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One of the major goals of geophysical inversion is to find earth models that explain the geophysical observations. Thus the branch of mathematics known as optimization has found significant use in many geophysical applications.Both local and global optimization methods are used in the estimation of material properties from geophysical data. As the title of the book suggests, the aim of this book is to describe the application of several recently developed global optimization methods to geophysical problems. • The well known linear and gradient based optimization methods have been summarized in order to explain their advantages and limitations• The theory of simulated annealing and genetic algorithms have been described in sufficient detail for the readers to understand the underlying fundamental principles upon which these algorithms are based• The algorithms have been described using simple flow charts (the algorithms are general and can be applied to a wide variety of problemsStudents, researchers and practitioners will be able to design practical algorithms to solve their specific geophysical inversion problems. The book is virtually self-contained so that there are no prerequisites, except for a fundamental mathematical background that includes a basic understanding of linear algebra and calculus.
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ADVANCES IN EXPLORATION GEOPHYSICS 4 GLOBAL OPTIMIZATION METHODS IN GEOPHYSICAL INVERSION This Page Intentionally Left Blank ADVANCES IN EXPLORATION GEOPHYSICS 4 GLOBAL OPTIMIZATION METHODS IN GEOPHYSICAL INVERSION MRINAL SEN AND PAUL L. STOFFA The University of Texas at Austin, Institute for Geophysics 8701 MoPac Expressway, Austin, Texas 78759-8397 USA ELSEVIER Amsterdam- L a u s a n n e - New York- Oxford - Shannon - Tokyo 1995 ELSEVIER SCIENCE B.V. P.O. Box 211, 1000 AE Amsterdam, The Netherlands Library oF Congress C a t a l o g i n g - i n - P u b l i c a t i o n Data Sen, M r I n a l K. Global o p t i m i z a t i o n methods in g e o p h y s i c a l I n v e r s i o n / M r l n a l K. Sen and Paul L. StoFFa. p. cm. - - (Advances In e x p l o r a t i o n geophysics ; 4) Includes bibliographical r e f e r e n c e s (p. ) and Index. ISBN 0 - 4 4 4 - 8 1 7 6 7 - 0 1. G e o l o g i c a l modeling. 2. G e o p h y s i c s - - M a t h e m a t i c a l models. 3. I n v e r s e problems ( D I F F e r e n t i a l e q u a t i o n s ) 4. M a t h e m a t i c a l optimization. I . StoFFa, Paul L . , 1948. Ii. Title. 111. S e r i e s . QE43.$46 1995 550'.1'13--dc20 95-12651 CIP ISBN: 0-444-81767-0 9 1995 Elsevier Science B.V. All rights reserved. No part of this publication may be reproduced, stored in a retrieval system or transmitted in any form or by any means, electronic, mechanical, photocopying, recording or otherwise, without the prior written permission of the publisher, Elsevier Science B.V. Copyright & Permissions Department, P.O. Box 521, 1000 AM Amsterdam, The Netherlands. Special regulations f o r readers in the USA - This publication has been registered with the Copyright Clearance Center Inc. (CCC), 222 Rosewood Drive, Danvers, MA 01923. Information can be obtained from the CCC about conditions under which photocopies of parts of this publication may be made in the U.S.A. All other copyright questions, including photocopying outside of the USA, should be referred to the publisher. No responsibility is assumed by the publisher for any injury and/or damage to persons or property as a matter of products liability, negligence or otherwise, or from any use or operation of any methods, products, instructions or ideas contained in the material herein. This book is printed on acid-free paper. Printed in The Netherlands. Preface One of the major goals of geophysica