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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
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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
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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
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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.
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Preface One of the major goals of geophysica