The Fractal Character of Corrosion Steel Surface

2010 ◽  
Vol 163-167 ◽  
pp. 3150-3155 ◽  
Author(s):  
Zheng Yi Kong ◽  
Shan Hua Xu
Keyword(s):  
Fractal Dimension ◽  
Safety Assessment ◽  
Surface Characterization ◽  
Fractal Theory ◽  
Steel Corrosion ◽  
Steel Structure ◽  
Sample Length ◽  
Fractal Character ◽  
Corrosion Pits

In this paper, the corrosion specimens are obtained by ways of constant temperature and humidity ,and the size of corrosion pits is detected by roughness tester. So surface characterization of steel corrosion is researched by fractal theory and it has been proved by structure function that it has the fractal character. It find that the fractal dimension is inherent and it will not change with the sample length. The result indicates that the fractal dimension is decreasing with the corrosion rate increasing. so it will help to solve the difficult of safety assessment for In-service steel structure.

The Surface Properties of Corrosion Specimens

2011 ◽  
Vol 255-260 ◽  
pp. 509-513
Author(s):  
Shan Hua Xu ◽  
Zheng Yi Kong ◽  
Chao Zhang
Keyword(s):  
Fractal Dimension ◽  
Safety Assessment ◽  
Surface Characterization ◽  
Fractal Theory ◽  
Steel Structure ◽  
The Other ◽  
Localized Corrosion ◽  
Specimen Surface ◽  
Power Relationship ◽  
Natural Corrosion

The characterstics of corrosion is important to asseess structure safety, however, because of the complexity of corrosion, it is hard to see papers anout it. In order to study the characterstics of corrosion specimen surface, two methods are used to obtain corrosion specimens, one method is constant temperature and humidity, the other is natural corrosion. Then roughness tester is used to detect the profile of corrosion specimen surface, and the surface characterization is analyzed by fractal theory. Through the experimnet, we find the law of power relationship between fractal dimension and the depth of localized corrosion, so it will help to solve the difficulty of safety assessment for in-service steel structure.

Research on Corrosion Fractal Character of LY12CZ Aluminum Alloy Based on Image Processing Technique

2010 ◽  
Vol 152-153 ◽  
pp. 1691-1695
Author(s):  
Zhi Tao Mu ◽  
Zuo Tao Zhu ◽  
Ding Hai Chen ◽  
Fu Gao Zhang
Keyword(s):  
Weight Loss ◽  
Aluminum Alloy ◽  
Fractal Dimension ◽  
Loss Rate ◽  
Fractal Theory ◽  
Image Processing Technique ◽  
Weight Loss Rate ◽  
Fractal Character ◽  
Corrosion Pits ◽  
Corrosion Time

The number of corrosion pits with different corrosion times were got through extracting the corrosion character of LY12CZ aluminum alloy based on binary image disposal technique, through statistical fractal theory we can see that the distribution of corrosion pits have fractal character; the fractal dimension and weight loss rate increased with the corrosion time and the change rule of fractal dimension with different corrosion time consistent with weight loss rate, both are accordant with power function, so the fractal dimension can be regarded as an important parameter to evaluate the corrosion degree.

The Calculation of the Thickness for Uniform Corrosion and Localized Corrosion in Steel Corrosion

2011 ◽  
Vol 255-260 ◽  
pp. 514-518
Author(s):  
Zheng Yi Kong ◽  
Shan Hua Xu ◽  
Yu Sheng Chen
Keyword(s):  
Corrosion Rate ◽  
Constant Temperature ◽  
Safety Assessment ◽  
Steel Corrosion ◽  
Localized Corrosion ◽  
Power Relationship ◽  
Uniform Corrosion ◽  
Experiment Data ◽  
Temperature And Humidity ◽  
Corrosion Pits

Because of the complexity of corrosion, the law of uniform corrosion and localized corrosion is still not clear,so it is difficult to assess their impact on the structure safety. In order to differ them and find their own law, we obtain a lot of corrosion specimens by ways of constant temperature and humidity, and then detect the size of corrosion pits by roughness tester. After that, the method for calculating the thickness of uniform corrosion and localized corrosion is proposed. Then the method is used to analyze the experiment data. The result indicates the thickness of uniform corrosion and localized corrosion all increase with the rate of corrosion, and they all show a power relationship with corrosion rate, so it will provide a basis for distinguishing them in safety assessment.

scholarly journals Quantitative Characterization of Heterogeneity in Different Reservoir Spaces of Low-Permeability Sandstone Reservoirs and Its Influence on Physical Properties

2021 ◽  
Vol 2021 ◽  
pp. 1-8
Author(s):  
Fengjuan Dong ◽  
Na Liu ◽  
Zhen Sun ◽  
Xiaolong Wei ◽  
Haonan Wang ◽  
...  
Keyword(s):  
Fractal Dimension ◽  
Pore Structure ◽  
Fractal Theory ◽  
Fractal Dimensions ◽  
Low Permeability ◽  
Quantitative Characterization ◽  
Average Value ◽  
Porosity And Permeability ◽  
Sandstone Reservoirs

The complex pore structure of low-permeability sandstone reservoir makes it difficult to characterize the heterogeneity of pore throat. Taking the reservoir of Sanjianfang formation in QL oilfield as an example, the fractal dimension of different storage spaces is calculated by using fractal theory based on casting thin section, scanning electron microscope, and high-pressure mercury injection, and the correlation between porosity, permeability, and contribution of different storage space permeabilities is analyzed. The results show that the reservoir of Sanjianfang formation in QL oilfield mainly develops small pores, fine pores, and micropores, and the fractal dimension of micropore structure is between 2.6044 and 2.9982, with an average value of 2.8316. The more complex the pore structure is, the stronger the microheterogeneity is. The higher the fractal dimension, the more complex the pore structure and the smaller the porosity and permeability. The fractal dimensions of small pores, fine pores, and micropores increase successively with the decrease in pore radius, and the microstructure heterogeneity of large pores is weaker than that of small pores. It provides a theoretical basis for the exploration and development of low-permeability sandstone reservoirs.

Characterization on Primary Phase Morphology of Semisolid A356 Alloy during Isothermal Holding with Fractal

2012 ◽  
Vol 531-532 ◽  
pp. 67-72 ◽  
Author(s):  
Zheng Liu ◽  
Xiao Mei Liu
Keyword(s):  
Fractal Dimension ◽  
Fractal Theory ◽  
Isothermal Holding ◽  
A356 Alloy ◽  
Primary Phase ◽  
Phase Morphology ◽  
Processing Conditions ◽  
Alloy Solidification ◽  
Fractal Character ◽  
Holding Temperature

Semisolid A356 alloy was prepared by low superheat pouring, and evolution of primary phase morphology in semisolid A356 alloy during isothermal holding was characterized by fractal theory. The results indicated that the primary phase morphology in the alloy had fractal character, and the evolution of the primary phase morphology in the alloy could be characterized by fractal dimension. The primary phase morphology at the different isothermal holding temperature and holding time had the different fractal dimension, which meant the effect of processing conditions on the morphology in the alloy. Solidification of the alloy was a course of change in fractal dimension.

Research on the AC-13 Skeleton Dense-Graded Asphalt Mixtures by Fractal Theory

2014 ◽  
Vol 971-973 ◽  
pp. 148-156
Author(s):  
Gui Hua Hu ◽  
Xiao Wei Chen ◽  
Xuan Cang Wang
Keyword(s):  
Fractal Dimension ◽  
Strong Correlation ◽  
Fractal Theory ◽  
Asphalt Mixture ◽  
Aggregate Size ◽  
Asphalt Mixtures ◽  
Degree Of Saturation ◽  
Paper Study ◽  
Mineral Aggregate ◽  
Fractal Character

This paper study on AC-13 skeleton dense-graded asphalt mixtures by fractal theory, obtaining that both aggregate size and gradation have fractal character. Compared three kinds of asphalt mixture, we found that there was a strong correlation between fractal dimension of aggregate and aggregate size distribution. AC-13 skeleton dense-graded asphalt mixtures were tested. The results show that the aggregate fractal dimension has a good correlation with mixture’s bulk density, mineral aggregate gap rate, percentage of voids and asphalt degree of saturation too. The study is useful for reference to the readers who engage in further study of the fractal theory’s application to asphalt mixtures.

scholarly journals CHARACTERIZATION OF THE IRREGULARITY OF A TERRAIN USING FRACTAL DIMENSION OF LAKES' BOUNDARIES

Fractals ◽  
2015 ◽  
Vol 23 (02) ◽  
pp. 1550002 ◽  
Author(s):  
NAKUL N. KARLE ◽  
KIRAN M. KOLWANKAR
Keyword(s):  
Fractal Dimension ◽  
Western Ghats ◽  
Similar Character ◽  
Broad Variation ◽  
Self Similar ◽  
Fractal Character ◽  
The Western Ghats ◽  
Natural Water Body ◽  
Shed Light

Even though many objects and phenomena of importance in geophysics have been shown to have fractal character, there are still many of them which show self-similar character and yet to be studied. The objective of the present work is to demonstrate that the fractal dimension of the boundary of a natural water body can be used to shed light on irregularity as well as other properties of a region. Owing to easy availability of satellite images and image processing softwares, this turns out to be a handy tool. In this study, we have analyzed several lakes in India mostly around the Western Ghats region. We find that the fractal dimension of their boundaries for the length scales between around 40 m to 2 km, in general, has broad variation from 1.2 to 1.6. But when they are grouped into three categories, viz., lakes along the ridge of Western Ghats, lakes in the planes and lakes in the mountain region, we find the first two groups to have a narrower distribution of dimensions.

Microstructure Characterization of Ceramics by Fractal Geometry

1997 ◽  
Vol 492 ◽  
Author(s):  
Z. X. Xiong ◽  
K. Z. Baba-Kishi ◽  
F. G. Shin
Keyword(s):  
Electron Microscopy ◽  
Image Processing ◽  
Fractal Dimension ◽  
Fractal Geometry ◽  
Fractal Theory ◽  
Image Processing Techniques ◽  
Fractal Analyses ◽  
Processing Techniques ◽  
Good Agreement

ABSTRACTFollowing Mandelbrot's fractal theory, the irregular characteristics of the microstructural features of ferroelectric Pb(Sc0.5 Ta0.5)O3 ceramics, including grain boundaries and dislocation networks, were investigated. The microstructural features were imaged by electron microscopy. The fractal analyses were carried out manually and by image processing techniques, which show the value of the fractal dimension, D, varies according to the regularity of the microstructure. The value of, D, close to unity is an indication of an increasing degree of microstructural regularity, which is in good agreement with the simulated results.

scholarly journals Characterization of Pore Structures and Implications for Flow Transport Property of Tight Reservoirs: A Case Study of the Lucaogou Formation, Jimsar Sag, Junggar Basin, Northwestern China

Energies ◽  
2021 ◽  
Vol 14 (5) ◽  
pp. 1251
Author(s):  
Yang Su ◽  
Ming Zha ◽  
Keyu Liu ◽  
Xiujian Ding ◽  
Jiangxiu Qu ◽  
...  
Keyword(s):  
Fractal Dimension ◽  
Fractal Theory ◽  
Fractal Dimensions ◽  
Pore Network ◽  
X Ray ◽  
Pore Structures ◽  
Lucaogou Formation ◽  
Tight Reservoirs ◽  
Jimsar Sag

Quantitate characterization of pore structures is fundamental to elucidate fluid flow in the porous media. Pore structures of the Lucaogou Formation in the Jimsar Sag were investigated using petrography, mercury intrusion capillary porosimetry (MICP) and X-ray computed tomography (X-ray μ-CT). MICP analyses demonstrate that the pore topological structure is characterized by segmented fractal dimensions. Fractal dimension of small pores (r < Rapex) ranges from 2.05 to 2.37, whereas fractal dimension of large pores (r > Rapex) varies from 2.91 to 5.44, indicating that fractal theory is inappropriate for the topological characterization of large pores using MICP. Pore volume of tight reservoirs ranges over nine orders of magnitude (10−1–108 μm3), which follows a power-law distribution. Fractal dimensions of pores larger than a lower bound vary from 1.66 to 2.32. Their consistence with MICP results suggests that it is an appropriate indicator for the complex and heterogeneous pore network. Larger connected pores are primary conductive pathways regardless of lithologies. The storage capacity depends largely on pore complexity and heterogeneity, which is negatively correlated with fractal dimension of pore network. The less heterogeneous the pore network is, the higher storage capability it would have; however, the effect of pore network heterogeneity on the transport capability is much more complicated.

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