# Modelling Of Flow And Transport In Fractal Porous Media

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## 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 10 | : 0128177985 |

ISBN 13 | : 9780128177983 |

Language | : EN, FR, DE, ES & NL |

**Modelling of Flow and Transport in Fractal Porous Media Book Review:**

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

## 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 10 | : 135101921X |

ISBN 13 | : 9781351019217 |

Language | : EN, FR, DE, ES & NL |

**Heat and Mass Transfer in Drying of Porous Media Book Review:**

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.

## 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 10 | : 1928374650XXX |

ISBN 13 | : OCLC:773171491 |

Language | : EN, FR, DE, ES & NL |

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

## 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 10 | : 9401721998 |

ISBN 13 | : 9789401721998 |

Language | : EN, FR, DE, ES & NL |

**Mathematical Modeling for Flow and Transport Through Porous Media Book Review:**

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.

## Flow and Transport in Porous Media and Fractured Rock

Author | : Muhammad Sahimi |

Publsiher | : John Wiley & Sons |

Total Pages | : 733 |

Release | : 2011-05-09 |

ISBN 10 | : 9783527636709 |

ISBN 13 | : 3527636706 |

Language | : EN, FR, DE, ES & NL |

**Flow and Transport in Porous Media and Fractured Rock Book Review:**

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 Properties of Unconventional Reservoirs 2018

Author | : Jianchao Cai,Zhien Zhang,Qinjun Kang,Harpreet Singh |

Publsiher | : MDPI |

Total Pages | : 364 |

Release | : 2019-07-23 |

ISBN 10 | : 3039211161 |

ISBN 13 | : 9783039211166 |

Language | : EN, FR, DE, ES & NL |

**Flow and Transport Properties of Unconventional Reservoirs 2018 Book Review:**

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.

## Syllabus omnium vocabulorum Grammaticae Eman Alvari in nostram vernaculam conversorum

Author | : Anonim |

Publsiher | : Unknown |

Total Pages | : 135 |

Release | : 1654 |

ISBN 10 | : 1928374650XXX |

ISBN 13 | : OCLC:221369550 |

Language | : EN, FR, DE, ES & NL |

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

## Mathematical Modeling of Fluid Flow and Heat Transfer in Petroleum Industries and Geothermal Applications

Author | : Mehrdad Massoudi |

Publsiher | : MDPI |

Total Pages | : 470 |

Release | : 2020-04-16 |

ISBN 10 | : 3039287206 |

ISBN 13 | : 9783039287208 |

Language | : EN, FR, DE, ES & NL |

**Mathematical Modeling of Fluid Flow and Heat Transfer in Petroleum Industries and Geothermal Applications Book Review:**

Geothermal energy is the thermal energy generated and stored in the Earth's core, mantle, and crust. Geothermal technologies are used to generate electricity and to heat and cool buildings. To develop accurate models for heat and mass transfer applications involving fluid flow in geothermal applications or reservoir engineering and petroleum industries, a basic knowledge of the rheological and transport properties of the materials involved (drilling fluid, rock properties, etc.)—especially in high-temperature and high-pressure environments—are needed. This Special Issue considers all aspects of fluid flow and heat transfer in geothermal applications, including the ground heat exchanger, conduction and convection in porous media. The emphasis here is on mathematical and computational aspects of fluid flow in conventional and unconventional reservoirs, geothermal engineering, fluid flow, and heat transfer in drilling engineering and enhanced oil recovery (hydraulic fracturing, CO2 injection, etc.) applications.

## Scientific and Technical Aerospace Reports

Author | : Anonim |

Publsiher | : Unknown |

Total Pages | : 135 |

Release | : 1990 |

ISBN 10 | : 1928374650XXX |

ISBN 13 | : UIUC:30112075701661 |

Language | : EN, FR, DE, ES & NL |

**Scientific and Technical Aerospace Reports Book Review:**

## Percolation Theory for Flow in Porous Media

Author | : Allen Hunt,Robert Ewing,Behzad Ghanbarian |

Publsiher | : Springer |

Total Pages | : 447 |

Release | : 2014-02-04 |

ISBN 10 | : 3319037714 |

ISBN 13 | : 9783319037714 |

Language | : EN, FR, DE, ES & NL |

**Percolation Theory for Flow in Porous Media Book Review:**

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)

## Fundamentals of Geoenvironmental Engineering

Author | : Abdel-Mohsen Onsy Mohamed,Evan K. Paleologos |

Publsiher | : Butterworth-Heinemann |

Total Pages | : 708 |

Release | : 2017-10-31 |

ISBN 10 | : 0128051450 |

ISBN 13 | : 9780128051450 |

Language | : EN, FR, DE, ES & NL |

**Fundamentals of Geoenvironmental Engineering Book Review:**

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

## Wicking in Porous Materials

Author | : Reza Masoodi,Krishna M. Pillai |

Publsiher | : CRC Press |

Total Pages | : 380 |

Release | : 2012-10-26 |

ISBN 10 | : 1439874328 |

ISBN 13 | : 9781439874325 |

Language | : EN, FR, DE, ES & NL |

**Wicking in Porous Materials Book Review:**

A comprehensive presentation of wicking models developed in academia and industry, Wicking in Porous Materials: Traditional and Modern Modeling Approaches contains some of the most important approaches and methods available, from the traditional Washburn-type models to the latest Lattice-Boltzmann approaches developed during the last few years. It provides a sound conceptual framework for learning the science behind different mathematical models while at the same time being aware of the practical issues of model validation as well as measurement of important properties and parameters associated with various models. Top experts in the field reveal the secrets of their wicking models. The chapters cover the following topics: Wetting and wettability Darcy’s law for single- and multi-phase flows Traditional capillary models, such as the Washburn-equation based approaches Unsaturated-flow based methodologies (Richard’s Equation) Sharp-front (plug-flow) type approaches using Darcy’s law Pore network models for wicking after including various micro-scale fluid-flow phenomena Studying the effect of evaporation on wicking using pore network models Fractal-based methods Modeling methods based on mixture theory Lattice-Boltzmann method for modeling wicking in small scales Modeling wicking in swelling and non-rigid porous media This extensive look at the modeling of porous media compares various methods and treats traditional topics as well as modern technologies. It emphasizes experimental validation of modeling approaches as well as experimental determination of model parameters. Matching models to particular media, the book provides guidance on what models to use and how to use them.

## Calibration and Reliability in Groundwater Modelling

Author | : Fritz Stauffer |

Publsiher | : Unknown |

Total Pages | : 523 |

Release | : 2000 |

ISBN 10 | : 9781901502367 |

ISBN 13 | : 1901502368 |

Language | : EN, FR, DE, ES & NL |

**Calibration and Reliability in Groundwater Modelling Book Review:**

## 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 10 | : 1351019201 |

ISBN 13 | : 9781351019200 |

Language | : EN, FR, DE, ES & NL |

**Heat and Mass Transfer in Drying of Porous Media Book Review:**

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.

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

Author | : Bourgeat Alain P,Carasso Claude,Luckhaus Stephan |

Publsiher | : World Scientific |

Total Pages | : 532 |

Release | : 1995-11-30 |

ISBN 10 | : 9814548391 |

ISBN 13 | : 9789814548397 |

Language | : EN, FR, DE, ES & NL |

**Mathematical Modelling Of Flow Through Porous Media Proceedings Of The Conference Book Review:**

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.

## Fractals

Author | : Behzad Ghanbarian,Allen G. Hunt |

Publsiher | : CRC Press |

Total Pages | : 352 |

Release | : 2017-11-23 |

ISBN 10 | : 1351648306 |

ISBN 13 | : 9781351648301 |

Language | : EN, FR, DE, ES & NL |

**Fractals Book Review:**

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.

## Applied Mechanics Reviews

Author | : Anonim |

Publsiher | : Unknown |

Total Pages | : 135 |

Release | : 1988 |

ISBN 10 | : 1928374650XXX |

ISBN 13 | : OSU:32435026160754 |

Language | : EN, FR, DE, ES & NL |

**Applied Mechanics Reviews Book Review:**

## Fractured Porous Media

Author | : Pierre M. Adler,Jean-François Thovert,Valeri V. Mourzenko |

Publsiher | : Oxford University Press |

Total Pages | : 175 |

Release | : 2013 |

ISBN 10 | : 0199666512 |

ISBN 13 | : 9780199666515 |

Language | : EN, FR, DE, ES & NL |

**Fractured Porous Media Book Review:**

This monograph on fractures, fracture networks, and fractured porous media provides a systematic treatment of their geometrical and transport properties for students and professionals in Geophysics, Materials Science, and Earth Sciences.

## Rock Fractures and Fluid Flow

Author | : National Research Council,Division on Earth and Life Studies,Commission on Geosciences, Environment and Resources,Committee on Fracture Characterization and Fluid Flow |

Publsiher | : National Academies Press |

Total Pages | : 568 |

Release | : 1996-08-27 |

ISBN 10 | : 0309049962 |

ISBN 13 | : 9780309049962 |

Language | : EN, FR, DE, ES & NL |

**Rock Fractures and Fluid Flow Book Review:**

Scientific understanding of fluid flow in rock fractures--a process underlying contemporary earth science problems from the search for petroleum to the controversy over nuclear waste storage--has grown significantly in the past 20 years. This volume presents a comprehensive report on the state of the field, with an interdisciplinary viewpoint, case studies of fracture sites, illustrations, conclusions, and research recommendations. The book addresses these questions: How can fractures that are significant hydraulic conductors be identified, located, and characterized? How do flow and transport occur in fracture systems? How can changes in fracture systems be predicted and controlled? Among other topics, the committee provides a geomechanical understanding of fracture formation, reviews methods for detecting subsurface fractures, and looks at the use of hydraulic and tracer tests to investigate fluid flow. The volume examines the state of conceptual and mathematical modeling, and it provides a useful framework for understanding the complexity of fracture changes that occur during fluid pumping and other engineering practices. With a practical and multidisciplinary outlook, this volume will be welcomed by geologists, petroleum geologists, geoengineers, geophysicists, hydrologists, researchers, educators and students in these fields, and public officials involved in geological projects.

## Petrophysical Characterization and Fluids Transport in Unconventional Reservoirs

Author | : Jianchao Cai,Xiangyun Hu |

Publsiher | : Elsevier |

Total Pages | : 352 |

Release | : 2019-01-24 |

ISBN 10 | : 0128172894 |

ISBN 13 | : 9780128172896 |

Language | : EN, FR, DE, ES & NL |

**Petrophysical Characterization and Fluids Transport in Unconventional Reservoirs Book Review:**

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