2021
DOI: 10.1007/s10040-021-02415-y
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Size effect on the hydraulic behavior of fluid flow through rough-walled fractures: a case of radial flow

Abstract: This study provides a numerical approach to investigate radial flow through a single rough-walled fracture. To facilitate the size-dependency investigation, rough-walled fractures as large as 18 m were generated by using tiny cubes to mimic fracture asperities. Subsequently, a two-dimensional Reynolds equation was solved to simulate radial flow through the rough fractures with various fracture apertures and roughness values. The impact of normal stress on the hydraulic properties was incorporated by using a hy… Show more

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Cited by 6 publications
(3 citation statements)
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“…The modeling of fluid flow and solute transport in rock fractures is a key issue and should be explored to resolve a great number of geoengineering projects, such as the treatment of geothermal energy extraction [1][2][3], hydraulic splitting [4,5], groundwater pollutants [6], the disposal of nuclear waste [7], and the geological storage of CO 2 [8,9]. Current research on the non-Darcy and non-Fickian effects of solute transport in rock fracture flows focuses on the effects of fracture geometry, which facilitates access to the flow and transport behavior in the fracture [10][11][12]. Accordingly, as a result of these experiments on cross-fracture models, some fundamental mechanisms governing the flow and transport in rock fractures have been revealed [13,14].…”
Section: Introductionmentioning
confidence: 99%
“…The modeling of fluid flow and solute transport in rock fractures is a key issue and should be explored to resolve a great number of geoengineering projects, such as the treatment of geothermal energy extraction [1][2][3], hydraulic splitting [4,5], groundwater pollutants [6], the disposal of nuclear waste [7], and the geological storage of CO 2 [8,9]. Current research on the non-Darcy and non-Fickian effects of solute transport in rock fracture flows focuses on the effects of fracture geometry, which facilitates access to the flow and transport behavior in the fracture [10][11][12]. Accordingly, as a result of these experiments on cross-fracture models, some fundamental mechanisms governing the flow and transport in rock fractures have been revealed [13,14].…”
Section: Introductionmentioning
confidence: 99%
“…The identification of size dependence by Witherspoon et al (1979) gave rise to considerable research efforts to uncover the underlying aperture size effect on fluid flow through rough-walled fractures, the understanding of which has deepened significantly over the past four decades. However, the correlations between hydraulic properties and sample sizes remain somewhat obscure due to the complexity of samples and ambient conditions considered in the various studies (Raven and Gale 1985;Matsuki et al 2006;Ishibashi et al 2015;Zhong et al 2021b). Specifically, size dependence was found to be sensitive to fracture surface morphology and its resulting fracture aperture distribution.…”
Section: Introductionmentioning
confidence: 99%
“…Even though fractures in rock masses are often interconnected, the behavior of the flow through a single fracture should be understood in detail before more complicated field-scale fracture networks can be addressed (Brown et al, 1998;Cao et al, 2019;Konzuk and Kueper, 2004;Pyrak-Nolte et al, 1988;Xiong et al, 2011;Zhang and Nemcik, 2013;Zhong et al, 2022;Zimmerman and Yeo, 2000). To tackle the challenge of representing fractures in numerical models, we propose a method to accurately simulate fluid flow in fractures represented as an equivalent continuum at a numerically tractable scale (>>10-6 m).…”
Section: Introductionmentioning
confidence: 99%