A fractal analysis of permeability for fractured rocks

Miao, Tongjun; Yu, Bo; Duan, Yonggang; Fang, Quantang

doi:10.1016/j.ijheatmasstransfer.2014.10.010

Cited by 238 publications

(141 citation statements)

References 39 publications

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“…Liu et al (2015) simulated fluid flow in fractalbased rock fracture networks with the fractal dimension of 1.3-1.6. Miao et al (2015b) derived the analytical expressions for the permeability of fracture networks based on the fractal length distribution of fractures. More advances on fractal properties of fracture systems can consult to the recent review works (Kruhl, 2013;Liu et al, 2016c).…”

Section: Fractal Properties Of Fracture Networkmentioning

confidence: 99%

“…Recently, Miao et al (2015b) developed a fractal scaling law for length distribution of fractures and a relationship between fractal dimension for fracture length and fracture area porosity. They also proposed a fractal permeability model for fractured rocks based on the fractal geometry and the cubic law for laminar flow in fractures.…”

Section: Relationships Between Fractal Dimension and Permeabilitymentioning

confidence: 99%

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Geometrical, fractal and hydraulic properties of fractured reservoirs: A mini-review

Wei

Xia

2017

Adv. Geo-Energ. Res.

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Fractures and fracture networks play an important role in fluid flow and transport properties of oil and gas reservoirs. Accurate estimation of geometrical characteristics of fracture networks and their hydraulic properties are two key research directions in the fields of fluids flow in fractured porous media. Recent works focusing on the geometrical, fractal and hydraulic properties of fractured reservoirs are reviewed and summarized in this mini-review. The effects of several important parameters that significantly influences hydraulic properties are specifically discussed and analyzed, including fracture length distribution, aperture distribution, boundary stress and anisotropy. The methods for predicting fractal dimension of fractures and models for fracture networks and fractured porous media based on fractal-based approaches are addressed. Some comments and suggestions are also given on the future research directions and fractal fracture networks as well as fractured porous media.

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Section: Fractal Properties Of Fracture Networkmentioning

confidence: 99%

Section: Relationships Between Fractal Dimension and Permeabilitymentioning

confidence: 99%

Geometrical, fractal and hydraulic properties of fractured reservoirs: A mini-review

Wei

Xia

2017

Adv. Geo-Energ. Res.

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“…22,23 In addition, the heterogeneity of reservoir layers have created and the in situ stress field in particular, a complex fracture network. 24,25 In order to stimulate the fracture geometry, therefore unconventional fracture model was developed.…”

Section: Introductionmentioning

confidence: 99%

Application of Fractal Geometry in Evaluation of Effective Stimulated Reservoir Volume in Shale Gas Reservoirs

Sheng

Javadpour

et al. 2017

Fractals

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According to hydraulic-fracturing practices conducted in shale reservoirs, effective stimulated reservoir volume (ESRV) significantly affects the production of hydraulic fractured well. Therefore, estimating ESRV is an important prerequisite for confirming the success of hydraulic fracturing and predicting the production of hydraulic fracturing wells in shale reservoirs. However, ESRV calculation remains a longstanding challenge in hydraulic-fracturing operation. In considering fractal characteristics of the fracture network in stimulated reservoir volume (SRV), § Corresponding author. This is an Open Access article published by World Scientific Publishing Company. It is distributed under the terms of the Creative Commons Attribution 4.0 (CC-BY) License. Further distribution of this work is permitted, provided the original work is properly cited. 1740007-1Fractals 2017.25. Downloaded from www.worldscientific.com by 13.66.222.141 on 04/09/19. Re-use and distribution is strictly not permitted, except for Open Access articles.G. Sheng et al. this paper introduces a fractal random-fracture-network algorithm for converting the microseismic data into fractal geometry. Five key parameters, including bifurcation direction, generating length (d), deviation angle (α), iteration times (N ) and generating rules, are proposed to quantitatively characterize fracture geometry. Furthermore, we introduce an orthogonal-fractures coupled dual-porosity-media representation elementary volume (REV) flow model to predict the volumetric flux of gas in shale reservoirs. On the basis of the migration of adsorbed gas in porous kerogen of REV with different fracture spaces, an ESRV criterion for shale reservoirs with SRV is proposed. Eventually, combining the ESRV criterion and fractal characteristic of a fracture network, we propose a new approach for evaluating ESRV in shale reservoirs. The approach has been used in the Eagle Ford shale gas reservoir, and results show that the fracture space has a measurable influence on migration of adsorbed gas. The fracture network can contribute to enhancement of the absorbed gas recovery ratio when the fracture space is less than 0.2 m. ESRV is evaluated in this paper, and results indicate that the ESRV accounts for 27.87% of the total SRV in shale gas reservoirs. This work is important and timely for evaluating fracturing effect and predicting production of hydraulic fracturing wells in shale reservoirs.

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“…Zheng et al 28 proposed a fractal permeability model for gas slippage factor in tight porous media, and the fractal permeability model for gas flow in matrix porous media coupled with fractured networks also was developed. 29 Miao et al 30 derived a fractal permeability model for fractured rocks.…”

Section: Introductionmentioning

confidence: 99%

A Fractal Permeability Model Coupling Boundary-Layer Effect for Tight Oil Reservoirs

et al. 2017

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A fractal permeability model coupling non-flowing boundary-layer effect for tight oil reservoirs was proposed. Firstly, pore structures of tight formations were characterized with fractal theory. Then, with the empirical equation of boundary-layer thickness, Hagen-Poiseuille equation and fractal theory, a fractal torturous capillary tube model coupled with boundary-layer effect was developed, and verified with experimental data. Finally, the parameters influencing effective liquid permeability were quantitatively investigated. The research results show that effective liquid permeability of tight formations is not only decided by pore structures, but also affected by boundary-layer distributions, and effective liquid permeability is the function of fluid type, fluid viscosity, pressure gradient, fractal dimension, tortuosity fractal dimension, minimum pore radius and maximum pore radius. For the tight formations dominated with nanoscale pores, boundary-layer effect can significantly reduce effective liquid permeability, especially under low pressure gradient.

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A fractal analysis of permeability for fractured rocks

Cited by 238 publications

References 39 publications

Geometrical, fractal and hydraulic properties of fractured reservoirs: A mini-review

Geometrical, fractal and hydraulic properties of fractured reservoirs: A mini-review

Application of Fractal Geometry in Evaluation of Effective Stimulated Reservoir Volume in Shale Gas Reservoirs

A Fractal Permeability Model Coupling Boundary-Layer Effect for Tight Oil Reservoirs

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