Modelling of Flow and Transport in Fractal Porous Media

Modelling of Flow and Transport in Fractal Porous Media

Author: Jianchao Cai

Publisher: Elsevier

Published: 2020-11-05

Total Pages: 274

ISBN-13: 0128177985

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This important resource explores recent theoretical advances and modelling on fluids transport in fractal porous systems and presents a systematic understanding of the characterization of complex microstructure and transport mechanism in fractal porous media. Modelling of Flow and Transport in Fractal Porous Media shows how fractal theory and technology, combined with other modern experiments and numerical simulation methods, will assist researchers and practitioners in modelling of transport properties of fractal porous media, such as fluid flow, heat and mass transfer, mechanical characteristics, and electrical conductivity. Presents the main methods and technologies for transport characterization of fractal porous media, including soils, reservoirs and artificial materials Provides the most recent theoretical advances in modelling of fractal porous media, including gas and vapor transport in fibrous materials, nonlinear seepage flow in hydrocarbon reservoirs, mass transfer of porous nanofibers, and fractal mechanics of unsaturated soils Includes multidisciplinary examples of applications of fractal theory to aid researchers and practitioners in characterizing various porous media structures


Mathematical Modeling for Flow and Transport Through Porous Media

Mathematical Modeling for Flow and Transport Through Porous Media

Author: Gedeon Dagan

Publisher: Springer Science & Business Media

Published: 2013-06-29

Total Pages: 293

ISBN-13: 9401721998

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The main aim of this paper is to present some new and general results, ap plicable to the the equations of two phase flow, as formulated in geothermal reservoir engineering. Two phase regions are important in many geothermal reservoirs, especially at depths of order several hundred metres, where ris ing, essentially isothermal single phase liquid first begins to boil. The fluid then continues to rise, with its temperature and pressure closely following the saturation (boiling) curve appropriate to the fluid composition. Perhaps the two most interesting theoretical aspects of the (idealised) two phase flow equations in geothermal reservoir engineering are that firstly, only one component (water) is involved; and secondly, that the densities of the two phases are so different. This has led to the approximation of ignoring capillary pressure. The main aim of this paper is to analyse some of the consequences of this assumption, especially in relation to saturation changes within a uniform porous medium. A general analytic treatment of three dimensional flow is considered. Pre viously, three dimensional modelling in geothermal reservoirs have relied on numerical simulators. In contrast, most of the past analytic work has been restricted to one dimensional examples.


Modeling Transport Phenomena in Porous Media with Applications

Modeling Transport Phenomena in Porous Media with Applications

Author: Malay K. Das

Publisher: Springer

Published: 2017-11-21

Total Pages: 250

ISBN-13: 3319698664

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This book is an ensemble of six major chapters, an introduction, and a closure on modeling transport phenomena in porous media with applications. Two of the six chapters explain the underlying theories, whereas the rest focus on new applications. Porous media transport is essentially a multi-scale process. Accordingly, the related theory described in the second and third chapters covers both continuum‐ and meso‐scale phenomena. Examining the continuum formulation imparts rigor to the empirical porous media models, while the mesoscopic model focuses on the physical processes within the pores. Porous media models are discussed in the context of a few important engineering applications. These include biomedical problems, gas hydrate reservoirs, regenerators, and fuel cells. The discussion reveals the strengths and weaknesses of existing models as well as future research directions.


Flow and Transport in Porous Media and Fractured Rock

Flow and Transport in Porous Media and Fractured Rock

Author: Muhammad Sahimi

Publisher: John Wiley & Sons

Published: 2011-05-09

Total Pages: 635

ISBN-13: 3527636706

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In this standard reference of the field, theoretical and experimental approaches to flow, hydrodynamic dispersion, and miscible displacements in porous media and fractured rock are considered. Two different approaches are discussed and contrasted with each other. The first approach is based on the classical equations of flow and transport, called 'continuum models'. The second approach is based on modern methods of statistical physics of disordered media; that is, on 'discrete models', which have become increasingly popular over the past 15 years. The book is unique in its scope, since (1) there is currently no book that compares the two approaches, and covers all important aspects of porous media problems; and (2) includes discussion of fractured rocks, which so far has been treated as a separate subject. Portions of the book would be suitable for an advanced undergraduate course. The book will be ideal for graduate courses on the subject, and can be used by chemical, petroleum, civil, environmental engineers, and geologists, as well as physicists, applied physicist and allied scientists that deal with various porous media problems.


Flow and Transport in Fractured Porous Media

Flow and Transport in Fractured Porous Media

Author: Peter Dietrich

Publisher: Springer Science & Business Media

Published: 2005-12-12

Total Pages: 455

ISBN-13: 3540270124

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This book addresses the characterization of flow and transport in porous fractured media from experimental and modeling perspectives. It provides a comprehensive presentation of investigations performed and analyzed on different scales.


Flows in Porous Media and Fractured Rock

Flows in Porous Media and Fractured Rock

Author: Muhammad Sahimi

Publisher: Wiley-VCH

Published: 1995-02-22

Total Pages: 504

ISBN-13:

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Provides a comprehensive discussion of porous media problems, experimental methods for characterizing porous structures, classical approaches and modern methods and a comparison of both, and fractured rock and porous media.


Percolation Theory for Flow in Porous Media

Percolation Theory for Flow in Porous Media

Author: Allen Hunt

Publisher: Springer Science & Business Media

Published: 2009-05-05

Total Pages: 334

ISBN-13: 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.


Handbook of Porous Media

Handbook of Porous Media

Author: Kambiz Vafai

Publisher: CRC Press

Published: 2000-07-12

Total Pages: 927

ISBN-13: 0824741501

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"Presents the most important and up-to-date research related to heat transfer in porous media, focusing on practical applications of the latest studies to engineering products and procedures. Includes theoretical models of fluid flow, capillary effects, application of fractal and percolation characterizing porous materials, multiphase flow and heat transfer, turbulent flow and heat transfer, improved measurement and flow visualization techniques, and enhanced design correlations."