Fractals in Reservoir Engineering

Fractals in Reservoir Engineering
Author: H. H. Hardy
Publisher: World Scientific
Total Pages: 390
Release: 1994
Genre: Technology & Engineering
ISBN: 9789810220693

Many natural objects have been found to be fractal and fractal mathematics has been used to generate many beautiful ?nature? scenes. Fractal mathematics is used in image compression and for movies and is now becoming an engineering tool as well. This book describes the application of fractal mathematics to one engineering specialty ? reservoir engineering. This is the process of engineering the production of oil and gas. The reservoir engineer's job is to design and predict production from underground oil and gas reservoirs. The successful application of fractal mathematics to this engineering discipline should be of interest, not only to reservoir engineers, but to other engineers with their own potential applications as well. Geologists will find surprisingly good numerical descriptions of subsurface rock distributions. Physicists will be interested in the application of renormalization and percolation theory described in the book. Geophysicists will find the description of fluid flow scaling problems faced by the reservoir engineer similar to their problems of scaling the transport of acoustic signals.

Fractals in Petroleum Geology and Earth Processes

Fractals in Petroleum Geology and Earth Processes
Author: C.C. Barton
Publisher: Springer Science & Business Media
Total Pages: 338
Release: 2012-12-06
Genre: Technology & Engineering
ISBN: 1461518156

In this unique volume, renowned experts discuss the applications of fractals in petroleum research-offering an excellent introduction to the subject. Contributions cover a broad spectrum of applications from petroleum exploration to production. Papers also illustrate how fractal geometry can quantify the spatial heterogeneity of different aspects of geology and how this information can be used to improve exploration and production results.

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

Methods and Applications in Petroleum and Mineral Exploration and Engineering Geology

Methods and Applications in Petroleum and Mineral Exploration and Engineering Geology
Author: Said Gaci
Publisher: Elsevier
Total Pages: 412
Release: 2021-06-19
Genre: Science
ISBN: 0323856187

Methods and Applications in Petroleum and Mineral Exploration and Engineering Geology is an interdisciplinary book bridging the fields of earth sciences and engineering. It covers topics on natural resources exploration as well as the application of geological exploration methods and techniques to engineering problems. Each topic is presented through theoretical approaches that are illustrated by case studies from around the globe. Methods and Applications in Petroleum and Mineral Exploration and Engineering Geology is a key resource for both academics and professionals, offering both practical and applied knowledge in resources exploration and engineering geology. - Features new exploration technologies including seismic, satellite images, basin studies, geochemical modeling and analysis - Presents cases studies from different countries such as the Hoggar area (Algeria), Urals and Siberia (Russia), North of Chile (II and III regions), and North of Italy (Trentino Alto adige) - Includes applications of the novel methods discussed

Revival: Fractals in Soil Science (1998)

Revival: Fractals in Soil Science (1998)
Author: Philippe Baveye
Publisher: CRC Press
Total Pages: 400
Release: 2017-07-28
Genre: Technology & Engineering
ISBN: 135136569X

The application of fractals and fractal geometry in soil science has become increasingly important over the last few years. This self-contained and timely book was designed to provide detailed and comprehensive information on the current status of the application of fractal geometry in soil science, and on prospects for its future use. With a detailed and specific introductory chapter, particular attention is paid to comparing and contrasting "fractal" and "fragmentation" concepts. Some uses of fractals, such as to quantify the retention and transport properties of soils, to describe the intricate geometry of pore surfaces and macropore networks, or to elucidate the rooting patterns of various plants, are discussed. Applications of fractals in soil science are both relatively recent and in constant evolution. This book reflects accurately existing trends, by allowing sharp differences among the viewpoints expressed in contributed chapters to be presented to the reader in one self-contained volume.

Wavelets and Fractals in Earth System Sciences

Wavelets and Fractals in Earth System Sciences
Author: E. Chandrasekhar
Publisher: Taylor & Francis
Total Pages: 308
Release: 2013-11-20
Genre: Science
ISBN: 1466553596

The subject of wavelet analysis and fractal analysis is fast developing and has drawn a great deal of attention in varied disciplines of science and engineering. Over the past couple of decades, wavelets, multiresolution, and multifractal analyses have been formalized into a thorough mathematical framework and have found a variety of applications with significant impact in several branches of earth system sciences. Wavelets and Fractals in Earth System Sciences highlights the role of advanced data processing techniques in present-day research in various fields of earth system sciences. The book consists of ten chapters, providing a well-balanced blend of information about the role of wavelets, fractals, and multifractal analyses with the latest examples of their application in various research fields. By combining basics with advanced material, this book introduces concepts as needed and serves as an excellent introductory material and also as an advanced reference text for students and researchers.

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.

Fractals, Scaling and Growth Far from Equilibrium

Fractals, Scaling and Growth Far from Equilibrium
Author: Paul Meakin
Publisher: Cambridge University Press
Total Pages: 700
Release: 1998
Genre: Mathematics
ISBN: 9780521452533

A comprehensive, 1998 account of the practical aspects and pitfalls of the applications of fractal modelling in the physical sciences.

Fractal Models in Exploration Geophysics

Fractal Models in Exploration Geophysics
Author: V.P. Dimri
Publisher: Elsevier
Total Pages: 184
Release: 2012-07-17
Genre: Mathematics
ISBN: 0080451586

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