Modelling Of Flow And Transport In Fractal Porous Media


Modelling Of Flow And Transport In Fractal Porous Media
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Modelling Of Flow And Transport In Fractal Porous Media


Modelling Of Flow And Transport In Fractal Porous Media
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Author : Jianchao Cai
language : en
Publisher: Elsevier
Release Date : 2020-11-05

Modelling Of Flow And Transport In Fractal Porous Media written by Jianchao Cai and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-11-05 with Science categories.


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
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Author : Gedeon Dagan
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-06-29

Mathematical Modeling For Flow And Transport Through Porous Media written by Gedeon Dagan 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 2013-06-29 with Science categories.


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.



Flows In Porous Media And Fractured Rock


Flows In Porous Media And Fractured Rock
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Author : Muhammad Sahimi
language : en
Publisher: Wiley-VCH
Release Date : 1995-02-22

Flows In Porous Media And Fractured Rock written by Muhammad Sahimi and has been published by Wiley-VCH this book supported file pdf, txt, epub, kindle and other format this book has been release on 1995-02-22 with Science categories.


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.



Flow And Transport In Porous Media And Fractured Rock


Flow And Transport In Porous Media And Fractured Rock
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Author : Muhammad Sahimi
language : en
Publisher: John Wiley & Sons
Release Date : 2011-05-09

Flow And Transport In Porous Media And Fractured Rock written by Muhammad Sahimi and has been published by John Wiley & Sons this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-05-09 with Science categories.


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.



Porous Fluids


Porous Fluids
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Author : Vallampati Ramachandra Prasad
language : en
Publisher: BoD – Books on Demand
Release Date : 2021-08-18

Porous Fluids written by Vallampati Ramachandra Prasad and has been published by BoD – Books on Demand this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-08-18 with Science categories.


Written by authoritative experts in the field, this book discusses fluid flow and transport phenomena in porous media. Portions of the book are devoted to interpretations of experimental results in this area and directions for future research. It is a useful reference for applied mathematicians and engineers, especially those working in the area of porous media.



Handbook Of Porous Media


Handbook Of Porous Media
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Author : Kambiz Vafai
language : en
Publisher: CRC Press
Release Date : 2000-07-12

Handbook Of Porous Media written by Kambiz Vafai and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2000-07-12 with Science categories.


"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."



Computational Methods For Flow And Transport In Porous Media


Computational Methods For Flow And Transport In Porous Media
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Author : J.M. Crolet
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-03-14

Computational Methods For Flow And Transport In Porous Media written by J.M. Crolet 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 2013-03-14 with Science categories.


The first Symposium on Recent Advances in Problems of Flow and Transport in Porous Media was held in Marrakech in June '96 and has provided a focus for the utilization of computer methods for solving the many complex problems encountered in the field of solute transport in porous media. This symposium has been successful in bringing together scientists, physicists, hydrogeologists, researchers in soil and fluid mechanics and engineers involved in this multidisciplinary subject. It is clear that the utilization of computer-based models in this domain is still rapidly expanding and that new and novel solutions are being developed. The contributed papers which form this book reflect the recent advances, in particular with respect to new methods, inverse problems, reactive transport, unsaturated media and upscaling. These have been subdivided into the following sections: I. Numerical methods II. Mass transport and heat transfer III. Comparison with experimentation and simulation of real cases This book contains reviewed articles of the top presentations held during the International Symposium on Computer Methods in Porous Media Engineering which took place in Giens (France) in October 1998. All of the presentations and the optimism shown during the meeting provided further evidence that computer modeling is making remarkable progress and is indeed becoming an essential toolkit in the field of porous media and solute transport. I believe that the content of this book provides evidence of this and furthermore gives a comprehensive review of the theoretical developments and applications.



Flow And Contaminant Transport In Fractured Rock


Flow And Contaminant Transport In Fractured Rock
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Author : Jacob Bear
language : en
Publisher: Academic Press
Release Date : 2012-12-02

Flow And Contaminant Transport In Fractured Rock written by Jacob Bear and has been published by Academic Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-02 with Technology & Engineering categories.


In the past two or three decades, fractured rock domains have received increasing attention not only in reservoir engineering and hydrology, but also in connection with geological isolation of radioactive waste. Locations in both the saturated and unsaturated zones have been under consideration because such repositories are sources of heat and potential sources of groundwater contamination. Thus, in addition to the transport of mass of fluid phases in single and multiphase flow, the issues of heat transport and mass transport of components have to be addressed.



Fractals


Fractals
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Author : Behzad Ghanbarian
language : en
Publisher: CRC Press
Release Date : 2017-11-23

Fractals written by Behzad Ghanbarian and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-11-23 with Mathematics categories.


This book provides theoretical concepts and applications of fractals and multifractals to a broad range of audiences from various scientific communities, such as petroleum, chemical, civil and environmental engineering, atmospheric research, and hydrology. In the first chapter, we introduce fractals and multifractals from physics and math viewpoints. We then discuss theory and practical applications in detail. In what follows, in chapter 2, fragmentation process is modeled using fractals. Fragmentation is the breaking of aggregates into smaller pieces or fragments, a typical phenomenon in nature. In chapter 3, the advantages and disadvantages of two- and three-phase fractal models are discussed in detail. These two kinds of approach have been widely applied in the literature to model different characteristics of natural phenomena. In chapter 4, two- and three-phase fractal techniques are used to develop capillary pressure curve models, which characterize pore-size distribution of porous media. Percolation theory provides a theoretical framework to model flow and transport in disordered networks and systems. Therefore, following chapter 4, in chapter 5 the fractal basis of percolation theory and its applications in surface and subsurface hydrology are discussed. In chapter 6, fracture networks are shown to be modeled using fractal approaches. Chapter 7 provides different applications of fractals and multifractals to petrophysics and relevant area in petroleum engineering. In chapter 8, we introduce the practical advantages of fractals and multifractals in geostatistics at large scales, which have broad applications in stochastic hydrology and hydrogeology. Multifractals have been also widely applied to model atmospheric characteristics, such as precipitation, temperature, and cloud shape. In chapter 9, these kinds of properties are addressed using multifractals. At watershed scales, river networks have been shown to follow fractal behavior. Therefore, the applications of fractals are addressed in chapter 10. Time series analysis has been under investigations for several decades in physics, hydrology, atmospheric research, civil engineering, and water resources. In chapter 11, we therefore, provide fractal, multifractal, multifractal detrended fluctuation analyses, which can be used to study temporal characterization of a phenomenon, such as flow discharge at a specific location of a river. Chapter 12 addresses signals and again time series using a novel fractal Fourier analysis. In chapter 13, we discuss constructal theory, which has a perspective opposite to fractal theories, and is based on optimizationof diffusive exchange. In the case of river drainages, for example, the constructal approach begins at the divide and generates headwater streams first, rather than starting from the fundamental drainage pattern.



Mathematical Modelling Of Flow Through Porous Media Proceedings Of The Conference


Mathematical Modelling Of Flow Through Porous Media Proceedings Of The Conference
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Author : Alain P Bourgeat
language : en
Publisher: World Scientific
Release Date : 1995-11-30

Mathematical Modelling Of Flow Through Porous Media Proceedings Of The Conference written by Alain P Bourgeat and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 1995-11-30 with categories.


This proceedings volume contains contributions from leading scientists working on modelling and numerical simulation of flows through porous media and on mathematical analysis of the equations associated to the modelling. There is a number of contributions on rigorous results for stochastic media and for applications to numerical simulations. Modelling and simulation of environment and pollution are also subject of several papers. The published material herein gives an insight to the state of the art in the field with special attention for rigorous discussions and results.