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Download Geophysical Inverse Theory and Regularization Problems by Michael S. Zhdanov PDF

By Michael S. Zhdanov

This booklet provides state of the art geophysical inverse conception built in smooth mathematical terminology. The booklet brings jointly basic effects built via the Russian mathematical university in regularization idea and combines them with the similar learn in geophysical inversion performed within the West. It provides an in depth exposition of the equipment of regularized answer of inverse difficulties in response to the guidelines of Tikhonov regularization, and exhibits different varieties of their functions in either linear and nonlinear tools of geophysical inversion. this article is the 1st to regard many varieties of inversion and imaging ideas in a unified mathematical manner.

The booklet is split in 5 elements overlaying the principles of the inversion idea and its purposes to the answer of alternative geophysical inverse difficulties, together with capability box, electromagnetic, and seismic equipment. the 1st half is an advent to inversion conception. the second one half includes a description of the elemental equipment of resolution of the linear and nonlinear inverse difficulties utilizing regularization. the next components deal with the appliance of regularization tools in gravity and magnetic, electromagnetic, and seismic inverse difficulties. the foremost connecting suggestion of those utilized components of the publication is the analogy among the options of the ahead and inverse difficulties in numerous geophysical equipment. The e-book additionally contains chapters relating to the trendy expertise of geophysical imaging, in accordance with seismic and electromagnetic migration.

This quantity is exclusive in its concentrate on delivering 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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