Experiments and Modeling on the Influence of Interfacial Tension on Imbibition Height of Low-Permeability Reservoir by Xiaoxia Ren, Aifen Li, Piyang Liu, Bingqing He

“…An imbibition model considering imbibition resistance and bending of pore throats was established based on fractal theory. According to the experimental results, variations in the imbibition height of low-permeability rock samples with time can be divided into three stages. …”
Get full text

Influence of Macrotexture and Microtexture on the Skid Resistance of Aggregates by Bowen Guan, Jiayu Wu, Chao Xie, Jianhong Fang, Haile Zheng, Huaxin Chen

“…This article intends to study the influence of macrotexture and microtexture on the skid resistance of four types of aggregates. For this purpose, fractal dimension (D), root mean square height (Rq), and Polished Stone Value (PSV) were tested. …”
Get full text

Characterization and Prediction of the Ghana Stock Exchange Composite Index Utilizing Bayesian Stochastic Volatility Models by Osei K. Tweneboah, Kwesi A. Ohene-Obeng, Maria C. Mariani

“…We characterize the GSE-CI using advanced analytical tools such as the Hurst exponent and <i>R</i>/<i>S</i> analysis to uncover its fractal properties and complex dynamics. The paper then advances to predictive modeling, employing an innovative approach with four variations of Stochastic Volatility (SV) models: SV with linear regressors, SV with Student’s <i>t</i> errors, SV with leverage effects, and a hybrid model combining Student’s <i>t</i> errors with leverage. …”
Get full text

Experimental Study on Crushing Characteristics of Lignite under Different Load Conditions by Ziwen Dong

“…After the coal body was under pressure, the degree of crushing intensified. The fractal dimension of the particle sizes of broken coal particles followed a logarithmic relationship with the increase in the stress. …”
Get full text

Flow optimization in vascular networks by Radu C. Cascaval, Ciro D'Apice, Maria Pia D'Arienzo, Rosanna Manzo

“…The aim is to study the effect of truncation to the flow in the root edge of a fractal network, the effect of adding or subtracting an edge to a given network, and optimal control strategies on a network in the event of a blockage or unblockage of an edge or of an entire subtree.…”
Get full text

Una aproximación experimental a los sistemas dinámicos discretos con Mathematica by Michael Rojas Romero

“…El dibujo obtenido, el conjunto Julia, es un fractal. No obstante, la imagen que se logra será siempre una aproximación.…”
Get full text

Entropy, complexity, and spectral features of EEG signals in autism and typical development: a quantitative approach by Aleksandar Tenev, Silvana Markovska-Simoska, Andreas Müller, Igor Mishkovski

“…Time and frequency domain features were applied for all EEG channels, such as the power spectra, brain rate, sample entropy, permutation entropy, spectral entropy, Tsallis entropy, Rényi entropy, Lempel–Ziv complexity, and Higuchi fractal dimension. The features were compared between the ASD and TD groups and tested for statistical significance. …”
Get full text

A Compact Highly Isolated Four-Element Antenna System for Ultra-Wideband Applications by V. Prithivirajan, Mariya Princy Antony Saviour, J. Seetha, B. Siva Kumar Reddy, Anand Anbalagan, D. Rajesh Kumar

“…The envisioned antenna is built up of four microstrip fractal-based circular patch elements, each of which is fed by a microstrip line with a 50-ohm impedance. …”
Get full text

Prediction of Soil Water Characteristic Curve Based on Soil Water Evaporation by Gaoliang Tao, Da Lei, Lisheng Liu, Yi Li, Xueliang Zhu

“…This study developed the application of evaporation curves in geotechnical engineering, reduced the workload of measuring soil water characteristic curves, and explored the relationship between evaporation rate and fractal dimension. Through the indoor tests, we measured soil water characteristic curves of specimens and soil water evaporation curves at different temperatures and explored the relationship between these two curves. …”
Get full text

Multipoint Optimal Minimum Entropy Deconvolution Adjusted for Automatic Fault Diagnosis of Hoist Bearing by Tengyu Li, Ziming Kou, Juan Wu, Waled Yahya, Francesco Villecco

“…In the second part, the particle swarm optimization (PSO) taking fractal dimension as the objective function is employed to choose the filter length of MOMEDA, and then the feature frequency is extracted by MOMEDA from the reconstructed signal. …”
Get full text

A Priori Assessment of Algebraic Flame Surface Density Models in the Context of Large Eddy Simulation for Nonunity Lewis Number Flames in the Thin Reaction Zones Regime by Mohit Katragadda, Nilanjan Chakraborty, R. S. Cant

“…The focus is on algebraic FSD models based on a power-law approach, and the effects of Lewis number on the fractal dimension D and inner cut-off scale ηi have been studied in detail. …”
Get full text

An Experimental Apparatus for Monitoring Radon during Compression of Coal/Rock Samples and Its Preliminary Application by Wei Zhang, Kaidi Xie, Yanchao Zhu, Yandong Zhang, Xu Duan, Jibo Zhu

“…Finally, suggestions for future research are proposed, including mathematical equations to express the correlations between different experimental parameters and fractal characteristics of radon release from porous media.…”
Get full text

Experimental Study on Dry Friction Damping Characteristics of the Steam Turbine Blade Material with Nonconforming Contacts by Jun Wu, Ruishan Yuan, Zhenwu He, Di Zhang, Yonghui Xie

“…The results show that the experimental result of the tangential contact stiffness is in good agreement with that of the theory result based on the fractal theory and the Hertz contact theory by Jiang et al., 2009. …”
Get full text

Numerical Investigation of Hydraulic Fracture Propagation Morphology in the Conglomerate Reservoir by Zehao Xu, Xiangjun Liu, Lixi Liang

“…This model was experimentally verified, and fractal theory was introduced to quantify the complexity of fracture morphology. …”
Get full text

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. …”
Get full text

Effects of Thermal Treatment on Mineral Composition and Pore Structure of Coal by Bin Liu, Teng Teng, Zhenhua Jiao, Shaobo Li

“…Meanwhile, the volume of micropore increases first and then decreases during the process of thermal treatment. The fractal dimension of pore size ranges from 2.6 to 2.9 and increases linearly with the increasing temperature.…”
Get full text

A Systematic Method to Evaluate the Shear Properties of Soil-Rock Mixture considering the Rock Size Effect by Minghui Ren, Guangsi Zhao, Xianhao Qiu, Qinghua Xue, Meiting Chen

“…This paper proposes a systematic method to obtain the realistic shear strength of S-RM by detecting the rock size effect. Firstly, based on fractal theory, the rock size was determined as 5 mm by the multifractal property of granular size distribution. …”
Get full text

Micro- and Nanoscale Pore Structure Characterization of Carbonates from the Xiaoerbulake Formation in the Tarim Basin, Northwest China by Jingyi Wang, Qinhong Hu, Mengdi Sun, Zhongxian Cai, Cong Zhang, Tao Zhang

“…The structures (geometry and connectivity) of nm to μm-scale pore networks in outcrop samples of carbonates from Xiaoerbulake Formation in Tarim Basin of China were studied by using optical microscopy, field emission-scanning electron microscopy (FE-SEM), as well as mercury intrusion porosimetry (MIP) with fractal analyses of the data, and spontaneous imbibition tests (distilled water). …”
Get full text

Chaotic motion of particles in the spacetime of a Kerr black hole immersed in swirling universes by Deshui Cao, Lina Zhang, Songbai Chen, Qiyuan Pan, Jiliang Jing

“…Moreover, we observe clearly that, regardless of the spin parameter, there exist some self-similar fractal fine structures in the basins boundaries of attractors for the spacetime of a black hole immersed in swirling universes. …”
Get full text

Particle Flow Code Simulation of the Characteristics of Crack Evolution in Rock-Like Materials with Bent Cracks by Zhanguo Ma, Shixing Cheng, Peng Gong, Jun Hu, Yongheng Chen

“…Uniaxial compression generated tensile cracks in all the specimens with bent cracks, but in terms of failure mode, the specimens with 0 bend tended to suffer penetrating failure along the fracture strike, while the specimens with 1, 3, and 7 bend tended to suffer penetrating failure along the diagonal direction. Both the fractal dimension and bend number were positively correlated with strain; with the gradual increase of the stress percentage, the damage variable of the specimens gradually increased at a growing rate. …”
Get full text