Applications Of Percolation Theory
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Applications Of Percolation Theory
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Author : Muhammad Sahimi
language : en
Publisher: Springer Nature
Release Date : 2023-03-18
Applications Of Percolation Theory written by Muhammad Sahimi and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-03-18 with Science categories.
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
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Author : M Sahini
language : en
Publisher: CRC Press
Release Date : 1994-01-27
Applications Of Percolation Theory written by M Sahini and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1994-01-27 with Mathematics categories.
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 permeabilit
Applications Of Percolation Theory
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Author : M Sahini
language : en
Publisher: CRC Press
Release Date : 2003-07-13
Applications Of Percolation Theory written by M Sahini and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003-07-13 with Mathematics categories.
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
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Author : Peter King
language : en
Publisher: World Scientific
Release Date : 2018-09-14
Percolation Theory In Reservoir Engineering written by Peter King and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-09-14 with Technology & Engineering categories.
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 For Mathematicians
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Author : Kesten
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-11-11
Percolation Theory For Mathematicians written by Kesten and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-11-11 with Mathematics categories.
Quite apart from the fact that percolation theory had its orlgln in an honest applied problem (see Hammersley and Welsh (1980)), it is a source of fascinating problems of the best kind a mathematician can wish for: problems which are easy to state with a minimum of preparation, but whose solutions are (apparently) difficult and require new methods. At the same time many of the problems are of interest to or proposed by statistical physicists and not dreamt up merely to demons~te ingenuity. Progress in the field has been slow. Relatively few results have been established rigorously, despite the rapidly growing literature with variations and extensions of the basic model, conjectures, plausibility arguments and results of simulations. It is my aim to treat here some basic results with rigorous proofs. This is in the first place a research monograph, but there are few prerequisites; one term of any standard graduate course in probability should be more than enough. Much of the material is quite recent or new, and many of the proofs are still clumsy. Especially the attempt to give proofs valid for as many graphs as possible led to more complications than expected. I hope that the Applications and Examples provide justifi cation for going to this level of generality.
Introduction To Percolation Theory
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Author : A. Aharony
language : en
Publisher: Taylor & Francis
Release Date : 2003-07-13
Introduction To Percolation Theory written by A. Aharony and has been published by Taylor & Francis this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003-07-13 with Science categories.
Percolation theory deals with clustering, criticality, diffusion, fractals, phase transitions and disordered systems. It provides a quantitative model for understanding these phenomena, and therefore a theoretical and statistical background to many physical and natural sciences. This book explains the basic theory for the graduate while also reaching into the specialized fields of disordered systems and renormalization groups. Much of the book deals with systems lying close to the critical point phase transition point, where the subject is at its most interesting and sensitive. This text is ideal for those who deal with systems which exhibit critical points and phase transition behavior.
Percolation
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Author : Geoffrey R. Grimmett
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-03-09
Percolation written by Geoffrey R. Grimmett and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-03-09 with Mathematics categories.
Percolation theory is the study of an idealized random medium in two or more dimensions. The mathematical theory is mature, and continues to give rise to problems of special beauty and difficulty. Percolation is pivotal for studying more complex physical systems exhibiting phase transitions. The emphasis of this book is upon core mathematical material and the presentation of the shortest and most accessible proofs. The book is intended for graduate students and researchers in probability and mathematical physics. Almost no specialist knowledge is assumed. 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 Second Edition
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Author : Muhammad Sahimi
language : en
Publisher: CRC Press
Release Date : 2014-09-26
Applications Of Percolation Theory Second Edition written by Muhammad Sahimi and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-09-26 with Mathematics categories.
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.
Percolation Theory For Flow In Porous Media
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Author : Allen Hunt
language : en
Publisher: Springer Science & Business Media
Release Date : 2009-05-05
Percolation Theory For Flow In Porous Media written by Allen Hunt and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009-05-05 with Science categories.
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 Processes
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Author :
language : en
Publisher:
Release Date : 1978
Percolation Processes written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1978 with categories.