scholarly journals Potential of Fractal Analysis of Earthquakes through Wavelet Analysis and Determination of b Value as an Aftershock Precursor: A Case Study Using Earthquake Data between 2003 and 2011 in Turkey

2014 ◽  
Vol 2014 ◽  
pp. 1-5 ◽  
Author(s):  
V. Srivardhan ◽  
Uppala Srinu
Keyword(s):  
Fractal Dimension ◽  
Wavelet Analysis ◽  
Fractal Analysis ◽  
B Value ◽  
High Accuracy ◽  
Elegant Method ◽  
Stress Accumulation ◽  
Earthquake Data

The b value of earthquakes is very useful to forecast the occurrence of aftershocks in a given region. The b value characterizes the release of energy due to stress accumulation in the rocks through an earthquake and is a direct indicator for the prediction of aftershocks in the region. Wavelet based fractal analysis is used in this study to determine the b value by calculating the fractal dimension. This method guarantees high accuracy results through a limited dataset. The objective of this work was to demonstrate an elegant method for the determination of the b value after an earthquake and predict the occurrence of aftershocks with high accuracy. Repeated earthquakes were analyzed between 2003 and 2011 in Turkey and the b value was found for these earthquakes. The results gave an indication that the b value of the mainshock and its aftershocks are different and aftershocks occur in the region when the b value of the mainshock deviates significantly from 0.5, and aftershocks keep occurring until the b value of the earthquake approaches close to 0.5 for this region.

Optimal Density Determination of Bouguer Anomaly Using Fractal Analysis (Case of study: Charak area,IRAN)

2005 ◽  
Vol 1 (1) ◽  
pp. 21-24
Author(s):  
Hamid Reza Samadi
Keyword(s):  
Surface Roughness ◽  
Fractal Dimension ◽  
Fractal Analysis ◽  
Fractal Geometry ◽  
Host Rock ◽  
Bouguer Anomaly ◽  
Research Area ◽  
Density Difference ◽  
Optimal Density

In exploration geophysics the main and initial aim is to determine density of under-research goals which have certain density difference with the host rock. Therefore, we state a method in this paper to determine the density of bouguer plate, the so-called variogram method based on fractal geometry. This method is based on minimizing surface roughness of bouguer anomaly. The fractal dimension of surface has been used as surface roughness of bouguer anomaly. Using this method, the optimal density of Charak area insouth of Hormozgan province can be determined which is 2/7 g/cfor the under-research area. This determined density has been used to correct and investigate its results about the isostasy of the studied area and results well-coincided with the geology of the area and dug exploratory holes in the text area

scholarly journals Use of fractal analysis to evaluate the surface quality of agricultural machinery parts

2020 ◽  
Vol 17 ◽  
pp. 00189
Author(s):  
Oleg Bavykin ◽  
Tatyana Levina ◽  
Vladlena Matrosova ◽  
Anatoly Klochkov ◽  
Vitaliy Enin
Keyword(s):  
Time Series ◽  
Computer Program ◽  
Surface Quality ◽  
Fractal Analysis ◽  
Hurst Exponent ◽  
High Accuracy ◽  
Agricultural Machinery ◽  
Fractal Characteristics

The research of the determination of the fractal characteristics of the surface of a material proposes the use of a stationary profilograph and a computer program for calculating the Hurst exponent. The low accuracy of fractal analysis using the well-known computer program Fractan is revealed. A computer program developed in VBA for the fractal analysis of the time series is described. The high accuracy of the algorithms for calculating the Hurst exponent incorporated in this program is shown.

scholarly journals Intergranular area microalloyed aluminium-silicate ceramics fractal analysis

2013 ◽  
Vol 45 (1) ◽  
pp. 117-126 ◽  
Author(s):  
J. Purenovic ◽  
V.V. Mitic ◽  
Lj. Kocic ◽  
V. Pavlovic ◽  
M. Randjelovic ◽  
...  
Keyword(s):  
Fractal Dimension ◽  
Electrical Properties ◽  
Fractal Analysis ◽  
Fractal Nature ◽  
Place Making ◽  
Richardson Method ◽  
Micro Morphology ◽  
Solid System ◽  
Aluminium Silicate

Porous aluminium-silicate ceramics, modified by alloying with magnesium and microalloying with alluminium belongs to a group of advanced multifunctional ceramics materials. This multiphase solid-solid system has predominantly amorphous microstructure and micro morphology. Intergranular and interphase areas are very complex, because they represent areas, where numbered processes and interactions take place, making new boundaries and regions with fractal nature. Fractal analysis of intergranular microstructure has included determination of ceramic grain fractal dimension by using Richardson method. Considering the fractal nature of intergranular contacts, it is possible to establish correlation between material electrical properties and fractal analysis, as a tool for future correlation with microstructure characterization.

Application of the portable spectrometer XRF for the determination of content of some metals in soil: A case study from Holy Cross Mountains (Central Poland)

2018 ◽  
Vol 472 (472) ◽  
pp. 285-302
Author(s):  
Paweł Kuć ◽  
Piotr Lenik ◽  
Jakub Bazarnik
Keyword(s):  
High Accuracy ◽  
Soil Samples ◽  
Arithmetic Means ◽  
X Ray ◽  
Holy Cross Mountains ◽  
Accuracy Of Measurements ◽  
Geochemical Studies ◽  
Fluorescence Spectrometer

The analysis of chemical composition using the portable X-ray fluorescence spectrometer (p-XRF) is recently rapidly developing instrumental research method. This method was applied to analyze the content of selected elements in soil samples from the Strużna region of the Holy Cross Mountains. The Olympus Delta Premium p-XRF spectrometer (4W Ta anode X ray tube, 40 kV, 200 μA current beam, “soil” mode, 135 seconds) was used. Prior to analyze the soil samples, the NIST 2710a and NIST 2711a reference standards were utilized in order to calibrate the p-XRF spectrometer. The maps showing obtained results of K, Ca, Fe, Mn, Cu, Zn, As and Pb were constructed using the SURFER 7.0 software with kriging procedure. The obtained results show arithmetic means similar to the previously obtained using traditional methods of chemical analysis for the soils of Holy Cross Mountains. These results combined with the high accuracy of measurements obtained by using the p-XRF Olympus Delta X spectrometer proved this device to be the effective tool for environmental and geochemical studies.

scholarly journals Determination of temporal value of a-value and b-value to identify the level brittle of rock and seismic activity in the Palu region

2019 ◽  
Vol 3 (1) ◽  
pp. 1
Author(s):  
Afryanti Veronika Simangunsong ◽  
Ramadhan Priadi ◽  
Anak Agung Istri Dwilyantari ◽  
Agus Marsono
Keyword(s):  
Maximum Likelihood ◽  
Seismic Activity ◽  
B Value ◽  
B Values ◽  
A Value ◽  
Calculation Results ◽  
Resistance To Stress ◽  
Index Value ◽  
Earthquake Data

<span lang="EN-US">The Palu area is a region that has a high seismic potential as a result of the existence of the Palu Koro Fault. The Koro Palu Fault is an active sinistral fault that moves with velocity around 25-30 mm/year. This research purpose to determine the a-value and b-value temporally for identify rock brittle levels and seismicity levels in the Palu area using the Maximum Likelihood Guttenberg-Richter method. The data used in this study are earthquake data from the BMKG and USGS catalogs for 2008-2018 over a period of 10 years located at 0840 LU 40 2.620LS and 118,590 BT - 121.70 BT. Based on the results of data processing, there were 3033 earthquake distributions in the earthquake over a 10-year period. The calculation results show variations in the value of b-values in the range 0.55-0.961 and the a-value in the range 3.63-5.42. The highest b-value was obtained in 2015 at 0.961 as an indication of increased seismic activity in the Palu area. After the Palu M 7.4 earthquake on 28 September  2018, there was a significant decrease in the value of the b-value to 0.685. Based on the trend of b-value values which continued to decline from 2015 until 2018, it was identified in the rock's resistance to stress is high in the Palu area. Whereas for the seismicity index value of the Palu area of 0.040789 with the earthquake return period 7 is 25 years. </span>

scholarly journals FRACTAL ANALYSIS OF MODELS OF TEXTS OF DIFFERENT STYLES SUBMITTED INTEGER EQUIDISTANT SEQUENCES NUMBER OF LETTERS IN WORDS

2021 ◽  
Vol 295 (2) ◽  
pp. 26-34
Author(s):  
ROMA KAMINSKYY ◽  
◽  
NATALIYA SHAKHOVSKA ◽  
BOHDAN KHUDOBA ◽  
◽  
...  
Keyword(s):  
Fractal Dimension ◽  
Fractal Analysis ◽  
Point Of View ◽  
Mathematical Representation ◽  
Unknown Parameters ◽  
Artistic Style ◽  
Spoken Text ◽  
Cumulative Summation ◽  
The Relationship

This paper presents the results of fractal analysis of models of texts of different styles. Integer numerical sequences, the elements of which are the number of letters in the words of the text, are used as models. An algorithm for calculating the exact value of the fractal dimension is presented, which provided the determination of the exact value of the Hirst index. In addition, the value of the power dependence constant R / S is calculated. The obtained indicators in the aspect of fractality fully describe the objects of research. This method is in fact a logical implementation of the known procedures of fractal analysis and its advantage is that it provides a rigorous mathematical representation of the values of the fractal dimension, the Hirst index and the constant in relation to the indicators of variation. The essence of his presentation is, first of all, as a warning to researchers against misinterpretation of the relationship R / S, because many researchers ignore the existence of a constant for this relationship. Indeed, this relation is a function with two unknown parameters and cannot be directly determined. With regard to the fractal dimension, we can point out that the least important is the conversational style, and the most – poetic. In other words, the model of colloquial text is the smallest part of its environment, poetic – the largest. From the point of view of Hirst’s index, the model of the spoken text contains a trend, while the model of the poem has a character closer to the random one. The largest scope of the cumulative series has a model of spoken text, and the smallest – a model of artistic style of the text. Since the cumulative series is a sequential (cumulative) summation of the sequence of deviations of elements from its arithmetic mean, its scope will depend on the presence of groups of elements of the sequence with very large deviations. Artistic style has the least significance of scope.

The Percolation Phenomenon and Fractal Dimension of Natural Silicates

2015 ◽  
Vol 365 ◽  
pp. 128-135
Author(s):  
Maria A. Vasilyeva ◽  
Yuri A. Gusev ◽  
Valery G. Shtyrlin ◽  
Yury N. Osin
Keyword(s):  
Fractal Dimension ◽  
Electron Micrographs ◽  
Fractal Analysis ◽  
Dielectric Spectroscopy ◽  
Fractal Dimensions ◽  
Adsorbed Water ◽  
Ambient Air ◽  
Silicate Structure ◽  
Percolation Phenomenon

Many physical effects, such asdcconductivity and percolation, depend on the morphology of the silicate structure and its relationship to adsorbed water. These effects play an important role in numerous technological applications, in geology, oil-extracting industry, and other practical fields. In this study, all the samples: natural montmorillonite, kaolinite, and сlinoptilolite with different exchangeable cations in their structures, – were stored in ambient air humidity. The investigation was carried by using two separate techniques, namely Dielectric Spectroscopy and a fractal analysis of electron micrographs. The aims of this work were to analyze the complex relaxation behavior of the relaxation process in temperature range –70°C ÷ +70°C and to determine the fractal dimensions of silicates from the dielectric response at percolation. Dielectric measurements in the frequency range of 1 Hz ÷ 1 MHz were performed using a BDS 80 Dielectric Spectrometer based on an Alpha Impedance Analyzer (Novocontrol). The micrographs were analyzed using a special Matlab based program. The analysis of aspects of the dielectric relaxation spectra related to percolation was used for the determination of the numerical characteristics of geometric heterogeneity of natural silicates. The percolation temperatures of the studied samples were determined. The percolation phenomenon in the silicates is related to the transfer of the electric excitation within the developed network of open pores due to the migration of protons and ions along the surface of connected pores on the outer surfaces of the granules. The analysis of these processes allows one to extract the fractal dimensions associated with the migration of charge carriers within the porous medium. Fractal dimensions of the silicates calculated in two ways: from dielectric spectroscopy study and from fractal analysis of the micrographs, – are in good agreement with each other. It was demonstrated that conventional method of the spatial fractal dimension determination using fractal analysis of electron micrographs leads to overestimation in the case of spatial fractal bounded by a surface fractal. The dielectric spectroscopy method is free from such overestimation.

scholarly journals Optimal Density Determination of Bouguer Anomaly Using Fractal Analysis (Case of Study: Charak Area, Iran)

2013 ◽  
Vol 2 (7) ◽  
pp. 80-85
Author(s):  
Hamid Reza Samadi
Keyword(s):  
Surface Roughness ◽  
Fractal Dimension ◽  
Fractal Analysis ◽  
Fractal Geometry ◽  
Host Rock ◽  
Bouguer Anomaly ◽  
Research Area ◽  
Density Difference ◽  
Optimal Density

In exploration geophysics the main and initial aim is to determine density of under-research goals which have certain density difference with the host rock. Therefore, we state a method in this paper to determine the density of bouguer plate, the so-called variogram method based on fractal geometry. This method is based on minimizing surface roughness of bouguer anomaly. The fractal dimension of surface has been used as surface roughness of bouguer anomaly. Using this method, the optimal density of Charak area insouth of Hormozgan province can be determined which is 2/7 g/cm^3for the under-research area. This determined density has been used to correct and investigate its results about the isostasy of the studied area and results well-coincided with the geology of the area and dug exploratory holes in the text area.

Heterogeneity of Cerebral Blood Flow: a Fractal Approach

2000 ◽  
Vol 39 (02) ◽  
pp. 37-42 ◽  
Author(s):  
P. Hartikainen ◽  
J. T. Kuikka
Keyword(s):  
Blood Flow ◽  
Cerebral Blood Flow ◽  
Fractal Dimension ◽  
Frontal Lobe ◽  
Fractal Analysis ◽  
Relative Dispersion ◽  
Emission Computed Tomography ◽  
Brain Blood Flow ◽  
Healthy Controls ◽  
Fractal Approach

Summary Aim: We demonstrate the heterogeneity of regional cerebral blood flow using a fractal approach and singlephoton emission computed tomography (SPECT). Method: Tc-99m-labelled ethylcysteine dimer was injected intravenously in 10 healthy controls and in 10 patients with dementia of frontal lobe type. The head was imaged with a gamma camera and transaxial, sagittal and coronal slices were reconstructed. Two hundred fifty-six symmetrical regions of interest (ROIs) were drawn onto each hemisphere of functioning brain matter. Fractal analysis was used to examine the spatial heterogeneity of blood flow as a function of the number of ROIs. Results: Relative dispersion (= coefficient of variation of the regional flows) was fractal-like in healthy subjects and could be characterized by a fractal dimension of 1.17 ± 0.05 (mean ± SD) for the left hemisphere and 1.15 ± 0.04 for the right hemisphere, respectively. The fractal dimension of 1.0 reflects completely homogeneous blood flow and 1.5 indicates a random blood flow distribution. Patients with dementia of frontal lobe type had a significantly lower fractal dimension of 1.04 ± 0.03 than in healthy controls. Conclusion: Within the limits of spatial resolution of SPECT, the heterogeneity of brain blood flow is well characterized by a fractal dimension. Fractal analysis may help brain scientists to assess age-, sex- and laterality-related anatomic and physiological changes of brain blood flow and possibly to improve precision of diagnostic information available for patient care.

A novel method for the determination of linting propensity of paper

TAPPI Journal ◽  
2012 ◽  
Vol 11 (10) ◽  
pp. 9-17
Author(s):  
ALESSANDRA GERLI ◽  
LEENDERT C. EIGENBROOD
Keyword(s):  
Ash Content ◽  
The Novel ◽  
Offset Printing ◽  
Excellent Correlation ◽  
End Conditions ◽  
Bottom Side ◽  
Novel Method ◽  
Total Fraction

A novel method was developed for the determination of linting propensity of paper based on printing with an IGT printability tester and image analysis of the printed strips. On average, the total fraction of the surface removed as lint during printing is 0.01%-0.1%. This value is lower than those reported in most laboratory printing tests, and more representative of commercial offset printing applications. Newsprint paper produced on a roll/blade former machine was evaluated for linting propensity using the novel method and also printed on a commercial coldset offset press. Laboratory and commercial printing results matched well, showing that linting was higher for the bottom side of paper than for the top side, and that linting could be reduced on both sides by application of a dry-strength additive. In a second case study, varying wet-end conditions were used on a hybrid former machine to produce four paper reels, with the goal of matching the low linting propensity of the paper produced on a machine with gap former configuration. We found that the retention program, by improving fiber fines retention, substantially reduced the linting propensity of the paper produced on the hybrid former machine. The papers were also printed on a commercial coldset offset press. An excellent correlation was found between the total lint area removed from the bottom side of the paper samples during laboratory printing and lint collected on halftone areas of the first upper printing unit after 45000 copies. Finally, the method was applied to determine the linting propensity of highly filled supercalendered paper produced on a hybrid former machine. In this case, the linting propensity of the bottom side of paper correlated with its ash content.

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