Abstract
The final chapter of the book describes the general principles of full waveform inversion and imaging based on integral representations of scalar and vector wavefields developed in the previous chapters. The integral equation representations and the corresponding linear and nonlinear approximations constitute a powerful tool for seismic inversion and for imaging seismic cross-sections. We show that this method makes it easier to determine the sensitivity matrix, which forms the cornerstone of any inversion algorithm. Also, the integral equation approach provides an analytical insight into the migration transformation, which is one of the most widely used methods of seismic imaging. As in the previous chapters, the discussion is restricted mostly to the fields satisfying wave equations. However, in the last section, we discuss the basic principles of full waveform elastic field inversion.
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