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Modelling of Flow and Transport in Fractal Porous Media

Modelling of Flow and Transport in Fractal Porous Media
A Book

by Jianchao Cai,Liehui Zhang,Wei Wei

  • Publisher : Elsevier
  • Release : 2020-11-16
  • Pages : 262
  • ISBN : 0128177985
  • Language : En, Es, Fr & De
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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

A General Fractal Model of Flow and Transport in Heterogeneous Porous Media with Fractional Levy Motion Process

A General Fractal Model of Flow and Transport in Heterogeneous Porous Media with Fractional Levy Motion Process
A Book

by 陳冠志

  • Publisher : Unknown Publisher
  • Release : 2007
  • Pages : 122
  • ISBN : 9876543210XXX
  • Language : En, Es, Fr & De
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Mathematical Modeling for Flow and Transport Through Porous Media

Mathematical Modeling for Flow and Transport Through Porous Media
A Book

by Anonim

  • Publisher : Springer Science & Business Media
  • Release : 2013-06-29
  • Pages : 298
  • ISBN : 9401721998
  • Language : En, Es, Fr & De
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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.

Scientific and Technical Aerospace Reports

Scientific and Technical Aerospace Reports
A Book

by Anonim

  • Publisher : Unknown Publisher
  • Release : 1990
  • Pages : 329
  • ISBN : 9876543210XXX
  • Language : En, Es, Fr & De
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Flow and Transport Properties of Unconventional Reservoirs 2018

Flow and Transport Properties of Unconventional Reservoirs 2018
A Book

by Jianchao Cai,Zhien Zhang,Qinjun Kang,Harpreet Singh

  • Publisher : MDPI
  • Release : 2019-07-23
  • Pages : 364
  • ISBN : 3039211161
  • Language : En, Es, Fr & De
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Unconventional reservoirs are usually complex and highly heterogeneous, such as shale, coal, and tight sandstone reservoirs. The strong physical and chemical interactions between fluids and pore surfaces lead to the inapplicability of conventional approaches for characterizing fluid flow in these low-porosity and ultralow-permeability reservoir systems. Therefore, new theories and techniques are urgently needed to characterize petrophysical properties, fluid transport, and their relationships at multiple scales for improving production efficiency from unconventional reservoirs. This book presents fundamental innovations gathered from 21 recent works on novel applications of new techniques and theories in unconventional reservoirs, covering the fields of petrophysical characterization, hydraulic fracturing, fluid transport physics, enhanced oil recovery, and geothermal energy. Clearly, the research covered in this book is helpful to understand and master the latest techniques and theories for unconventional reservoirs, which have important practical significance for the economic and effective development of unconventional oil and gas resources.

Mathematical Modelling Of Flow Through Porous Media - Proceedings Of The Conference

Mathematical Modelling Of Flow Through Porous Media - Proceedings Of The Conference
A Book

by Bourgeat Alain P,Carasso Claude,Luckhaus Stephan

  • Publisher : World Scientific
  • Release : 1995-11-30
  • Pages : 532
  • ISBN : 9814548391
  • Language : En, Es, Fr & De
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Since the first edition of this book the literature on fitted mesh methods for singularly perturbed problems has expanded significantly. Over the intervening years, fitted meshes have been shown to be effective for an extensive set of singularly perturbed partial differential equations. In this revised version of this book, the reader will find an introduction to the basic theory associated with fitted numerical methods for singularly perturbed differential equations. Fitted mesh methods focus on the appropriate distribution of the mesh points for singularly perturbed problems. The global errors in the numerical approximations are measured in the pointwise maximum norm. The fitted mesh algorithm is particularly simple to implement in practice, but the theory of why these numerical methods work is far from simple. This book can be used as an introductory text to the theory underpinning fitted mesh methods.

Fundamentals of Geoenvironmental Engineering

Fundamentals of Geoenvironmental Engineering
Understanding Soil, Water, and Pollutant Interaction and Transport

by Abdel-Mohsen Onsy Mohamed,Evan K. Paleologos

  • Publisher : Butterworth-Heinemann
  • Release : 2017-10-31
  • Pages : 708
  • ISBN : 0128051450
  • Language : En, Es, Fr & De
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Fundamentals of Geoenvironmental Engineering: Understanding Soil, Water, and Pollutant Interaction and Transport examines soil-water-pollutant interaction, including physico-chemical processes that occur when soil is exposed to various contaminants. Soil characteristics relevant to remedial techniques are explored, providing foundations for the correct process selection. Built upon the authors' extensive experience in research and practice, the book updates and expands the content to include current processes and pollutants. The book discusses propagation of soil pollution and soil characteristics relevant to remedial techniques. Practicing geotechnical and environmental engineers can apply the theory and case studies in the book directly to current projects. The book first discusses the stages of economic development and their connections to the sustainability of the environment. Subsequent chapters cover waste and its management, soil systems, soil-water and soil-pollutant interactions, subsurface transport of pollutants, role of groundwater, nano-, micro- and biologic pollutants, soil characteristics that impact pollution diffusion, and potential remediation processes like mechanical, electric, magnetic, hydraulic and dielectric permittivity of soils. Presents a clear understanding of the propagation of pollutants in soils Identifies the physico-chemical processes in soils Covers emerging pollutants (nano-, micro- and biologic contaminants) Features in-depth coverage of hydraulic, electrical, magnetic and dielectric permittivity characteristics of soils and their impact on remedial technologies

Flow and Transport in Porous Media and Fractured Rock

Flow and Transport in Porous Media and Fractured Rock
From Classical Methods to Modern Approaches

by Muhammad Sahimi

  • Publisher : John Wiley & Sons
  • Release : 2011-05-09
  • Pages : 733
  • ISBN : 9783527636709
  • Language : En, Es, Fr & De
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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.

Heat and Mass Transfer in Drying of Porous Media

Heat and Mass Transfer in Drying of Porous Media
A Book

by Peng Xu,Agus P. Sasmito,Arun S. Mujumdar

  • Publisher : CRC Press
  • Release : 2019-07-16
  • Pages : 210
  • ISBN : 1351019201
  • Language : En, Es, Fr & De
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Heat and Mass Transfer in Drying of Porous Media offers a comprehensive review of heat and mass transfer phenomena and mechanisms in drying of porous materials. It covers pore-scale and macro-scale models, includes various drying technologies, and discusses the drying dynamics of fibrous porous material, colloidal porous media and size-distributed particle system. Providing guidelines for mathematical modeling and design as well as optimization of drying of porous material, this reference offers useful information for researchers and students as well as engineers in drying technology, food processes, applied energy, mechanical, and chemical engineering.

Calibration and Reliability in Groundwater Modelling

Calibration and Reliability in Groundwater Modelling
Coping with Uncertainty ; Proceedings of the ModelCare'99 Conference Held in Zurich, Switzerland, from 20 to 23 September 1999

by Fritz Stauffer

  • Publisher : Unknown Publisher
  • Release : 2000
  • Pages : 523
  • ISBN : 9781901502367
  • Language : En, Es, Fr & De
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Fractals

Fractals
Concepts and Applications in Geosciences

by Behzad Ghanbarian,Allen G. Hunt

  • Publisher : CRC Press
  • Release : 2017-11-23
  • Pages : 352
  • ISBN : 1351648306
  • Language : En, Es, Fr & De
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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.

Percolation Theory for Flow in Porous Media

Percolation Theory for Flow in Porous Media
A Book

by Allen Hunt,Robert Ewing,Behzad Ghanbarian

  • Publisher : Springer
  • Release : 2014-02-04
  • Pages : 447
  • ISBN : 3319037714
  • Language : En, Es, Fr & De
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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)

Petrophysical Characterization and Fluids Transport in Unconventional Reservoirs

Petrophysical Characterization and Fluids Transport in Unconventional Reservoirs
A Book

by Jianchao Cai,Xiangyun Hu

  • Publisher : Elsevier
  • Release : 2019-01-24
  • Pages : 352
  • ISBN : 0128172894
  • Language : En, Es, Fr & De
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Petrophysical Characterization and Fluids Transport in Unconventional Reservoirs presents a comprehensive look at these new methods and technologies for the petrophysical characterization of unconventional reservoirs, including recent theoretical advances and modeling on fluids transport in unconventional reservoirs. The book is a valuable tool for geoscientists and engineers working in academia and industry. Many novel technologies and approaches, including petrophysics, multi-scale modelling, rock reconstruction and upscaling approaches are discussed, along with the challenge of the development of unconventional reservoirs and the mechanism of multi-phase/multi-scale flow and transport in these structures. Includes both practical and theoretical research for the characterization of unconventional reservoirs Covers the basic approaches and mechanisms for enhanced recovery techniques in unconventional reservoirs Presents the latest research in the fluid transport processes in unconventional reservoirs

Applied Mechanics Reviews

Applied Mechanics Reviews
A Book

by Anonim

  • Publisher : Unknown Publisher
  • Release : 1996
  • Pages : 329
  • ISBN : 9876543210XXX
  • Language : En, Es, Fr & De
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Hyperbolic Problems: Theory, Numerics, Applications - Proceedings Of The Fifth International Conference

Hyperbolic Problems: Theory, Numerics, Applications - Proceedings Of The Fifth International Conference
A Book

by Glimm James,Graham M J,Grove J W

  • Publisher : World Scientific
  • Release : 1996-03-14
  • Pages : 508
  • ISBN : 9814548588
  • Language : En, Es, Fr & De
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This book presents an introduction to the theory of Sobolev spaces that is a fundamental tool in the modern study of partial differential equations. The authors' approach is based on the Poincaré inequality and demonstrates its importance in function theory and in the theory of PDEs.

Stochastic Methods for Flow in Porous Media

Stochastic Methods for Flow in Porous Media
Coping with Uncertainties

by Dongxiao Zhang

  • Publisher : Elsevier
  • Release : 2001-10-11
  • Pages : 368
  • ISBN : 9780080517773
  • Language : En, Es, Fr & De
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Stochastic Methods for Flow in Porous Media: Coping with Uncertainties explores fluid flow in complex geologic environments. The parameterization of uncertainty into flow models is important for managing water resources, preserving subsurface water quality, storing energy and wastes, and improving the safety and economics of extracting subsurface mineral and energy resources. This volume systematically introduces a number of stochastic methods used by researchers in the community in a tutorial way and presents methodologies for spatially and temporally stationary as well as nonstationary flows. The author compiles a number of well-known results and useful formulae and includes exercises at the end of each chapter. Balanced viewpoint of several stochastic methods, including Greens' function, perturbative expansion, spectral, Feynman diagram, adjoint state, Monte Carlo simulation, and renormalization group methods Tutorial style of presentation will facilitate use by readers without a prior in-depth knowledge of Stochastic processes Practical examples throughout the text Exercises at the end of each chapter reinforce specific concepts and techniques For the reader who is interested in hands-on experience, a number of computer codes are included and discussed

Frontiers in Numerical Analysis

Frontiers in Numerical Analysis
Durham 2002

by James Blowey,Alan Craig,Tony Shardlow

  • Publisher : Springer Science & Business Media
  • Release : 2012-12-06
  • Pages : 354
  • ISBN : 3642556922
  • Language : En, Es, Fr & De
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A set of detailed lecture notes on six topics at the forefront of current research in numerical analysis and applied mathematics. Each set of notes presents a self-contained guide to a current research area. Detailed proofs of key results are provided. The notes start from a level suitable for first year graduate students in applied mathematics, mathematical analysis or numerical analysis, and proceed to current research topics. Current (unsolved) problems are also described and directions for future research are given. This book is also suitable for professional mathematicians.

Multiphysics Modeling

Multiphysics Modeling
Materials, Components, and Systems

by Murat Peksen

  • Publisher : Academic Press
  • Release : 2018-06-27
  • Pages : 282
  • ISBN : 0128119039
  • Language : En, Es, Fr & De
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Multiphysics Modelling: Materials, Components, and Systems focuses on situations where coupled phenomena involving a combination of thermal, fluid, and solid mechanics occur. Important fundamentals of the various physics that are required in multiphysics modelling are introduced and supported with practical problems. More advanced topics such as creep deformation, fatigue and fracture, multiphase flow or melting in porous media are tackled. 3D interactions in system architectures and energy systems such as batteries, reformer or fuel cells, and modelling of high-performance materials are exemplified. Important multiphysics modelling issues are highlighted. In addition to theory, solutions to problems, such as in linear and non-linear situations are addressed, as well as specific solutions for multiphysics modelling of fluid-solid, solid-solid and fluid-fluid interactions are given. Drawing on teaching experience, industry solutions, and the latest research, this book is the most complete guide to multiphysics modelling available for students and researchers in diverse science and engineering disciplines. Provides a thorough intro to the theory behind multiphysics modeling Covers both linear and non-linear material behaviors Helps to answer practical questions such as when to use 2D or 3D modeling

Selected Topics of Computational and Experimental Fluid Mechanics

Selected Topics of Computational and Experimental Fluid Mechanics
A Book

by Jaime Klapp,Gerardo Ruíz Chavarría,Abraham Medina Ovando,Abel López Villa,Leonardo Di G. Sigalotti

  • Publisher : Springer
  • Release : 2015-03-05
  • Pages : 548
  • ISBN : 3319114875
  • Language : En, Es, Fr & De
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This book contains invited lectures and selected contributions presented at the Enzo Levi and XIX Annual Meeting of the Fluid Dynamic Division of the Mexican Physical Society in 2013. It is aimed at fourth year undergraduate and graduate students, and scientists in the fields of physics, engineering and chemistry who are interested in fluid dynamics from an experimental and theoretical point of view. The invited lectures are introductory and avoid the use of complicated mathematics. The fluid dynamics applications include multiphase flow, convection, diffusion, heat transfer, rheology, granular material, viscous flow, porous media flow, geophysics and astrophysics. The material contained in the book includes recent advances in experimental and theoretical fluid dynamics and is suitable for both teaching and research.

The Proceedings of the 5th Asia-Pacific Drying Conference

The Proceedings of the 5th Asia-Pacific Drying Conference
A Book

by Anonim

  • Publisher : Unknown Publisher
  • Release : 2021
  • Pages : 329
  • ISBN : 981447410X
  • Language : En, Es, Fr & De
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