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. Authored by the world's pre-eminent experts in geophysical inverse theoryPresents 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 wayProvides a critical link between the methods used in gravity, electromagnetic, and seismic imaging and inversion, and represents an exhaustive treatise on geophysical inversion theoryFeatures more than 300 illustrations, figures, charts and graphs to underscore key concepts INDICE: Preface to the second edition Preface Introduction to Inversion Theory Forward and inverse problems in science and engineering Ill-posed problems and the methods of their solution Methods of the Solution of Inverse Problems Linear discrete inverse problems Iterative solutions of the linear inverse problem Nonlinear inversion technique Multinary inversion Resolution analysis of regularized geophysical inversion Monte Carlo methods Generalized joint inversion of multimodal data Geopotential Field Inversion Integral representations of 2-D gravity and magnetic fields Migration of 3-D gravity, gravity tensor, and total magnetic intensity data Numerical methods in forward and inverse modeling of geopotential Electromagnetic Inversion Foundations of electromagnetic theory Integral representations in electromagnetic forward modeling Integral representations in electromagnetic inversion Electromagnetic migration imaging Differential methods in electromagnetic modeling and inversion Seismic Inversion Wavefield equations Integral representations in wavefield theory Integral representations in full waveform inversion Bibliography Index
- ISBN: 978-0-444-62674-5
- Editorial: Elsevier Science
- Encuadernacion: Cartoné
- Páginas: 750
- Fecha Publicación: 01/08/2015
- Nº Volúmenes: 1
- Idioma: Inglés