Transport Phenomena in Porous Media Aspects of Micro/Macro Behaviour
This monograph presents an integrated perspective of the wide range of phenomena and processes applicable to the study of transport of species in porous materials. In order to formulate the entire range of porous media and their uses, this book gives the
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Yasuaki Ichikawa
A.P.S. Selvadurai
Transport Phenomena in Porous Media Aspects of Micro/Macro Behaviour
123
Yasuaki Ichikawa Okayama University Okayama Japan
A.P.S. Selvadurai McGill University Montr´eal Canada
ISBN 978-3-642-25332-4 e-ISBN 978-3-642-25333-1 DOI 10.1007/978-3-642-25333-1 Springer Heidelberg Dordrecht London New York Library of Congress Control Number: 2012930123 c Springer-Verlag Berlin Heidelberg 2012 This work is subject to copyright. All rights are reserved, whether the whole or part of the material is concerned, specifically the rights of translation, reprinting, reuse of illustrations, recitation, broadcasting, reproduction on microfilm or in any other way, and storage in data banks. Duplication of this publication or parts thereof is permitted only under the provisions of the German Copyright Law of September 9, 1965, in its current version, and permission for use must always be obtained from Springer. Violations are liable to prosecution under the German Copyright Law. The use of general descriptive names, registered names, trademarks, etc. in this publication does not imply, even in the absence of a specific statement, that such names are exempt from the relevant protective laws and regulations and therefore free for general use. Printed on acid-free paper Springer is part of Springer Science+Business Media (www.springer.com)
To Maria and Sally
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Note: Sections designated by a symbol | show some advanced topics, which beginners might like to skip.
Contents
1
2
Introduction .. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .. . . . . . . . . . . . . . . . . . . . 1.1 Transport Phenomena in Porous Media and Modeling .. . . . . . . . . . . . 1.2 Molecular Dynamics Simulation and Homogenization Analysis. . . . . . . . . . . . . . . . . . . . . . . .. . . . . . . . . . . . . . . . . . . . 1.3 Underground Disposal of HLW’s and Bentonite . . . . . . . . . . . . . . . . . . .
1 1
Introduction to Continuum Mechanics . . . . . . . . . . . . . .. . . . . . . . . . . . . . . . . . . . 2.1 Newtonian Mechanics . . . . . . . . . . . . . . . . . . . . . . . . . . .. . . . . . . . . . . . . . . . . . . . 2.2 Deformation Kinematics .. . . . . . . . . . . . . . . . . . . . . . . .. . . . . . . . . . . . . . . . . . . . 2.2.1 Motion and Configuration .. . . . . . . . . . . . .. . . . . . . . . . . . . . . . . . . . 2.2.2 Changes of Frame and Frame Indifference | .. . . . . . . . . . . . 2.2.3 Motion in a Non-inertial System | . . . .. . . . . . . . . . . . . . . . . . . . 2.2.4 Deformation Gradient, Strain and Strain Rate . . . . . . . . . . . . 2.2.5 Transport Theorems and Jump Condition . . . . . . . . . . . . . . . . . 2.3 Mass Conservation Law.. . . . . . . . . . . . . . . . . . . . . . . . .. . . . . . . . . . . . . . . . . . . . 2.4 Law of Conservation of Linear Momentum and Stress. . . . . . . . . . . . . 2.4.1 Eulerian Descriptions.. . . . . . . . . . . . . . . . . .. . . . . . . . . . . . . . . . . . . . 2.4.2 Lagrangian Descriptions |
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