Study on Evolution of Fractal Dimension for Fractured Coal Seam Under Multi-Field Coupling

Liu, Guannan; Yu, Bo; Ye, Dayu; Gao, Feng; Liu, Jishan

doi:10.1142/s0218348x20500723

Cited by 34 publications

(9 citation statements)

References 25 publications

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“…Huang et al used fractal porosity and permeability to describe the nonuniform distribution of a complex fault network [17]. Liu and Yu considered the influence of the fracture pore structure, constructed a multifield coupling mechanical model, and further studied the fractal dimension evolution mechanism of coal seam fractures [22]. Riley applied the correlation dimension to quantitatively quantify the fracture spacing of nonlayered rocks.…”

Section: Introductionmentioning

confidence: 99%

Fractal Description of Rock Fracture Networks Based on the Space Syntax Metric

Sui

Wang

et al. 2022

Fractal Fract

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Fractal characteristics and the fractal dimension are widely used in the description and characterization of rock fracture networks. They are important tools for coal mining, oil and gas transportation, and other engineering problems. However, due to the complexity of rock fracture networks and the difficulty in directly applying the limit definition of the fractal dimension, the definition and application of the fractal dimension have become hot topics in related projects. In this paper, the traditional fractal calculation methods were reviewed. Using the traditional fractal theory and the head/tail breaks method, a new fractal dimension quantization model was established as a simple method of fractal calculation. This simple method of fractal calculation was used to calculate the fractal dimensions of three rock fracture networks. Through comparison with the box-counting dimension calculation results, it was verified that the model could calculate the fractal dimension of the fracture length of rock fracture networks, as well as quantify it accurately and effectively. In addition, we found a number of similarities between rock fracture networks and urban road traffic networks in GIS. The application of the space syntax metric to rock fracture networks prevents controversy with respect to the definition of the axis and it showed a good effect. Using the space syntax metric as a parameter can better reflect the space relationship of rock fractures than length. Through the calculation of the fractal dimension of the connection value and control value, it was found that the trend of the length fractal dimension was the same as that of the control value, whereas the fractal dimension of the connection value was the opposite. This further verifies the applicability of the space syntax metric in rock fracture networks.

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Section: Introductionmentioning

confidence: 99%

Fractal Description of Rock Fracture Networks Based on the Space Syntax Metric

Sui

Wang

et al. 2022

Fractal Fract

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“…The fractal theory has drawn lots of attention to characterize the complexity of porous media in the past decades [23][24][25][26][27][28][29][30]. Gao et al [31] examined the multifractal property of microstructure in cement paste by using X-ray computed tomography to acquire the realistic three-dimensional microstructure.…”

Section: Introductionmentioning

confidence: 99%

Effects of microstructure on compressive strength of silica sand-enhanced oil well cement at a wide temperature range

Chen

Du²,

Zhou³

et al. 2022

R. Soc. open sci.

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The influence of microstructure of silica-enhanced cement on the mechanical performance of cement is difficult to describe. In this study, we used the scanning electron microscope and image processing method to investigate the relationship between the complicity of cement microstructure and compressive strength under various temperatures and curing times. Fractal dimension was applied to describe the complicity of silica-enhanced cement. The relationships among compressive strength, fractal dimension, temperature, curing time and pore structure of cement were identified. The results show that curing time directly controls the complicity of microstructure of silica-enhanced cement and compressive strength by altering the pore orientation and macropore ratio in silica-enhanced cement. The curing temperature affects the complicity of cement microstructure and compressive strength indirectly by changing the ratio of micropore and small pore. The fractal dimension of silica-enhanced cement shows good correlation with compressive strength. Pore size distribution is the most important factor that influences the complicity of cement matrix and compressive strength of silica-enhanced cement. When building up the macroscopic mechanical performance model of silica-enhanced cement, we should consider the influence of pore size distribution in cement under different curing temperatures and times on the complicity of cement microstructure.

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“…Li et al [24,25] developed a fully coupled multidomain multiphysics model to simulate the interactions between the fractured, nonfractured, and hydraulic fracture domains, taking into account the differences in properties and interactions between the fractured, nonfractured, and hydraulic fracture domains. Liu et al [26][27][28] characterized pores and fractures by fractal dimension of pore, fractal dimension of curved capillary, and fractal dimension of fracture length. Coupled the fractal theory of porous media with the multifield model of coal seam, they established a multifield coupling mechanical model considering the influence of fissure and pore structure.…”

Section: Introductionmentioning

confidence: 99%

A Complex Network Approach for Quantitative Characterization and Robustness Analysis of Sandstone Pore Network Structure

Liu

Gao

et al. 2021

Geofluids

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The rational characterization and quantitative analysis of the complex internal pore structure of rock is the foundation to solve many underground engineering problems. In this paper, CT imaging technology is used to directly characterize the three-dimensional pore network topology of sandstone with different porosity. Then, in view of the problem, which is difficult to quantify the detailed topological structure of the sandstone pore networks in the previous study, the new complex network theory is used to characterize the pore structure. PageRank algorithm is based on the number of connections between targets as a measure index to rank the targets, so the network degree distribution, average path length, clustering coefficient, and robustness based on PageRank algorithm and permeability-related topological parameters are studied. The research shows that the degree distribution of sandstone pore network satisfies power law distribution, and it can be characterized by scale-free network model. The permeability of rock is inversely proportional to the average path length of sandstone network. The sandstone pore network has strong robustness to random disturbance, while a small number of pores with special topological properties play a key role in the macroscopic permeability of sandstone. This study attempts to provide a new perspective of quantifying the microstructure of the pore network of sandstone and revealing the microscopic structure mechanism of macroscopic permeability of pore rocks.

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Study on Evolution of Fractal Dimension for Fractured Coal Seam Under Multi-Field Coupling

Cited by 34 publications

References 25 publications

Fractal Description of Rock Fracture Networks Based on the Space Syntax Metric

Fractal Description of Rock Fracture Networks Based on the Space Syntax Metric

Effects of microstructure on compressive strength of silica sand-enhanced oil well cement at a wide temperature range

A Complex Network Approach for Quantitative Characterization and Robustness Analysis of Sandstone Pore Network Structure

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