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Tytuł:
Wpływ transformacji lessu na cechy filtracyjne
The impact of loess transformation on its filtration characteristics
Autorzy:
Afelt, A.
Powiązania:
https://bibliotekanauki.pl/articles/2062271.pdf
Data publikacji:
2013
Wydawca:
Państwowy Instytut Geologiczny – Państwowy Instytut Badawczy
Tematy:
less
filtracja
przestrzeń porowa
wymiar fraktalny
loess
filtration
pore space
fractal dimension
Opis:
Przeanalizowano cechy ilościowe i przeprowadzono analizę stopnia uporządkowania przestrzeni porowej (wymiar fraktalny) lessów świeżych oraz przekształconych filtracyjnie. Wykazano powiązanie między słabą wodoprzepuszczalnością lessu świeżego, a procesem formowania retencji powierzchniowej w wymoku i wynikające z tego konsekwencje dla cech mikrostrukturalnych lessu. Wskazano wymoki, jako strefy preferencyjnej filtracji na obszarach lessowych.
The quantitative characteristics have been analysed and the analysis of the degree of the pore space structure (fractal dimension) of natural and transformed loesses has been conducted. The relation between poor water permeability and retention in closed depressions has been prooved and thus the consequences of that for microstructural characteristics of loess has been revealed. Closed depression has been identified as the areas of preferential filtration in loess areas.
Źródło:
Biuletyn Państwowego Instytutu Geologicznego; 2013, 456 Hydrogeologia z. 14/1; 27--32
0867-6143
Pojawia się w:
Biuletyn Państwowego Instytutu Geologicznego
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Application of concentration-number and concentration-volume fractal models to recognize mineralized zones in North Anomaly iron ore deposit, central Iran
Zastosowanie modeli fraktalnych typu K-L (koncentracja-liczba), oraz K-O (koncentracja-objętość) do rozpoznawania stref występowania surowców mineralnych w regionie złóż rud żelaza North Anomaly, w środkowym Iranie
Autorzy:
Afzal, P.
Ghasempour, R.
Mokhtari, A. R.
Haroni, H. A.
Powiązania:
https://bibliotekanauki.pl/articles/219456.pdf
Data publikacji:
2015
Wydawca:
Polska Akademia Nauk. Czytelnia Czasopism PAN
Tematy:
Concentration-Number (C-N)
Concentration-Volume (C-V)
fractal models
iron ore
North Anomaly
model koncentracja-liczba
model koncentracja-objętość
modele fraktalne
ruda żelaza
Opis:
Identification of various mineralized zones in an ore deposit is essential for mine planning and design. This study aims to distinguish the different mineralized zones and the wall rock in the Central block of North Anomaly iron ore deposit situated in Bafq (Central Iran) utilizing the concentration-number (C-N) and concentration-volume (C-V) fractal models. The C-N model indicates four mineralized zones described by Fe thresholds of 8%, 21%, and 50%, with zones <8% and >50% Fe representing wall rocks and highly mineralized zone, respectively. The C-V model reveals geochemical zones defined by Fe thresholds of 12%, 21%, 43% and 57%, with zones <12% Fe demonstrating wall rocks. Both the C-N and C-V models show that highly mineralized zones are situated in the central and western parts of the ore deposit. The results of validation of the fractal models with the geological model show that the C-N fractal model of highly mineralized zones is better than the C-V fractal model of highly mineralized zones based on logratio matrix.
Identyfikacja stref występowania surowców mineralnych jest kwestia kluczową przy planowaniu wydobycia i projektowaniu kopalni. Celem pracy jest rozróżnienie stref o różnej zawartości surowców mineralnych oraz pasma skalnego w środkowej części zagłębia Bafq (środkowa cześć Iranu) przy wykorzystaniu modeli fraktalnych typu koncentracja-liczba i koncentracja-objętość. Model koncentracja-liczba pozwala na wyróżnienie czterech stref występowania surowca, definiowanych poprzez progową zawartość żelaza w rudzie na poziomie 8%, 21%, i 50% oraz strefy <8% i >50% zawartości żelaza, co odpowiada pasmu skalnemu oraz strefie o wysokim stopniu zawartości rudy. Model koncentracja-objętość wskazuje na istnienie stref geochemicznych określonych poprzez progowe wartości zawartości żelaza: 12%, 21%, 43% i 57 % oraz strefy <12%, co odpowiada ścianie skalnej. Obydwa modele stwierdzają obecność stref o wysokim stopniu zawartości surowca w środkowej i zachodniej części złoża. Wyniki walidacji modeli fraktalnych przy użyciu modeli geologicznych wskazują, ze model fraktalny koncentracja-liczba lepiej odwzorowuje obecność stref o wysokiej zawartości rud niż model fraktalny typu koncentracja-objętość.
Źródło:
Archives of Mining Sciences; 2015, 60, 3; 777-789
0860-7001
Pojawia się w:
Archives of Mining Sciences
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Fractal analysis of ostracod shell variability: A comparison with geometric and classic morphometrics
Autorzy:
Aiello, G
Barattolo, F.
Barra, D.
Fiorito, G.
Mazzarella, A.
Raia, P.
Viola, R.
Powiązania:
https://bibliotekanauki.pl/articles/22918.pdf
Data publikacji:
2007
Wydawca:
Polska Akademia Nauk. Instytut Paleobiologii PAN
Tematy:
fractal analysis
variability
statistical method
systematics
Krithe compressa
ostracod
shell
Ostracoda
morphometry
morphological variability
Krithe iniqua
paleontology
Opis:
Two statistical methods, fractal geometry and geometric morphometrics, are tested for their applicability to ostracod systematics. For this comparison, two morphologically similar ostracod species (Krithe compressa and Krithe iniqua) whose genus−level systematics is still incompletely resolved, are selected. Twenty−nine right valves of each species were collected from the upper Pliocene samples at the Monte San Nicola section in southern Italy. Statistical analyses (MANOVA on morphometric shape variables, and D values) were utilized to test if geometric morphometrics and fractal analysis are appropriate into discriminating between the two species. Both methods succeeded in distinguishing the species statistically. The fractal analysis of the two ostracod species shows D values centered on 1.31±0.02 for Krithe iniqua and on 1.40±0.02 for Krithe compressa. Geometric morphometric analysis indicates significant differences between the two species and allows studying intra−populational variability as well as. The most variable traits indicated by geometric morphometrics are vestibular area and posterior outline of the shell, indicating that these traits are the most relevant for the systematics of the species analyzed. Both fractal geometry and geometric morphometrics provide a measure of population variability. Fractal analysis has the advantage of being free from any subjectivity in the selection of characters and could be most appropriate to use for analysis of complex ornamentation for systematic purposes. However, a possible advantage of geometric morphometrics over fractal analysis is its ability to indicate where statistically significant variations in shape occur on the shell.
Źródło:
Acta Palaeontologica Polonica; 2007, 52, 3
0567-7920
Pojawia się w:
Acta Palaeontologica Polonica
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Designing Eight-port Antenna Array for Multi-Band MIMO Applications in 5G Smartphones
Autorzy:
Al-Azzawi, Zainab Faydhe
AbdulSattar, Rusul Khalid
Muhsin, Muhannad Y.
Azeez, Mohammed Abdulrazzaq
Salim, Ali J.
Ali, Jawad K
Powiązania:
https://bibliotekanauki.pl/articles/27312953.pdf
Data publikacji:
2023
Wydawca:
Instytut Łączności - Państwowy Instytut Badawczy
Tematy:
5G communication
compact MIMO antenna
decoupling techniques
fractal geometry
multi-band antenna
Opis:
This article introduces a dual-functional low-profile compact multiple input multiple output (MIMO) antenna array for multi-band communication in 5G smartphones. The proposed eight elements of the antenna array form two different 4 ×4 MIMO systems. The first four elements are placed at the four mobile corners and operate in a single band of 3. 445– 3. 885 GHz for 5G n77 and n 78 applications. The other system, in which four antennas are positioned in the middle of the terminal board, supports two wide bands of 1 . 684– 2. 300 GHz and 4. 432 – 5. 638 for n 2, n 3, n 39, n 65, n 66, n 79 , and WLAN applications. The second iteration of a modified Peano-type fractal geometry served as the design foundation for the proposed antenna element. The system’s ground plane design is based on self-isolated and spatial diversity methods. The single-band MIMO system’s isolation is better than 23 dB. In the dual-band MIMO system that is based on self-isolation, isolation equals approximately 16 dB in the higher band and 10 dB in the lower band. To evaluate performance, radiation-related and total antenna efficiencies, scattering parameters and gains were investigated. Additionally, ECCs have been considered to evaluate MIMO performance. According to the results, such design constitutes a valuable option for MIMO applications in 5G smartphones.
Źródło:
Journal of Telecommunications and Information Technology; 2023, 4; 18--24
1509-4553
1899-8852
Pojawia się w:
Journal of Telecommunications and Information Technology
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Seismo Magnetic Moment Fractal Dimension for Characterizing Shajara Reservoirs of the Permo-Carboniferous Shajara Formation, Saudi Arabia
Autorzy:
Alkhidir, Khalid Elyas Mohamed Elameen
Powiązania:
https://bibliotekanauki.pl/articles/1030683.pdf
Data publikacji:
2020
Wydawca:
Przedsiębiorstwo Wydawnictw Naukowych Darwin / Scientific Publishing House DARWIN
Tematy:
Capillary pressure fractal dimension
Seismo magnetic moment fractal dimension
Shajara Formation
Shajara Reservoirs
Opis:
The quality and assessment of a reservoir can be documented in details by the application of seismo magnetic moment. This research aims to calculate fractal dimension from the relationship among seismo magnetic moment, maximum seismo magnetic moment and wetting phase saturation and to approve it by the fractal dimension derived from the relationship among capillary pressure and wetting phase saturation. Two equations for calculating the fractal dimensions have been employed. The first one describes the functional relationship between wetting phase saturation, seismo magnetic moment, maximum seismo magnetic moment and fractal dimension. The second equation implies to the wetting phase saturation as a function of capillary pressure and the fractal dimension. Two procedures for obtaining the fractal dimension have been utilized. The first procedure was done by plotting the logarithm of the ratio between seismo magnetic moment and maximum seismo magnetic moment versus logarithm wetting phase saturation. The slope of the first procedure = 3- Df (fractal dimension). The second procedure for obtaining the fractal dimension was determined by plotting the logarithm of capillary pressure versus the logarithm of wetting phase saturation. The slope of the second procedure = Df -3. On the basis of the obtained results of the fabricated stratigraphic column and the attained values of the fractal dimension, the sandstones of the Shajara reservoirs of the Shajara Formation were divided here into three units.
Źródło:
World Scientific News; 2020, 139, 2; 186-200
2392-2192
Pojawia się w:
World Scientific News
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Fractal analysis of tropical karst relief : South China Karst case study
Autorzy:
Andreychouk, Viacheslav
Blachowicz, Tomasz
Dłużewski, Maciej
Powiązania:
https://bibliotekanauki.pl/articles/2058635.pdf
Data publikacji:
2019
Wydawca:
Państwowy Instytut Geologiczny – Państwowy Instytut Badawczy
Tematy:
fractal dimension
cover factor
tropical karst
South China Karst
Opis:
Areas of tropical karst create the most spectacular earth landscapes from a geomorphological perspective. These areas are characterized by a variety of specific forms resulting from the long-term karst-erosion dismemberment of terrains in favourable humid tropical conditions. Tropical karst areas are extremely diverse from a geomorphological point of view both in terms of local conditions of development and developmental stages. Among the many types of karst relief, the following two basic types can be recognized: fenglin (tower karst) and fengcong (cone karst). The other types can be treated as a mixture of these two basic types. To find potential quantitative rates characterizing the two main types, as well as the mixed types, we calculated fractal dimensions and cover factors of 17 areas located within the two well-known regions of South China Karst - Guilin and Huanjiang. The calculations show that the numerical characteristics obtained, especially the cover factor parameter, can be useful as complementary tools in the recognition and typology of tropical karst relief and landscapes.
Źródło:
Geological Quarterly; 2019, 63, 4; 729--740
1641-7291
Pojawia się w:
Geological Quarterly
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Statistical analysis of petrophysical parameters of Middle Miocene rocks from the Polish Carpathian Foredeep
Autorzy:
Bala, M. J.
Jarzyna, J. A.
Mortimer, Z.
Powiązania:
https://bibliotekanauki.pl/articles/2060540.pdf
Data publikacji:
2012
Wydawca:
Państwowy Instytut Geologiczny – Państwowy Instytut Badawczy
Tematy:
Middle Miocene
Carpathian Foredeep
fractal correlation dimension
statistical analysis
well logging data
Opis:
Sarmatian thin-bedded sandstone and shales have been a subject of statistical studies to differentiate between good and poor reservoir rocks and to show gas-saturated layers in comparison to water-saturated strata. Statistical studies including fractal analysis were performed on well logging data from the Sędziszów 34 borehole drilled in a belt of hydrocarbon deposits that continue below the northern edge of the Carpathian–Stebnik overthrust. Lithological variability and porosity differentiation and changes in water saturation were traced on the basis of the results of well logging interpretation. Basic statistics and histograms of petrophysical parameters have been analysed. A generalized second order fractal correlation dimension was calculated for all parameters and analysed as for a time series. Fractal dimensions did not correlated with the parameters, but good positive correlations between them and the parameters were observed and showed that the curves analysed had the same type of complexity. High correlation coefficients showed pairs of fractal dimensions for those parameters which had similar variability and the same curve roughness. The fractal correlation dimension described the type of complexity of the parameter (curve roughness) and indicated, for example, how shaliness influenced the reservoir properties of the local Middle Miocene. Therefore, the results were also useful in practice, which gave extra information on thin-bedded reservoir rocks.
Źródło:
Geological Quarterly; 2012, 56, 4; 665--680
1641-7291
Pojawia się w:
Geological Quarterly
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Prediction of CEC using fractal parameters by artificial neural networks
Autorzy:
Bayat, H.
Davatgar, N.
Jalali, M.
Powiązania:
https://bibliotekanauki.pl/articles/25675.pdf
Data publikacji:
2014
Wydawca:
Polska Akademia Nauk. Instytut Agrofizyki PAN
Tematy:
cation exchange capacity
prediction
fractal structure
fractal theory
particle size distribution
artificial neural network
pedotransfer function
Opis:
The prediction of cation exchange capacity from readily available soil properties remains a challenge. In this study, firstly, we extended the entire particle size distribution curve from limited soil texture data and, at the second step, calculated the fractal parameters from the particle size distribution curve. Three pedotransfer functions were developed based on soil properties, parameters of particle size distribution curve model and fractal parameters of particle size distribution curve fractal model using the artificial neural networks technique. 1 662 soil samples were collected and separated into eight groups. Particle size distribution curve model parameters were estimated from limited soil texture data by the Skaggs method and fractal parameters were calculated by Bird model. Using particle size distribution curve model parameters and fractal parameters in the pedotransfer functions resulted in improvements of cation exchange capacity predictions. The pedotransfer functions that used fractal parameters as predictors performed better than the those which used particle size distribution curve model parameters. This can be related to the non-linear relationship between cation exchange capacity and fractal parameters. Partitioning the soil samples significantly increased the accuracy and reliability of the pedotransfer functions. Substantial improvement was achieved by utilising fractal parameters in the clusters.
Źródło:
International Agrophysics; 2014, 28, 2
0236-8722
Pojawia się w:
International Agrophysics
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Multifractal detrended fluctuation analysis of heart rate variability
Autorzy:
Bębas, Ewelina
Kasperczuk, Anna
Oczeretko, Edward
Bossowski, Artur
Borowska, Marta
Powiązania:
https://bibliotekanauki.pl/chapters/2204804.pdf
Data publikacji:
2022
Wydawca:
Politechnika Białostocka. Oficyna Wydawnicza Politechniki Białostockiej
Tematy:
fractal dimension
heart rate variability
ECG
diabetes
children
multifractal detrended fluctuation analysis
multifractal
Opis:
The analysis of heart rate variability can be used to predict cardiovascular state in diabetic children. Studies on HRV are mainly based on RR intervals of the ECG signal and include both linear indices and nonlinear characteristics. The current study aims at applying Multifractal Detrended Fluctuation Analysis to investigate signals of the heart rate variability (HRV) in 50 healthy children (group K), 27 patients suffering from diabetes type 1 without subsequent vascular complications (group A) and 35 patients suffering from diabetes type 1 with subsequent vascular complications (hypertension) (group B). Multifractal features were extracted to quantitatively compare signal complexity between the healthy group and the group of children with diabetes and diabetes with complications. The MFDFA analysis showed the multi-fractional nature of the signals in all groups. The characteristic MFDFA parameters were determined and subjected to statistical analysis. It showed differences in parameters h(1) and h(2) between the control group K and group A. This gives rise to the development of further research in an attempt to distinguish between these groups.
Źródło:
Advances in biomedical engineering; 109-122
9788367185400
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Numerical analysis of fundus eye images in frequency domain
Autorzy:
Berndt-Schreiber, M.
Bączkowska, A.
Powiązania:
https://bibliotekanauki.pl/articles/333682.pdf
Data publikacji:
2004
Wydawca:
Uniwersytet Śląski. Wydział Informatyki i Nauki o Materiałach. Instytut Informatyki. Zakład Systemów Komputerowych
Tematy:
obrazowanie dna oka
dziedzina częstotliwości
widmowy wymiar fraktalny
fundus eye images
frequency domain
spectral fractal dimension
Opis:
A new approach in the analysis of fundus images performed in frequency domain is described. It is related to specific features of the power spectrum and refers to the notion of spectral fractal dimension as well. Preliminary calculations have been carried out for sample series of diagnosed fundus eye images. The results and proposals for further improvements of the method are discussed.
Źródło:
Journal of Medical Informatics & Technologies; 2004, 7; MIP13-20
1642-6037
Pojawia się w:
Journal of Medical Informatics & Technologies
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Speech and Music – Nonlinear Acoustical Decoding in Neurocognitive Scenario
Autorzy:
Bhaduri, S.
Ghosh, D.
Powiązania:
https://bibliotekanauki.pl/articles/177385.pdf
Data publikacji:
2018
Wydawca:
Polska Akademia Nauk. Czytelnia Czasopism PAN
Tematy:
speech signal
multifractality
Visibility Graph
Fractal Darwinism
neurocognitive disorders
Opis:
Speech and music signals are multifractal phenomena. The time displacement profile of speech and music signal show strikingly different scaling behaviour. However, a full complexity analysis of their frequency and amplitude has not been made so far. We propose a novel complex network based approach (Visibility Graph) to study the scaling behaviour of frequency wise amplitude variation of speech and music signals over time and then extract their PSVG (Power of Scale freeness of Visibility Graph). From this analysis it emerges that the scaling behaviour of amplitude-profile of music varies a lot from frequency to frequency whereas it’s almost consistent for the speech signal. Our left auditory cortical areas are proposed to be neurocognitively specialised in speech perception and right ones in music. Hence we can conclude that human brain might have adapted to the distinctly different scaling behaviour of speech and music signals and developed different decoding mechanisms, as if following the so called Fractal Darwinism. Using this method, we can capture all non-stationary aspects of the acoustic properties of the source signal to the deepest level, which has huge neurocognitive significance. Further, we propose a novel non-invasive application to detect neurological illness (here autism spectrum disorder, ASD), using the quantitative parameters deduced from the variation of scaling behaviour for speech and music.
Źródło:
Archives of Acoustics; 2018, 43, 4; 593-602
0137-5075
Pojawia się w:
Archives of Acoustics
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Possibilities of Using Fractal Geometry to Identify Areas at Risk of Their Shoreline Becoming Outdated
Możliwości wykorzystania geometrii fraktalnej do wykrywania obszarów narażonych na dezaktualizację linii brzegowej
Autorzy:
Bieda, A.
Powiązania:
https://bibliotekanauki.pl/articles/385616.pdf
Data publikacji:
2016
Wydawca:
Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie. Wydawnictwo AGH
Tematy:
linia brzegowa
fraktal
wymiar pudełkowy
kataster nieruchomości
shoreline
fractal
box-counting dimension
cadastre
Opis:
Wody powierzchniowe płynące to jeden z najszybciej i najbardziej nieprzewidywalnie zmieniających się elementów otoczenia człowieka, który wpływa na dane wprowadzane do baz danych Państwowego Zasobu Geodezyjnego i Kartografi cznego (przede wszystkim do ewidencji gruntów i budynków). W celu wyznaczenia obszarów narażonych na dezaktualizację ze względu na działanie wody powierzchniowej wykorzystano fakt, że linia brzegowa traktowana jest jako jeden z tz w. fraktali naturalnych. Aby sprawdzić, czy na poziomie szczegółowości bazy danych katastralnych rzeki zachowują swoje fraktalne właściwości oraz czy te właściwości mogłyby zostać wykorzystane do wykrywania obszarów narażonych na dezaktualizację linii brzegowej, przenalizowano przebieg linii brzegowej oraz zmiany w konfi guracji granic ewidencyjnych działek położonych w ich sąsiedztwie. Analizowany obszar to kilkunastokilometrowy odcinek Wisły pod Krakowem.
Surface flowing water is one of the fastest-changing and most unpredictable elements of the human environment, which affects the data entered into the database of the National Geodetic and Cartographic Documentation Center (primarily to the register of land and buildings). The fact that the shoreline is regarded as one of the so-called natural fractals was used in order to identify areas at risk of becoming outdated due to the action of surface water. To verify whether, at the level of detail of the cadastral database, rivers retain their fractal properties and whether these properties could be used to identify areas at risk of the shoreline becoming outdated, the course of the shoreline was analyzed, as well as the changes in the configuration of the boundaries of cadastral parcels located in their neighborhood. The analyzed area covered a several-kilometer section of the Vistula River near Krakow.
Źródło:
Geomatics and Environmental Engineering; 2016, 10, 3; 39-47
1898-1135
Pojawia się w:
Geomatics and Environmental Engineering
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Fractal analysis of land development elements for spatial planning purposes
Autorzy:
Bieda, Agnieszka
Adamczyk, Tomasz
Bydłosz, Jarosław
Cichociński, Piotr
Parzych, Piotr
Powiązania:
https://bibliotekanauki.pl/articles/2191386.pdf
Data publikacji:
2021
Wydawca:
Stowarzyszenie SILGIS
Tematy:
box-counting dimension
fractal structures
land-use
planning procedure
regional planning
wymiar pudełkowy
struktury fraktalne
zagospodarowanie terenu
procedura planistyczna
planowanie regionalne
Opis:
Spatial planning is a set of complex processes that aim to determine the correct location of objects in the established area subject to planning procedures. Planning documents, executed at all levels of detail, must consider the current state of land development, both in the area subject to land-use planning procedures and adjacent areas. Hence, the creation of such documents must be preceded by multiple analyses. These considerations should lead to the determination of conditions to be met by future land development elements in such a way as to take into account and use the existing ones. Because land use elements such as river network, road networks, buildings or forest areas are considered examples of random fractals, it was considered that the detection of fractal structures in area subject to land-use planning procedures could facilitate decision-making processes during creation of planning documents on a regional scale. This paper checks if it is possible to mathematically describe the clear chaos that prevails in the existing area subject to land-use planning procedures and if the use of fractal analysis in spatial planning is possible. The research was based on data from the Database of General Geographical Objects and the Bank of Local Data. Analyses were conducted within the borders of provinces.
Źródło:
GIS Odyssey Journal; 2021, 1, 1; 131--145
2720-2682
Pojawia się w:
GIS Odyssey Journal
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Ceramic Mould Internal Structure Anomalies in the Lost Wax Process
Autorzy:
Biernacki, R.
Grześ, J.
Haratym, R.
Tomasik, J.
Powiązania:
https://bibliotekanauki.pl/articles/380913.pdf
Data publikacji:
2014
Wydawca:
Polska Akademia Nauk. Czytelnia Czasopism PAN
Tematy:
ceramic mould
anisotropy properties
fractal dimension
heat transfer coefficient
formy ceramiczne
właściwości anizotropowe
wymiar fraktalny
współczynnik przewodnictwa cieplnego
Opis:
The paper analyzes the structure of the ceramic mould, which include discussion about its structure creation. The results of research relate to the strength of the ceramic mould and its thermophysical properties. Structural anisotropy was found and its influence on the mould surface morphology depending on its position with respect to the sprue in the assembly set. The paper also presents evaluation of microgeometry of patterns, ceramic mould and casts produced in a joint production process. Last part includes the results of the fractal dimension measurements of ceramic mould cross-sections. The analysis was based on the mould porosity. For the analyzed structures the percentage of pores and linear fractal dimension was determined, using the line counting dimension method (LCD), which is a modification of box counting dimension method (BCD).
Źródło:
Archives of Foundry Engineering; 2014, 14, 1 spec.; 57-62
1897-3310
2299-2944
Pojawia się w:
Archives of Foundry Engineering
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Asymptotics for multifractal conservation laws
Autorzy:
Biler, Piotr
Karch, Grzegorz
Woyczynski, Wojbor
Powiązania:
https://bibliotekanauki.pl/articles/1216945.pdf
Data publikacji:
1999
Wydawca:
Polska Akademia Nauk. Instytut Matematyczny PAN
Tematy:
generalized Burgers equation
fractal diffusion
asymptotics of solutions
Opis:
We study asymptotic behavior of solutions to multifractal Burgers-type equation $u_t + f(u)_x = Au$, where the operator A is a linear combination of fractional powers of the second derivative $-∂^2/ ∂ x^2$ and f is a polynomial nonlinearity. Such equations appear in continuum mechanics as models with fractal diffusion. The results include decay rates of the $L^p$-norms, 1 ≤ p ≤ ∞, of solutions as time tends to infinity, as well as determination of two successive terms of the asymptotic expansion of solutions.
Źródło:
Studia Mathematica; 1999, 135, 3; 231-252
0039-3223
Pojawia się w:
Studia Mathematica
Dostawca treści:
Biblioteka Nauki
Artykuł
Wyświetlanie 1-15 z 190

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