Fundamentals of Computational Geoscience Numerical Methods and Algor
This monograph aims to provide state-of-the-art numerical methods, procedures and algorithms in the field of computational geoscience, based on the authors’ own work during the last decade. Although some theoretical results are provided to verify numerica
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Chongbin Zhao · Bruce E. Hobbs · Alison Ord
Fundamentals of Computational Geoscience Numerical Methods and Algorithms
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Dr. Chongbin Zhao Computational Geosciences Research Centre Central South University Changsha, China [email protected]
Dr. Bruce E. Hobbs School of Earth and Geographical Sciences The University of Western Australia Perth, Australia [email protected]
Dr. Alison Ord School of Earth and Geographical Sciences The University of Western Australia Perth, Australia and CSIRO Division of Exploration and Mining Perth, Australia [email protected]
ISBN 978-3-540-89742-2
e-ISBN 978-3-540-89743-9
DOI 10.1007/978-3-540-89743-9 Lecturer Notes in Earth Sciences ISSN 0930-0317 Library of Congress Control Number: 2008942068 c Springer-Verlag Berlin Heidelberg 2009 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. Cover design: deblik, Berlin Printed on acid-free paper 9 8 7 6 5 4 3 2 1 springer.com
Acknowledgements
Dr Chongbin Zhao expresses his sincere thanks to his wife, Ms Peiying Xu, for her persistent support and encouragement, without which it would be impossible to write this monograph. We are very grateful to the Central South University for financial support during writing this monograph. The partial work of this monograph is also financially supported by the Natural Science Foundation of China (Grant Nos: 10872219 and 10672190). We express our thanks to the anonymous referees for their valuable reviews of this monograph.
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Preamble
In recent years, numerical methods and computational simulations provide a new way to deal with many geoscience problems, for which the traditionally-used theoretical and experimental methods may not be valid as a result of the large time and length scales of the problems themselves. This enables many hitherto unsolvable geoscience problems to be solved using numerical methods and computational simulations. In particular, through wide application of computational science to geoscience problems, a new discipline, namely computational geoscience, has been established. However, because of the extremely large length and time scales, the numerical simulation of a real geological world also provides many challenging problems for researchers involved in the fiel
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