Percolation Theory for Flow in Porous Media

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Publisher : Springer Science & Business Media
ISBN 13 : 3540897895
Total Pages : 334 pages
Book Rating : 4.5/5 (48 download)

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Book Synopsis Percolation Theory for Flow in Porous Media by : Allen Hunt

Download or read book Percolation Theory for Flow in Porous Media written by Allen Hunt and published by Springer Science & Business Media. This book was released on 2009-05-05 with total page 334 pages. Available in PDF, EPUB and Kindle. Book excerpt: Why would we wish to start a 2nd edition of “Percolation theory for ?ow in porous media” only two years after the ?rst one was ?nished? There are essentially three reasons: 1) Reviews in the soil physics community have pointed out that the introductory material on percolation theory could have been more accessible. Our additional experience in teaching this material led us to believe that we could improve this aspect of the book. In the context of rewriting the ?rst chapter, however, we also expanded the discussion of Bethe lattices and their relevance for “classical” - ponents of percolation theory, thus giving more of a basis for the discussion of the relevance of hyperscaling. This addition, though it will not tend to make the book more accessible to hydrologists, was useful in making it a more complete reference, and these sections have been marked as being possible to omit in a ?rst reading. It also forced a division of the ?rst chapter into two. We hope that physicists without a background in percolation theory will now also ?nd the - troductory material somewhat more satisfactory. 2) We have done considerable further work on problems of electrical conductivity, thermal conductivity, and electromechanical coupling.

Percolation Theory for Flow in Porous Media

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Publisher : Springer Science & Business Media
ISBN 13 : 9783540261100
Total Pages : 232 pages
Book Rating : 4.2/5 (611 download)

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Book Synopsis Percolation Theory for Flow in Porous Media by : Allen Hunt

Download or read book Percolation Theory for Flow in Porous Media written by Allen Hunt and published by Springer Science & Business Media. This book was released on 2005-09-15 with total page 232 pages. Available in PDF, EPUB and Kindle. Book excerpt: The present monograph presents, for the first time, a unified and comprehensive introduction to some of the basic transport properties of porous media, such as electrical and hydraulic conductivity, air permeability and diffusion. The treatment is based on critical path analysis and the scaling of transport properties which are individually described as functions of saturation. At the same time, the book supplies a tutorial on percolation theory for hydrologists, providing them with the tools for solving actual problems. In turn, a separate chapter serves to introduces physicists to some of the language and complications of groundwater hydrology necessary for succesful modelling.

Percolation Theory for Flow in Porous Media

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Publisher : Springer
ISBN 13 : 3319037714
Total Pages : 447 pages
Book Rating : 4.3/5 (19 download)

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Book Synopsis Percolation Theory for Flow in Porous Media by : Allen Hunt

Download or read book Percolation Theory for Flow in Porous Media written by Allen Hunt and published by Springer. This book was released on 2014-02-04 with total page 447 pages. Available in PDF, EPUB and Kindle. Book excerpt: This monograph presents, for the first time, a unified and comprehensive introduction to some of the basic transport properties of porous media, such as electrical and hydraulic conductivity, air permeability and diffusion. The approach is based on critical path analysis and the scaling of transport properties, which are individually described as functions of saturation. At the same time, the book supplies a tutorial on percolation theory for hydrologists, providing them with the tools for solving actual problems. In turn, a separate chapter serves to introduce physicists to some of the language and complications of groundwater hydrology necessary for successful modeling. The end-of-chapter problems often indicate open questions, which young researchers entering the field can readily start working on. This significantly revised and expanded third edition includes in particular two new chapters: one on advanced fractal-based models, and one devoted to the discussion of various open issues such as the role of diffusion vs. advection, preferential flow vs. critical path, universal vs. non-universal exponents for conduction, and last but not least, the overall influence of the experimental apparatus in data collection and theory validation. "The book is suitable for advanced graduate courses, with selected problems and questions appearing at the end of each chapter. [...] I think the book is an important work that will guide soil scientists, hydrologists, and physicists to gain a better qualitative and quantitative understanding of multitransport properties of soils." (Marcel G. Schaap, Soil Science Society of America Journal, May-June, 2006)

Complex Media and Percolation Theory

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Publisher : Springer
ISBN 13 : 9781071614563
Total Pages : 433 pages
Book Rating : 4.6/5 (145 download)

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Book Synopsis Complex Media and Percolation Theory by : Muhammad Sahimi

Download or read book Complex Media and Percolation Theory written by Muhammad Sahimi and published by Springer. This book was released on 2021-10-02 with total page 433 pages. Available in PDF, EPUB and Kindle. Book excerpt: Percolation theory describes the effects of the connectivity of microscopic or small-scale elements of a complex medium to its macroscopic or large-scale properties. It also describes the conditions under which there may be a continuously connected path of local elements across the medium. The point at which the path is formed is called the percolation threshold. Percolation theory also predicts that many macroscopic properties of complex media follow universal power laws near the percolation threshold that are independent of many microscopic features of such media. There are many applications of percolation theory across the natural sciences, from porous materials, to composite solids, complex networks, and biological systems. This book presents the essential elements of percolation theory, covers the problem of calculating the exponents that characterize the power laws that the percolation quantities follow near the percolation threshold, provides a clear description of the geometry of percolation clusters of the connected paths, and addresses several variations of percolation theory. In particular, bootstrap percolation, explosive percolation, and invasion percolation are featured, which expand the range of natural systems to which percolation may be applicable. In addition, coverage includes several important applications of percolation theory to a range of phenomena, ranging from electrical conductivity, thermopower, the Hall effect, and photoconductivity of disordered semiconductors, to flow, transport and reaction in porous media, geochemistry, biology, and ecology.

Physics of Flow in Porous Media

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Publisher : Cambridge University Press
ISBN 13 : 1108996361
Total Pages : 361 pages
Book Rating : 4.1/5 (89 download)

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Book Synopsis Physics of Flow in Porous Media by : Jens Feder

Download or read book Physics of Flow in Porous Media written by Jens Feder and published by Cambridge University Press. This book was released on 2022-10-06 with total page 361 pages. Available in PDF, EPUB and Kindle. Book excerpt: An invaluable reference for graduate students and academic researchers, this book introduces the basic terminology, methods and theory of the physics of flow in porous media. Geometric concepts, such as percolation and fractals, are explained and simple simulations are created, providing readers with both the knowledge and the analytical tools to deal with real experiments. It covers the basic hydrodynamics of porous media and how complexity emerges from it, as well as establishing key connections between hydrodynamics and statistical physics. Covering current concepts and their uses, this book is of interest to applied physicists and computational/theoretical Earth scientists and engineers seeking a rigorous theoretical treatment of this topic. Physics of Flow in Porous Media fills a gap in the literature by providing a physics-based approach to a field that is mostly dominated by engineering approaches.

Percolation Models for Transport in Porous Media

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Publisher : Springer Science & Business Media
ISBN 13 : 9401586268
Total Pages : 244 pages
Book Rating : 4.4/5 (15 download)

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Book Synopsis Percolation Models for Transport in Porous Media by : V.I. Selyakov

Download or read book Percolation Models for Transport in Porous Media written by V.I. Selyakov and published by Springer Science & Business Media. This book was released on 2013-03-09 with total page 244 pages. Available in PDF, EPUB and Kindle. Book excerpt: It is an honour and pleasure to write a foreword to this useful and interesting book. Authors are very well known researchers who pioneered percolation modelling of transport in porous media in Russia from the early 80-th till nowadays. The main scope of the work presented in the book was developed when bright papers by A. Aharony, H.T. Davis, F.A.L. Dullien, A.A. Heiba, R.G. Larson, R. Lenormand, M.Sahimi, L.E. Scriven, D. Stauffer, M. Yanuka, Y.C.Yortsos were not available at the "other" side of the Iron Curtain. Nowadays hundreds of works and papers with the "percolation" keywords ap pear in petroleum and related applied research areas. The book will take a re markable place in the "petroleum percolation" bibliography. There are two important features of novelty in the monograph presented. First of all the authors developed a generalization of percolation clusters theory for grids with varying conductivity. Technique of representation of an infinite cluster as an hierarchial set of trees (so called r-chain model) allows to present conductivity of a stochastic grid in a closed form of explicit formulae. This method differs from those known in the West, such as effective media theory, solutions for the Bethe-lattice, etc. It has his own area of successful appli cations.

Applications Of Percolation Theory

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Publisher : CRC Press
ISBN 13 : 0203221532
Total Pages : 289 pages
Book Rating : 4.2/5 (32 download)

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Book Synopsis Applications Of Percolation Theory by : M Sahini

Download or read book Applications Of Percolation Theory written by M Sahini and published by CRC Press. This book was released on 2003-07-13 with total page 289 pages. Available in PDF, EPUB and Kindle. Book excerpt: Over the past two decades percolation theory has been used to explain and model a wide variety of phenomena that are of industrial and scientific importance. Examples include characterization of porous materials and reservoir rocks, fracture patterns and earthquakes in rocks, calculation of effective transport properties of porous media permeability, conductivity, diffusivity, etc., groundwater flow, polymerization and gelation, biological evolution, galactic formation in the universe, spread of knowledge, and many others. Most of such applications have resulted in qualitative as well as quantitative predictions for the system of interest. This book attempts to describe in simple terms some of these applications, outline the results obtained so far, and provide further references for future reading.

Flow and Transport in Porous Media and Fractured Rock

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Publisher : John Wiley & Sons
ISBN 13 : 3527636706
Total Pages : 635 pages
Book Rating : 4.5/5 (276 download)

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Book Synopsis Flow and Transport in Porous Media and Fractured Rock by : Muhammad Sahimi

Download or read book Flow and Transport in Porous Media and Fractured Rock written by Muhammad Sahimi and published by John Wiley & Sons. This book was released on 2011-05-09 with total page 635 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this standard reference of the field, theoretical and experimental approaches to flow, hydrodynamic dispersion, and miscible displacements in porous media and fractured rock are considered. Two different approaches are discussed and contrasted with each other. The first approach is based on the classical equations of flow and transport, called 'continuum models'. The second approach is based on modern methods of statistical physics of disordered media; that is, on 'discrete models', which have become increasingly popular over the past 15 years. The book is unique in its scope, since (1) there is currently no book that compares the two approaches, and covers all important aspects of porous media problems; and (2) includes discussion of fractured rocks, which so far has been treated as a separate subject. Portions of the book would be suitable for an advanced undergraduate course. The book will be ideal for graduate courses on the subject, and can be used by chemical, petroleum, civil, environmental engineers, and geologists, as well as physicists, applied physicist and allied scientists that deal with various porous media problems.

Mechanics of Oil and Gas Flow in Porous Media

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Publisher : Springer Nature
ISBN 13 : 9811573131
Total Pages : 343 pages
Book Rating : 4.8/5 (115 download)

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Book Synopsis Mechanics of Oil and Gas Flow in Porous Media by : Dang Li

Download or read book Mechanics of Oil and Gas Flow in Porous Media written by Dang Li and published by Springer Nature. This book was released on 2020-08-17 with total page 343 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book discusses various aspects of percolation mechanics. It starts with the driving forces and driving modes and then examines in detail the steady state percolation of single-phase incompressible fluids, percolation law of natural gas and percolation of non-Newtonian fluids. Progressing from simple to complex concepts, it also analyzes Darcy’s law, providing a basis for the study of reservoir engineering, oil recovery engineering and reservoir numerical simulation. It serves as a textbook for undergraduate students majoring in petroleum engineering, petroleum geology and groundwater engineering, and offers a valuable reference guide for graduate students, researchers and technical engineers engaged in oil and gas exploration and development.

Modelling of Flow and Transport in Fractal Porous Media

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Publisher : Elsevier
ISBN 13 : 0128177985
Total Pages : 274 pages
Book Rating : 4.1/5 (281 download)

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Book Synopsis Modelling of Flow and Transport in Fractal Porous Media by : Jianchao Cai

Download or read book Modelling of Flow and Transport in Fractal Porous Media written by Jianchao Cai and published by Elsevier. This book was released on 2020-11-05 with total page 274 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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

Fluid Flow in Fractured Porous Media

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Publisher : MDPI
ISBN 13 : 303921473X
Total Pages : 492 pages
Book Rating : 4.0/5 (392 download)

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Book Synopsis Fluid Flow in Fractured Porous Media by : Yujing Jiang

Download or read book Fluid Flow in Fractured Porous Media written by Yujing Jiang and published by MDPI. This book was released on 2019-09-30 with total page 492 pages. Available in PDF, EPUB and Kindle. Book excerpt: The fluid flow in fracture porous media plays a significant role in the assessment of deep underground reservoirs, such as through CO2 sequestration, enhanced oil recovery, and geothermal energy development. Many methods have been employed—from laboratory experimentation to theoretical analysis and numerical simulations—and allowed for many useful conclusions. This Special Issue aims to report on the current advances related to this topic. This collection of 58 papers represents a wide variety of topics, including on granite permeability investigation, grouting, coal mining, roadway, and concrete, to name but a few. We sincerely hope that the papers published in this Special Issue will be an invaluable resource for our readers.

Percolation Theory In Reservoir Engineering

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Publisher : World Scientific
ISBN 13 : 1786345250
Total Pages : 384 pages
Book Rating : 4.7/5 (863 download)

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Book Synopsis Percolation Theory In Reservoir Engineering by : King Peter

Download or read book Percolation Theory In Reservoir Engineering written by King Peter and published by World Scientific. This book was released on 2018-09-14 with total page 384 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book aims to develop the ideas from fundamentals of percolation theory to practical reservoir engineering applications. Through a focus on field scale applications of percolation concepts to reservoir engineering problems, it offers an approximation method to determine many important reservoir parameters, such as effective permeability and reservoir connectivity and the physical analysis of some reservoir engineering properties. Starring with the concept of percolation theory, it then develops into methods to simple geological systems like sand-bodies and fractures. The accuracy and efficiency of the percolation concept for these is explained and further extended to more complex realistic models.Percolation Theory in Reservoir Engineering primarily focuses on larger reservoir scale flow and demonstrates methods that can be used to estimate large scale properties and their uncertainty, crucial for major development and investment decisions in hydrocarbon recovery. remove

Applications of Percolation Theory

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Publisher : Springer Nature
ISBN 13 : 3031203860
Total Pages : 690 pages
Book Rating : 4.0/5 (312 download)

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Book Synopsis Applications of Percolation Theory by : Muhammad Sahimi

Download or read book Applications of Percolation Theory written by Muhammad Sahimi and published by Springer Nature. This book was released on 2023-03-18 with total page 690 pages. Available in PDF, EPUB and Kindle. Book excerpt: The first edition of this book was published in 1994. Since then considerable progress has been made in both theoretical developments of percolation theory, and in its applications. The 2nd edition of this book is a response to such developments. Not only have all of the chapters of the 1st edition been completely rewritten, reorganized, and updated all the way to 2022, but also 8 new chapters have been added that describe extensive new applications, including biological materials, networks and graphs, directed percolation, earthquakes, geochemical processes, and large-scale real world problems, from spread of technology to ad-hoc mobile networks.

Applications of Percolation Theory, Second Edition

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Publisher : CRC Press
ISBN 13 : 9781466513396
Total Pages : 500 pages
Book Rating : 4.5/5 (133 download)

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Book Synopsis Applications of Percolation Theory, Second Edition by : Muhammad Sahimi

Download or read book Applications of Percolation Theory, Second Edition written by Muhammad Sahimi and published by CRC Press. This book was released on 2014-09-26 with total page 500 pages. Available in PDF, EPUB and Kindle. Book excerpt: Percolation theory provides a mathematical framework for the study of random physical processes such as flow through disordered porous media. It spans applications in the physical sciences and beyond natural phenomena. Double in size, this second edition provides an up-to-date account of these applications. After reviewing the theory, the book covers a range of applications and variations. Well known in the field, the author presents examples in phase transitions, semiconductors, geology, astrophysics, network modeling, and the social sciences.

Multiphase Flow in Permeable Media

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Publisher : Cambridge University Press
ISBN 13 : 1107093465
Total Pages : 503 pages
Book Rating : 4.1/5 (7 download)

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Book Synopsis Multiphase Flow in Permeable Media by : Martin J. Blunt

Download or read book Multiphase Flow in Permeable Media written by Martin J. Blunt and published by Cambridge University Press. This book was released on 2017-02-16 with total page 503 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides a fundamental description of multiphase fluid flow through porous rock, based on understanding movement at the pore, or microscopic, scale.

Percolation

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Publisher : Cambridge University Press
ISBN 13 : 0521872324
Total Pages : 334 pages
Book Rating : 4.5/5 (218 download)

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Book Synopsis Percolation by : Bela Bollobás

Download or read book Percolation written by Bela Bollobás and published by Cambridge University Press. This book was released on 2006-09-21 with total page 334 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book, first published in 2006, is an account of percolation theory and its ramifications.

Mathematical Theory of Oil and Gas Recovery

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Publisher : Springer Science & Business Media
ISBN 13 : 9401722056
Total Pages : 596 pages
Book Rating : 4.4/5 (17 download)

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Book Synopsis Mathematical Theory of Oil and Gas Recovery by : P. Bedrikovetsky

Download or read book Mathematical Theory of Oil and Gas Recovery written by P. Bedrikovetsky and published by Springer Science & Business Media. This book was released on 2013-04-17 with total page 596 pages. Available in PDF, EPUB and Kindle. Book excerpt: It is a pleasure to be asked to write the foreword to this interesting new book. When Professor Bedrikovetsky first accepted my invitation to spend an extended sabbatical period in the Department of Mineral Resources Engineering at Imperial College of Science, Technology and Medicine, I hoped it would be a period of fruitful collaboration. This book, a short course and a variety of technical papers are tangible evidence of a successful stay in the UK. I am also pleased that Professor Bedrikovetsky acted on my suggestion to publish this book with Kluwer as part of the petroleum publications for which I am Series Editor. The book derives much of its origin from the unpublished Doctor of Science thesis which Professor Bedrikovetsky prepared in Russian while at the Gubkin Institute. The original DSc contained a number of discrete publications unified by an analytical mathematics approach to fluid flow in petroleum reservoirs. During his sabbatical stay at Imperial College, Professor Bedrikovetsky has refined and extended many of the chapters and has discussed each one with internationally recognised experts in the field. He received great encouragement and editorial advice from Dr Gren Rowan, who pioneered analytical methods in reservoir modelling at BP for many years.