Effect of Shale Sample Particle Size on Pore Structure Obtained from High Pressure Mercury Intrusion Porosimetry by Zhiye Gao, Longfei Duan, Qinhong Hu, Shuling Xiong, Tongwei Zhang

“…The amount and proportion of mercury retention during mercury extrusion process increase with the decrease of shale particle size, which is closely related to the increased ink-bottle effect in shale sample with smaller particle size. In addition, the fractal dimension of Barnett Shale is positively related to the particle size, which indicates that the heterogeneity of pore structure is stronger in shale sample with larger particle size. …”
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Morphology Effect of Surface Structures on Microchannel Flow Using Lattice Boltzmann Method by Ge Zhang, Bo Liu, Aiguo Xu, Yiming Shan, Yingjun Li

“…Further research is carried based on more complex channels with arrays of fractal-character artificial elements. As elements in the channel can be divided into main summits and subsummits, their different roles of the effect on the fluid flow is investigated. …”
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Gender equity as a key element for agroecological transitions: Neo‐rural women as managers of agroecological initiatives by Beatriz Vizuete, Marina García‐Llorente, Irene Pérez‐Ramírez, Elisa Oteros‐Rozas

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Numerically pricing American and European options using a time fractional Black–Scholes model in financial decision-making by Omid Nikan, Jalil Rashidinia, Hossein Jafari

“…The time fractional Black–Scholes equation (TFBSE) is designed to evaluate price fluctuations within a correlated fractal transmission system. This model prices American or European put and call options on non-dividend-paying stocks. …”
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Analysis and Prediction of Grouting Reinforcement Performance of Broken Rock Considering Joint Morphology Characteristics by Guanglin Liang, Linchong Huang, Chengyong Cao

“…Given the significant influence of rock joint morphology on mechanical behavior, this study employs the frequency spectrum fractal dimension (D) and the frequency domain amplitude integral (Rq) as quantitative descriptors of joint morphology. …”
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Research on Seepage Characteristics of Y-Shaped Fractures under Different Fracture Roughness by Ruifeng Tang, Jing Xie, Shouning Xue, Zhilong Zhang, Junjun Liu, Bengao Yang

“…In this work, based on the W-M fractal function, a Y-shaped fracture model with different roughness is established. …”
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Experimental Study on the Property Degradation and Failure Mechanism of Weakly Cemented Sandstone under Dry-Wet Cycles by Zhaoyang Song, Lihui Sun, Shouye Cheng, Zhiqiang Liu, Jie Tan, Fangbo Ning

“…With an increase in the number of dry-wet cycles, the crack is mainly caused by the main crack penetration failure, and the secondary crack is significantly reduced. The fractal dimension decreases with an increase in the dry-wet cycles and reaches its maximum at 0 dry-wet cycles, which means that 0 dry-wet cycles witness the most complex morphology of fractures within the weakly cemented sandstone. …”
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A Study of the Roots of Folding Urbanism Based on the Genealogy of Michel Foucault by arsalan Karimi khiavi, Siamak Panahi, Shahab Kariminia

“…The process of this research has reached the conclusion that Folding urbanism is based on Mendelbrot fractal geometry, Lotfizadeh fuzzy logic and in Lawrence chaos atmosphere and power relations in the glory of feminism and its manifestation on urbanism are the main reasons for the formation. …”
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Is the Retinal Vasculature Related to β-Peripapillary Atrophy in Nonpathological High Myopia? An Optical Coherence Tomography Angiography Study in Chinese Adults by Jiao Sun, Jialin Wang, Ran You, Yanling Wang

“…A 3.0 × 3.0 mm2 grid and a 4.5 × 4.5 mm2 grid were used to scan parafoveal and peripapillary regions using optical coherence tomography angiography, respectively. Vessel density and fractal dimensions of the retina and foveal avascular zone were analysed and quantified using en face projection images. …”
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Nonlinearities in Drug Release Process from Polymeric Microparticles: Long-Time-Scale Behaviour by Elena Simona Bacaita, Costica Bejinariu, Borsos Zoltan, Catalina Peptu, Gabriela Andrei, Marcel Popa, Daniela Magop, Maricel Agop

“…A theoretical model of the drug release process from polymeric microparticles (a particular type of polymer matrix), through dispersive fractal approximation of motion, is built. As a result, the drug release process takes place through cnoidal oscillations modes of a normalized concentration field. …”
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Prediction of Intraformational Remaining Oil Distribution Based on Reservoir Heterogeneity: Application to the J-Field by Jie Zhang, Feifei Fang, Jie Wang, Yajie Tian, Fei Mo, Qi Li, Sainan Li, Xiaoliang Huang, Yi Yang

“…It is concluded that the larger the fractal dimension of the composite index of pore structure is, the stronger the heterogeneity of reservoir is; the smaller the composite index of pore structure is, the smaller the recovery degree is. …”
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Design and strengthening of dual bio-inspired lattice structures based on additive manufacturing by Tongyuan Sun, Bingzhi Chen, Deyu Yue, Dongming Li

“…By utilizing dual bio-inspired characteristics from turtle shell support and honeycomb structure, a novel honeycomb hyperbolic bio-inspired strut (HHBS) structure was designed. Five fractal configurations were created by varying the strut angle, and their energy absorption capabilities and deformation modes were analyzed through numerical simulation and quasi-static compression experiment. …”
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An Improved Predictive Model for Determining the Permeability Coefficient of Artificial Clayey Soil Based on Double T2 Cut-Offs by Zhen Lu, Aimin Sha, Junfeng Gao, Meng Jia, Wentong Wang

“…In addition, the relationships between the double T2 cut-offs and fractal dimension (D) of the T2 spectrum of saturated artificial clayey soil were also identified.…”
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Quantifying 3D coral reef structural complexity from 2D drone imagery using artificial intelligence by Aviv Suan, Simone Franceschini, Joushua Madin, Elizabeth Madin

“…In this study, we present an approach that integrates drones, various color space information, and deep learning neural networks to predict three-dimensional complexity metrics—height range, rugosity and fractal dimension—across large (thousands of m2) spatial scales. …”
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Effect of intercropping Lolium perenne in Ziziphus jujuba orchards on soil quality in the canopy by Yao Ma, Bin Cao, Xiaojia Wang, Weijun Chen

“…Relative to monoculture, this approach increased the proportion of water-stable aggregates (0.5–0.25 mm) by 4.16%, decreased the soil’s fractal dimension by 0.46%, augmented the field water holding capacity by 14.78%, and significantly boosted soil enzyme activity. …”
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Saline–CO₂ Solution Effects on the Mechanical Properties of Sandstones: An Experimental Study by Motao Duan, Haijun Mao, Guangquan Zhang, Junxin Liu, Sinan Zhu, Di Wang, Hao Xie

“…The pores obtained by Avizo’s segmentation of the threshold value of CT sections first increased and then decreased, and the fractal dimensions obtained first increased and then decreased. …”
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Mechanical Mechanism of Water Injection to Enhance the Stability of Soft Coal by Chuanqi Zhu, Hao Fan, Wanrong Liu, Shaobo Li

“…The percentage of particle coal with particle size less than 2.5 mm accounts for 47.157%, fractal dimension is 2.172, and uniaxial compressive strength and tensile strength are 3.822 MPa and 0.165 MPa, respectively. (2) The coal body is dry (the original moisture content is 1.336%), containing a large number of loose particles, pores, fissures, and other microfabrics. …”
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Rock fracture mode and acoustic emission characteristics under true triaxial single-sided unloading path by Longpei Ma, Longpei Ma, Chongyan Liu, Guangming Zhao, Guangming Zhao

“…The findings indicate that as the peak strength of the rock decreases, the fractal dimension of the ultimately broken fragments becomes larger, and the cracks within the failure zone develop more comprehensively. …”
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Characterization of the Pore Network of a Cohesive Oxisol Through Morphological and Pore Complexity Analyses by Jocenei A. T. de Oliveira, Thaís N. Pessoa, José V. Gaspareto, Adolfo N. D. Posadas, André L. F. Lourenço, Paulo L. Libardi, Luiz F. Pires

“…The multifractal analysis showed fractal characteristics for the cohesive horizon, suggesting a more homogeneous pore distribution. …”
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Freeze-Thaw Cycle Effect on Sputtering Rate of Water-Saturated Yellow Sandstone under Impact Loading by Yunbing Hu, Tianzhu Duan, Penghui Xian, Liang Chen

“…The lower the freeze-thaw temperature is, the higher the fracture degree of yellow sandstone is, and the smaller the particle size distribution of fragments is. The fractal dimension of yellow sandstone increases with the decrease of freeze-thaw temperature, indicating that the damage of yellow sandstone is more serious. …”
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