Non Fickian Solute Transport In Porous Media

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Non-fickian Solute Transport in Porous Media

Author : Don Kulasiri
Publisher : Springer
ISBN 13 : 9783642349867
Total Pages : 227 pages
Book Rating : 4.3/5 (498 download)

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Book Synopsis Non-fickian Solute Transport in Porous Media by : Don Kulasiri

Download or read book Non-fickian Solute Transport in Porous Media written by Don Kulasiri and published by Springer. This book was released on 2013-04-23 with total page 227 pages. Available in PDF, EPUB and Kindle. Book excerpt: The advection-dispersion equation that is used to model the solute transport in a porous medium is based on the premise that the fluctuating components of the flow velocity, hence the fluxes, due to a porous matrix can be assumed to obey a relationship similar to Fick’s law. This introduces phenomenological coefficients which are dependent on the scale of the experiments. This book presents an approach, based on sound theories of stochastic calculus and differential equations, which removes this basic premise. This leads to a multiscale theory with scale independent coefficients. This book illustrates this outcome with available data at different scales, from experimental laboratory scales to regional scales.

Non Fickian Solute Transport

Author : William Taylor
Publisher :
ISBN 13 : 9781632403872
Total Pages : 0 pages
Book Rating : 4.4/5 (38 download)

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Book Synopsis Non Fickian Solute Transport by : William Taylor

Download or read book Non Fickian Solute Transport written by William Taylor and published by . This book was released on 2015-02-12 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: This research-based book provides a mathematical approach based on stochastic calculus which describes state-of-the-art information regarding porous media science and engineering - prediction of dispersivity from covariance of hydraulic conductivity (velocity). The complication is of great significance for tracer examination, for improved recovery by injection of miscible gases, etc. The book elucidates a generalized mathematical model and efficient numerical methodologies that may greatly affect the stochastic porous media hydrodynamics. It begins with a descriptive basic analysis of the complication of scale dependence of the dispersion coefficient in porous media. Furthermore, relevant topics of stochastic calculus which would be helpful in modeling are discussed subsequently. An in-depth elaborative discussion regarding the development of a generalized stochastic solute transport model for any provided velocity covariance without conferring to fickian expectations from laboratory scale to field scale is also illustrated in this book. The mathematical approaches described in this book will serve as useful solutions for several other complications associated with chemical dispersion in porous media.

An Introduction to Solute Transport in Heterogeneous Geologic Media

Author : Tian-Chyi Jim Yeh
Publisher : Cambridge University Press
ISBN 13 : 1316511189
Total Pages : 365 pages
Book Rating : 4.3/5 (165 download)

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Book Synopsis An Introduction to Solute Transport in Heterogeneous Geologic Media by : Tian-Chyi Jim Yeh

Download or read book An Introduction to Solute Transport in Heterogeneous Geologic Media written by Tian-Chyi Jim Yeh and published by Cambridge University Press. This book was released on 2023-02-28 with total page 365 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides a unified and comprehensive overview of physical explanations of the stochastic concepts of solute transport processes, important scaling issues, and practical tools for the analysis of solute transport.

Upscaling Solute Transport in Naturally Fractured Porous Media with the Continuous Time Random Walk Method

Author :
Publisher :
ISBN 13 :
Total Pages : pages
Book Rating : 4.:/5 (16 download)

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Book Synopsis Upscaling Solute Transport in Naturally Fractured Porous Media with the Continuous Time Random Walk Method by :

Download or read book Upscaling Solute Transport in Naturally Fractured Porous Media with the Continuous Time Random Walk Method written by and published by . This book was released on 2010 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: Solute transport in fractured porous media is typically 'non-Fickian'; that is, it is characterized by early breakthrough and long tailing and by nonlinear growth of the Green function-centered second moment. This behavior is due to the effects of (1) multirate diffusion occurring between the highly permeable fracture network and the low-permeability rock matrix, (2) a wide range of advection rates in the fractures and, possibly, the matrix as well, and (3) a range of path lengths. As a consequence, prediction of solute transport processes at the macroscale represents a formidable challenge. Classical dual-porosity (or mobile-immobile) approaches in conjunction with an advection-dispersion equation and macroscopic dispersivity commonly fail to predict breakthrough of fractured porous media accurately. It was recently demonstrated that the continuous time random walk (CTRW) method can be used as a generalized upscaling approach. Here we extend this work and use results from high-resolution finite element-finite volume-based simulations of solute transport in an outcrop analogue of a naturally fractured reservoir to calibrate the CTRW method by extracting a distribution of retention times. This procedure allows us to predict breakthrough at other model locations accurately and to gain significant insight into the nature of the fracture-matrix interaction in naturally fractured porous reservoirs with geologically realistic fracture geometries.

Diffusion in Natural Porous Media

Author : Peter Grathwohl
Publisher : Springer Science & Business Media
ISBN 13 : 146155683X
Total Pages : 198 pages
Book Rating : 4.4/5 (615 download)

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Book Synopsis Diffusion in Natural Porous Media by : Peter Grathwohl

Download or read book Diffusion in Natural Porous Media written by Peter Grathwohl and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 198 pages. Available in PDF, EPUB and Kindle. Book excerpt: Diffusion in Natural Porous Media: Contaminant Transport, Sorption/Desorption and Dissolution Kinetics introduces the general principles of diffusion in the subsurface environment and discusses the implications for the fate and transport of contaminants in soils and groundwater. Emphasis is placed on sorption/desorption and the dissolution kinetics of organic contaminants, both of which are limited by the slow speed of molecular diffusion. Diffusion in Natural Porous Media: Contaminant Transport, Sorption/Desorption and Dissolution Kinetics compiles methods for calculating the diffusion coefficients of organic compounds (in aqueous solution or vapor phase) in natural porous media. The author uses analytical solutions of Fick's 2nd law and some simple numerical models to model diffusive transport under various initial and boundary conditions. A number of these models may be solved using spreadsheets. The book examines sorption/desorption rates of organic compounds in various soils and aquifer materials, and also examines the dissolution kinetics of nonaqueous phase liquids in aquifers, in both the trapped residual phase and in pools. Diffusion in Natural Porous Media: Contaminant Transport, Sorption/Desorption and Dissolution Kinetics concludes with a discussion of the impact of slow diffusion processes on soil and groundwater decontamination and the implications of these processes for groundwater risk assessment.

Stochastic Dynamics. Modeling Solute Transport in Porous Media

Author : Don Kulasiri
Publisher : Elsevier
ISBN 13 : 0080541801
Total Pages : 253 pages
Book Rating : 4.0/5 (85 download)

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Book Synopsis Stochastic Dynamics. Modeling Solute Transport in Porous Media by : Don Kulasiri

Download or read book Stochastic Dynamics. Modeling Solute Transport in Porous Media written by Don Kulasiri and published by Elsevier. This book was released on 2002-11-22 with total page 253 pages. Available in PDF, EPUB and Kindle. Book excerpt: Most of the natural and biological phenomena such as solute transport in porous media exhibit variability which can not be modeled by using deterministic approaches. There is evidence in natural phenomena to suggest that some of the observations can not be explained by using the models which give deterministic solutions. Stochastic processes have a rich repository of objects which can be used to express the randomness inherent in the system and the evolution of the system over time. The attractiveness of the stochastic differential equations (SDE) and stochastic partial differential equations (SPDE) come from the fact that we can integrate the variability of the system along with the scientific knowledge pertaining to the system. One of the aims of this book is to explaim some useufl concepts in stochastic dynamics so that the scientists and engineers with a background in undergraduate differential calculus could appreciate the applicability and appropriateness of these developments in mathematics. The ideas are explained in an intuitive manner wherever possible with out compromising rigor.The solute transport problem in porous media saturated with water had been used as a natural setting to discuss the approaches based on stochastic dynamics. The work is also motivated by the need to have more sophisticated mathematical and computational frameworks to model the variability one encounters in natural and industrial systems. This book presents the ideas, models and computational solutions pertaining to a single problem: stochastic flow of contaminant transport in the saturated porous media such as that we find in underground aquifers. In attempting to solve this problem using stochastic concepts, different ideas and new concepts have been explored, and mathematical and computational frameworks have been developed in the process. Some of these concepts, arguments and mathematical and computational constructs are discussed in an intuititve manner in this book.

Solute Non-equilibrium Transport in Heterogeneous Porous Media

Author : Wenlin Chen
Publisher :
ISBN 13 :
Total Pages : 362 pages
Book Rating : 4.E/5 ( download)

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Book Synopsis Solute Non-equilibrium Transport in Heterogeneous Porous Media by : Wenlin Chen

Download or read book Solute Non-equilibrium Transport in Heterogeneous Porous Media written by Wenlin Chen and published by . This book was released on 1994 with total page 362 pages. Available in PDF, EPUB and Kindle. Book excerpt:

An Experimental Investigation of the Dependence of Dispersion on Flow Parameters and Porous Media Properties During Solute Transport Through Consolidated Porous Media Independent of Fickian Assumptions

Download An Experimental Investigation of the Dependence of Dispersion on Flow Parameters and Porous Media Properties During Solute Transport Through Consolidated Porous Media Independent of Fickian Assumptions PDF Online Free

Author : Seyed Reza Shadizadeh
Publisher :
ISBN 13 :
Total Pages : 674 pages
Book Rating : 4.:/5 (464 download)

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Book Synopsis An Experimental Investigation of the Dependence of Dispersion on Flow Parameters and Porous Media Properties During Solute Transport Through Consolidated Porous Media Independent of Fickian Assumptions by : Seyed Reza Shadizadeh

Download or read book An Experimental Investigation of the Dependence of Dispersion on Flow Parameters and Porous Media Properties During Solute Transport Through Consolidated Porous Media Independent of Fickian Assumptions written by Seyed Reza Shadizadeh and published by . This book was released on 1991 with total page 674 pages. Available in PDF, EPUB and Kindle. Book excerpt:

A Solution of the Differential Equation of Longitudinal Dispersion in Porous Media

Author : Akio Ogata
Publisher :
ISBN 13 :
Total Pages : 16 pages
Book Rating : 4.3/5 (121 download)

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Book Synopsis A Solution of the Differential Equation of Longitudinal Dispersion in Porous Media by : Akio Ogata

Download or read book A Solution of the Differential Equation of Longitudinal Dispersion in Porous Media written by Akio Ogata and published by . This book was released on 1961 with total page 16 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Simulation of Solute Transport Invariably Saturated Porous Media with Supplemental Information on Modifications to the U.S. Geological Survey's Computer Program VS2D

Download Simulation of Solute Transport Invariably Saturated Porous Media with Supplemental Information on Modifications to the U.S. Geological Survey's Computer Program VS2D PDF Online Free

Author : R. W. Healy
Publisher :
ISBN 13 :
Total Pages : 136 pages
Book Rating : 4.:/5 (31 download)

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Book Synopsis Simulation of Solute Transport Invariably Saturated Porous Media with Supplemental Information on Modifications to the U.S. Geological Survey's Computer Program VS2D by : R. W. Healy

Download or read book Simulation of Solute Transport Invariably Saturated Porous Media with Supplemental Information on Modifications to the U.S. Geological Survey's Computer Program VS2D written by R. W. Healy and published by . This book was released on 1990 with total page 136 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Computational Modelling of Multi-scale Non-fickian Dispersion in Porous Media

Author : Don Kulasiri
Publisher :
ISBN 13 : 9789535157021
Total Pages : 0 pages
Book Rating : 4.1/5 (57 download)

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Book Synopsis Computational Modelling of Multi-scale Non-fickian Dispersion in Porous Media by : Don Kulasiri

Download or read book Computational Modelling of Multi-scale Non-fickian Dispersion in Porous Media written by Don Kulasiri and published by . This book was released on 2011 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Gas Transport in Porous Media

Author : Clifford K. Ho
Publisher : Springer Science & Business Media
ISBN 13 : 140203962X
Total Pages : 442 pages
Book Rating : 4.4/5 (2 download)

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Book Synopsis Gas Transport in Porous Media by : Clifford K. Ho

Download or read book Gas Transport in Porous Media written by Clifford K. Ho and published by Springer Science & Business Media. This book was released on 2006-10-07 with total page 442 pages. Available in PDF, EPUB and Kindle. Book excerpt: CLIFFORD K. HOAND STEPHEN W. WEBB Sandia National Laboratories, P. O. Box 5800, Albuquerque, NM 87185, USA Gas and vapor transport in porous media occur in a number of important applications includingdryingofindustrialandfoodproducts,oilandgasexploration,environm- tal remediation of contaminated sites, and carbon sequestration. Understanding the fundamental mechanisms and processes of gas and vapor transport in porous media allows models to be used to evaluate and optimize the performance and design of these systems. In this book, gas and vapor are distinguished by their available states at stan- ? dard temperature and pressure (20 C, 101 kPa). If the gas-phase constituent can also exist as a liquid phase at standard temperature and pressure (e. g. , water, ethanol, toluene, trichlorothylene), it is considered a vapor. If the gas-phase constituent is non-condensable at standard temperature and pressure (e. g. , oxygen, carbon di- ide, helium, hydrogen, propane), it is considered a gas. The distinction is important because different processes affect the transport and behavior of gases and vapors in porous media. For example, mechanisms specific to vapors include vapor-pressure lowering and enhanced vapor diffusion, which are caused by the presence of a g- phase constituent interacting with its liquid phase in an unsaturated porous media. In addition, the “heat-pipe” exploits isothermal latent heat exchange during evaporation and condensation to effectively transfer heat in designed and natural systems.

Experimental and Numerical Studies on Solute Transport in Unsaturated Heterogeneous Porous Media Under Evaporation Conditions

Author : Michel Bechtold
Publisher : Forschungszentrum Jülich
ISBN 13 : 3893367950
Total Pages : 161 pages
Book Rating : 4.8/5 (933 download)

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Book Synopsis Experimental and Numerical Studies on Solute Transport in Unsaturated Heterogeneous Porous Media Under Evaporation Conditions by : Michel Bechtold

Download or read book Experimental and Numerical Studies on Solute Transport in Unsaturated Heterogeneous Porous Media Under Evaporation Conditions written by Michel Bechtold and published by Forschungszentrum Jülich. This book was released on 2012 with total page 161 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Modeling Transport Phenomena in Porous Media with Applications

Author : Malay K. Das
Publisher : Springer
ISBN 13 : 3319698664
Total Pages : 250 pages
Book Rating : 4.3/5 (196 download)

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Book Synopsis Modeling Transport Phenomena in Porous Media with Applications by : Malay K. Das

Download or read book Modeling Transport Phenomena in Porous Media with Applications written by Malay K. Das and published by Springer. This book was released on 2017-11-21 with total page 250 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is an ensemble of six major chapters, an introduction, and a closure on modeling transport phenomena in porous media with applications. Two of the six chapters explain the underlying theories, whereas the rest focus on new applications. Porous media transport is essentially a multi-scale process. Accordingly, the related theory described in the second and third chapters covers both continuum‐ and meso‐scale phenomena. Examining the continuum formulation imparts rigor to the empirical porous media models, while the mesoscopic model focuses on the physical processes within the pores. Porous media models are discussed in the context of a few important engineering applications. These include biomedical problems, gas hydrate reservoirs, regenerators, and fuel cells. The discussion reveals the strengths and weaknesses of existing models as well as future research directions.

Modeling Phenomena of Flow and Transport in Porous Media

Author : Jacob Bear
Publisher : Springer
ISBN 13 : 3319728261
Total Pages : 761 pages
Book Rating : 4.3/5 (197 download)

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Book Synopsis Modeling Phenomena of Flow and Transport in Porous Media by : Jacob Bear

Download or read book Modeling Phenomena of Flow and Transport in Porous Media written by Jacob Bear and published by Springer. This book was released on 2018-01-25 with total page 761 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents and discusses the construction of mathematical models that describe phenomena of flow and transport in porous media as encountered in civil and environmental engineering, petroleum and agricultural engineering, as well as chemical and geothermal engineering. The phenomena of transport of extensive quantities, like mass of fluid phases, mass of chemical species dissolved in fluid phases, momentum and energy of the solid matrix and of fluid phases occupying the void space of porous medium domains are encountered in all these disciplines. The book, which can also serve as a text for courses on modeling in these disciplines, starts from first principles and focuses on the construction of well-posed mathematical models that describe all these transport phenomena.

Advances in Groundwater Flow and Solute Transport: Pushing the Hidden Boundary

Author : Hongbin Zhan
Publisher : MDPI
ISBN 13 : 3039210742
Total Pages : 196 pages
Book Rating : 4.0/5 (392 download)

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Book Synopsis Advances in Groundwater Flow and Solute Transport: Pushing the Hidden Boundary by : Hongbin Zhan

Download or read book Advances in Groundwater Flow and Solute Transport: Pushing the Hidden Boundary written by Hongbin Zhan and published by MDPI. This book was released on 2019-10-01 with total page 196 pages. Available in PDF, EPUB and Kindle. Book excerpt: In recent decades, the study of groundwater flow and solute transport has advanced into new territories that are beyond conventional theories, such as Darcy’s law and Fick’s law. The studied media have changed from permeable porous and fractured ones to much less permeable ones, such as clay and shale. The studied pore sizes have also changed from millimetres to micro-meters or even nano-meters. The objective of this Special Issue is to report recent advances in groundwater flow and solute transport that push the knowledge boundary into new territories which include, but are not limited to, flow and transport in sloping aquifer/hillslopes, coupled unsaturated and saturated flow, coupled aquifer-vertical/horizontal/slant well flow, interaction of aquifer with connected and disconnected rivers, non-Darcian flow, anomalous transport beyond the Fickian scheme, and flow and transport in extremely small pore spaces such as shale and tight sandstones. Contributions focusing on innovative experimental, numerical, and analytical methods for understanding unconventional problems, such as the above-listed ones, are encouraged, and contributions addressing flow and transport at interfaces of different media and crossing multiple temporal and spatial scales are of great value

Pore Scale Geochemical Processes

Author : Carl Steefel
Publisher : Walter de Gruyter GmbH & Co KG
ISBN 13 : 1501502077
Total Pages : 496 pages
Book Rating : 4.5/5 (15 download)

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Book Synopsis Pore Scale Geochemical Processes by : Carl Steefel

Download or read book Pore Scale Geochemical Processes written by Carl Steefel and published by Walter de Gruyter GmbH & Co KG. This book was released on 2015-09-25 with total page 496 pages. Available in PDF, EPUB and Kindle. Book excerpt: This RiMG (Reviews in Mineralogy & Geochemistry) volume includes contributions that review experimental, characterization, and modeling advances in our understanding of pore-scale geochemical processes. The volume had its origins in a special theme session at the 2015 Goldschmidt Conference in Prague. From a diversity of pore-scale topics that ranged from multi-scale characterization to modeling, this work summarizes the state-of-the-science in this subject. Topics include: modification of thermodynamics and kinetics in small pores. chemo-mechanical processes and how they affect porosity evolution in geological media. small angle neutron scattering (SANS) techniques. how isotopic gradients across fluid–mineral boundaries can develop and how these provide insight into pore-scale processes. Information on an important class of models referred to as "pore network" and much more. The material in this book is accessible for graduate students, researchers, and professionals in the earth, material, environmental, hydrological, and biological sciences. The pore scale is readily recognizable to geochemists, and yet in the past it has not received a great deal of attention as a distinct scale or environment that is associated with its own set of questions and challenges. Is the pore scale merely an environment in which smaller scale (molecular) processes aggregate, or are there emergent phenomena unique to this scale? Is it simply a finer-grained version of the "continuum" scale that is addressed in larger-scale models and interpretations? The scale is important because it accounts for the pore architecture within which such diverse processes as multi-mineral reaction networks, microbial community interaction, and transport play out, giving rise to new geochemical behavior that might not be understood or predicted by considering smaller or larger scales alone.