Abstract
Electromagnetic inversion is one of the most difficult problems of EM geophysics. In this chapter, we outline the basic principles of electromagnetic inversion and imaging based on the methods of regularization theory. The simplest approach to the solution of electromagnetic inverse problems is based on linearization of the forward modeling operator. This approach uses the family of linear and nonlinear approximations, described in Chapter 6. We introduce Born inversion based on the Born approximation and consider a corresponding method of fast conductivity imaging. We also discuss a general case of nonlinear inversion and present a family of gradient-type inversion methods including the steepest descent, Newton, and the conjugate gradient methods. A technique of efficient Fréchet derivative calculation is presented as well.
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