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Baojie Xu, Hualei Zhang, Jiadi Yin and Yonglin Xue
Although permeation grouting technology has been widely used in engineering practice, there has not been sufficient research on how the distribution of pore sizes in porous media affects the diffusion of grout. In this study, based on the fractal theory ...
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Ping Wang, Ze Zhao, Da Zhang and Zeng Chen
Microseismic monitoring is a common monitoring tool in the mining production process; for supervising a huge amount of microseismic data, effective analysis tools are necessary. In this study, the monitoring results of microseismic events at the Maoping ...
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Min Zhu, Xiaohan Lu, Haiyan Li, Hongjun Cao and Fei Wu
In the field of aerospace, weapons and other complex assembly, there are more than 50 factors affecting the performance degradation of joint structures, among which the friction coefficient is the main factor. Nickel steel is widely used in large complex...
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Yong Liu, Hao Du, Xinjiang Ren, Baichun Li, Junze Qian and Fangchao Yan
Due to the complexity of sealing surface topography, it is difficult to take the surface topography into consideration when building a leakage rate model theoretically. Therefore, a theoretical model for estimating the leakage rate of metal-to-metal seal...
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Qindong Fan, Xuejian Mei, Chenming Zhang and Xiaoyu Yang
Urban spatial form is a significant reference to getting to know cities and running the cities. The fractal theory is an effective means to quantify urban spatial form. Taking the buildings in the outer ring of Zhengzhou City as the research object, the ...
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Songqiang Xiao, Zhaolong Ge, Yiyu Lu, Zhe Zhou, Qian Li and Lei Wang
Water jet drilling (WJD) technology is a highly efficient method to extract coalbed methane from reservoirs with low permeability. It is crucial to efficiently remove the coal fragments while drilling. In this study, to disclose coal fragmentation featur...
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Weigen Chen, Wanping Wang, Qing Xia, Bing Luo and Licheng Li
In this paper, an artificial pollution test is carried out to study the leakage current of porcelain insulators. Fractal theory is adopted to extract the characteristics hidden in leakage current waveforms. Fractal dimensions of the leakage current for t...
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Hongwei Deng, Guanglin Tian, Songtao Yu, Zhen Jiang, Zhiming Zhong and Yanan Zhang
Micro-pore structure has a decisive effect on the physical and mechanical properties of porous materials. To further improve the composition of rock-like materials, the internal relationship between microscopic characteristics (porosity, pore size distri...
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Lei Ma, Stefan Seipel, Sven Anders Brandt and Ding Ma
Examining the complexity of urban form may help to understand human behavior in urban spaces, thereby improving the conditions for sustainable design of future cities. Metrics, such as fractal dimension, ht-index, and cumulative rate of growth (CRG) inde...
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Jonathan J. Carroll-Nellenback, R. James White, Ronald W. Wood and Kevin J. Parker
Ultrasound imaging of the liver is an everyday, worldwide clinical tool. The echoes are produced by inhomogeneities within the interrogated tissue, but what are the mathematical properties of these scatterers? In theory, the spatial correlation function ...
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Zilong Qin, Jinxin Wang and Yan Lu
Multifractal theory provides a reliable method for the scientific quantification of the geomorphological features of basins. However, most of the existing research has investigated small and medium-sized basins rather than complex and large basins. In th...
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Qiang Fu, Dong Liu, Tianxiao Li, Song Cui and Yuxiang Hu
The accurate and reliable prediction of groundwater depth is the basis of the sustainable utilization of regional groundwater resources. However, the complexity of the prediction has been ignored in previous studies of regional groundwater depth system a...
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Qiang Fu, Dong Liu, Tianxiao Li, Song Cui, Yuxiang Hu
Pág. 1 - 16
The accurate and reliable prediction of groundwater depth is the basis of the sustainable utilization of regional groundwater resources. However, the complexity of the prediction has been ignored in previous studies of regional groundwater depth system a...
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Chenyang Huang, Yang Yu, Zhijun Song, Bin Cheng and Wenyue Dai
Planet formation begins with the collision and growth of dust in protoplanetary disks. Concerning the basic cognition of the early stage of planet formation, a long-standing weakness of the research is a comprehensive physical model describing the collis...
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Vilmos Katona
This paper explores the working hypothesis that fractal patterns that closely match those found in nature are more likely to convey a strong sense of genius loci to humans by comparison with ?Euclidean? patterns that do not occur in nature frequently. A ...
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Mikolaj Karpinski, Svitlana Kuznichenko, Nadiia Kazakova, Oleksii Fraze-Frazenko and Daniel Jancarczyk
This paper proposes an approach to the geospatial assessment of a territorial road network based on the fractals theory. This approach allows us to obtain quantitative values of spatial complexity for any transport network and, in contrast to the classic...
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Kevin J. Parker, Jonathan J. Carroll-Nellenback and Ronald W. Wood
The fractal branching vasculature within soft tissues and the mathematical properties of the branching system influence a wide range of important phenomena from blood velocity to ultrasound backscatter. Among the mathematical descriptors of branching net...
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Samet Günay
Pág. 515 - 522
In this study, the parameters of chaos are analyzed for the leading emerging stock markets: Brazil, Russia, India, China, and Turkey (BRIC-T). As chaos has properties such as nonlinearity, sensitivity to initial conditions, and fractality, we performed d...
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Marat Satayev, Abdugani Azimov, Gani Iztleuov and Lazzat Satayeva
The aim of this work is to develop an adsorber with a fixed bed of adsorbent and a mathematical model of the adsorption bed. On the basis of the theory of fractal clusters, an equation for calculating the layer porosity that takes into account the averag...
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