on the non-linear finite element method, a self-developed code is used to simulate the non-Darcy fluid flow through fractures. It is found that the macroscopic results obtained by the numerical simulation agree well with the experimental results. Furthermore, some interesting experimental observations can be reproduced.
Keywords:Non-Darcy flow  Pore-scale  Seepage  Fracture  Numerical  Model
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