Modelling of Flow and Transport in Fractal Porous Media

Modelling of Flow and Transport in Fractal Porous Media
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

Fractal Analysis

Fractal Analysis
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.

Advanced Ceramics and Applications

Advanced Ceramics and Applications
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.

Physics of Fractal Operators

Physics of Fractal Operators
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.

Fractal Models in Exploration Geophysics

Fractal Models in Exploration Geophysics
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

Fractal Geometries Theory and Applications

Fractal Geometries Theory and Applications
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.

Fractal Control Theory

Fractal Control Theory
Author: Shu-Tang Liu
Publisher: Springer
Total Pages: 300
Release: 2018-04-21
Genre: Technology & Engineering
ISBN: 9811070504

This book focuses on the control of fractal behaviors in nonlinear dynamics systems, addressing both the principles and purposes of control. For fractals in different systems, it presents revealing studies on the theory and applications of control, reflecting a spectrum of different control methods used with engineering technology. As such, it will benefit researchers, engineers, and graduate students in fields of fractals, chaos, engineering, etc.

Computational and Experimental Simulations in Engineering

Computational and Experimental Simulations in Engineering
Author: Hiroshi Okada
Publisher: Springer Nature
Total Pages: 1278
Release: 2019-11-16
Genre: Technology & Engineering
ISBN: 303027053X

This book gathers the latest advances, innovations, and applications in the field of computational engineering, as presented by leading international researchers and engineers at the 24th International Conference on Computational & Experimental Engineering and Sciences (ICCES), held in Tokyo, Japan on March 25-28, 2019. ICCES covers all aspects of applied sciences and engineering: theoretical, analytical, computational, and experimental studies and solutions of problems in the physical, chemical, biological, mechanical, electrical, and mathematical sciences. As such, the book discusses highly diverse topics, including composites; bioengineering & biomechanics; geotechnical engineering; offshore & arctic engineering; multi-scale & multi-physics fluid engineering; structural integrity & longevity; materials design & simulation; and computer modeling methods in engineering. The contributions, which were selected by means of a rigorous international peer-review process, highlight numerous exciting ideas that will spur novel research directions and foster multidisciplinary collaborations.

Hausdorff Calculus

Hausdorff Calculus
Author: Yingjie Liang
Publisher: Walter de Gruyter GmbH & Co KG
Total Pages: 213
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.