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
Publisher : Elsevier
Release Date : 2020-11-16
ISBN 10 : 0128177985
Pages : 262 pages

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

Flow and Transport Properties of Unconventional Reservoirs 2018
Author : Jianchao Cai,Zhien Zhang,Qinjun Kang,Harpreet Singh
Publisher : MDPI
Release Date : 2019-07-23
ISBN 10 : 3039211161
Pages : 364 pages

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.

Transport Processes in Porous Media
Author : Jacob Bear,M. Yavuz Corapcioglu
Publisher : Springer Science & Business Media
Release Date : 2012-12-06
ISBN 10 : 9401136289
Pages : 825 pages

This volume contains the invited lectures presented during the NATO/ASI conducted in Pullman, Washington, July 9-18, 1989. This is the third in a series of NATO/ASIs on transport phenomena in porous media. The first two, which took place at Newark, Delaware in 1982 and 1985, are devoted to various topics related to the Fundamentals of Transport Processes in Porous Media. The contents of the books resulting from previous NATO/ASIs are given at the end of this book. Transport of extensive quantities such as mass of a fluid phase, mass of chemical species carried by a fluid phase, energy and electric charge in porous media, as encountered in a large variety of engineering disciplines, is an emerging interdisciplinary field. The groundwater flow, the simultaneous flow of gas, oil and water in petroleum reservoirs, the movement and accumulation of pollutants in the saturated and unsaturated subsurface zones, thermal energy storage in reservoirs, land subsidence in response to charges in overburden loads, or to pumping of fluids from underground formations, wave propagation in seismic investigations or as produced by earthquakes, chemical reactors, water flow through sand filters and the movement of fluids through kidneys, may serve as examples of fields in which the theory of transport in porous media is employed.

Percolation Theory for Flow in Porous Media
Author : Allen Hunt,Robert Ewing,Behzad Ghanbarian
Publisher : Springer
Release Date : 2014-02-04
ISBN 10 : 3319037714
Pages : 447 pages

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)

Wicking in Porous Materials
Author : Reza Masoodi,Krishna M. Pillai
Publisher : CRC Press
Release Date : 2012-10-26
ISBN 10 : 1439874328
Pages : 380 pages

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.

Petrophysical Characterization and Fluids Transport in Unconventional Reservoirs
Author : Jianchao Cai,Xiangyun Hu
Publisher : Elsevier
Release Date : 2019-01-24
ISBN 10 : 0128172894
Pages : 352 pages

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

Flow and Transport in Porous Media and Fractured Rock
Author : Muhammad Sahimi
Publisher : John Wiley & Sons
Release Date : 2011-05-09
ISBN 10 : 9783527636709
Pages : 733 pages

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.

Stochastic Methods for Flow in Porous Media
Author : Dongxiao Zhang
Publisher : Elsevier
Release Date : 2001-10-11
ISBN 10 : 9780080517773
Pages : 368 pages

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

Selected Topics of Computational and Experimental Fluid Mechanics
Author : Jaime Klapp,Gerardo Ruíz Chavarría,Abraham Medina Ovando,Abel López Villa,Leonardo Di G. Sigalotti
Publisher : Springer
Release Date : 2015-03-05
ISBN 10 : 3319114875
Pages : 548 pages

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.

Handbook of Porous Media
Author : Kambiz Vafai
Publisher : CRC Press
Release Date : 2000-07-12
ISBN 10 : 9780824788865
Pages : 928 pages

"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."

Bibliography and Index of Geology
Author : N.A
Publisher : N.A
Release Date : 1991
ISBN 10 :
Pages : 329 pages

Characterizing and modeling preferential flow using magentic resonance imaging and multifractal theory
Author : N.A
Publisher : International Potato Center
Release Date :
ISBN 10 : 9789290603269
Pages : 329 pages

Petroleum Abstracts
Author : N.A
Publisher : N.A
Release Date : 1994
ISBN 10 :
Pages : 329 pages

Numerical Simulation of Reactive Flow in Hot Aquifers
Author : Christoph Clauser
Publisher : Springer Science & Business Media
Release Date : 2012-12-06
ISBN 10 : 3642556841
Pages : 332 pages

This product, consisting of a CD-ROM and a book, deals with the numerical simulation of reactive transport in porous media using the simulation package SHEMAT/Processing SHEMAT. SHEMAT (Simulator for HEat and MAss Transport) is an easy-to-use, general-purpose reactive transport simulation code for a wide variety of thermal and hydrogeological problems in two or three dimensions. The book is a richly documented manual for users of this software which discusses in detail the coded physical and chemical equations. Thus, it provides the in-depth background required by those who want to apply the code for solving advanced technical and scientific problems. The enclosed companion CD-ROM contains the software and data for all of the case studies. The software includes user-friendly pre- and post-processors which make it very easy to set up a model, run it and view the results, all from one platform. Therefore, the software is also very suitable for academic or technical "hands-on" courses for simulating flow, transport of heat and mass, and chemical reactions in porous media. You can find a link to the updated software on .

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
Publisher : National Academies Press
Release Date : 1996-08-27
ISBN 10 : 0309049962
Pages : 568 pages

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.

Fractured Porous Media
Author : Pierre M. Adler,Jean-François Thovert,Valeri V. Mourzenko
Publisher : Oxford University Press
Release Date : 2013
ISBN 10 : 0199666512
Pages : 175 pages

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.

Analysis and Simulation of Multifield Problems
Author : Wolfgang L. Wendland,Messoud Efendiev
Publisher : Springer Science & Business Media
Release Date : 2012-11-10
ISBN 10 : 3540365273
Pages : 381 pages

The analysis and simulation of multifield problems have recently become one of the most actual and vivid areas of research. Although the individual subproblems of complex technical and physical phenomena often are understood separately, their interaction and coupling create not only new difficulties but also a complete new level and quality of interacting coupled field problems. Presented by leading experts this book includes recent results in these fields from the International Conference on Multifield Problems, April 8-10, 2002 at the University of Stuttgart, Germany.

Flow in Porous Media
Author : Jim Douglas (Jr.),Ulrich Hornung
Publisher : Springer Science & Business Media
Release Date : 1993
ISBN 10 : 9783764329495
Pages : 178 pages

This volume contains fourteen papers on mathematical problems of flow and transport through porous media presented at the conference at Oberwolfach, June 21-27, 1992. Among the topics covered are miscible and immiscible displacement, groundwater contamination, reaction-diffusion instabilities and moving boundaries, random and fractal media, microstructure models, homogenization, spatial heterogeneities, inverse problems, degenerate equations. The papers deal with aspects of modeling, mathematical theory, numerical methods and applications in the engineering sciences.

Transport Phenomena in Porous Media III
Author : Derek B Ingham,Ioan Pop
Publisher : Elsevier
Release Date : 2005-07-29
ISBN 10 : 9780080543185
Pages : 450 pages

Fluid and flow problems in porous media have attracted the attention of industrialists, engineers and scientists from varying disciplines, such as chemical, environmental, and mechanical engineering, geothermal physics and food science. There has been a increasing interest in heat and fluid flows through porous media, making this book a timely and appropriate resource. Each chapter is systematically detailed to be easily grasped by a research worker with basic knowledge of fluid mechanics, heat transfer and computational and experimental methods. At the same time, the readers will be informed of the most recent research literature in the field, giving it dual usage as both a post-grad text book and professional reference. Written by the recent directors of the NATO Advanced Study Institute session on 'Emerging Technologies and Techniques in Porous Media' (June 2003), this book is a timely and essential reference for scientists and engineers within a variety of fields.

Fractal Analysis
Author : Fernando Brambila
Publisher : BoD – Books on Demand
Release Date : 2017-06-14
ISBN 10 : 9535131915
Pages : 294 pages

Fractal analysis has entered a new era. The applications to different areas of knowledge have been surprising. Let us begin with the fractional calculus-fractal geometry relationship, which allows for modeling with extreme precision of phenomena such as diffusion in porous media with fractional partial differential equations in fractal objects. Where the order of the equation is the same as the fractal dimension, this allows us to make calculations with enormous precision in diffusion phenomena-particularly in the oil industry, for new spillage prevention. Main applications to industry, design of fractal antennas to receive all frequencies and that is used in all cell phones, spacecraft, radars, image processing, measure, porosity, turbulence, scattering theory. Benoit Mandelbrot, creator of fractal geometry, would have been surprised by the use of fractal analysis presented in this book: "Part I: Petroleum Industry and Numerical Analysis"; "Part II: Fractal Antennas, Spacecraft, Radars, Image Processing, and Measure"; and "Part III: Scattering Theory, Porosity, and Turbulence." It's impossible to picture today's research without fractal analysis.