The Boundary Element Method in Geophysical Survey
This volume is devoted to the application of the integral equations method (IEM) and boundary elements method (BEM) to problems involving the sounding of geological media using direct current (DC). Adaptive mesh generation algorithms and numerical methods
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Balgaisha Mukanova Igor Modin
The Boundary Element Method in Geophysical Survey
Innovation and Discovery in Russian Science and Engineering
Series Editors Carlos Brebbia Wessex Institute of Technology, Southampton, United Kingdom Jerome J. Connor Cambridge, Massachusetts, USA
More information about this series at http://www.springer.com/series/15790
Balgaisha Mukanova • Igor Modin
The Boundary Element Method in Geophysical Survey
Balgaisha Mukanova L.N. Gumilyov Eurasian National University Astana, Kazakhstan
Igor Modin Lomonosov Moscow State University Moscow, Russia
ISSN 2520-8047 ISSN 2520-8055 (electronic) Innovation and Discovery in Russian Science and Engineering ISBN 978-3-319-72907-7 ISBN 978-3-319-72908-4 (eBook) https://doi.org/10.1007/978-3-319-72908-4 Library of Congress Control Number: 2017962697 © Springer International Publishing AG 2018 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. The publisher remains neutral with regard to jurisdictional claims in published maps and institutional affiliations. Printed on acid-free paper This Springer imprint is published by Springer Nature The registered company is Springer International Publishing AG The registered company address is: Gewerbestrasse 11, 6330 Cham, Switzerland
Preface
This monograph focuses on the applications of the integral equations method (IEM), particularly with regard to the form of the boundary element method (BEM), for modeling the electrical resistivity tomography (ERT) method in geophysics. This book is written by two authors with different scientific backgrounds: Igor Modin is a geophysicist, and Balgaisha Mukanova conducts research on computational mathematics and inverse problems. This monograph reflects the theoretical and practical research of the authors over the past decade and the results of their collaboration since 2013. We consider the applications of the IEM and BEM to the study of geological media using direct current (DC). Both the IEM and the BEM allow for the solution o
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