Please use this identifier to cite or link to this item: http://hdl.handle.net/2440/113140
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Type: Journal article
Title: A Modified Cubic Law for single-phase saturated laminar flow in rough rock fractures
Author: Wang, Z.
Xu, C.
Dowd, P.
Citation: International Journal of Rock Mechanics and Mining Sciences, 2018; 103:107-115
Publisher: Elsevier
Issue Date: 2018
ISSN: 1365-1609
1873-4545
Statement of
Responsibility: 
Zhihe Wang, Chaoshui Xu, Peter Dowd
Abstract: The purpose of the study presented was to develop a Modified Cubic Law (MCL) for single-phase saturated laminar flow in rough rock fractures. Based on the fundamental assumptions made for the Cubic Law (CL), the proposed MCL incorporates modifications to the aperture field by considering flow tortuosity, aperture variation and local roughness effects. We assess the performance of the MCL by applying it to synthetic fractures with different surface roughness and varying aperture and compare the outputs to numerical simulation results from solving the Navier-Stokes Equations and results from previous versions of CL-based models. In general, the MCL performs well in predicting the volumetric flow rate in synthetic fractures with deviations (D) from simulation results ranging from −11.1% to 8.4% and an average effective deviation of 4.7%. The proposed model retains the simplicity of CL models and improves the accuracy of flow prediction in terms of single-phase saturated laminar flow in rough rock fractures and it can be extended to analyse other hydro-related problems.
Keywords: Modified Cubic Law; rough rock fractures; Navier-Stokes Equations; aperture field modification
Rights: © 2018 Elsevier Ltd. All rights reserved.
RMID: 0030083765
DOI: 10.1016/j.ijrmms.2017.12.002
Appears in Collections:Civil and Environmental Engineering publications

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