Pore Structure Fractal Characterization and Permeability Simulation of Natural Gas Hydrate Reservoir Based on CT Images by Hang Bian, Yuxuan Xia, Cheng Lu, Xuwen Qin, Qingbang Meng, Hongfeng Lu

“…The original CT scanning images are further processed to get the binarized images of the samples, which can be used for simulation of the porosity and absolute permeability. Based on the fractal geometry theory, pore structures of the samples are quantitatively characterized from the aspect of pore distribution, heterogeneity, and anisotropy (represented by three main fractal geometric parameters: fractal dimension, lacunarity, and succolarity, respectively). …”
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Dynamic Mechanical Properties and Fractal Characteristics of Polypropylene Fiber-Reinforced Cement Soil under Impact Loading by Yi-xin Mo, Jian-yong Pang, Jin-kun Huang

“…This paper aims to study the dynamic mechanical properties, failure patterns, fractal behaviors, and energy dissipation of polypropylene fiber-reinforced cement soil under impact loading. …”
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Evaluation of bone healing in trabeculae structure of mandibular corpus and angulus fracture patients with fractal dimension analysis by Poerwati Soetji Rahajoe, Hendra Sukawijaksa, Pingky Krisna Arindra, Silviana Farrah Diba

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The Fractal Dimension, Structure Characteristics, and Damage Effects of Multi-Scale Cracks on Sandstone Under Triaxial Compression by Pengjin Yang, Shengjun Miao, Kesheng Li, Xiangfan Shang, Pengliang Li, Meifeng Cai

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Research on Rapid Evaluation of Rock Mass Quality Based on Ultrasonic Borehole Imaging Technology and Fractal Method by Yuezheng Zhang, Hongguang Ji, Wenguang Li, Kuikui Hou

“…Due to its inherent fractal characteristics, the fractal box dimension of the hole wall image can be used to describe the complexity of the structural surface. …”
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Study on the Fractal Characteristics of Coal Body Fissure Development and the Law of Coalbed Methane Migration of around the Stope by He Yang, Zhen Liu, Danliang Zhu, Wenzhi Yang, Dawei Zhao, Wendi Wang

“…Finally, by building a model for calculating the penetrability coefficient of coal seam based on fractal dimension of mining fissure and analyzing the relationship between fissure development and fractal dimension, the gas migration law and the fissure development areas of #7 and #8 overburden strata where CBM concentrates can be revealed and determined. …”
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A process inspired by fractals for embedding digital codes into additively manufactured components for supply chain security by Saber Nemati, Ali Mahmoudi, Kyungmin Ham, Tie Siemers, Shengmin Guo, Josephine Gutekunst, Joachim Schulz, Ian Taylor, Michele Maasberg, Leslie G. Butler

“…The codes were configured as either ellipsoids or prolate spheroids in patterns given by the Cantor dust fractal. Tensile testing was performed on 15 dumbbells, 7 with digital codes in the gauge volume and 8 with codes in the dumbbell tail. …”
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Multifractal Applications in Hydro-Climatology: A Comprehensive Review of Modern Methods by Shamseena Vahab, Adarsh Sankaran

Subjects: “…fractal…”
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Numerical Test Study of the Microscale Failure Modes and Fractal Analysis of Lower Cambrian Shale Based on Digital Images by Hengtao Cui, Zhonghu Wu, Liping Li, Jing Wang, Shuguang Song, Shangqu Sun, Yujun Zuo, Hao Liu, Yili Lou

“…Since the development of fractal theory provides a new space for studying the damage and fracture of rocks, the damage evolution and failure process of shale can also be regarded as the fractal process of cracks, in which the fractal dimension is the core parameter. …”
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Evaluation of bony changes observed in mid-palatal suture after rapid maxillary expansion using fractal analysis by Elif Meltem Aslan Ozturk, Ozge Muftuoglu

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Particle Flow Simulation of the Mechanical Properties and Fracture Behavior of Multi-Mineral Rock Models with Different Fractal Dimensions by Run Shi, Huaiguang Xiao

Subjects: “…fractal dimension…”
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Human development III: Bridging Brain-Mind and Body-Mind. Introduction to “Deep” (Fractal, Poly-Ray) Cosmology by Søren Ventegodt, Tyge Dahl Hermansen, Erik Rald, Trine Flensborg-Madsen, Maj Lyck Nielsen, Birgitte Clausen, Joav Merrick

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Fractal Characteristics of Pore Structure of Longmaxi Shales with Different Burial Depths in Southern Sichuan and Its Geological Significance by Manping Yang, Yanyan Pan, Hongye Feng, Qiang Yan, Yanjun Lu, Wanxin Wang, Yu Qi, Hongjian Zhu

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Relationship between Fractal Dimension of Fragmentation Degree and Energy Dissipation of Rock-Like Materials under Initial Stress by Ying Xu, Jinjin Ge, Hailong Li, Rongzhou Yang, Kun Wang, Shi Hu

“…The impact test results show that (1) the prediction value on the fragmentation degree of cemented sand specimens by using the fractal model is basically consistent with the screening results of actual test, which verifies the applicability of the fractal calculation model given in this study; (2) the more the fracture energy dissipated in the crushing process of cemented sand specimens, the more serious the fragmentation degree is, and accordingly the larger the fractal dimension is, that is, the fracture energy is positively correlated with the fractal dimension; (3) there is an exponential relationship between the fractal dimension and energy dissipation of cemented sand specimens under initial stress, which is so different from that under no initial stress. …”
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Application of fractal model in the Jurassic tight sandstone reservoirs of central Junggar Basin as constrained by mercury ejection curves by Hongkang Zhao, Xiangchun Chang, Tianchen Ge, Zhiping Zeng, Junjian Zhang, Daiqi Ming, Runye Han

Subjects: “…Fractal theory…”
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A comparative analysis of fractal and fractionalized thermal non-equilibrium model for chaotic convection saturated by porous medium by Kashif Ali Abro, Imran Qasim Memon, Ali Yousef, Qasem M. Al-Mdallal

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Experimental Study on the Fractal Features and Permeability Characteristics of Low Metamorphic Coal Pore Structure under Thermal Damage by Zhen Liu, Mingrui Zhang, Shijian Yu, Lin Xin, Gang Wang, Liutao Sun

“…During the heating process, the measured fractal dimension based on the T2 spectral distribution is between 2 and 3, indicating that the fractal characteristics did not disappear upon a change in external temperature. …”
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Three-Dimensional Numerical Simulation of Multiscale Fractures and Multiphase Flow in Heterogeneous Unconventional Reservoirs with Coupled Fractal Characteristics by Hong Li, Haiyang Yu, Nai Cao, Shiqing Cheng, He Tian, Shiying Di

“…A simulated reservoir model, based on the permeability fractal model and three-dimensional (3D) Gaussian filter, was established to account for in-layer and interlayer heterogeneity so that the result conforms to the law of geological statistics. …”
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Picard Successive Approximation Method for Solving Differential Equations Arising in Fractal Heat Transfer with Local Fractional Derivative by Ai-Min Yang, Cheng Zhang, Hossein Jafari, Carlo Cattani, Ying Jiao

“…The Fourier law of one-dimensional heat conduction equation in fractal media is investigated in this paper. An approximate solution to one-dimensional local fractional Volterra integral equation of the second kind, which is derived from the transformation of Fourier flux equation in discontinuous media, is considered. …”
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Fractal Assessment of the Disturbances of Phosphate Series Using Lacunarity and Succolarity Analysis on Geoelectrical Images (Sidi Chennane, Morocco) by Abderrahim Ayad, Saad Bakkali

“…The results proved that there is a strong correlation between the disturbances rate and the corresponding fractal value indexes. It appears that the distinction between two disturbed areas is the difference between their corresponding fractal values. …”
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