Percolation Theory for Flow in Porous Media

Percolation Theory for Flow in Porous Media
Title Percolation Theory for Flow in Porous Media PDF eBook
Author Allen Hunt
Publisher Springer Science & Business Media
Pages 334
Release 2009-05-05
Genre Science
ISBN 3540897895

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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.

Introduction To Percolation Theory

Introduction To Percolation Theory
Title Introduction To Percolation Theory PDF eBook
Author Dietrich Stauffer
Publisher CRC Press
Pages 205
Release 2018-12-10
Genre Science
ISBN 1482272377

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This work dealing with percolation theory clustering, criticallity, diffusion, fractals and phase transitions takes a broad approach to the subject, covering basic theory and also specialized fields like disordered systems and renormalization groups.

Percolation

Percolation
Title Percolation PDF eBook
Author Geoffrey R. Grimmett
Publisher Springer Science & Business Media
Pages 459
Release 2013-03-09
Genre Mathematics
ISBN 3662039818

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Percolation theory is the study of an idealized random medium in two or more dimensions. The emphasis of this book is upon core mathematical material and the presentation of the shortest and most accessible proofs. Much new material appears in this second edition including dynamic and static renormalization, strict inequalities between critical points, a sketch of the lace expansion, and several essays on related fields and applications.

Applications Of Percolation Theory

Applications Of Percolation Theory
Title Applications Of Percolation Theory PDF eBook
Author M Sahini
Publisher CRC Press
Pages 289
Release 2003-07-13
Genre Mathematics
ISBN 0203221532

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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.

Percolation Theory In Reservoir Engineering

Percolation Theory In Reservoir Engineering
Title Percolation Theory In Reservoir Engineering PDF eBook
Author Peter King
Publisher World Scientific
Pages 385
Release 2018-09-14
Genre Technology & Engineering
ISBN 1786345250

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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.

Percolation Theory and Ergodic Theory of Infinite Particle Systems

Percolation Theory and Ergodic Theory of Infinite Particle Systems
Title Percolation Theory and Ergodic Theory of Infinite Particle Systems PDF eBook
Author Harry Kesten
Publisher Springer Science & Business Media
Pages 322
Release 2012-12-06
Genre Mathematics
ISBN 1461387345

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This IMA Volume in ~athematics and its Applications PERCOLATION THEORY AND ERGODIC THEORY OF INFINITE PARTICLE SYSTEMS represents the proceedings of a workshop which was an integral part of the 19R4-85 IMA program on STOCHASTIC DIFFERENTIAL EQUATIONS AND THEIR APPLICATIONS We are grateful to the Scientific Committee: naniel Stroock (Chairman) Wendell Fleming Theodore Harris Pierre-Louis Lions Steven Orey George Papanicolaoo for planning and implementing an exciting and stimulating year-long program. We especially thank the Workshop Organizing Committee, Harry Kesten (Chairman), Richard Holley, and Thomas Liggett for organizing a workshop which brought together scientists and mathematicians in a variety of areas for a fruitful exchange of ideas. George R. Sell Hans Weinherger PREFACE Percolation theory and interacting particle systems both have seen an explosive growth in the last decade. These suhfields of probability theory are closely related to statistical mechanics and many of the publications on these suhjects (especially on the former) appear in physics journals, wit~ a great variahility in the level of rigour. There is a certain similarity and overlap hetween the methods used in these two areas and, not surprisingly, they tend to attract the same probabilists. It seemed a good idea to organize a workshop on "Percolation Theory and Ergodic Theory of Infinite Particle Systems" in the framework of the special probahility year at the Institute for Mathematics and its Applications in 1985-86. Such a workshop, dealing largely with rigorous results, was indeed held in February 1986.

Percolation

Percolation
Title Percolation PDF eBook
Author Bela Bollobás
Publisher Cambridge University Press
Pages 334
Release 2006-09-21
Genre Mathematics
ISBN 0521872324

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This book, first published in 2006, is an account of percolation theory and its ramifications.