Please use this identifier to cite or link to this item: http://hdl.handle.net/2440/124808
Type: Thesis
Title: Quantification of Linear and Non-Linear Flow Behaviours in a Rock Fracture with Complex Void Geometry
Author: Wang, Zhihe
Issue Date: 2019
School/Discipline: School of Civil, Environmental and Mining Engineering
Abstract: Understanding the process of fluid flow through fractured rock in subsurface engineering applications has been an active field of research for decades. Accurate modelling of the process is essential to providing guidance for the development of underground projects and reduction of associated risks. This work focuses on the study of flow behaviours in a single rock fracture with complex void geometry, which is fundamental to larger scale flow-related problems in fractured rocks. In this research, the effects of aperture variation, tortuosity and local roughness of fracture surfaces are quantified over segmented areas to develop a more accurate modified cubic law that improves flow prediction in rock fractures with rough walls. To account for the flow non-linearity when inertial effects become significant, new approximate analytical solutions of two-dimensional (2D) Navier-Stokes equations are derived under both the pressure boundary condition (PBC) and flow rate boundary condition (FBC) using the perturbation method. Considering the slowly varying feature of fracture apertures, the ratio of aperture variation to fracture length, instead of the commonly used ratio of mean aperture to fracture length, is used as the perturbation parameter in our solutions. The derived solutions are applied to 2D symmetric wedges and sinusoidal fractures, and it is found that the FBC solution provides more accurate flow estimations, due to a more precise quantification of inertial effects. The derived FBC solution is then extended to asymmetric geometries for more realistic representations of fracture voids at pore-scale. A non-linear Reynolds equation is then developed based on the derived FBC solution for rough rock fractures and results have shown a close agreement with both experiments and flow simulations in capturing the non-linear feature of flow through the fracture.
Advisor: Xu, Chaoshui
Dowd, Peter
Dissertation Note: Thesis (Ph.D.) -- University of Adelaide, School of Civil, Environmental and Mining Engineering, 2019
Keywords: Fluid flow
rock fracture
cubic law
Reynolds equation
perturbation solution
Provenance: This electronic version is made publicly available by the University of Adelaide in accordance with its open access policy for student theses. Copyright in this thesis remains with the author. This thesis may incorporate third party material which has been used by the author pursuant to Fair Dealing exceptions. If you are the owner of any included third party copyright material you wish to be removed from this electronic version, please complete the take down form located at: http://www.adelaide.edu.au/legals
Appears in Collections:Research Theses

Files in This Item:
File Description SizeFormat 
Wang2019_PhD.pdf4.05 MBAdobe PDFView/Open


Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.