A fractal permeability model for 2D complex tortuous fractured porous media

Wang, Fuyong; Cheng, Hui

doi:10.1016/j.petrol.2020.106938

Cited by 53 publications

(12 citation statements)

References 31 publications

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“…Recently, Xiao et al [26] presented a fractal model for Kozeny-Carman constant and dimensionless permeability of fibrous porous media by considering the influence of the roughness of capillaries surface. Wang et al [33] proposed a new permeability model for 2D complex tortuous fractured porous media on a basis of fractal-like tree fracture network model and the cubic law but neglected the impact of surface roughness of capillaries. The concept about apparent gas permeability was initially proposed by Javadpour el at.…”

Section: Modelmentioning

confidence: 99%

An Apparent Gas Permeability Model for Real Gas Flow in Fractured Porous Media with Roughened Surfaces

Wang

2021

Polymers

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The investigation of gas transport in fractured porous media is essential in most petroleum and chemical engineering. In this paper, an apparent gas permeability model for real gas flow in fractured porous media is derived with adequate consideration of real gas effect, the roughness of fracture surface, and Knudsen diffusion based on the fractal theory. The fractal apparent gas permeability model is obtained to be a function of micro-structural parameters of fractured porous media, relative roughness, the pressure, the temperature, and the properties of gas. The predictions from the apparent gas permeability model based on the fractal theory match well with the published permeability model and experimental data, which verifies the rationality of the present fractal apparent gas permeability model.

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Section: Modelmentioning

confidence: 99%

An Apparent Gas Permeability Model for Real Gas Flow in Fractured Porous Media with Roughened Surfaces

Wang

2021

Polymers

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“…Liu et al 19 stated that viscosity reflected the resistance to fluid flow at given differential pressures and that the main influencing factors were pressure, temperature, and fluid type. Wang and Cheng 35 developed a dual-pore model that examined the effects of pressure on gas's viscosity by showing that a decrease in gas's viscosity increased the percolation and depressurization rates of free-state shale gas in the matrix and fractures. Li et al 36 proposed a lattice Boltzmann model, based on which Bosanquet-type effective viscosity was used to account for the dilution effects of gas's viscosity.…”

Section: Introductionmentioning

confidence: 99%

Study of Changes in Apparent Permeability in Shale’s Complex Microfracture Networks

Ding,

Li,

et al. 2023

Ind. Eng. Chem. Res.

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The microfracture structure in the reservoirs of shale has a strong influence on gas transport. To depict the transport characteristics of shale gas in widely developed microfractures, this paper has constructed a shale apparent permeability model based on fractal theory. Shale's microfracture structure was first identified as a bifurcation network, with the effects of effective stress and gas adsorption considered to obtain the dynamic fractal dimension definition equation. Effective viscosity was corrected by employing weighting factors relating to continuum flow viscosity and Knudsen diffusion viscosity. Finally, an apparent permeability model for shale was established by combining the three transport mechanisms of continuum flow, Knudsen's diffusion, and surface diffusion. The model was validated. The results showed that the viscosity flow rate of continuum flow and Knudsen diffusion increased under increasing pore pressure, revealing that the effect of a microfracture bifurcation network on shale's permeability was significant when shale gas was transported.

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“…Miao et al (2018) takes into account the aperture ratio, length ratio, branch number, and bifurcation level of fractures and proposes an analytical expression for dimensionless permeability of damaged tree bifurcation networks. Wang and Cheng (2020) established a fractal permeability model of a two-dimensional curved tree fracture network. However, the relationship between the structural parameters of the bifurcation fracture network and permeability is unclear in their study.…”

Section: Introductionmentioning

confidence: 99%

Study on coalbed methane flow characteristics based on fractal bifurcation fracture network model

Jiang

Xia²,

Peng³

et al. 2023

Front. Earth Sci.

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The geometric structure and distribution of the fracture network significantly impact the coalbed methane flow characteristics. The indoor optical microscope test is utilized to analyze the distribution and structural characteristics of natural fractures in coal. The results indicate that the fracture network in coal consists primarily of irregular bifurcated fractures, but the influence of the bifurcation fracture network’s structural characteristics on permeability remains unclear. Therefore, the fracture network geometric structure characteristic parameters are considered in accordance with the fractal theory, and the analytical formula of the bifurcation fracture network permeability is established. Meanwhile, the bifurcation fracture network geometric model with varied structural parameters is reconstructed using the pixel probability decomposition algorithm. Finally, the influence of the key parameters of the reconstructed bifurcation fracture network on the coal seam permeability is analyzed through numerical simulation. The results indicate that the permeability of the bifurcated fracture network increases with the increase of fracture porosity φf, aperture ratio χ, and proportionality coefficient η, and decreases with the increase of tortuosity fractal dimension DT, bifurcation angle θ, fractal dimension Df, and bifurcation level n. Among them, fracture porosity and proportionality coefficient have the greatest influence on permeability, followed by tortuosity fractal dimension, aperture ratio.

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A fractal permeability model for 2D complex tortuous fractured porous media

Cited by 53 publications

References 31 publications

An Apparent Gas Permeability Model for Real Gas Flow in Fractured Porous Media with Roughened Surfaces

An Apparent Gas Permeability Model for Real Gas Flow in Fractured Porous Media with Roughened Surfaces

Study of Changes in Apparent Permeability in Shale’s Complex Microfracture Networks

Study on coalbed methane flow characteristics based on fractal bifurcation fracture network model

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