Fractal Assessment of the Disturbances of Phosphate Series Using Lacunarity and Succolarity Analysis on Geoelectrical Images (Sidi Chennane, Morocco) by Abderrahim Ayad, Saad Bakkali

“…In this paper, we propose the fractal analysis as a simple efficient tool to quantify the rate of the disturbances by two different methods, namely, the Lacunarity and the Succolarity. …”
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Study on Pore Structure and Fractal Characteristics of Tar-Rich Coal during Pyrolysis by Mercury Intrusion Porosimetry (MIP) by Zhendong Wang, Pengfei Jiang, Fu Yang, Yuanyuan Kong, Li Ma, Bohan Xie, Zhonghui Duan

“…This study aims to show how fractal analysis can be effectively used to characterize the pore structure of porous tar-rich coal. …”
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On the Pore Size Distributions and Fractal Dimensions of Activated Carbons Evaluated on the Basis of the Analysis of Nitrogen, Argon and Benzene Vapour Adsorption Data by B.J. Trznadel, A. Światkowski

“…Comparison of the porous structure parameters was extended by a fractal analysis.…”
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The study of mechanical properties and fracture evolution of coal-rock masses under hard roof-soft floor conditions by Jiajun Li, Yin Zhang, Chenchen Yang, Jiaqi Liu, Yu Zhou, Chunlin Li

“…The fractal analysis results show that acoustic emission ringing counts and energy time series of coal rock masses under hard-roof and soft-floor settings have good fractal characteristics. …”
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WAVELET IDENTIFICATION OF 1/fPROCESS FOR THE FRACTAL DIMENSION OF MACHINED SURFACE TOPOGRAPHY by WEN ShuHua, ZHAO Yue, ZHANG XueLiang, CHEN YongHui, LAN GuoSheng

“…The calculation results of the wavelet identification of 1/f process are compared with the box counting method, variance method, R/S analysis method, power spectral density method（PSD）, root mean square method（RMS）, structure function method and the method of equations, and the results show that the wavelet identification of 1/f process is more accurate and more convenient than other algorithms, further shows that the wavelet analysis method can be well applied to the multi-scale fractal analysis on the surface. Finally, the wavelet identification of 1/f process is applied to 3 actual machining surfaces, verified the practicality.…”
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Investigation on the Creep Failure Mechanism of Sandy Mudstone Based on Micromesoscopic Mechanics by Xinshuai Shi, Hongwen Jing, Weiqiang Chen, Yuan Gao, Zhenlong Zhao

“…It was also found by the fractal analysis of the SEM microscopic images that the fractal dimensions of the creep failure specimens were larger than those of the uniaxial compression failure, indicating that the creep damage increased the irregularity and a larger degree of roughness fluctuation. …”
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Investigations on segmentation-based fractal texture for texture classification in the presence of Gaussian noise. by Shamik Tiwari, Akhilesh Kumar Sharma, Izzatdin Abdul Aziz, Deepak Gupta, Antima Jain, Hairulnizam Mahdin, Senthil Athithan, Rahmat Hidayat

“…The results show the superiority of segmentation-based fractal analysis over other approaches. The average accuracy rates using the SFTF are 99% and 97% in the absence and presence of Gaussian noise, respectively.…”
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Compressive Fracture of Brittle Geomaterial: Fractal Features of Compression-Induced Fracture Surfaces and Failure Mechanism by L. Ren, L. Z. Xie, C. B. Li, J. Wang

“…A laser profilometer was employed to measure the topography of each rough fracture surface, followed by fractal analysis of the irregularities of the obtained compression-induced fracture surfaces using the cubic cover method. …”
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The Fractal Dimension of River Length Based on the Observed Data by Ni Zhihui, Wu Lichun, Wang Ming-hui, Yi Jing, Zeng Qiang

“…Therefore, we use some variable dimension fractal analysis methods to study river flow discharge. …”
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Fractal Characteristics of the Spatial Distribution of Mine Earthquake Sources in the Vicinity of a Fault: A Case Study in the Ashele Copper Mine by Congcong Zhao, Shigen Fu, Yinghua Huang

“…Using microseismic systems and fractal theory, a spatiotemporal fractal model of the fault slip process is constructed, and a fractal analysis method is proposed. The fractal dimension value is calculated based on the spatiotemporal parameters of different segments and stages. …”
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4D Mapping of the Fracture Evolution in a Printed Gypsum-Like Core by Using X-Ray CT Scanning by Huabo Liu, Fanjing Meng, Shaozhen Hua

“…The device can record the evolution of the internal penny-shaped flaw by X-ray CT scanning and the evolution of the surface crack by digital radiography at the same time. Fractal analysis was employed to quantify the cracking process. …”
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Multifractal Applications in Hydro-Climatology: A Comprehensive Review of Modern Methods by Shamseena Vahab, Adarsh Sankaran

“…Moreover, this study proposes a complex network-based fractal analysis (CNFA) framework for the multifractal analysis of daily streamflows as an alternative. …”
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Experimental Investigation into the Effects of Fracturing Fluid-Shale Interaction on Pore Structure and Wettability by Yan Zhang, Zhiping Li, Fengpeng Lai, Hao Wu, Gangtao Mao, Caspar Daniel Adenutsi

“…In this study, the pore structure and fluid distribution of shale samples were analyzed by utilizing low-pressure liquid nitrogen adsorption (LP-N2GA) and nuclear magnetic resonance (NMR). The fractal analysis showed that the pore structure of the sample was strongly heterogeneous. …”
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Aggregation Behavior of Some Asymmetric Porphyrins versus Basic Biological Tests Response by Radu Socoteanu, Mihai Anastasescu, Anabela Oliveira, Gianina Dobrescu, Rica Boscencu, Carolina Constantin

“…Fractal analysis of free bases porphyrins was computed on atomic force microscopy (AFM) micrographs using two different methods: the correlation function method and the variable length scale method. …”
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Fractal dimensions in oral squamous cell carcinoma: A novel diagnostic paradigm by Ramkumar Ravichandran, Nagarathinam Anbu Elangovan, Rajkumar Krishnan, Dominic S, Dinesh Kumar Thayalan, Supriya Ponsingh

“…In conclusion, our study suggests the use of fractal analysis as a diagnostic tool for oral carcinoma. …”
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Evaluation of Expanded Clay and Tuff as Lightweight Agents in Concrete Stabilized with Nopal Mucilage and Aloe Vera by Daniel Mendoza-Goden, Rocio Rafaela Gallegos-Villela, Pedro Flores-Becerra, Josue Francisco Perez-Sanchez, Edgardo Jonathan Suarez-Dominguez, Arturo Palacio-Perez

“…To assess their performance, a series of physical tests (bulk density, water absorption, and slump), mechanical tests (compressive strength), and thermal characterizations (conductivity, heat capacity, and resistivity) were conducted. Fractal analysis was employed to evaluate the structural complexity of the mixtures. …”
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