Experimental evidence of scale-dependent hydraulic conductivity for fully developed turbulent flow in a single fracture

Qian, Jiazhong; Zhan, Hongbin; Luo, Shaohe; Zhang, Weidong

doi:10.1016/j.jhydrol.2007.03.015

Cited by 77 publications

(44 citation statements)

References 35 publications

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“…This behavior, observed also by other authors (Guimerà et al, 1995;Schulze-Makuch and Cherkauer, 1995;Rovey and Cherkauer, 1995;Bromley et al, 2004;Qian et al, 2007), can be described through a nonlinear regression fit as well as by a power law interpolation function. In particular this law is represented by the following relation, obtained in logarithmic scale: ln k = 0:081 ln R−10:02 ð9Þ with a determination coefficient R 2 = 0.944, as shown in Fig.…”

Section: Resultssupporting

confidence: 80%

Scaling analysis of hydraulic conductivity and porosity on a sandy medium of an unconfined aquifer reproduced in the laboratory

et al. 2010

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Section: Resultssupporting

confidence: 80%

Scaling analysis of hydraulic conductivity and porosity on a sandy medium of an unconfined aquifer reproduced in the laboratory

et al. 2010

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“…Critical values of Re can distinguish between the linear and nonlinear flow conditions [20,22,24,31,46,47]. The vector flow velocity V can be reduced to a onedimensional flow velocity along a fracture intersection:…”

Section: Non-darcy Flowmentioning

confidence: 99%

Effects of Hydraulic Gradient, Intersecting Angle, Aperture, and Fracture Length on the Nonlinearity of Fluid Flow in Smooth Intersecting Fractures: An Experimental Investigation

Fan

Zhao

2018

Geofluids

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This study experimentally investigated the nonlinearity of fluid flow in smooth intersecting fractures with a high Reynolds number and high hydraulic gradient. A series of fluid flow tests were conducted on one-inlet-two-outlet fracture patterns with a single intersection. During the experimental tests, the syringe pressure gradient was controlled and varied within the range of 0.20-1.80 MPa/m. Since the syringe pump used in the tests provided a stable flow rate for each hydraulic gradient, the effects of hydraulic gradient, intersecting angle, aperture, and fracture length on the nonlinearities of fluid flow have been analysed for both effluent fractures. The results showed that as the hydraulic gradient or aperture increases, the nonlinearities of fluid flow in both the effluent fractures and the influent fracture increase. However, the nonlinearity of fluid flow in one effluent fracture decreased with increasing intersecting angle or increasing fracture length, as the nonlinearity of fluid flow in the other effluent fracture simultaneously increased. In addition, the nonlinearities of fluid flow in each of the effluent fractures exceed that of the influent fracture.

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“…Lomize, 1951;Louis, 1969;Qian et al, 2005Qian et al, , 2007Qian et al, , 2011Wen et al, 2006). Tortuosity, which usually characterizes the ratio of the effective path length connecting two locations in porous media to the geometric distance (Tenchine and Gouze, 2005), has been found to significantly affect fluid flow in fractured media under certain conditions (Tsang, 1984;Wang and Narasimhan, 1985).…”

Section: Cherubini Et Al: Bench Scale Laboratory Tests To Analyzementioning

confidence: 99%

Bench scale laboratory tests to analyze non-linear flow in fractured media

Cherubini

Giasi

Pastore

2012

Hydrol. Earth Syst. Sci.

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Abstract. The knowledge of flow phenomena in fractured rocks is very important for groundwater resources management in hydrogeological engineering.A critical emerging issue for fractured aquifers is the validity of the Darcian-type "local cubic law", which assumes a linear relationship between flow rate and pressure gradient to accurately describe flow patterns.Experimental data obtained under controlled conditions such as in a laboratory increase our understanding of the fundamental physics of fracture flow and allow us to investigate the presence of non-linear flow inside fractures that generates a substantial deviation from Darcy's law.In this study the presence of non-linear flow in a fractured rock formation has been analyzed at bench scale in laboratory tests. The effects of non-linearity in flow have been investigated by analyzing hydraulic tests on an artificially created fractured rock sample of parallelepiped (0.60 × 0.40 × 0.8 m) shape.The volumes of water passing through different paths across the fractured sample for various hydraulic head differences have been measured, and the results of the experiments have been reported as specific flow rate vs. head gradient. The experimental results closely match the Forchheimer equation and describe a strong inertial regime. The results of the test have been interpreted by means of numerical simulations. For each pair of ports, several steady-state simulations have been carried out varying the hydraulic head difference between the inlet and outlet ports. The estimated linear and non-linear Forchheimer coefficients have been correlated to each other and respectively to the tortuosity of the flow paths.A correlation among the linear and non-linear Forchheimer coefficients is evident. Moreover, a tortuosity factor that influences flow dynamics has been determined.

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Experimental evidence of scale-dependent hydraulic conductivity for fully developed turbulent flow in a single fracture

Cited by 77 publications

References 35 publications

Scaling analysis of hydraulic conductivity and porosity on a sandy medium of an unconfined aquifer reproduced in the laboratory

Scaling analysis of hydraulic conductivity and porosity on a sandy medium of an unconfined aquifer reproduced in the laboratory

Effects of Hydraulic Gradient, Intersecting Angle, Aperture, and Fracture Length on the Nonlinearity of Fluid Flow in Smooth Intersecting Fractures: An Experimental Investigation

Bench scale laboratory tests to analyze non-linear flow in fractured media

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