Journal ArticleDOI
The modified Reynolds equation for non-wetting fluid flow through a rough-walled rock fracture
TLDR
In this article, a modified Reynolds equation with a slip boundary condition is derived for non-wetting fluid flow through rough-walled fractures, and the experimental and numerical studies clearly show that as the aperture of the fracture became less than a few hundred microns, the modified Reynolds equations with slip boundary conditions provided a better model for flow of a nonwetted fluid through roughwalled fracture.About:
This article is published in Advances in Water Resources.The article was published on 2013-03-01. It has received 15 citations till now. The article focuses on the topics: Fluid dynamics & Reynolds stress.read more
Citations
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VALIDITY OF CUBIC LAW FOR FLUID FLOW IN A DEFORMABLE ROCK FRACTURE - eScholarship
Abstract: The validity of the cubic law for laminar flow of fluids through open fractures consisting of parallel planar plates has been established by others over a wide range of conditions with apertures ranging down to a minimum of 0.2 µm. The law may be given in simplified form by Q/Δh = C(2b)3, where Q is the flow rate, Δh is the difference in hydraulic head, C is a constant that depends on the flow geometry and fluid properties, and 2b is the fracture aperture. The validity of this law for flow in a closed fracture where the surfaces are in contact and the aperture is being decreased under stress has been investigated at room temperature by using homogeneous samples of granite, basalt, and marble. Tension fractures were artificially induced, and the laboratory setup used radial as well as straight flow geometries. Apertures ranged from 250 down to 4µm, which was the minimum size that could be attained under a normal stress of 20 MPa. The cubic law was found to be valid whether the fracture surfaces were held open or were being closed under stress, and the results are not dependent on rock type. Permeability was uniquely defined by fracture aperture and was independent of the stress history used in these investigations. The effects of deviations from the ideal parallel plate concept only cause an apparent reduction in flow and may be incorporated into the cubic law by replacing C by C/ƒ. The factor ƒ varied from 1.04 to 1.65 in these investigations. The model of a fracture that is being closed under normal stress is visualized as being controlled by the strength of the asperities that are in contact. These contact areas are able to withstand significant stresses while maintaining space for fluids to continue to flow as the fracture aperture decreases. The controlling factor is the magnitude of the aperture, and since flow depends on (2b)3, a slight change in aperture evidently can easily dominate any other change in the geometry of the flow field. Thus one does not see any noticeable shift in the correlations of our experimental results in passing from a condition where the fracture surfaces were held open to one where the surfaces were being closed under stress.
Journal Article
Two-Phase Flow in Porous Media with Slip Boundary Condition
TL;DR: In this paper, a slip-boundary condition for the pore-scale flow was proposed, which predicts that the flux increase due to slip depends on the equivalent capillary radius of the flow channels.
Journal ArticleDOI
Effect of fluid slippage on eddy growth and non-Darcian flow in rock fractures
TL;DR: In this paper, the authors systematically investigated the slippery flow behaviors in rock fractures under sequentially increasing pressure gradients, and two competing mechanisms impacting the apparent permeability (k) due to fluid slippage were revealed: the increment in k caused by slip velocity initially dominated over the decrement caused by eddy growth.
Characterization of anisotropy in organic-rich shales: Shear and tensile failure, wave velocity, matrix and fracture permeability
TL;DR: In this article, the impact of laminations and fractures on elastic properties, shear and tensile failures, and the permeability of organic-rich shales was determined by using Brazilian testing on Green River, Mancos and Niobrara shales.
Journal ArticleDOI
Experimental Study of Fracturing Fluid Retention in Rough Fractures
Yanjun Zhang,Hongkui Ge,Liu Guangyu,Yinghao Shen,Chen Hao,Jianbo Wang,Dunqing Liu,Zehui Huang +7 more
TL;DR: In this paper, an experimental facility was established for studying the fluid retention in fractures using an improved conductivity apparatus, and the fluid trapped in rough fractures was measured and the dynamic changes of the drainage volume and rate under various apertures were analyzed.
References
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Journal ArticleDOI
Validity of Cubic Law for fluid flow in a deformable rock fracture
TL;DR: The validity of the cubic law for laminar flow of fluids through open fractures consisting of parallel planar plates has been established by others over a wide range of conditions with apertures ranging down to a minimum of 0.2 µm.
VALIDITY OF CUBIC LAW FOR FLUID FLOW IN A DEFORMABLE ROCK FRACTURE - eScholarship
Abstract: The validity of the cubic law for laminar flow of fluids through open fractures consisting of parallel planar plates has been established by others over a wide range of conditions with apertures ranging down to a minimum of 0.2 µm. The law may be given in simplified form by Q/Δh = C(2b)3, where Q is the flow rate, Δh is the difference in hydraulic head, C is a constant that depends on the flow geometry and fluid properties, and 2b is the fracture aperture. The validity of this law for flow in a closed fracture where the surfaces are in contact and the aperture is being decreased under stress has been investigated at room temperature by using homogeneous samples of granite, basalt, and marble. Tension fractures were artificially induced, and the laboratory setup used radial as well as straight flow geometries. Apertures ranged from 250 down to 4µm, which was the minimum size that could be attained under a normal stress of 20 MPa. The cubic law was found to be valid whether the fracture surfaces were held open or were being closed under stress, and the results are not dependent on rock type. Permeability was uniquely defined by fracture aperture and was independent of the stress history used in these investigations. The effects of deviations from the ideal parallel plate concept only cause an apparent reduction in flow and may be incorporated into the cubic law by replacing C by C/ƒ. The factor ƒ varied from 1.04 to 1.65 in these investigations. The model of a fracture that is being closed under normal stress is visualized as being controlled by the strength of the asperities that are in contact. These contact areas are able to withstand significant stresses while maintaining space for fluids to continue to flow as the fracture aperture decreases. The controlling factor is the magnitude of the aperture, and since flow depends on (2b)3, a slight change in aperture evidently can easily dominate any other change in the geometry of the flow field. Thus one does not see any noticeable shift in the correlations of our experimental results in passing from a condition where the fracture surfaces were held open to one where the surfaces were being closed under stress.
Journal ArticleDOI
Hydraulic conductivity of rock fractures
TL;DR: In this article, the authors derived the cubic law of the Navier-Stokes equations for flow between smooth, parallel plates and showed that the effective hydraulic aperture is less than the mean aperture, by a factor that depends on the ratio of the mean value of the aperture to its standard deviation.
Journal ArticleDOI
Laminar drag reduction in microchannels using ultrahydrophobic surfaces
TL;DR: In this paper, a series of experiments are presented which demonstrate significant drag reduction for the laminar flow of water through microchannels using hydrophobic surfaces with well-defined micron-sized surface roughness.
Journal ArticleDOI
Wettability and Its Effect on Oil Recovery
TL;DR: In this paper, the authors considered the relationship between reservoir wettability and its relationship to interface boundary con- ditions, and the effect of reservoir wetness on oil recovery.
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