Computational Modelling Of Multi Scale Solute Dispersion In Porous Media

Author : Don Kulasiri
Publisher : BoD – Books on Demand
Page : 246 pages
File Size : 47,6 Mb
Release : 2011-11-04
Category : Computers
ISBN : 9789533077260

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Computational Modelling of Multi-scale Solute Dispersion in Porous Media by Don Kulasiri Pdf

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 : Don Kulasiri,Wynand Verwoerd
Publisher : Elsevier
Page : 253 pages
File Size : 45,9 Mb
Release : 2002-11-22
Category : Mathematics
ISBN : 9780080541808

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Stochastic Dynamics. Modeling Solute Transport in Porous Media by Don Kulasiri,Wynand Verwoerd Pdf

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.

Author : Don Kulasiri
Publisher : Springer
Page : 227 pages
File Size : 40,9 Mb
Release : 2013-04-23
Category : Science
ISBN : 3642349862

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Non-fickian Solute Transport in Porous Media by Don Kulasiri Pdf

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 : J.M. Crolet
Publisher : Springer Science & Business Media
Page : 372 pages
File Size : 45,9 Mb
Release : 2013-03-14
Category : Science
ISBN : 9789401711142

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Computational Methods for Flow and Transport in Porous Media by J.M. Crolet Pdf

The first Symposium on Recent Advances in Problems of Flow and Transport in Porous Media was held in Marrakech in June '96 and has provided a focus for the utilization of computer methods for solving the many complex problems encountered in the field of solute transport in porous media. This symposium has been successful in bringing together scientists, physicists, hydrogeologists, researchers in soil and fluid mechanics and engineers involved in this multidisciplinary subject. It is clear that the utilization of computer-based models in this domain is still rapidly expanding and that new and novel solutions are being developed. The contributed papers which form this book reflect the recent advances, in particular with respect to new methods, inverse problems, reactive transport, unsaturated media and upscaling. These have been subdivided into the following sections: I. Numerical methods II. Mass transport and heat transfer III. Comparison with experimentation and simulation of real cases This book contains reviewed articles of the top presentations held during the International Symposium on Computer Methods in Porous Media Engineering which took place in Giens (France) in October 1998. All of the presentations and the optimism shown during the meeting provided further evidence that computer modeling is making remarkable progress and is indeed becoming an essential toolkit in the field of porous media and solute transport. I believe that the content of this book provides evidence of this and furthermore gives a comprehensive review of the theoretical developments and applications.

Author : Peter Bastian,Johannes Kraus,Robert Scheichl,Mary Wheeler
Publisher : Walter de Gruyter
Page : 224 pages
File Size : 41,8 Mb
Release : 2013-07-31
Category : Mathematics
ISBN : 9783110282245

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Simulation of Flow in Porous Media by Peter Bastian,Johannes Kraus,Robert Scheichl,Mary Wheeler Pdf

Subsurface flow problems are inherently multiscale in space due to the large variability of material properties and in time due to the coupling of many different physical processes, such as advection, diffusion, reaction and phase exchange. Subsurface flow models still need considerable development. For example, nonequilibrium effects, entrapped air, anomalous dispersion and hysteresis effects can still not be adequately described. Moreover, parameters of the models are diffcult to access and often uncertain. Computational issues in subsurface flows include the treatment of strong heterogeneities and anisotropies in the models, the effcient solution of transport-reaction problems with many species, treatment of multiphase-multicomponent flows and the coupling of subsurface flow models to surface flow models given by shallow water or Stokes equations. With respect to energy and the environment, in particular the modelling and simulation of radioactive waste management and sequestration of CO2 underground have gained high interest in the community in recent years. Both applications provide unique challenges ranging from modelling of clay materials to treating very large scale models with high-performance computing. This book brings together key numerical mathematicians whose interest is in the analysis and computation of multiscale subsurface flow and practitioners from engineering and industry whose interest is in the applications of these core problems.

Author : James E. McClure,Charlotte Garing,Anna L. Herring,Carl Fredrik Berg
Publisher : Frontiers Media SA
Page : 164 pages
File Size : 51,5 Mb
Release : 2022-11-29
Category : Science
ISBN : 9782832507476

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Pore-scale Microstructure, Mechanisms, and Models for Subsurface Flow and Transport by James E. McClure,Charlotte Garing,Anna L. Herring,Carl Fredrik Berg Pdf

Author : Kambiz Vafai
Publisher : CRC Press
Page : 946 pages
File Size : 52,6 Mb
Release : 2015-06-23
Category : Science
ISBN : 9781439885574

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Handbook of Porous Media by Kambiz Vafai Pdf

Handbook of Porous Media, Third Edition offers a comprehensive overview of the latest theories on flow, transport, and heat-exchange processes in porous media. It also details sophisticated porous media models which can be used to improve the accuracy of modeling in a variety of practical applications. Featuring contributions from leading experts i

Author : Mary P. Anderson,William W. Woessner,Randall J. Hunt
Publisher : Academic Press
Page : 630 pages
File Size : 40,6 Mb
Release : 2015-08-13
Category : Technology & Engineering
ISBN : 9780080916385

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Applied Groundwater Modeling by Mary P. Anderson,William W. Woessner,Randall J. Hunt Pdf

This second edition is extensively revised throughout with expanded discussion of modeling fundamentals and coverage of advances in model calibration and uncertainty analysis that are revolutionizing the science of groundwater modeling. The text is intended for undergraduate and graduate level courses in applied groundwater modeling and as a comprehensive reference for environmental consultants and scientists/engineers in industry and governmental agencies. Explains how to formulate a conceptual model of a groundwater system and translate it into a numerical model Demonstrates how modeling concepts, including boundary conditions, are implemented in two groundwater flow codes-- MODFLOW (for finite differences) and FEFLOW (for finite elements) Discusses particle tracking methods and codes for flowpath analysis and advective transport of contaminants Summarizes parameter estimation and uncertainty analysis approaches using the code PEST to illustrate how concepts are implemented Discusses modeling ethics and preparation of the modeling report Includes Boxes that amplify and supplement topics covered in the text Each chapter presents lists of common modeling errors and problem sets that illustrate concepts

Author : John H. Cushman,Daniel M. Tartakovsky
Publisher : CRC Press
Page : 1940 pages
File Size : 47,6 Mb
Release : 2016-11-25
Category : Science
ISBN : 9781315354538

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The Handbook of Groundwater Engineering, Third Edition by John H. Cushman,Daniel M. Tartakovsky Pdf

This new edition adds several new chapters and is thoroughly updated to include data on new topics such as hydraulic fracturing, CO2 sequestration, sustainable groundwater management, and more. Providing a complete treatment of the theory and practice of groundwater engineering, this new handbook also presents a current and detailed review of how to model the flow of water and the transport of contaminants both in the unsaturated and saturated zones, covers the protection of groundwater, and the remediation of contaminated groundwater.

Author : Valeria V. Krzhizhanovskaya,Gábor Závodszky,Michael H. Lees,Jack J. Dongarra,Peter M. A. Sloot,Sérgio Brissos,João Teixeira
Publisher : Springer Nature
Page : 786 pages
File Size : 52,9 Mb
Release : 2020-06-19
Category : Computers
ISBN : 9783030504366

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Computational Science – ICCS 2020 by Valeria V. Krzhizhanovskaya,Gábor Závodszky,Michael H. Lees,Jack J. Dongarra,Peter M. A. Sloot,Sérgio Brissos,João Teixeira Pdf

The seven-volume set LNCS 12137, 12138, 12139, 12140, 12141, 12142, and 12143 constitutes the proceedings of the 20th International Conference on Computational Science, ICCS 2020, held in Amsterdam, The Netherlands, in June 2020.* The total of 101 papers and 248 workshop papers presented in this book set were carefully reviewed and selected from 719 submissions (230 submissions to the main track and 489 submissions to the workshops). The papers were organized in topical sections named: Part I: ICCS Main Track Part II: ICCS Main Track Part III: Advances in High-Performance Computational Earth Sciences: Applications and Frameworks; Agent-Based Simulations, Adaptive Algorithms and Solvers; Applications of Computational Methods in Artificial Intelligence and Machine Learning; Biomedical and Bioinformatics Challenges for Computer Science Part IV: Classifier Learning from Difficult Data; Complex Social Systems through the Lens of Computational Science; Computational Health; Computational Methods for Emerging Problems in (Dis-)Information Analysis Part V: Computational Optimization, Modelling and Simulation; Computational Science in IoT and Smart Systems; Computer Graphics, Image Processing and Artificial Intelligence Part VI: Data Driven Computational Sciences; Machine Learning and Data Assimilation for Dynamical Systems; Meshfree Methods in Computational Sciences; Multiscale Modelling and Simulation; Quantum Computing Workshop Part VII: Simulations of Flow and Transport: Modeling, Algorithms and Computation; Smart Systems: Bringing Together Computer Vision, Sensor Networks and Machine Learning; Software Engineering for Computational Science; Solving Problems with Uncertainties; Teaching Computational Science; UNcErtainty QUantIficatiOn for ComputationAl modeLs *The conference was canceled due to the COVID-19 pandemic. Chapter ‘APE: A Command-Line Tool and API for Automated Workflow Composition’ is available open access under a Creative Commons Attribution 4.0 International License via link.springer.com.

Author : Rafid Al-Khoury,Jochen Bundschuh
Publisher : CRC Press
Page : 566 pages
File Size : 55,6 Mb
Release : 2014-04-17
Category : Mathematics
ISBN : 9781315778723

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Computational Models for CO2 Geo-sequestration & Compressed Air Energy Storage by Rafid Al-Khoury,Jochen Bundschuh Pdf

A comprehensive mathematical and computational modeling of CO2 Geosequestration and Compressed Air Energy StorageEnergy and environment are two interrelated issues of great concern to modern civilization. As the world population will soon reach eight billion, the demand for energy will dramatically increase, intensifying the use of fossil fuels. Ut

Author : M B Liu,G R Liu
Publisher : World Scientific
Page : 400 pages
File Size : 51,6 Mb
Release : 2015-12-28
Category : Mathematics
ISBN : 9789814571715

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Particle Methods for Multi-Scale and Multi-Physics by M B Liu,G R Liu Pdf

Multi-scale and multi-physics modeling is useful and important for all areas in engineering and sciences. Particle Methods for Multi-Scale and Multi-Physics systematically addresses some major particle methods for modeling multi-scale and multi-physical problems in engineering and sciences. It contains different particle methods from atomistic scales to continuum scales, with emphasis on molecular dynamics (MD), dissipative particle dynamics (DPD) and smoothed particle hydrodynamics (SPH). This book covers the theoretical background, numerical techniques and many interesting applications of the particle methods discussed in this text, especially in: micro-fluidics and bio-fluidics (e.g., micro drop dynamics, movement and suspension of macro-molecules, cell deformation and migration); environmental and geophysical flows (e.g., saturated and unsaturated flows in porous media and fractures); and free surface flows with possible interacting solid objects (e.g., wave impact, liquid sloshing, water entry and exit, oil spill and boom movement). The presented methodologies, techniques and example applications will benefit students, researchers and professionals in computational engineering and sciences. Contents:IntroductionMolecular DynamicsDissipative Particle Dynamics — MethodologyDissipative Particle Dynamics — ApplicationsSmoothed Particle Hydrodynamics — MethodologySmoothed Particle Hydrodynamics — ApplicationsThree Typical Particle Methods Readership: Undergraduates, graduates, researchers, and professionals studying/dealing with fluid mechanics, numerical analysis and computational mathematics, engineering mechanics, ocean engineering, mechanical engineering. Key Features:The authors have many years of experience in meshfree and particle methods, and are renowned scientists in related areas, with highly cited publications. This can greatly attracts fellow researchers from all around the world to probe the latest development on current major particle methodsThe authors have authored numerous technical publications, and many popular books. They truly understand what the fellow researchers think and wantThe authors have extensive network in academics and research. It is comparatively easy to introduce the book to professional organizations, international conferences, and different academic bodies such as universities and research institutesKeywords:Computer Modeling;Numerical Methods;Meshfree Particle Methods;Smoothed Particle Hydrodynamics;Dissipative Particle Dynamics;Molecular Dynamics

Author : Anonim
Publisher : Unknown
Page : 354 pages
File Size : 51,6 Mb
Release : 1993
Category : Mechanics, Applied
ISBN : OSU:32435026160515

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Applied Mechanics Reviews by Anonim Pdf

Author : Martin A. Diaz Viera,Pratap Sahay,Manuel Coronado,Arturo Ortiz Tapia
Publisher : CRC Press
Page : 372 pages
File Size : 54,7 Mb
Release : 2012-07-24
Category : Mathematics
ISBN : 9780415665377

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Mathematical and Numerical Modeling in Porous Media by Martin A. Diaz Viera,Pratap Sahay,Manuel Coronado,Arturo Ortiz Tapia Pdf

Porous media are broadly found in nature and their study is of high relevance in our present lives. In geosciences porous media research is fundamental in applications to aquifers, mineral mines, contaminant transport, soil remediation, waste storage, oil recovery and geothermal energy deposits. Despite their importance, there is as yet no complete understanding of the physical processes involved in fluid flow and transport. This fact can be attributed to the complexity of the phenomena which include multicomponent fluids, multiphasic flow and rock-fluid interactions. Since its formulation in 1856, Darcy’s law has been generalized to describe multi-phase compressible fluid flow through anisotropic and heterogeneous porous and fractured rocks. Due to the scarcity of information, a high degree of uncertainty on the porous medium properties is commonly present. Contributions to the knowledge of modeling flow and transport, as well as to the characterization of porous media at field scale are of great relevance. This book addresses several of these issues, treated with a variety of methodologies grouped into four parts: I Fundamental concepts II Flow and transport III Statistical and stochastic characterization IV Waves The problems analyzed in this book cover diverse length scales that range from small rock samples to field-size porous formations. They belong to the most active areas of research in porous media with applications in geosciences developed by diverse authors. This book was written for a broad audience with a prior and basic knowledge of porous media. The book is addressed to a wide readership, and it will be useful not only as an authoritative textbook for undergraduate and graduate students but also as a reference source for professionals including geoscientists, hydrogeologists, geophysicists, engineers, applied mathematicians and others working on porous media.

Author : Yuzhou Luo
Publisher : BoD – Books on Demand
Page : 358 pages
File Size : 51,5 Mb
Release : 2012-04-20
Category : Technology & Engineering
ISBN : 9789535105190

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Novel Approaches and Their Applications in Risk Assessment by Yuzhou Luo Pdf

Risk assessment is a critical component in the evaluation and protection of natural or anthropogenic systems. Conventionally, risk assessment is involved with some essential steps such as the identification of problem, risk evaluation, and assessment review. Other novel approaches are also discussed in the book chapters. This book is compiled to communicate the latest information on risk assessment approaches and their effectiveness. Presented materials cover subjects from environmental quality to human health protection.