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Viser: Inverse Theory and Applications in Geophysics
Inverse Theory and Applications in Geophysics Vital Source e-bog
Michael S. Zhdanov
(2015)
Inverse Theory and Applications in Geophysics
Michael S Zhdanov
(2015)
Sprog: Engelsk
Detaljer om varen
- 2. Udgave
- Vital Source searchable e-book (Reflowable pages): 730 sider
- Udgiver: Elsevier Science (Juli 2015)
- ISBN: 9780444627124
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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Detaljer om varen
- 2. Udgave
- Hardback: 730 sider
- Udgiver: Elsevier Science & Technology (Juli 2015)
- ISBN: 9780444626745
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.
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
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