Zhdanov M.S. Geophysical Inverse Theory and Regularization Problems

Methods in Geochemistryand Geophysics 36 Geophysical Inverse Theory and Regularization Problems
University of Utah Salt Lake City UTAH, U.S.A. 635 p.
First edition 2002 ISBN: 0 444 51089 3 ISSN: 0076-6895Preface xIx
Introduction to Inversion Theory
Forw rd and inverse problems in geophysics
Formulation of forward and inverse problems for different geophysical fields
posedproblems and t he met hods of t heir solution
Methods of the Solution of Inverse Problems
Nonlinear inversion technique
Integral representations in inversion of gravity and magnetic data
Foundations of electromagnetic theory
Integral representations i electromagnetic forward modeling
Integral representations in electromagnetic inversion
Electromagnetic migration imaging
Differential methods in electromagnetic modeling and inversion
Seismic Inversion
Wave field equations
Integral representations in wavefield theory
Integral representations in wavefield inversion
Functional spaces of geophysical models and data
Operators in the spaces of model sand data
Linear operators and functionals revisitedE Some formulae and rules from matrix algebraF Some formulae and rules from tensor calculus