Applications Of Percolation Theory

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.

Author: M Sahini

Publisher: CRC Press

ISBN: 9780203221532

Category: Mathematics

Page: 276

View: 156

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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.

Applications Of Percolation Theory

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.

Author: M Sahini

Publisher: CRC Press

ISBN: 0748400761

Category: Mathematics

Page: 276

View: 933

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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 for Flow in Porous Media

Although applications of percolation theory have been reviewed in the porous media communities (e.g. Sahimi, 1993; Sahimi and Yortsos, 1990) (in fact, percolation theory was invented for treating flow in porous media, Broadbent and ...

Author: Allen Hunt

Publisher: Springer

ISBN: 9783319037714

Category: Science

Page: 447

View: 688

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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)

Applications of Percolation Theory to Modeling of Noncatalytic Gas solid Reactions

Reyes , S. and K. F. Jensen , 1985 , Percolation concepts in modeling gas - solid reactions . II . Application to char gasification ... Shante , V. K. S. and S. Kirkpatrick , 1971 , An introduction to percolation theory . Adv . Phys .

Author: Sebastian Reyes

Publisher:

ISBN: MINN:31951001281824S

Category: Chemical reaction, Conditions and laws of

Page:

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Percolation Theory In Reservoir Engineering

Sahimi, M., Applications of Percolation Theory. Taylor and Francis, London, pp. 258, 1994a. Sahimi, M., Long-range correlated percolation and flow and transport in heterogeneous porous media. Journal of Physics I, 4: 1263–1268, 1994b.

Author: King Peter

Publisher: World Scientific

ISBN: 9781786345257

Category: Technology & Engineering

Page: 384

View: 106

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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. remove

Applying Landscape Ecology in Biological Conservation

Research applications have far outstripped management applications of percolation theory in biological conservation. Although percolation theory in the form of NLMs was first introduced to ecologists more than a decade ago, applications ...

Author: Kevin Gutzwiller

Publisher: Springer Science & Business Media

ISBN: 9781461300595

Category: Science

Page: 518

View: 530

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This book provides a current synthesis of principles and applications in landscape ecology and conservation biology. Bringing together insights from leaders in landscape ecology and conservation biology, it explains how principles of landscape ecology can help us understand, manage and maintain biodiversity. Gutzwiller also identifies gaps in current knowledge and provides research approaches to fill those voids.

Introduction To Percolation Theory

But in contrast to many other modern research fronts, percolation theory is a problem which is, in principle, easy to define. ... in simple applications of probability theory, in theories for the gelation of branched macromolecules, ...

Author: Dietrich Stauffer

Publisher: CRC Press

ISBN: 9781420074796

Category: Science

Page: 192

View: 229

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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.

Introduction To Percolation Theory

But in contrast to many other modern research fronts, percolation theory is a problem which is, in principle, easy to define. ... in simple applications of probability theory, in theories for the gelation of branched macromolecules, ...

Author: A. Aharony

Publisher: Taylor & Francis

ISBN: 9781135747831

Category: Science

Page: 192

View: 919

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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.