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Percolation Theory for Flow in Porous Media

2009-05-05 Science
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Release : 2009-05-05
Genre : Science
Kind : eBook
Book Rating : 895/5 ( reviews)

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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. This book was released on 2009-05-05. 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

2005-09-15 Science
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Release : 2005-09-15
Genre : Science
Kind : eBook
Book Rating : 100/5 ( reviews)

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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. This book was released on 2005-09-15. 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 Models for Transport in Porous Media

2013-03-09 Science
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Release : 2013-03-09
Genre : Science
Kind : eBook
Book Rating : 268/5 ( reviews)

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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. This book was released on 2013-03-09. 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.

Complex Media and Percolation Theory

2021-10-02 Science
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Release : 2021-10-02
Genre : Science
Kind : eBook
Book Rating : 563/5 ( reviews)

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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. This book was released on 2021-10-02. 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.

Applications Of Percolation Theory

2003-07-13 Mathematics
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Release : 2003-07-13
Genre : Mathematics
Kind : eBook
Book Rating : 532/5 ( reviews)

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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. This book was released on 2003-07-13. 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.

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