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Geophysical electromagnetic theory and methods / / Michael S. Zhdanov
| Geophysical electromagnetic theory and methods / / Michael S. Zhdanov |
| Autore | Zhdanov Mikhail Semenovich |
| Pubbl/distr/stampa | Oxford, : Elsevier, 2009 |
| Descrizione fisica | 1 online resource (869 p.) |
| Disciplina |
622.153
622.15 |
| Collana | Methods in geochemistry and geophysics |
| Soggetto topico |
Electromagnetic measurements
Prospecting - Geophysical methods |
| ISBN |
9786612169106
9781282169104 1282169106 9780080931760 0080931766 |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Front Cover; Geophysical Electromagnetic Theory and Methods; Copyright Page; Contents; Preface; Part I: Introduction to Field Theory; Chapter 1. Differential Calculus of Vector Fields and Differential Forms; 1.1 The Basic Differential Relationships of Field Theory; 1.2 The Basic Integral Relationships of Field Theory; 1.3 Differential Forms in Field Theory; References and Recommended Reading; Chapter 2. Foundations of Field Theory; 2.1 Field Generation; 2.2 Stationary Field Equations and Methods of Their Solutions; 2.3 Scalar and Vector Potentials of the Stationary Field
2.4 Nonstationary Fields and Differential FormsReferences and Recommended Reading; Part II: Foundations of Electromagnetic Theory; Chapter 3. Electromagnetic Field Equations; 3.1 Maxwell's Equations and Boundary Conditions; 3.2 Time-Harmonic Electromagnetic Field; 3.3 Electromagnetic Energy and Poynting's Theorem; 3.4 Electromagnetic Green's Tensors; 3.5 Reciprocity Relations; References and Recommended Reading; Chapter 4. Models of Electromagnetic Induction in the Earth; 4.1 Models of Electromagnetic Fields; 4.2 Static Electromagnetic Fields 4.3 Electromagnetic Field Diffusion in Conductive Media4.4 Electromagnetic Waves; References and Recommended Reading; Chapter 5. Electromagnetic Fields in Horizontally Stratified Media; 5.1 Plane Wave Propagation in a Layered Earth; 5.2 Spectral Method of Computing EM Fields in Horizontally Stratified Media; 5.3 Electromagnetic Field of an Arbitrary System of Magnetospheric Currents in a Horizontally Homogeneous Medium; 5.4 Eectromagnetic Fields Generated in Layered Earth by Electric and Magnetic Dipole Transmitters; References and Recommended Reading Chapter 6. Electromagnetic Fields in Inhomogeneous Media6.1 Integral Equation Method; 6.2 Integral Equation Method in Models with Inhomogeneous Background Conductivity; 6.3 Family of Linear and Nonlinear Integral Approximations of the Electromagnetic Field; 6.4 Differential Equation Methods; References and Recommended Reading; Part III: Inversion and Imaging of Electromagnetic Field Data; Chapter 7. Principles of Ill-Posed Inverse Problem Solution; 7.1 Ill-Posed Inverse Problems; 7.2 Foundations of Regularization Theory; 7.3 Regularization Parameter; References and Recommended Reading Chapter 8. Electromagnetic Inversion8.1 Linear Inversions; 8.2 Nonlinear Inversion; 8.3 Quasi-Linear Inversion; 8.4 Quasi-Analytical Inversion; References and Recommended Reading; Chapter 9. Electromagnetic Migration; 9.1 Electromagnetic Migration in the Time Domain; 9.2 Analytic Continuation and Migration in the (k,ω) Domain; 9.3 Finite Difference Migration; 9.4 Visualization of Geoelectric Structures by Use of Migration in the Frequency and Time Domains; 9.5 Migration Versus Inversion; References and Recommended Reading; Part IV: Geophysical Electromagnetic Methods Chapter 10. Electromagnetic Properties of Rocks and Minerals |
| Record Nr. | UNINA-9911006617803321 |
Zhdanov Mikhail Semenovich
|
||
| Oxford, : Elsevier, 2009 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Geophysical inverse theory and regularization problems / / Michael S. Zhdanov
| Geophysical inverse theory and regularization problems / / Michael S. Zhdanov |
| Autore | Zhdanov Mikhail Semenovich |
| Edizione | [1st ed.] |
| Pubbl/distr/stampa | Amsterdam, : Elsevier, 2002 |
| Descrizione fisica | 1 online resource (635 p.) |
| Disciplina |
550
550.1515 622.150151 |
| Collana | Methods in geochemistry and geophysics |
| Soggetto topico |
Inversion (Geophysics)
Geophysics - Measurement Functional analysis Mathematical optimization |
| ISBN |
1-281-04863-1
9786611048631 0-08-053250-0 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Cover; Contents; Preface; Part I: Introduction to Inversion Theory; Chapter 1. Forward and inverse problems in geophysics; 1.1 Formulation of forward and inverse problems for different geophysical fields; 1.2 Existence and uniqueness of the inverse problem solutions; 1.3 Instability of the inverse problem solution; Chapter 2. ILL-Posed problems and the methods of their solution; 2.1 Sensitivity and resolution of geophysical methods; 2.2 Formulation of well-posed and ill-posed problems; 2.3 Foundations of regularization methods of inverse problem solution; 2.4 Family of stabilizing functionals
2.5 Definition of the regularization parameterPart II: Methods of the Solution of Inverse Problems; Chapter 3. Linear discrete inverse problems; 3.1 Linear least-squares inversion; 3.2 Solution of the purely underdetermined problem; 3.3 Weighted least-squares method; 3.4 Applying the principles of probability theory to a linear inverse problem; 3.5 Regularization methods; 3.6 The Backus-Gilbert Method; Chapter 4. Iterative solutions of the linear inverse problem; 4.1 Linear operator equations and their solution by iterative methods; 4.2 A generalized minimal residual method 4.3 The regularization method in a linear inverse problem solutionChapter 5. Nonlinear inversion technique; 5.1 Gradient-type methods; 5.2 Regularized gradient-type methods in the solution of nonlinear inverse problems; 5.3 Regularized solution of a nonlinear discrete inverse problem; 5.4 Conjugate gradient re-weighted optimization; Part III: Geopotential Field Inversion; Chapter 6. Integral representations in forward modeling of gravity and magnetic fields; 6.1 Basic equations for gravity and magnetic fields 6.2 Integral representations of potential fields based on the theory of functions of a complex variableChapter 7. Integral representations in inversion of gravity and magnetic data; 7.1 Gradient methods of gravity inversion; 7.2 Gravity field migration; 7.3 Gradient methods of magnetic anomaly inversion; 7.4 Numerical methods in forward and inverse modeling; Part IV: Electromagnetic Inversion; Chapter 8. Foundations of electromagnetic theory; 8.1 Electromagnetic field equations; 8.2 Electromagnetic energy flow; 8.3 Uniqueness of the solution of electromagnetic field equations 8.4 Electromagnetic Green's tensorsChapter 9. Integral representations in electromagnetic forward modeling; 9.1 Integral equation method; 9.2 Family of linear and nonlinear integral approximations of the electromagnetic field; 9.3 Linear and non-linear approximations of higher orders; 9.4 Integral representations in numerical dressing; Chapter 10. Integral representations in electromagnetic inversion; 10.1 Linear inversion methods; 10.2 Nonlinear inversion; 10.3 Quasi-linear inversion; 10.4 Quasi-analytical inversion; 10.5 Magnetotelluric (MT) data inversion Chapter 11. Electromagnetic migration imaging |
| Record Nr. | UNINA-9911004759003321 |
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Zhdanov Mikhail Semenovich
|
||
| Amsterdam, : Elsevier, 2002 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Inverse theory and applications in geophysics / / Michael S. Zhdanov
| Inverse theory and applications in geophysics / / Michael S. Zhdanov |
| Autore | Zhdanov Mikhail Semenovich |
| Edizione | [Second edition.] |
| Pubbl/distr/stampa | Amsterdam, Netherlands : , : Elsevier, , 2015 |
| Descrizione fisica | 1 online resource (731 p.) |
| Disciplina | 550.1515 |
| Collana | Methods in Geochemistry and Geophysics |
| Soggetto topico |
Inversion (Geophysics)
Geophysics - Measurement Functional analysis |
| ISBN | 0-444-62712-X |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Front 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
1.3 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 2.3.3 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 3.1.2 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 3.5.2 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 Chapter 4: Iterative Solutions of the Linear Inverse Problem |
| Record Nr. | UNINA-9910797356103321 |
|
Zhdanov Mikhail Semenovich
|
||
| Amsterdam, Netherlands : , : Elsevier, , 2015 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Inverse theory and applications in geophysics / / Michael S. Zhdanov
| Inverse theory and applications in geophysics / / Michael S. Zhdanov |
| Autore | Zhdanov Mikhail Semenovich |
| Edizione | [Second edition.] |
| Pubbl/distr/stampa | Amsterdam, Netherlands : , : Elsevier, , 2015 |
| Descrizione fisica | 1 online resource (731 p.) |
| Disciplina | 550.1515 |
| Collana | Methods in Geochemistry and Geophysics |
| Soggetto topico |
Inversion (Geophysics)
Geophysics - Measurement Functional analysis |
| ISBN | 0-444-62712-X |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Front 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
1.3 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 2.3.3 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 3.1.2 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 3.5.2 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 Chapter 4: Iterative Solutions of the Linear Inverse Problem |
| Record Nr. | UNINA-9910811684503321 |
|
Zhdanov Mikhail Semenovich
|
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| Amsterdam, Netherlands : , : Elsevier, , 2015 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||