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Role Of Intra Pore Geometry And Flow Rate On Length Scales For The Transition Of Non Fickian To Fickian Contaminant Transport
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Book Synopsis Role Of Intra-Pore Geometry And Flow Rate On Length-Scales For The Transition Of Non-Fickian To Fickian Contaminant Transport by : Jacob Michael Bradley
Download or read book Role Of Intra-Pore Geometry And Flow Rate On Length-Scales For The Transition Of Non-Fickian To Fickian Contaminant Transport written by Jacob Michael Bradley and published by . This book was released on 2023 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: Hydraulic heterogeneity in aquifers contributes to non-Fickian transport characteristics, i.e., which cannot be defined by the continuum-scale advection-dispersion equation (ADE). We investigate the role of first-order heterogeneity, i.e., pore geometry's effect on the dispersion phenomenon of porous media. The research questions addressed are; how can we determine dispersion coefficient and dispersivity as a function of pore-scale geometry and various flow rate? Does dispersivity scale with length-scale even at the pore-scale? In this computational study, a series of intra-pore geometries are designed and quantified by a dimensionless pore geometry factor ([beta]), which captures a broad range of pores that likely exists due to diagenetic processes. Navier-Stokes and Advection-Diffusion equations are solved to examine the transport phenomenon via breakthrough curve (BTC) and residence time distribution (RTD). We determine a length-scale when non-Fickian features transition to the Fickian transport regime by sequentially extending the number of pores. Our results indicate that not only is the velocity distribution and its variance ([sigma]2) are dependent on the pore geometry, but its impact is amplified with flow rate. Consequently, the magnitude of non-Fickian becomes significant for complex pore shapes and require a longer length-scale for the Fickian transport. Thus, a larger velocity variance due to the effect of pore geometry and flow rate contributes to a larger dispersion and Dispersity where variations are found to be a function of [beta] and flow rate. We determine various constitutive equations to predict the length-scale needed for Fickian dispersion, the magnitude of non-Fickian features, the Fickian dispersion and dispersivity coefficients as a function of pore geometry factor (Îø) and velocity variance ([sigma]2) for various flow regimes, bridging the gap between the pore-scale and the continuum-sale.
Book Synopsis Pore-scale Flow and Contaminant Transport in Porous Media by : Young-Woo Kim
Download or read book Pore-scale Flow and Contaminant Transport in Porous Media written by Young-Woo Kim and published by . This book was released on 2006 with total page 183 pages. Available in PDF, EPUB and Kindle. Book excerpt: Below, each paragraph provides an abstract of 5 consecutive dissertation chapters, chapter 2 through 6.
Book Synopsis On Some Problems in the Simulation of Flow and Transport Through Porous Media by : Sunil George Thomas
Download or read book On Some Problems in the Simulation of Flow and Transport Through Porous Media written by Sunil George Thomas and published by . This book was released on 2009 with total page 450 pages. Available in PDF, EPUB and Kindle. Book excerpt: The dynamic solution of multiphase flow through porous media is of special interest to several fields of science and engineering, such as petroleum, geology and geophysics, bio-medical, civil and environmental, chemical engineering and many other disciplines. A natural application is the modeling of the flow of two immiscible fluids (phases) in a reservoir. Others, that are broadly based and considered in this work include the hydrodynamic dispersion (as in reactive transport) of a solute or tracer chemical through a fluid phase. Reservoir properties like permeability and porosity greatly influence the flow of these phases. Often, these vary across several orders of magnitude and can be discontinuous functions. Furthermore, they are generally not known to a desired level of accuracy or detail and special inverse problems need to be solved in order to obtain their estimates. Based on the physics dominating a given sub-region of the porous medium, numerical solutions to such flow problems may require different discretization schemes or different governing equations in adjacent regions. The need to couple solutions to such schemes gives rise to challenging domain decomposition problems. Finally, on an application level, present day environment concerns have resulted in a widespread increase in CO2 capture and storage experiments across the globe. This presents a huge modeling challenge for the future. This research work is divided into sections that aim to study various inter-connected problems that are of significance in sub-surface porous media applications. The first section studies an application of mortar (as well as nonmortar, i.e., enhanced velocity) mixed finite element methods (MMFEM and EV-MFEM) to problems in porous media flow. The mortar spaces are first used to develop a multiscale approach for parabolic problems in porous media applications. The implementation of the mortar mixed method is presented for two-phase immiscible flow and some a priori error estimates are then derived for the case of slightly compressible single-phase Darcy flow. Following this, the problem of modeling flow coupled to reactive transport is studied. Applications of such problems include modeling bio-remediation of oil spills and other subsurface hazardous wastes, angiogenesis in the transition of tumors from a dormant to a malignant state, contaminant transport in groundwater flow and acid injection around well bores to increase the permeability of the surrounding rock. Several numerical results are presented that demonstrate the efficiency of the method when compared to traditional approaches. The section following this examines (non-mortar) enhanced velocity finite element methods for solving multiphase flow coupled to species transport on non-matching multiblock grids. The results from this section indicate that this is the recommended method of choice for such problems. Next, a mortar finite element method is formulated and implemented that extends the scope of the classical mortar mixed finite element method developed by Arbogast et al (12) for elliptic problems and Girault et al (62) for coupling different numerical discretization schemes. Some significant areas of application include the coupling of pore-scale network models with the classical continuum models for steady single-phase Darcy flow as well as the coupling of different numerical methods such as discontinuous Galerkin and mixed finite element methods in different sub-domains for the case of single phase flow (21, 109). These hold promise for applications where a high level of detail and accuracy is desired in one part of the domain (often associated with very small length scales as in pore-scale network models) and a much lower level of detail at other parts of the domain (at much larger length scales). Examples include modeling of the flow around well bores or through faulted reservoirs. The next section presents a parallel stochastic approximation method (68, 76) applied to inverse modeling and gives several promising results that address the problem of uncertainty associated with the parameters governing multiphase flow partial differential equations. For example, medium properties such as absolute permeability and porosity greatly influence the flow behavior, but are rarely known to even a reasonable level of accuracy and are very often upscaled to large areas or volumes based on seismic measurements at discrete points. The results in this section show that by using a few measurements of the primary unknowns in multiphase flow such as fluid pressures and concentrations as well as well-log data, one can define an objective function of the medium properties to be determined, which is then minimized to determine the properties using (as in this case) a stochastic analog of Newton's method. The last section is devoted to a significant and current application area. It presents a parallel and efficient iteratively coupled implicit pressure, explicit concentration formulation (IMPEC) (52-54) for non-isothermal compositional flow problems. The goal is to perform predictive modeling simulations for CO2 sequestration experiments. While the sections presented in this work cover a broad range of topics they are actually tied to each other and serve to achieve the unifying, ultimate goal of developing a complete and robust reservoir simulator. The major results of this work, particularly in the application of MMFEM and EV-MFEM to multiphysics couplings of multiphase flow and transport as well as in the modeling of EOS non-isothermal compositional flow applied to CO2 sequestration, suggest that multiblock/multimodel methods applied in a robust parallel computational framework is invaluable when attempting to solve problems as described in Chapter 7. As an example, one may consider a closed loop control system for managing oil production or CO2 sequestration experiments in huge formations (the "instrumented oil field"). Most of the computationally costly activity occurs around a few wells. Thus one has to be able to seamlessly connect the above components while running many forward simulations on parallel clusters in a multiblock and multimodel setting where most domains employ an isothermal single-phase flow model except a few around well bores that employ, say, a non-isothermal compositional model. Simultaneously, cheap and efficient stochastic methods as in Chapter 8, may be used to generate history matches of well and/or sensor-measured solution data, to arrive at better estimates of the medium properties on the fly. This is obviously beyond the scope of the current work but represents the over-arching goal of this research.
Download or read book Flowing Matter written by Federico Toschi and published by Springer Nature. This book was released on 2019-09-25 with total page 309 pages. Available in PDF, EPUB and Kindle. Book excerpt: This open access book, published in the Soft and Biological Matter series, presents an introduction to selected research topics in the broad field of flowing matter, including the dynamics of fluids with a complex internal structure -from nematic fluids to soft glasses- as well as active matter and turbulent phenomena. Flowing matter is a subject at the crossroads between physics, mathematics, chemistry, engineering, biology and earth sciences, and relies on a multidisciplinary approach to describe the emergence of the macroscopic behaviours in a system from the coordinated dynamics of its microscopic constituents. Depending on the microscopic interactions, an assembly of molecules or of mesoscopic particles can flow like a simple Newtonian fluid, deform elastically like a solid or behave in a complex manner. When the internal constituents are active, as for biological entities, one generally observes complex large-scale collective motions. Phenomenology is further complicated by the invariable tendency of fluids to display chaos at the large scales or when stirred strongly enough. This volume presents several research topics that address these phenomena encompassing the traditional micro-, meso-, and macro-scales descriptions, and contributes to our understanding of the fundamentals of flowing matter. This book is the legacy of the COST Action MP1305 “Flowing Matter”.
Book Synopsis Mass Transfer To/from Distributed Sinks/Sources in Porous Media by : Weishu Zhao
Download or read book Mass Transfer To/from Distributed Sinks/Sources in Porous Media written by Weishu Zhao and published by . This book was released on 2006 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Reactive Transport in Porous Media by : Peter C. Lichtner
Download or read book Reactive Transport in Porous Media written by Peter C. Lichtner and published by Walter de Gruyter GmbH & Co KG. This book was released on 2018-12-17 with total page 452 pages. Available in PDF, EPUB and Kindle. Book excerpt: Volume 34 of Reviews in Mineralogy focuses on methods to describe the extent and consequences of reactive flow and transport in natural subsurface systems. Since the field of reactive transport within the Earth Sciences is a highly multidisciplinary area of research, including geochemistry, geology, physics, chemistry, hydrology, and engineering, this book is an attempt to some extent bridge the gap between these different disciplines. This volume contains the contributions presented at a short course held in Golden, Colorado, October 25-27, 1996 in conjunction with the Mineralogical Society of America's (MSA) Annual Meeting with the Geological Society of America in Denver, Colorado.
Book Synopsis Applied Contaminant Transport Modeling by : Chunmiao Zheng
Download or read book Applied Contaminant Transport Modeling written by Chunmiao Zheng and published by Wiley. This book was released on 1995-08-07 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: Applied Contaminant Transport Modeling Theory and Practice Chunmiao Zheng and Gordon D. Bennett The design of remedial systems for groundwater contamination requires a thorough understanding of how various interacting processes — advection, dispersion, and chemical reactions — influence the movement and fate of contaminants. Solute transport simulation provides an ideal vehicle to synthesize these controlling processes, evaluate their interactions, and test the effectiveness of remedial measures. Applied Contaminant Transport Modeling is the first complete resource designed to provide clear coverage of the basic principles of solute transport simulation — including the theory behind the most common numerical techniques for solving transport equations, and step-by-step guidance on the development and use of field-scale models. Written by two experts with extensive practical experience in the field, Applied Contaminant Transport Modeling clearly explains: Factors controlling the transport and fate of solutes in the subsurface —g including advective and dispersive transport and chemical reaction — and the equations governing these processes Development of mathematical models of solute transport regimes and representative analytical solutions to the transport equation Particle tracking as a practical tool for solving many types of field problems Development of Eulerian-Lagrangian methods for solving advection-dispersion-reaction equations Step-by-step development and application of solute transport models — emphasizing problem formulation, model setup, parameter selection, calibration, and sensitivity analysis Sources of uncertainty in transport simulation, and methods of evaluating and managing uncertainty Applied Contaminant Transport Modeling presents detailed case histories illustrating how hydrologists, geologists, chemists, and environmental engineers apply transport models in real-life situations, including landfills, hazardous waste sites, and contaminated aquifers. An optional diskette designed to accompany the text provides software to help the reader explore the concepts and techniques presented in the text and gain hands-on experience in transport simulation. Driven by growing concern over groundwater quality and the rapid dissemination of computer technology, solute transport simulation has become an essential means of evaluating and solving groundwater contamination and remediation problems. Applied Contaminant Transport Modeling provides you with the tools to master this significant field of study.
Book Synopsis Stochastic Subsurface Hydrology by : L. W. Gelhar
Download or read book Stochastic Subsurface Hydrology written by L. W. Gelhar and published by Prentice Hall. This book was released on 1993 with total page 408 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume describes new stochastic subsurface hydrology techniques and results and examines the basic stochastic methods used to treat flow and contaminant transport in naturally heterogeneous permeable earth materials.
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.
Book Synopsis Soil Physics with HYDRUS by : David E. Radcliffe
Download or read book Soil Physics with HYDRUS written by David E. Radcliffe and published by CRC Press. This book was released on 2018-10-03 with total page 388 pages. Available in PDF, EPUB and Kindle. Book excerpt: Numerical models have become much more efficient, making their application to problems increasingly widespread. User-friendly interfaces make the setup of a model much easier and more intuitive while increased computer speed can solve difficult problems in a matter of minutes. Co-authored by the software’s creator, Dr. Jirka Šimůnek, Soil Physics with HYDRUS: Modeling and Applications demonstrates one- and two-dimensional simulations and computer animations of numerical models using the HYDRUS software. Classroom-tested at the University of Georgia by Dr. David Radcliffe, this volume includes numerous examples and homework problems. It provides students with access to the HYDRUS-1D program as well as the Rosetta Module, which contains large volumes of information on the hydraulic properties of soils. The authors use HYDRUS-1D for problems that demonstrate infiltration, evaporation, and percolation of water through soils of different textures and layered soils. They also use it to show heat flow and solute transport in these systems, including the effect of physical and chemical nonequilibrium conditions. The book includes examples of two-dimensional flow in fields, hillslopes, boreholes, and capillary fringes using HYDRUS (2D/3D). It demonstrates the use of two other software packages, RETC and STANMOD, that complement the HYDRUS series. Hands-on use of the windows-based codes has proven extremely effective when learning the principles of water and solute movement, even for users with very little direct knowledge of soil physics and related disciplines and with limited mathematical expertise. Suitable for teaching an undergraduate or lower level graduate course in soil physics or vadose zone hydrology, the text can also be used for self-study on how to use the HYDRUS models. With the information in this book, you can run models for different scenarios and with different parameters, and thus gain a better understanding of the physics of water flow and contaminant transport.
Book Synopsis Applications Of Percolation Theory by : M Sahini
Download or read book Applications Of Percolation Theory written by M Sahini and published by CRC Press. This book was released on 2003-07-13 with total page 289 pages. Available in PDF, EPUB and Kindle. Book excerpt: Over the past two decades percolation theory has been used to explain and model a wide variety of phenomena that are of industrial and scientific importance. Examples include characterization of porous materials and reservoir rocks, fracture patterns and earthquakes in rocks, calculation of effective transport properties of porous media permeability, conductivity, diffusivity, etc., groundwater flow, polymerization and gelation, biological evolution, galactic formation in the universe, spread of knowledge, and many others. Most of such applications have resulted in qualitative as well as quantitative predictions for the system of interest. This book attempts to describe in simple terms some of these applications, outline the results obtained so far, and provide further references for future reading.
Book Synopsis Nitrate Contamination by : Istvan Bogardi
Download or read book Nitrate Contamination written by Istvan Bogardi and published by Springer Science & Business Media. This book was released on 2013-06-29 with total page 438 pages. Available in PDF, EPUB and Kindle. Book excerpt: The nitrate content of drinking water is rising at an alarming rate in several regions of NATO countries and elsewhere in the world. The increase is due to lack of proper sewage treatment, and primarily to excess fertilizer application. Also, eutrophication in several coastal areas is triggered by high nitrate concentrations. The main purpose of this book is to integrate scientific knowledge related to exposure assessment, health consequences and control of nitrate contamination in water. The motivation is related to the magnitude, the possible adverse health effects, and the high cost of control ling nitrate contamination. Future research tasks are defined by an interaction among hydro logists, toxicologists and environmental engineers in an integrated framework for nitrate risk management. The target readership of this book is a mix of university colleagues, practitioners from both the private and public sectors and advanced graduate students working with the hydrological, health science or environmental engineering aspects of nitrate contamination. The main conclusions include: 1. For risk assessment purposes, knowledge and sufficiently accurate models are available to predict nitrate load and its fate in water under changes in land use. 2. Once agricultural exposure controls are implemented, the response times in ground water may be so long as to make controls unrealistic. 3. It is still unknown whether agricultural best management practice is a compromise between nitrate risk reduction and agricultural revenue. 4. The current drinking water guidelines of 10 mg/L NOrN need not be changed.
Book Synopsis IUTAM Symposium on Physicochemical and Electromechanical, Interactions in Porous Media by : Jacques P. Huyghe
Download or read book IUTAM Symposium on Physicochemical and Electromechanical, Interactions in Porous Media written by Jacques P. Huyghe and published by Springer Science & Business Media. This book was released on 2005-10-18 with total page 412 pages. Available in PDF, EPUB and Kindle. Book excerpt: In the last decades, new experimental and numerical techniques have taken many advanced features of porous media mechanics down to practical engineering applications. This happened in areas that sometimes were not even suspected to be open to engineering ideas at all. The challenge that often faces engineers in the field of geomechanics, biomechanics, rheology and materials science is the translation of ideas existing in one field to solutions in the other. The purpose of the IUTAM symposium from which this proceedings volume has been compiled was to dive deep into the mechanics of those porous media that involve mechanics and chemistry, mechanics and electromagnetism, mechanics and thermal fluctuations of mechanics and biology. The different sections have purposely not been formed according to field interest, but on the basis of the physics involved.
Book Synopsis Flow and Transport in Porous Media and Fractured Rock by : Muhammad Sahimi
Download or read book Flow and Transport in Porous Media and Fractured Rock written by Muhammad Sahimi and published by John Wiley & Sons. This book was released on 2011-05-09 with total page 635 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Riverbank Filtration written by C. Ray and published by Springer Science & Business Media. This book was released on 2006-03-01 with total page 377 pages. Available in PDF, EPUB and Kindle. Book excerpt: Chittaranjan Ray, Ph. D. , P. E. University of Hawaii at Mãnoa Honolulu, Hawaii, United States Jürgen Schubert, M. Sc. Stadtwerke Düsseldorf AG Düsseldorf, Germany Ronald B. Linsky National Water Research Institute Fountain Valley, California, United States Gina Melin National Water Research Institute Fountain Valley, California, United States 1. What is Riverbank Filtration? The purpose ofthis book is to show that riverbank filtration (RBF) isa low-cost and efficient alternative water treatment for drinking-water applications. There are two immediate benefits to the increased use of RBF: Minimized need for adding chemicals like disinfectants and coagulants to surface water to control pathogens. Decreased costs to the community without increased risk to human health. Butwhat,exactly, isRBF? In humid regions, river water naturally percolates through the ground into aquifers (which are layers of sand and gravel that contain water underground) during high-flow conditions. In arid regions, most rivers lose flow, and the percolating water passes through soil and aquifer material until it reaches the water table. During these percolation processes, potential contaminants present in river water are filtered and attenuated. If there are no other contaminants present in the aquifer or ifthe respective contaminants are present at lower concentrations, the quality of water in the aquifer can be ofhigher quality than that found in theriver. In RBF, production wells — which are placed near the banks ofrivers —pump large quantities ofwater.
Book Synopsis Moisture Sensitivity of Plastic Packages of IC Devices by : X.J. Fan
Download or read book Moisture Sensitivity of Plastic Packages of IC Devices written by X.J. Fan and published by Springer Science & Business Media. This book was released on 2010-07-23 with total page 573 pages. Available in PDF, EPUB and Kindle. Book excerpt: Moisture Sensitivity of Plastic Packages of IC Devices provides information on the state-of-the-art techniques and methodologies related to moisture issues in plastic packages. The most updated, in-depth and systematic technical and theoretical approaches are addressed in the book. Numerous industrial applications are provided, along with the results of the most recent research and development efforts, including, but not limited to: thorough exploration of moisture's effects based on lectures and tutorials by the authors, consistent focus on solution-based approaches and methodologies for improved reliability in plastic packaging, emerging theories and cutting-edge industiral applications presented by the leading professionals in the field. Moisture plays a key role in the reliability of plastic packages of IC devices, and moisture-induced failures have become an increasing concern with the development of advanced IC devices. This second volume in the Micro- and Opto-Electronic Materials, Structures, and Systems series is a must-read for researchers and engineers alike.
Book Synopsis Engineering Polymer Systems for Improved Drug Delivery by : Rebecca A. Bader
Download or read book Engineering Polymer Systems for Improved Drug Delivery written by Rebecca A. Bader and published by John Wiley & Sons. This book was released on 2014-01-17 with total page 395 pages. Available in PDF, EPUB and Kindle. Book excerpt: Polymers have played a critical role in the rational design and application of drug delivery systems that increase the efficacy and reduce the toxicity of new and conventional therapeutics. Beginning with an introduction to the fundamentals of drug delivery, Engineering Polymer Systems for Improved Drug Delivery explores traditional drug delivery techniques as well as emerging advanced drug delivery techniques. By reviewing many types of polymeric drug delivery systems, and including key points, worked examples and homework problems, this book will serve as a guide to for specialists and non-specialists as well as a graduate level text for drug delivery courses.
