Inverse Theory and Applications in Geophysics

ISBN-13: 9780444626745 / Angielski / Twarda / 2015 / 730 str.

Zhdanov, Michael S.

Opis

Geophysical Inverse Theory and Applications, Second Edition, brings together fundamental results developed by the Russian mathematical school in regularization theory and combines them with the related research in geophysical inversion carried out in the West. It presents a detailed exposition of the methods of regularized solution of inverse problems based on the ideas of Tikhonov regularization, and shows the different forms of their applications in both linear and nonlinear methods of geophysical inversion. It's the first book of its kind to treat many kinds of inversion and imaging techniques in a unified mathematical manner. The book is divided in five parts covering the foundations of the inversion theory and its applications to the solution of different geophysical inverse problems, including potential field, electromagnetic, and seismic methods. Unique in its focus on providing a link between the methods used in gravity, electromagnetic, and seismic imaging and inversion, it represents an exhaustive treatise on inversion theory. Written by one of the world's foremost experts, this work is widely recognized as the ultimate researcher's reference on geophysical inverse theory and its practical scientific applications.

• Presents state-of-the-art geophysical inverse theory developed in modern mathematical terminology--the first to treat many kinds of inversion and imaging techniques in a unified mathematical way.
• Provides a critical link between the methods used in gravity, electromagnetic, and seismic imaging and inversion, and represents an exhaustive treatise on geophysical inversion theory.
• Features more than 300 illustrations, figures, charts and graphs to underscore key concepts.
• Reflects the latest developments in inversion theory and applications and captures the most significant changes in the field over the past decade.

Recenzje

"...will be very beneficial for graduate students in global geophysics and geophysical prospection, as well as utilized by professionals dealing with mathematical geophysics." --Pure and Applied Geophysics

Spis treści

Preface to the second edition Preface 1. Introduction to Inversion Theory 2. Forward and inverse problems in science and engineering 3. Ill-posed problems and the methods of their solution 4. Methods of the Solution of Inverse Problems 5. Linear discrete inverse problems 6. Iterative solutions of the linear inverse problem 7. Nonlinear inversion technique 8. Multinary inversion 9. Resolution analysis of regularized geophysical inversion 10. Monte Carlo methods 11. Generalized joint inversion of multimodal data 12. Geopotential Field Inversion 13. Integral representations of 2-D gravity and magnetic fields 14. Migration of 3-D gravity, gravity tensor, and total magnetic intensity data 15. Numerical methods in forward and inverse modeling of geopotential 16. Electromagnetic Inversion 17. Foundations of electromagnetic theory 18. Integral representations in electromagnetic forward modeling 19. Integral representations in electromagnetic inversion 20. Electromagnetic migration imaging 21. Differential methods in electromagnetic modeling and inversion 22. Seismic Inversion 23. Wavefield equations 24. Integral representations in wavefield theory 25. Integral representations in full waveform inversion Bibliography Index