Poroelasticity
This book treats the mechanics of porous materials infiltrated with a fluid (poromechanics), focussing on its linear theory (poroelasticity). Porous materials from inanimate bodies such as sand, soil and rock, living bodies such as plant tissue, animal fl
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Alexander H.- D. Cheng
Poroelasticity
Theory and Applications of Transport in Porous Media Volume 27
Series editor: S. Majid Hassanizadeh, Department of Earth Sciences, Utrecht University, The Netherlands Founding series editor: Jacob Bear
More information about this series at http://www.springer.com/series/6612
Alexander H.-D. Cheng
Poroelasticity
123
Alexander H.-D. Cheng University of Mississippi Oxford, Mississippi, USA
ISSN 0924-6118 ISSN 2213-6940 (electronic) Theory and Applications of Transport in Porous Media ISBN 978-3-319-25200-1 ISBN 978-3-319-25202-5 (eBook) DOI 10.1007/978-3-319-25202-5 Library of Congress Control Number: 2016937748 © Springer International Publishing Switzerland 2016 This work is subject to copyright. All rights are reserved by the Publisher, whether the whole or part of the material is concerned, specifically the rights of translation, reprinting, reuse of illustrations, recitation, broadcasting, reproduction on microfilms or in any other physical way, and transmission or information storage and retrieval, electronic adaptation, computer software, or by similar or dissimilar methodology now known or hereafter developed. The use of general descriptive names, registered names, trademarks, service marks, 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. The publisher, the authors and the editors are safe to assume that the advice and information in this book are believed to be true and accurate at the date of publication. Neither the publisher nor the authors or the editors give a warranty, express or implied, with respect to the material contained herein or for any errors or omissions that may have been made. Printed on acid-free paper This Springer imprint is published by Springer Nature The registered company is Springer International Publishing AG Switzerland
To Nady (Mme M. A. Biot) for her devotion to Dr. M. A. Biot
With Mme Biot in her Bruxelles apartment (2008)
During a visit to Leuven in 2008, I took the photo of the street scene across from the famous Library of Katholieke Universiteit Leuven without knowing that I had accidentally captured the Biot family house from 1924 to 1940 (see arrow). (Compare with Fig. F.1(b))
Preface
Porous materials are found in nature as inanimate objects, such as soils and rocks, in living bodies, such as plants, human flesh, and bones, and as manmade materials, such as polyurethane foams and nanofiltration filters. The pores, or voids, are distributed all over the space the porous body occupies, as cavities, fractures, fissures, vugs, capillary channels, and other interstitial and intergranular spaces. The pores are many, in various shapes and sizes, and are randomly oriented and distributed. For modeling purposes, it is either undesirable, or impossible, to describe their exact geometry and location. As a result, only the averaged, or “homogenized,” material properties and mechanical
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