On Biased and Unbiased Diffusion in Fractal Media
Author | : Hernan L. Martinez |
Publisher | : |
Total Pages | : 252 |
Release | : 1993 |
Genre | : |
ISBN | : |
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Author | : Hernan L. Martinez |
Publisher | : |
Total Pages | : 252 |
Release | : 1993 |
Genre | : |
ISBN | : |
Author | : Jianchao Cai |
Publisher | : Elsevier |
Total Pages | : 274 |
Release | : 2020-11-05 |
Genre | : Science |
ISBN | : 0128177985 |
This important resource explores recent theoretical advances and modelling on fluids transport in fractal porous systems and presents a systematic understanding of the characterization of complex microstructure and transport mechanism in fractal porous media. Modelling of Flow and Transport in Fractal Porous Media shows how fractal theory and technology, combined with other modern experiments and numerical simulation methods, will assist researchers and practitioners in modelling of transport properties of fractal porous media, such as fluid flow, heat and mass transfer, mechanical characteristics, and electrical conductivity. Presents the main methods and technologies for transport characterization of fractal porous media, including soils, reservoirs and artificial materials Provides the most recent theoretical advances in modelling of fractal porous media, including gas and vapor transport in fibrous materials, nonlinear seepage flow in hydrocarbon reservoirs, mass transfer of porous nanofibers, and fractal mechanics of unsaturated soils Includes multidisciplinary examples of applications of fractal theory to aid researchers and practitioners in characterizing various porous media structures
Author | : Fernando Brambila |
Publisher | : BoD – Books on Demand |
Total Pages | : 296 |
Release | : 2017-06-14 |
Genre | : Mathematics |
ISBN | : 9535131915 |
Fractal analysis has entered a new era. The applications to different areas of knowledge have been surprising. Let us begin with the fractional calculus-fractal geometry relationship, which allows for modeling with extreme precision of phenomena such as diffusion in porous media with fractional partial differential equations in fractal objects. Where the order of the equation is the same as the fractal dimension, this allows us to make calculations with enormous precision in diffusion phenomena-particularly in the oil industry, for new spillage prevention. Main applications to industry, design of fractal antennas to receive all frequencies and that is used in all cell phones, spacecraft, radars, image processing, measure, porosity, turbulence, scattering theory. Benoit Mandelbrot, creator of fractal geometry, would have been surprised by the use of fractal analysis presented in this book: "Part I: Petroleum Industry and Numerical Analysis"; "Part II: Fractal Antennas, Spacecraft, Radars, Image Processing, and Measure"; and "Part III: Scattering Theory, Porosity, and Turbulence." It's impossible to picture today's research without fractal analysis.
Author | : Bruce West |
Publisher | : Springer Science & Business Media |
Total Pages | : 355 |
Release | : 2012-12-06 |
Genre | : Science |
ISBN | : 0387217460 |
This text describes the statistcal behavior of complex systems and shows how the fractional calculus can be used to model the behavior. The discussion emphasizes physical phenomena whose evolution is best described using the fractional calculus, such as systems with long-range spatial interactions or long-time memory. The book gives general strategies for understanding wave propagation through random media, the nonlinear response of complex materials, and the fluctuations of heat transport in heterogeneous materials.
Author | : Rainer Gadow |
Publisher | : Walter de Gruyter GmbH & Co KG |
Total Pages | : 399 |
Release | : 2021-10-04 |
Genre | : Technology & Engineering |
ISBN | : 3110625164 |
New ceramic materials are highly appreciated due to their manifold features including mechanical properties, environmental uses, energy applications and many more. This work presents the latest research development and covers a broad range of topics from stabilized zirconia ceramics with enhanced functional properties to ceramic components in medical/biological applications.
Author | : V.P. Dimri |
Publisher | : Elsevier |
Total Pages | : 184 |
Release | : 2012-10-22 |
Genre | : Science |
ISBN | : 0080914446 |
Researchers in the field of exploration geophysics have developed new methods for the acquisition, processing and interpretation of gravity and magnetic data, based on detailed investigations of bore wells around the globe. Fractal Models in Exploration Geophysics describes fractal-based models for characterizing these complex subsurface geological structures. The authors introduce the inverse problem using a fractal approach which they then develop with the implementation of a global optimization algorithm for seismic data: very fast simulated annealing (VFSA). This approach provides high-resolution inverse modeling results—particularly useful for reservoir characterization. Serves as a valuable resource for researchers studying the application of fractals in exploration, and for practitioners directly applying field data for geo-modeling Discusses the basic principles and practical applications of time-lapse seismic reservoir monitoring technology - application rapidly advancing topic Provides the fundamentals for those interested in reservoir geophysics and reservoir simulation study Demonstrates an example of reservoir simulation for enhanced oil recovery using CO2 injection
Author | : Alain Le Mehaute |
Publisher | : CRC Press |
Total Pages | : 214 |
Release | : 1991-11-11 |
Genre | : Mathematics |
ISBN | : 9780849377228 |
Fractal geometry, based on recursive mathematical schemas, provides a means for modeling a great number of natural phenomena. For this reason, it is of increasing interest to physicists, chemists, biologists, and geographers, among others. A major quality of fractality is that it not only unifies phenomena previously thought to be anomalous or disparate in a single theoretical framework, but it also promotes a return to graphical treatment, which had been almost completely banished from scientific thought in favor of analysis. This book casts a new, lively light on scientific territories still not fully explored. It is designed for research workers, engineers, and experimentalists faced with problems of measure and action in heterogenous materials and environments. Several color plates illustrate the implications and consequences of this theory for most of the questions raised by the taking into consideration of time in a fractal space.
Author | : Yingjie Liang |
Publisher | : Walter de Gruyter GmbH & Co KG |
Total Pages | : 222 |
Release | : 2019-03-04 |
Genre | : Mathematics |
ISBN | : 3110607050 |
This book introduces the fundamental concepts, methods, and applications of Hausdorff calculus, with a focus on its applications in fractal systems. Topics such as the Hausdorff diffusion equation, Hausdorff radial basis function, Hausdorff derivative nonlinear systems, PDE modeling, statistics on fractals, etc. are discussed in detail. It is an essential reference for researchers in mathematics, physics, geomechanics, and mechanics.
Author | : Vasily E. Tarasov |
Publisher | : Walter de Gruyter GmbH & Co KG |
Total Pages | : 314 |
Release | : 2019-02-19 |
Genre | : Mathematics |
ISBN | : 3110571706 |
This multi-volume handbook is the most up-to-date and comprehensive reference work in the field of fractional calculus and its numerous applications. This fourth volume collects authoritative chapters covering several applications of fractional calculus in physics, including classical and continuum mechanics.
Author | : Vladislav Mantic |
Publisher | : World Scientific |
Total Pages | : 521 |
Release | : 2013-10-25 |
Genre | : Technology & Engineering |
ISBN | : 178326411X |
This book provides a representative selection of the most relevant, innovative, and useful mathematical methods and models applied to the analysis and characterization of composites and their behaviour on micro-, meso-, and macroscale. It establishes the fundamentals for meaningful and accurate theoretical and computer modelling of these materials in the future. Although the book is primarily concerned with fibre-reinforced composites, which have ever-increasing applications in fields such as aerospace, many of the results presented can be applied to other kinds of composites. The topics covered include: scaling and homogenization procedures in composite structures, thin plate and wave solutions in anisotropic materials, laminated structures, instabilities, fracture and damage analysis of composites, and highly efficient methods for simulation of composites manufacturing. The results presented are useful in the design, fabrication, testing, and industrial applications of composite components and structures. The book is written by well-known experts in different areas of applied mathematics, physics, and composite engineering and is an essential source of reference for graduate and doctoral students, as well as researchers. It is also suitable for non-experts in composites who wish to have an overview of both the mathematical methods and models used in this area and the related open problems requiring further research.