Michael S. Zhdanov

Inverse Theory and Applications in Geophysics (eBook, ePUB)

• Format: ePub

Produktbeschreibung

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.

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Produktdetails

• Verlag: Elsevier Science & Techn.
• Seitenzahl: 730
• Erscheinungstermin: 15. Juli 2015
• Englisch
• ISBN-13: 9780444627124
• Artikelnr.: 43814351

Autorenporträt

Michael S. Zhdanov is Professor of Geophysics in the Department of Geology and Geophysics at the University of Utah in Salt Lake City. Dr. Zhdanov is also Director of the Center of Electromagnetic Research at the same university. He has more than 30 years of experience in research and instruction in geophysical electromagnetic theory and he has authored more than 100 papers on the subject. He is the founding director of the Geoelectromagnetic Research Institute of the Russian Academy of Sciences and Member of the Russian Academy of Natural Science.

Inhaltsangabe

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