Models and Methods of Magnetotellurics (eBook)

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Foreword 6
Contents 8
Basic Notations 13
Introduction 15
Magnetotelluric and Magnetovariational Response Functions 24
The Magnetotelluric Response Functions 25
1.1 On the Deterministic Nature of the Impedadance Tensor 25
1.2 Rotation of the Impedance Tensor 35
1.3 Dimensionality of the Impedance Tensor 38
1.4 Impedance Polar Diagrams 53
1.5 Dispersion Relations in the Impedance Tensor 59
1.6 On the Magnetotelluric Anomalies 67
The Impedance Eigenstate Problem 74
2.1 The Classical Formulation of the Tensor Eigenstate Problem 74
2.2 Polarization of the Magnetotelluric Field 76
2.3 Basic Approaches to the Impedance Eigenstate Problem 82
2.4 The Swift–Sims–Bostick Method 83
2.5 The Swift–Eggers Method 85
2.6 The La Torraca–Madden–Korringa Method 90
2.7 Final Remarks on the Impedance Eigenstate Problem 98
Separation of the Local and Regional Magnetotelluric Effects 104
3.1 Using the Local-Regional Decomposition 104
3.2 The Bahr and Groom-Bailey Methods 105
3.3 The Zhang-Roberts-Pedersen Method 122
3.4 The Chave-Smith Method 126
3.5 The Caldwell-Bibby-Brown Method 130
The Magnetovariational Response Functions 139
4.1 TheWiese–Parkinson Matrix 139
4.2 Vector Representation of the Wiese–Parkinson Matrix 145
4.3 Polar Diagrams of the Wiese–Parkinson Matrix 154
4.4 Magnetic Tensors 156
4.5 Magnetovariational Response Functions in the Superimposition Model 163
4.6 Magnetic Perturbation Ellipses 172
The Recent Developments 175
5.1 Advancement of the Plane-Wave Model 175
5.2 Synthesis of the Magnetotelluric Field 186
Basic Models of the Distortion Theory 202
Two Classic Models of the Distortion Theory 203
6.1 The Vertical-Interface Model 203
6.2 The Dike Model 211
Models of the Near-Surface Distortions 220
7.1 Distortions Caused by Small-Scale Near-Surface Inclusions 220
7.2 Two-Dimensional Conductance Models 227
7.3 Three-Dimensional Conductance Models 271
7.4 Models of Structures in the Basement Topography 289
Models of Deep Geoelectric Structures 303
8.1 Models of Crustal Conductive Zones 303
8.2 Models of Asthenosphere Conductive Zones 322
Models of Deep Faults 343
9.1 Near-Surface Inhomogeneity in the Presence of Conductive Faults 343
9.2 Deep Inhomogeneity in the Presence of Conductive Faults 350
9.3 Current Channeling in Conductive Faults 352
Interpretation of Magnetotelluric and Magnetovariational Data 355
Statement of Inverse Problem 356
10.1 On Multi-Dimensional Inverse Problem 357
10.2 Inverse Problem as a Sequence of Forward Problems 361
10.3 Three Questions of Hadamard 366
10.4 In the Light of the Theory of Ill-Posed Problems. 378
10.5 Comparison Criteria 390
The Interpretation Model 397
11.1 Analyzing the Static Distortions 397
11.2 Stratifying the Geoelectric Background 426
11.3 Identifying the Geoelectric Structures 430
11.4 Visualizing the Geoelectric Structures 436
11.5 Mapping the Sediments Conductance 455
Inversion Strategy 467
12.1 The Smoothing and Contrasting Inversions 467
12.2 The Hypotheses Test Mode 470
12.3 Quasi-One-Dimensional MT Inversion 470
12.4 Two-Dimensional Bimodal MV-MT Inversion 478
12.5 Two Approaches to Multicriterion Inverse Problem 495
12.6 Geoelctric Model of the Baikal Rift 507
12.7 Geoelectric Model of the Cascadia Subduction Zone 522
12.8 From Two-Dimensional Inversion to Three-Dimensional Inversion 555
Magnetotelluric Catechism ( Instead of Afterword) 559
References 561
Index 574