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Author : Channa Rajanayaka
Publisher :
ISBN 13 :
Total Pages : 18 pages
Book Rating : 4.:/5 (155 download)
Download or read book Scale Dependent Solute Dispersion in Porous Media written by Channa Rajanayaka and published by . This book was released on 2003 with total page 18 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Don Kulasiri
Publisher : BoD – Books on Demand
ISBN 13 : 9533077263
Total Pages : 246 pages
Book Rating : 4.5/5 (33 download)
Download or read book Computational Modelling of Multi-scale Solute Dispersion in Porous Media written by Don Kulasiri and published by BoD – Books on Demand. This book was released on 2011-11-04 with total page 246 pages. Available in PDF, EPUB and Kindle. Book excerpt: This research monograph presents a mathematical approach based on stochastic calculus which tackles the "cutting edge" in porous media science and engineering - prediction of dispersivity from covariance of hydraulic conductivity (velocity). The problem is of extreme importance for tracer analysis, for enhanced recovery by injection of miscible gases, etc. This book explains a generalised mathematical model and effective numerical methods that may highly impact the stochastic porous media hydrodynamics. The book starts with a general overview of the problem of scale dependence of the dispersion coefficient in porous media. Then a review of pertinent topics of stochastic calculus that would be useful in the modeling in the subsequent chapters is succinctly presented. The development of a generalised stochastic solute transport model for any given velocity covariance without resorting to Fickian assumptions from laboratory scale to field scale is discussed in detail. The mathematical approaches presented here may be useful for many other problems related to chemical dispersion in porous media.
Author : Rhiannon Maire Garrard
Publisher :
ISBN 13 :
Total Pages : 55 pages
Book Rating : 4.:/5 (12 download)
Download or read book Scale Effect of Contaminant Transport in Saturated Porous Media Identified by the Time Fractional Advection-dispersion Equation written by Rhiannon Maire Garrard and published by . This book was released on 2017 with total page 55 pages. Available in PDF, EPUB and Kindle. Book excerpt: Time nonlocal transport models such as the time fractional advection-dispersion equation (t-fADE) were proposed to capture well-documented non-Fickian dynamics for conservative solutes transport in heterogeneous media, with the underlying assumption that the time nonlocality (which means that the current concentration change is affected by previous concentration load) embedded in the physical models can release the effective dispersion coefficient from scale dependency. This assumption however has never been systematically examined using real data. This study fills this historical knowledge gap by capturing non-Fickian transport (likely due to solute retention) documented in literature (Huang et al. 1995) and observed in our laboratory from small to intermediate spatial scale using the promising, tempered t-fADE model. Fitting exercises show that the effective dispersion coefficient in the t-fADE, although differing subtly from the dispersion coefficient in the standard advection-dispersion equation, increases nonlinearly with the travel distance (varying from 0.5 to 12 m) for both heterogeneous and macroscopically homogeneous sand columns. Further analysis reveals that, while solute retention in relatively immobile zones can be efficiently captured by the time nonlocal parameters in the t-fADE, the retention-independent solute movement in the mobile zone is affected by the spatial evolution of local velocities in the host medium, resulting in a scale-dependent dispersion coefficient. The same result may be found for the other standard time nonlocal transport models, such as the well-known multi-rate mass transfer (MRMT) model and the hydrologic version of continuous time random walk (CTRW), that separate solute retention and jumps (i.e., displacement). Therefore, the t-fADE with a constant dispersion coefficient cannot capture scale-dependent dispersion in saturated porous media, challenging the application for stochastic hydrogeology methods in quantifying real-world, pre-asymptotic transport. Hence, improvements on time nonlocal models using, for example the novel subordination approach, are necessary to incorporate the spatial evolution of local velocities without adding cumbersome parameters. Future improvements are also explored, given knowledge obtained in this study.
Author : Don Kulasiri
Publisher : Springer
ISBN 13 : 9783642431142
Total Pages : 0 pages
Book Rating : 4.4/5 (311 download)
Download or read book Non-fickian Solute Transport in Porous Media written by Don Kulasiri and published by Springer. This book was released on 2015-05-15 with total page 0 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.
Author : Akio Ogata
Publisher :
ISBN 13 :
Total Pages : 16 pages
Book Rating : 4.3/5 (121 download)
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:
Author : Eugene Sidney Simpson
Publisher :
ISBN 13 :
Total Pages : 40 pages
Book Rating : 4.3/5 (121 download)
Download or read book Transverse Dispersion in Liquid Flow Through Porous Media written by Eugene Sidney Simpson and published by . This book was released on 1962 with total page 40 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Yakov Pachepsky
Publisher : CRC Press
ISBN 13 : 0203011066
Total Pages : 470 pages
Book Rating : 4.2/5 (3 download)
Download or read book Scaling Methods in Soil Physics written by Yakov Pachepsky and published by CRC Press. This book was released on 2003-03-26 with total page 470 pages. Available in PDF, EPUB and Kindle. Book excerpt: The scaling issue remains one of the largest problems in soil science and hydrology. This book is a unique compendium of ideas, conceptual approaches, techniques, and methodologies for scaling soil physical properties. Scaling Methods in Soil Physics covers many methods of scaling that will be useful in helping scientists across a range of soil-rel
Author : Allen Hunt
Publisher : Springer
ISBN 13 : 3319037714
Total Pages : 466 pages
Book Rating : 4.3/5 (19 download)
Download or read book Percolation Theory for Flow in Porous Media written by Allen Hunt and published by Springer. This book was released on 2014-02-04 with total page 466 pages. Available in PDF, EPUB and Kindle. 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)
Download or read book Instruks f. Udførelsen af de praktiske Eksamensarbejder i Ladmaalin og Nivvelering ved Skovbrugseksamen written by and published by . This book was released on 1911 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : M. Thangarajan
Publisher : CRC Press
ISBN 13 : 1315352036
Total Pages : 858 pages
Book Rating : 4.3/5 (153 download)
Download or read book Groundwater Assessment, Modeling, and Management written by M. Thangarajan and published by CRC Press. This book was released on 2016-09-15 with total page 858 pages. Available in PDF, EPUB and Kindle. Book excerpt: Your Guide to Effective Groundwater Management Groundwater Assessment, Modeling, and Management discusses a variety of groundwater problems and outlines the solutions needed to sustain surface and ground water resources on a global scale. Contributors from around the world lend their expertise and provide an international perspective on groundwater management. They address the management of groundwater resources and pollution, waste water treatment methods, and the impact of climate change on groundwater and water availability (specifically in arid and semi-arid regions such as India and Africa). Incorporating management with science and modeling, the book covers all areas of groundwater resource assessment, modeling, and management, and combines hands-on applications with relevant theory. For Water Resource Managers and Decision Makers The book describes techniques for the assessment of groundwater potential, pollution, prevention, and remedial measures, and includes a new approach for groundwater modeling based on connections (network theory). Approximately 30 case studies and six hypothetical studies are introduced reflecting a range of themes that include: groundwater basics and the derivation of groundwater flow equations, exploration and assessment, aquifer parameterization, augmentation of aquifer, water and environment, water and agriculture, the role of models and their application, and water management policies and issues. The book describes remote sensing (RS) applications, geographical information systems (GIS), and electrical resistivity methods to delineate groundwater potential zones. It also takes a look at: Inverse modeling (pilot-points method) Simulation optimization models Radionuclide migration studies through mass transport modeling Modeling for mapping groundwater potential Modeling for vertical 2-D and 3-D groundwater flow Groundwater Assessment, Modeling, and Management explores the management of water resources and the impact of climate change on groundwater. Expert contributors provide practical information on hydrologic engineering and groundwater resources management for students, researchers, scientists, and other practicing professionals in environmental engineering, hydrogeology, irrigation, geophysics, and environmental science.
Author : William Taylor
Publisher :
ISBN 13 : 9781632403872
Total Pages : 0 pages
Book Rating : 4.4/5 (38 download)
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.
Author : Gedeon Dagan
Publisher : Springer Science & Business Media
ISBN 13 : 364275015X
Total Pages : 472 pages
Book Rating : 4.6/5 (427 download)
Download or read book Flow and Transport in Porous Formations written by Gedeon Dagan and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 472 pages. Available in PDF, EPUB and Kindle. Book excerpt: In the mid-seventies, a new area of research has emerged in subsurface hydrology, namely sto chastic modeling of flow and transport. This development has been motivated by the recognition of the ubiquitous presence of heterogeneities in natural formations and of their effect upon transport and flow, on the one hand, and by the vast expansion of computational capability provided by elec tronic machines, on the other. Apart from this, one of the areas in which spatial variability of for mation properties plays a cardinal role is of contaminant transport, a subject of growing interest and concern. I have been quite fortunate to be engaged in research in this area from its inception and to wit ness the rapid growth of the community and of the literature on spatial variability and its impact upon subsurface hydrology. In view of this increasing interest, I decided a few years ago that it would be useful to present the subject in a systematic and comprehensive manner in order to help those who wish to engage themselves in research or application of this new field. I viewed as my primary task to analyze the large scale heterogeneity of aquifers and its effect, presuming that the reader already possesses a background in traditional hydrology. This is achieved in Parts 3, 4 and 5 of the text which incorporate the pertinent material.
Author : Jim Douglas (Jr.)
Publisher : Springer Science & Business Media
ISBN 13 : 9783764329495
Total Pages : 196 pages
Book Rating : 4.3/5 (294 download)
Download or read book Flow in Porous Media written by Jim Douglas (Jr.) and published by Springer Science & Business Media. This book was released on 1993 with total page 196 pages. Available in PDF, EPUB and Kindle. Book excerpt: The papers deal with aspects of modeling, mathematical theory, numerical methods and applications in the engineering sciences.
Author : Randolf Rausch
Publisher :
ISBN 13 :
Total Pages : 214 pages
Book Rating : 4.F/5 ( download)
Download or read book Solute Transport Modelling written by Randolf Rausch and published by . This book was released on 2005 with total page 214 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Zhi Dou
Publisher : Springer Nature
ISBN 13 : 9819991870
Total Pages : 210 pages
Book Rating : 4.8/5 (199 download)
Download or read book Mass Transfer Dynamics of Contaminants in Fractured Media written by Zhi Dou and published by Springer Nature. This book was released on with total page 210 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : M.K. Singh
Publisher : Springer
ISBN 13 : 9811053294
Total Pages : 691 pages
Book Rating : 4.8/5 (11 download)
Download or read book Applications of Fluid Dynamics written by M.K. Singh and published by Springer. This book was released on 2017-11-04 with total page 691 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book presents high-quality papers presented at 3rd International Conference on Applications of Fluid Dynamics (ICAFD 2016) organized by Department of Applied Mathematics, ISM Dhanbad, Jharkhand, India in association with Fluid Mechanics Group, University of Botswana, Botswana. The main theme of the Conference is "Sustainable Development in Africa and Asia in context of Fluid Dynamics and Modeling Approaches". The book is divided into seven sections covering all applications of fluid dynamics and their allied areas such as fluid dynamics, nanofluid, heat and mass transfer, numerical simulations and investigations of fluid dynamics, magnetohydrodynamics flow, solute transport modeling and water jet, and miscellaneous. The book is a good reference material for scientists and professionals working in the field of fluid dynamics.
Author : C. S. Simmons
Publisher :
ISBN 13 :
Total Pages : 16 pages
Book Rating : 4.:/5 (175 download)
Download or read book Scale-dependent Effective Dispersion Coefficients for One-dimensional Solute Transport written by C. S. Simmons and published by . This book was released on 1987 with total page 16 pages. Available in PDF, EPUB and Kindle. Book excerpt:
