Fractal Characterization of Dynamic Fracture Network Extension in Porous Media

Cai, Jianchao; Hu, Xiangyun; Liu, Richeng; Wang, Jinjie

doi:10.1142/s0218348x17500232

Cited by 154 publications

(67 citation statements)

References 57 publications

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“…As we discussed in above section, fractal dimension is one of most important parameters to quantitatively characterize the complexity of fractures. However, fractal dimension is sensitive to prediction methods, even some irrational values may be obtained (Roy et al, 2007;Cai et al, 2017).…”

Section: Discussion and Future Workmentioning

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: Discussion and Future Workmentioning

confidence: 99%

“…Fractal dimension of (a), including the whole range of data points (s = 0.071) and those for which r > r cmin were turned off (s = 0.008) (Cai et al, 2017).…”

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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“…Irregular fractals refer to randomly generated nonsmooth fractal objects that have statistical self-similarity. Porous media are a kind of irregular fractal object, the fractal research of which has been various [36][37][38][39][40].…”

Section: The Concept Of "Fractals"mentioning

confidence: 99%

Flow Simulation of Artificially Induced Microfractures Using Digital Rock and Lattice Boltzmann Methods

Yang

Liu

et al. 2018

Energies

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Abstract:Microfractures have great significance in the study of reservoir development because they are an effective reserving space and main contributor to permeability in a large amount of reservoirs. Usually, microfractures are divided into natural microfractures and induced microfractures. Artificially induced rough microfractures are our research objects, the existence of which will affect the fluid-flow system (expand the production radius of production wells), and act as a flow path for the leakage of fluids injected to the wells, and even facilitate depletion in tight reservoirs. Therefore, the characteristic of the flow in artificially induced fractures is of great significance. The Lattice Boltzmann Method (LBM) was used to calculate the equivalent permeability of artificially induced three-dimensional (3D) fractures. The 3D box fractal dimensions and porosity of artificially induced fractures in Berea sandstone were calculated based on the fractal theory and image-segmentation method, respectively. The geometrical parameters (surface roughness, minimum fracture aperture, and mean fracture aperture), were also calculated on the base of digital cores of fractures. According to the results, the permeability lies between 0.071-3.759 (dimensionless LB units) in artificially induced fractures. The wide range of permeability indicates that artificially induced fractures have complex structures and connectivity. It was also found that 3D fractal dimensions of artificially induced fractures in Berea sandstone are between 2.247 and 2.367, which shows that the artificially induced fractures have the characteristics of self-similarity. Finally, the following relations were studied: (a) exponentially increasing permeability with increasing 3D box fractal dimension, (b) linearly increasing permeability with increasing square of mean fracture aperture, (c) indistinct relationship between permeability and surface roughness, and (d) linearly increasing 3D box fractal dimension with increasing porosity.

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“…However, what kind of distribution of remaining oil generally appears, and what kind of remaining oil has potential for exploitation, need to be further studied. Therefore, a thorough understanding of transport properties in porous materials and their dependence on pore geometry is critical (Cai et al, 2010;Wei et al, 2015;Cai et al, 2017a;Cai et al, 2017b). Several measurements of the oil cluster distribution have been performed in many papers.…”

Section: Introductionmentioning

confidence: 99%

Pore-scale remaining oil distribution under different pore volume water injection based on CT technology

Liu

Yang

et al. 2017

Adv. Geo-Energ. Res.

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A water-injection experiment was performed on a water-wet reservoir core plug that was filled with brine first and then displaced by synthetic oil. A X-ray Computed Tomography (CT) was used to take snapshots of the process of oil-water displacement at predefined time intervals to characterize the distribution of remaining oil. The quasi-real time images were used to understand the pore-scale phase displacement mechanisms and the distributional pattern of the remaining oil. Four forms of the distributional patterns, i.e. network, porous, isolated and film shape, were observed and analyzed with respect to the injected pore volumes (PV). The results show that with the increased level of water injection, the volume of the oil phase continuously decreases, and the morphology of the oil phase changes from initial continuous network-like to film shape forms. At 15 pore volumes (PV), the network-like remaining oil disappears and transforms into isolated and film-like forms. The statistics of the volume for each form of the remaining oil show that the isolated blobs increase with increasing water injection, by contrast, the average volume of the remaining oil decreases with increasing water injection. The rate of volumetric changes is fast before 5 PV but slow in the later period.Keywords: CT, pore scale, digital core, remaining oil distribution, quasi real time.Citation: Liu, Z., Yang, Y., Yao, J., et al. Pore-scale remaining oil distribution under different pore volume water injection based on CT technology.

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Fractal Characterization of Dynamic Fracture Network Extension in Porous Media

Cited by 154 publications

References 57 publications

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

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

Flow Simulation of Artificially Induced Microfractures Using Digital Rock and Lattice Boltzmann Methods

Pore-scale remaining oil distribution under different pore volume water injection based on CT technology

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