A fractal model based on a new governing equation of fluid flow in fractures for characterizing hydraulic properties of rock fracture networks

Liu, Richeng; Li, Bo; Jiang, Yujing

doi:10.1016/j.compgeo.2016.01.025

Cited by 123 publications

(51 citation statements)

References 52 publications

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“…Rougher surfaces, more fracture intersections and larger apertures, however, can cause flow to be non-linear even below Jc. Nonetheless, the application of the cubic law below this threshold still yielded sufficiently applicable results in most cases [44].…”

Section: Influence Of Hydraulic Gradientmentioning

confidence: 99%

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On the cubic law and variably saturated flow through discrete open rough-walled discontinuities

Dippenaar

Rooy

2016

International Journal of Rock Mechanics and Mining Sciences

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Highlights• The role of the fractured intermediate vadose zone is becoming increasingly important.• Discontinuity geometry affects flow, most notably due to changes in aperture, roughness and infill.• The applicability of the cubic law is often queried.• Better understanding will contribute to issues of slope and excavation stability and contaminant transport.• Open questions requiring addressing concluded the paper. Abstract:Fracture flow is fairly well documented with the widespread application of, for instance, the cubic law and assumed smooth parallel plate model.Geometrical intricacies such as aperture, roughness and infill do however significantly influence the validity of the cubic law with even its application to smooth parallel systems being contestable. Rock mechanical discontinuity surveys provide valuable information regarding the discontinuity geometry that can likely contribute to the evaluation of flow through individual fractures with variable properties. The hydraulic aperture is available for the transmission of flow, while normal and shear stresses alter discontinuity properties over time. In this, numerous advances have been made to better accommodate deviations of natural discontinuity geometry to that of smooth parallel plates and at partial saturation. The paper addresses these advances and details conditions under which the cubic law, even in local form, fails to adequately estimate the

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Section: Influence Of Hydraulic Gradientmentioning

confidence: 99%

“… Numerous authors have highlighted the possible from the cubic nature of the law through, for instance, recommended e 6-Dt where Dt is a number between one and two related to flow tortuosity [44], e 5 for the quantic law, or as high as e 13 [50].…”

Section: Modifications To the Cubic Lawmentioning

confidence: 99%

On the cubic law and variably saturated flow through discrete open rough-walled discontinuities

Dippenaar

Rooy

2016

International Journal of Rock Mechanics and Mining Sciences

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“…Therefore, the development degree of cracks in the coal seam floor has an important influence on the prediction of floor water inrush, the guidance of the mining face, and the layout of the mining roadway [24,25].…”

Section: Fault-water Transmission Ability (C2)mentioning

confidence: 99%

Intelligent Evaluation System of Water Inrush in Roadway (Tunnel) and Its Application

Shi

Xie

Wen

et al. 2018

Water

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Abstract:The risk assessment of mine water inrush is a complicated theoretical and technical problem that concerns hydrogeology conditions, engineering geology, mining conditions, rock mechanics, etc. To address this problem, a software system for the risk assessment of mine water inrush was established. From the matter-element extension theory, combined with the entropy-weight method, a matter-element extension entropy-weight model was constructed to evaluate mine safety. Eleven indices were determined based on the principles of science, rationality, operability, and representation, and each index was quantitatively graded. This system had built-in abundant cases of typical mine water inrush so users could determine the value of the parameter according to the analogy of water inrush cases with similar conditions. Combined with the analysis of typical water inrush cases, a database of water control measures with a strong advisory function was established. Finally, through the case study of a typical mine, it was found that the results of this study agreed with the practical ones, indicating that this system could improve the accuracy and availability of the risk assessment of mine water inrush.

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“…fD C ln ψ = (5) Equation (3) is the pressure drop of a well with an infinite-conductivity fracture in the PSS flow regime [11]. The second term in Equation (2), f(CfD), is the additional pressure drop caused by the effect of fracture conductivity.…”

Section: Introductionmentioning

confidence: 99%

“…Hydraulic fracturing has been widely used to enhance oil and gas recovery [1][2][3][4][5][6][7][8][9]. Some models have been introduced to describe fluid flow in hydraulic fractures, such as the uniform-flux fracture model [10][11][12], infinite-conductivity fracture model [10,13,14], and the finite-conductivity fracture model [15][16][17][18][19].…”

Section: Introductionmentioning

confidence: 99%

A New Pseudo Steady-State Constant for a Vertical Well with Finite-Conductivity Fracture

Cui

et al. 2018

Processes

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Abstract:The Pseudo Steady-State (PSS) constant b Dpss is defined as the difference between the dimensionless wellbore pressure and dimensionless average pressure of a reservoir with a PSS flow regime. As an important parameter, b Dpss has been widely used for decline curve analysis with Type Curves. For a well with a finite-conductivity fracture, b Dpss is independent of time and is a function of the penetration ratio of facture and fracture conductivity. In this study, we develop a new semi-analytical solution for b Dpss calculations using the PSS function of a circular reservoir. Based on the semi-analytical solution, a new conductivity-influence function (CIF) representing the additional pressure drop caused by the effect of fracture conductivity is presented. A normalized conductivity-influence function (NCIF) is also developed to calculate the CIF. Finally, a new approximate solution is proposed to obtain the b Dpss value. This approximate solution is a fast, accurate, and time-saving calculation.

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A fractal model based on a new governing equation of fluid flow in fractures for characterizing hydraulic properties of rock fracture networks

Cited by 123 publications

References 52 publications

On the cubic law and variably saturated flow through discrete open rough-walled discontinuities

On the cubic law and variably saturated flow through discrete open rough-walled discontinuities

Intelligent Evaluation System of Water Inrush in Roadway (Tunnel) and Its Application

A New Pseudo Steady-State Constant for a Vertical Well with Finite-Conductivity Fracture

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