Geophysical Inverse Theory and Regularization Problems by Michael S. Zhdanov

By Michael S. Zhdanov

This ebook provides state of the art geophysical inverse thought built in sleek mathematical terminology. The booklet brings jointly primary effects built through the Russian mathematical college in regularization conception and combines them with the similar study in geophysical inversion conducted within the West. It provides a close exposition of the equipment of regularized answer of inverse difficulties in keeping with the tips of Tikhonov regularization, and exhibits different kinds of their functions in either linear and nonlinear tools of geophysical inversion. this article is the 1st to regard many forms of inversion and imaging concepts in a unified mathematical manner.

The ebook is split in 5 elements protecting the rules of the inversion idea and its functions to the answer of alternative geophysical inverse difficulties, together with strength box, electromagnetic, and seismic tools. the 1st half is an advent to inversion conception. the second one half incorporates a description of the elemental equipment of answer of the linear and nonlinear inverse difficulties utilizing regularization. the subsequent elements deal with the appliance of regularization tools in gravity and magnetic, electromagnetic, and seismic inverse difficulties. the most important connecting inspiration of those utilized elements of the booklet is the analogy among the recommendations of the ahead and inverse difficulties in numerous geophysical tools. The publication additionally contains chapters concerning the trendy know-how of geophysical imaging, according to seismic and electromagnetic migration.

This quantity is exclusive in its specialize in offering a hyperlink among the tools utilized in gravity, electromagnetic, and seismic imaging and inversion, and represents an exhaustive treatise on inversion theory.

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