Fractal analysis of permeability of dual-porosity media embedded with random fractures

Miao, Tongjun; Yang, Shanshan; Long, Zhilin; Yu, Bo

doi:10.1016/j.ijheatmasstransfer.2015.05.004

Cited by 110 publications

(53 citation statements)

References 53 publications

(99 reference statements)

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“…Researchers found that the distribution of pores in porous matrix show fractal properties (Yu and Cheng 2002;Yu et al 2005Yu et al , 2009Cai et al 2010;Miao et al 2014), and other researchers verified that the fracture distribution in fractured rock masses also exhibits fractal characteristics at both the macro-structural (i.e., geometry of fracture networks; Berkowitz and Hadad 1997;Babadagli 2001;Bagde et al 2002;Jiang et al 2006a;Kruhl 2013;Miao et al 2015a) and micro-structural (i.e., geometry of single fractures; Odling 1994; Kulatilake et al 1995;Babadagli and Develi 2003;Jiang et al 2006b;Askari and Ahmadi 2007;Li Y and Huang 2015;Babadagli et al 2015) levels.…”

Section: Permeability and Fracture-length Distributionmentioning

confidence: 94%

“…Although the previous works (Liu et al 2015;Miao et al 2015a) have successfully verified that the size distribution of fracture length follows the fractal scaling law, it is still unclear whether the size distribution of fracture aperture exhibits fractal characteristics. It is interesting to incorporate fractal dimensions into the mathematical expressions for characterizing the aperture distributions in future studies.…”

Section: Permeability and Aperture Distributionmentioning

confidence: 98%

“…To solve this problem, Miao et al (2015a) developed an analytical fractal model to link the fracture network permeability to the fractal dimension of fracture length distribution, fracture area porosity, fracture azimuth, fracture dip angle, and the ratio of the maximum to the minimum length of fractures, written as:…”

Section: Permeability and Fracture-length Distributionmentioning

confidence: 99%

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Review: Mathematical expressions for estimating equivalent permeability of rock fracture networks

et al. 2016

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Fracture networks play a more significant role in conducting fluid flow and solute transport in fractured rock masses, comparing with that of the rock matrix. Accurate estimation of the permeability of fracture networks would help researchers and engineers better assess the performance of projects associated with fluid flow in fractured rock masses. This study provides a review of previous works that have focused on the estimation of equivalent permeability of twodimensional (2-D) discrete fracture networks (DFNs) considering the influences of geometric properties of fractured rock masses. Mathematical expressions for the effects of nine important parameters that significantly impact on the equivalent permeability of DFNs are summarized, including (1) fracturelength distribution, (2) aperture distribution, (3) fracture surface roughness, (4) fracture dead-end, (5) number of intersections, (6) hydraulic gradient, (7) boundary stress, (8) anisotropy, and (9) scale. Recent developments of 3-D fracture networks are briefly reviewed to underline the importance of utilizing 3-D models in future research.

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Section: Permeability and Fracture-length Distributionmentioning

confidence: 94%

Section: Permeability and Aperture Distributionmentioning

confidence: 98%

Section: Permeability and Fracture-length Distributionmentioning

confidence: 99%

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Review: Mathematical expressions for estimating equivalent permeability of rock fracture networks

et al. 2016

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“…Besides the fractal scale characters of pores and streamlines in natural porous media, fractures and fracture networks in porous media are also verified to be fractals at micro-structural and the macro-structural levels (Babadagli, 2001;Askari and Ahmadi, 2007;Sahimi, 2011;Miao et al, 2015a). Okubo and Aki (1987) reported that the fractal dimensions are in the range of 1.12-1.43 for the San Andreas Fault based on the fractures in a 30 km wide range.…”

Section: Fractal Properties Of Fracture Networkmentioning

confidence: 96%

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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“…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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Fractal analysis of permeability of dual-porosity media embedded with random fractures

Cited by 110 publications

References 53 publications

Review: Mathematical expressions for estimating equivalent permeability of rock fracture networks

Review: Mathematical expressions for estimating equivalent permeability of rock fracture networks

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

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