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Applications of Percolation Theory

2023-03-18 Science
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Release : 2023-03-18
Genre : Science
Kind : eBook
Book Rating : 860/5 ( reviews)

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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. This book was released on 2023-03-18. 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

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.

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, Second Edition

2014-09-26 Mathematics
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Release : 2014-09-26
Genre : Mathematics
Kind : eBook
Book Rating : 396/5 ( reviews)

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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. This book was released on 2014-09-26. 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.

Percolation Theory In Reservoir Engineering

2018-09-14 Technology & Engineering
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Release : 2018-09-14
Genre : Technology & Engineering
Kind : eBook
Book Rating : 250/5 ( reviews)

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Book Synopsis Percolation Theory In Reservoir Engineering by : Peter King

Download or read book Percolation Theory In Reservoir Engineering written by Peter King. This book was released on 2018-09-14. 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.

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