Modelling of Flow and Transport in Fractal Porous Media

Modelling of Flow and Transport in Fractal Porous Media
Author: Jianchao Cai,Liehui Zhang,Wei Wei
Publsiher: Elsevier
Total Pages: 262
Release: 2020-11-16
ISBN: 0128177985
Category: Science
Language: EN, FR, DE, ES & NL

Modelling of Flow and Transport in Fractal Porous Media Book Excerpt:

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
Author: 陳冠志
Publsiher: Unknown
Total Pages: 122
Release: 2007
ISBN: 1928374650XXX
Category: Electronic Book
Language: EN, FR, DE, ES & NL

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

Flow and Transport Properties of Unconventional Reservoirs 2018

Flow and Transport Properties of Unconventional Reservoirs 2018
Author: Jianchao Cai,Zhien Zhang,Qinjun Kang,Harpreet Singh
Publsiher: MDPI
Total Pages: 364
Release: 2019-07-23
ISBN: 3039211161
Category: Technology & Engineering
Language: EN, FR, DE, ES & NL

Flow and Transport Properties of Unconventional Reservoirs 2018 Book Excerpt:

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 Modeling for Flow and Transport Through Porous Media

Mathematical Modeling for Flow and Transport Through Porous Media
Author: Gedeon Dagan,Ulrich Hornung,Peter Knabner
Publsiher: Springer Science & Business Media
Total Pages: 298
Release: 2013-06-29
ISBN: 9401721998
Category: Science
Language: EN, FR, DE, ES & NL

Mathematical Modeling for Flow and Transport Through Porous Media Book Excerpt:

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
Author: Anonim
Publsiher: Unknown
Total Pages: 135
Release: 1990
ISBN: 1928374650XXX
Category: Aeronautics
Language: EN, FR, DE, ES & NL

Scientific and Technical Aerospace Reports Book Excerpt:

Fundamentals of Geoenvironmental Engineering

Fundamentals of Geoenvironmental Engineering
Author: Abdel-Mohsen Onsy Mohamed,Evan K. Paleologos
Publsiher: Butterworth-Heinemann
Total Pages: 708
Release: 2017-10-31
ISBN: 0128051450
Category: Technology & Engineering
Language: EN, FR, DE, ES & NL

Fundamentals of Geoenvironmental Engineering Book Excerpt:

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

Syllabus omnium vocabulorum Grammaticae Eman Alvari in nostram vernaculam conversorum

Syllabus omnium vocabulorum Grammaticae Eman  Alvari     in nostram vernaculam conversorum
Author: Anonim
Publsiher: Unknown
Total Pages: 135
Release: 1654
ISBN: 1928374650XXX
Category: Electronic Book
Language: EN, FR, DE, ES & NL

Syllabus omnium vocabulorum Grammaticae Eman Alvari in nostram vernaculam conversorum Book Excerpt:

Calibration and Reliability in Groundwater Modelling

Calibration and Reliability in Groundwater Modelling
Author: Fritz Stauffer
Publsiher: Unknown
Total Pages: 523
Release: 2000
ISBN: 9781901502367
Category: Groundwater
Language: EN, FR, DE, ES & NL

Calibration and Reliability in Groundwater Modelling Book Excerpt:

Heat and Mass Transfer in Drying of Porous Media

Heat and Mass Transfer in Drying of Porous Media
Author: Peng Xu,Agus P. Sasmito,Arun S. Mujumdar
Publsiher: CRC Press
Total Pages: 210
Release: 2019-07-16
ISBN: 1351019201
Category: Science
Language: EN, FR, DE, ES & NL

Heat and Mass Transfer in Drying of Porous Media Book Excerpt:

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.

Handbook of Porous Media

Handbook of Porous Media
Author: Kambiz Vafai
Publsiher: CRC Press
Total Pages: 959
Release: 2015-06-23
ISBN: 1439885575
Category: Science
Language: EN, FR, DE, ES & NL

Handbook of Porous Media Book Excerpt:

Handbook of Porous Media, Third Edition offers a comprehensive overview of the latest theories on flow, transport, and heat-exchange processes in porous media. It also details sophisticated porous media models which can be used to improve the accuracy of modeling in a variety of practical applications. Featuring contributions from leading experts in their respective fields, this book: Presents the general characteristics and modeling of porous media, such as multiscale modeling of porous media, two-phase flow, compressible porous media, and dispersion in porous media Addresses the fundamental topics of transport in porous media, including theoretical models of transport, membrane transport phenomena, modeling transport properties, and transport in biomedical applications Describes several important aspects of turbulence in porous media, including advances in modeling turbulence phenomena in heterogeneous porous media Explores heat transfer of nanofluids as well as thermal transport in porous media, including forced convection, double diffusive convection, high-heat flux applications, and thermal behavior of poroelastic media Covers geological applications in porous media, including modeling and experimental challenges related to oil fields, CO2 migration, groundwater flows, and velocity measurements Discusses relevant attributes of experimental work or numerical techniques whenever applicable Paving the way for the establishment of multidisciplinary areas of research, Handbook of Porous Media, Third Edition further enhances cooperation between engineers and scientists by providing a valuable reference for addressing some of the most challenging issues in engineering and the hydrogeological, biological, and biomedical sciences.

Hyperbolic Problems Theory Numerics Applications Proceedings Of The Fifth International Conference

Hyperbolic Problems  Theory  Numerics  Applications   Proceedings Of The Fifth International Conference
Author: Glimm James,Graham M J,Grove J W
Publsiher: World Scientific
Total Pages: 508
Release: 1996-03-14
ISBN: 9814548588
Category: Electronic Book
Language: EN, FR, DE, ES & NL

Hyperbolic Problems Theory Numerics Applications Proceedings Of The Fifth International Conference Book Excerpt:

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.

Applied Mechanics Reviews

Applied Mechanics Reviews
Author: Anonim
Publsiher: Unknown
Total Pages: 135
Release: 1988
ISBN: 1928374650XXX
Category: Mechanics, Applied
Language: EN, FR, DE, ES & NL

Applied Mechanics Reviews Book Excerpt:

Petrophysical Characterization and Fluids Transport in Unconventional Reservoirs

Petrophysical Characterization and Fluids Transport in Unconventional Reservoirs
Author: Jianchao Cai,Xiangyun Hu
Publsiher: Elsevier
Total Pages: 352
Release: 2019-01-24
ISBN: 0128172894
Category: Business & Economics
Language: EN, FR, DE, ES & NL

Petrophysical Characterization and Fluids Transport in Unconventional Reservoirs Book Excerpt:

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

Percolation Theory for Flow in Porous Media

Percolation Theory for Flow in Porous Media
Author: Allen Hunt,Robert Ewing,Behzad Ghanbarian
Publsiher: Springer
Total Pages: 447
Release: 2014-02-04
ISBN: 3319037714
Category: Science
Language: EN, FR, DE, ES & NL

Percolation Theory for Flow in Porous Media Book Excerpt:

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)

Selected Topics of Computational and Experimental Fluid Mechanics

Selected Topics of Computational and Experimental Fluid Mechanics
Author: Jaime Klapp,Gerardo Ruíz Chavarría,Abraham Medina Ovando,Abel López Villa,Leonardo Di G. Sigalotti
Publsiher: Springer
Total Pages: 548
Release: 2015-03-05
ISBN: 3319114875
Category: Science
Language: EN, FR, DE, ES & NL

Selected Topics of Computational and Experimental Fluid Mechanics Book Excerpt:

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.

Stochastic Methods for Flow in Porous Media

Stochastic Methods for Flow in Porous Media
Author: Dongxiao Zhang
Publsiher: Elsevier
Total Pages: 368
Release: 2001-10-11
ISBN: 0080517773
Category: Science
Language: EN, FR, DE, ES & NL

Stochastic Methods for Flow in Porous Media Book Excerpt:

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

Multiphysics Modeling

Multiphysics Modeling
Author: Murat Peksen
Publsiher: Academic Press
Total Pages: 282
Release: 2018-06-27
ISBN: 0128119039
Category: Technology & Engineering
Language: EN, FR, DE, ES & NL

Multiphysics Modeling Book Excerpt:

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

Frontiers in Numerical Analysis

Frontiers in Numerical Analysis
Author: James Blowey,Alan Craig,Tony Shardlow
Publsiher: Springer Science & Business Media
Total Pages: 354
Release: 2012-12-06
ISBN: 3642556922
Category: Mathematics
Language: EN, FR, DE, ES & NL

Frontiers in Numerical Analysis Book Excerpt:

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.

Mathematical and Numerical Modeling in Porous Media

Mathematical and Numerical Modeling in Porous Media
Author: Martin A. Diaz Viera,Pratap Sahay,Manuel Coronado,Arturo Ortiz Tapia
Publsiher: CRC Press
Total Pages: 370
Release: 2012-07-24
ISBN: 041566537X
Category: Mathematics
Language: EN, FR, DE, ES & NL

Mathematical and Numerical Modeling in Porous Media Book Excerpt:

Porous media are broadly found in nature and their study is of high relevance in our present lives. In geosciences porous media research is fundamental in applications to aquifers, mineral mines, contaminant transport, soil remediation, waste storage, oil recovery and geothermal energy deposits. Despite their importance, there is as yet no complete understanding of the physical processes involved in fluid flow and transport. This fact can be attributed to the complexity of the phenomena which include multicomponent fluids, multiphasic flow and rock-fluid interactions. Since its formulation in 1856, Darcy’s law has been generalized to describe multi-phase compressible fluid flow through anisotropic and heterogeneous porous and fractured rocks. Due to the scarcity of information, a high degree of uncertainty on the porous medium properties is commonly present. Contributions to the knowledge of modeling flow and transport, as well as to the characterization of porous media at field scale are of great relevance. This book addresses several of these issues, treated with a variety of methodologies grouped into four parts: I Fundamental concepts II Flow and transport III Statistical and stochastic characterization IV Waves The problems analyzed in this book cover diverse length scales that range from small rock samples to field-size porous formations. They belong to the most active areas of research in porous media with applications in geosciences developed by diverse authors. This book was written for a broad audience with a prior and basic knowledge of porous media. The book is addressed to a wide readership, and it will be useful not only as an authoritative textbook for undergraduate and graduate students but also as a reference source for professionals including geoscientists, hydrogeologists, geophysicists, engineers, applied mathematicians and others working on porous media.

Fractals

Fractals
Author: Behzad Ghanbarian,Allen G. Hunt
Publsiher: CRC Press
Total Pages: 352
Release: 2017-11-23
ISBN: 1351648306
Category: Mathematics
Language: EN, FR, DE, ES & NL

Fractals Book Excerpt:

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.