Inverse Theory and Applications in Geophysics (2^nd Ed.)

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.

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

Michael Zhdanov has been Professor at the University of Utah, Utah, USA, since 1993 and has been a director of CEMI since 1995. He received a Ph. D in 1970 from Moscow State University. He was a professor at the Moscow Academy of Oil and Gas, and head of the Department of Deep Electromagnetic Study before moving to the University of Utah. He was awarded an Honorary Diploma of Gauss Professorship by the Gottingen Academy of Sciences, Germany, in 1990 and was elected a full member of the Russian Academy of Natural Sciences in 1991. He received an Honorary Professorship from the China National Center of Geological Exploration Technology in 1997 and an Honorary Membership Award from the Society of Exploration Geophysicists in 2013. Dr. Zhdanov was elected as the Distinguished Professor at the University of Utah in 2016. He has been a Fellow of the Electromagnetics Academy, since 2002.