By
Michael Zhdanov, Department of Geology and Geophysics, University of Utah, Salt Lake City, USA
Description
This book presents state-of-the-art geophysical inverse theory developed in modern mathematical terminology. The book 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. This text is the first 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. The first part is an introduction
to inversion theory. The second part contains a description of the basic methods of solution of the linear and nonlinear inverse problems
using regularization. The following parts treat the application of regularization methods in gravity and magnetic, electromagnetic,
and seismic inverse problems. The key connecting idea of these applied parts of the book is the analogy between the solutions of the
forward and inverse problems in different geophysical methods. The book also includes chapters related to the modern technology of geophysical
imaging, based on seismic and electromagnetic migration.
This volume is unique in its focus on providing a link between the methods
used in gravity, electromagnetic, and seismic imaging and inversion, and represents an exhaustive treatise on inversion theory.
Included in series
Methods in Geochemistry and Geophysics
