000			06462cam a2200625Ii 4500
001			ocn914165874
003			OCoLC
005			20190328114812.0
006			m o d
007			cr cnu|||unuuu
008			150720t20152015ne a ob 001 0 eng d
040			_aN$T _beng _erda _epn _cN$T _dN$T _dOPELS _dEBLCP _dUIU _dYDXCP _dOCLCF _dKNOVL _dCOO _dDEBSZ _dOCLCQ _dOCLCA _dNLE _dSTF _dU3W _dD6H _dAU@ _dOCLCQ _dWYU _dDKU
019			_a914434570
020			_a9780444627124 _q(electronic bk.)
020			_a044462712X _q(electronic bk.)
020			_z9780444626745
020			_z0444626743
035			_a(OCoLC)914165874 _z(OCoLC)914434570
050		4	_aQC808.5
072		7	_aSCI _x019000 _2bisacsh
072		7	_aSCI _x032000 _2bisacsh
082	0	4	_a550.1515 _223
100	1		_aZhdanov, Michael S., _eauthor.
245	1	0	_aInverse theory and applications in geophysics / _h[electronic resource] _cMichael S. Zhdanov.
250			_a2nd ed.
264		1	_aAmsterdam : _bElsevier, _c2015
264		4	_c�2015
300			_a1 online resource : _billustrations.
336			_atext _btxt _2rdacontent
337			_acomputer _bc _2rdamedia
338			_aonline resource _bcr _2rdacarrier
490	1		_aMethods in geochemistry and geophysics ; _vvolume 36
504			_aIncludes bibliographical references and index.
588	0		_aOnline resource; title from PDF title page (EBSCO, viewed July 22, 2015).
520			_aGeophysical Inverse Theory and Applications, Second Edition, brings together fundamental results developed by the Russian mathematical school in regularization theory and combines them with the related research in geophysical inversion carried out in the West. It presents a detailed exposition of the methods of regularized solution of inverse problems based on the ideas of Tikhonov regularization, and shows the different forms of their applications in both linear and nonlinear methods of geophysical inversion. It's the first book of its kind to treat many kinds of inversion and imaging techniques in a unified mathematical manner. The book is divided in five parts covering the foundations of the inversion theory and its applications to the solution of different geophysical inverse problems, including potential field, electromagnetic, and seismic methods. Unique in its focus on providing a link between the methods used in gravity, electromagnetic, and seismic imaging and inversion, it represents an exhaustive treatise on inversion theory. Written by one of the world's foremost experts, this work is widely recognized as the ultimate researcher's reference on geophysical inverse theory and its practical scientific applications.
505	0		_aFront Cover; Inverse Theory and Applications in Geophysics; Copyright; Dedication; Contents; Preface to the Second Edition; Preface; Part I: Introduction to Inversion Theory; Chapter 1: Forward and Inverse Problems in Science and Engineering; 1.1 Formulation of Forward and Inverse Problems for Different Physical Fields; 1.1.1 Gravity Field; 1.1.2 Magnetic Field; 1.1.3 Electromagnetic Field; 1.1.4 Seismic Wavefield; 1.2 Existence and Uniqueness of the Inverse Problem Solutions; 1.2.1 Existence of the Solution; 1.2.2 Uniqueness of the Solution; 1.2.3 Practical Uniqueness.
505	8		_a1.3 Instability of the Inverse Problem Solution References; Chapter 2: Ill-Posed Problems and the Methods of Their Solution; 2.1 Sensitivity and Resolution of Geophysical Methods; 2.1.1 Formulation of the Inverse Problem in General Mathematical Spaces; 2.1.2 Sensitivity; 2.1.3 Resolution; 2.2 Formulation of Well-Posed and Ill-Posed Problems; 2.2.1 Well-Posed Problems; 2.2.2 Conditionally Well-Posed Problems; 2.2.3 Quasi-Solution of the Ill-Posed Problem; 2.3 Foundations of Regularization Methods of Inverse Problem Solution; 2.3.1 Regularizing Operators; 2.3.2 Stabilizing Functionals.
505	8		_a2.3.3 Tikhonov Parametric Functional2.4 Family of Stabilizing Functionals; 2.4.1 Stabilizing Functionals Revisited; 2.4.2 Representation of a Stabilizing Functional in the Form of a Pseudo-Quadratic Functional; 2.5 Definition of the Regularization Parameter; 2.5.1 Optimal Regularization Parameter Selection; 2.5.2 L-Curve Method of Regularization Parameter Selection; References; Part II: Methods of the Solution of Inverse Problems; Chapter 3: Linear Discrete Inverse Problems; 3.1 Linear Least-Squares Inversion; 3.1.1 The Linear Discrete Inverse Problem.
505	8		_a3.1.2 Systems of Linear Equations and Their General SolutionsMinimization of the misfit functional; 3.1.3 The Data Resolution Matrix; 3.2 Solution of the Purely Underdetermined Problem; 3.2.1 Underdetermined System of Linear Equations; 3.2.2 The Model Resolution Matrix; 3.3 Weighted Least-Squares Method; 3.4 Applying the Principles of Probability Theory to a Linear Inverse Problem; 3.4.1 Some Formulae and Notations from Probability Theory; 3.4.2 Maximum Likelihood Method; 3.4.3 Chi-Square Fitting; 3.5 Regularization Methods; 3.5.1 The Tikhonov Regularization Method.
505	8		_a3.5.2 Application of SLDM Method in Regularized Linear Inverse Problem Solution3.5.3 Integrated Sensitivity; 3.5.4 Definition of the Weighting Matrices for the Model Parameters and Data; 3.5.5 Controlled Sensitivity; 3.5.6 Approximate Regularized Solution of the Linear Inverse Problem; 3.5.7 The Levenberg-Marquardt Method; 3.5.8 The Maximum a Posteriori Estimation Method (the Bayes Estimation); 3.6 The Backus-Gilbert Method; 3.6.1 The Data Resolution Function; 3.6.2 The Spread Function; 3.6.3 Regularized Solution in the Backus-Gilbert Method; References.
650		0	_aInversion (Geophysics)
650		0	_aGeophysics _xMeasurement.
650		0	_aFunctional analysis.
650		0	_aMathematical optimization.
650		7	_aSCIENCE _xEarth Sciences _xGeneral. _2bisacsh
650		7	_aSCIENCE _xPhysics _xGeophysics. _2bisacsh
650		7	_aFunctional analysis. _2fast _0(OCoLC)fst00936061
650		7	_aGeophysics _xMeasurement. _2fast _0(OCoLC)fst00941024
650		7	_aInversion (Geophysics) _2fast _0(OCoLC)fst00978102
650		7	_aMathematical optimization. _2fast _0(OCoLC)fst01012099
655		4	_aElectronic books.
776	0	8	_iPrint version: _aZhdanov, Michael S. _tInverse Theory and Applications in Geophysics. _dBurlington : Elsevier Science, �2015 _z9780444626745
830		0	_aMethods in geochemistry and geophysics.
856	4	0	_3ScienceDirect _uhttp://www.sciencedirect.com/science/book/9780444626745
999			_c247118 _d247118