9783540778110

"Magnetotelluric methods are finding increasing applications for imagining electrically conductive structures below the Earth's surface in both industrial and academic research. In Models and Methods of Magnetotellurics, the authors provide a systematic approach to understanding the modern theory of ill-posed problems which is essential to making confident meaningful interpretation of magnetotelluric and magnetovariational soundings. The interpretation is conducted out in an interactive way, including the hypotheses tests and successive partial inversions with priority of the tippers, magnetic tensors and impedance-phases, which keep out the destructive static effects of near-surface inhomogeneities. The efficiency of the interpretation is exemplified by new geoelectric models of the Baikal rift zone and the Cascadian subduction zone."--BOOK JACKET.

Vladimir I. Dmitriev is a Professor with the Department of Computing Mathematics and Cybernetics of Moscow University.

Magnetotelluric and Magnetovariational Response Functions
The Magnetotelluric Response Functions	p. 3
On the Deterministic Nature of the Impedadance Tensor	p. 3
Rotation of the Impedance Tensor	p. 13
Dimensionality of the Impedance Tensor	p. 16
The One-Dimensional Impedance Tensor	p. 17
The Two-Dimensional Impedance Tensor	p. 21
The Three-Dimensional Impedance Tensor	p. 24
The Superimposition Impedance Tensor	p. 25
Impedance Polar Diagrams	p. 31
Polar Diagrams of the Impedance Tensor	p. 31
Polar Diagrams of H- and E-Polarized Impedances	p. 33
Dispersion Relations in the Impedance Tensor	p. 37
On the Magnetotelluric Anomalies	p. 45
The Impedance Eigenstate Problem	p. 53
The Classical Formulation of the Tensor Eigenstate Problem	p. 53
Polarization of the Magnetotelluric Field	p. 55
Basic Approaches to the Impedance Eigenstate Problem	p. 61
The Swift-Sims-Bostick Method	p. 62
The Swift-Eggers Method	p. 64
The La Torraca-Madden-Korringa Method	p. 69
Final Remarks on the Impedance Eigenstate Problem	p. 77
Separation of the Local and Regional Magnetotelluric Effects	p. 83
Using the Local-Regional Decomposition	p. 83
The Bahr and Groom-Bailey Methods	p. 84
The Bahr Method	p. 84
The Groom-Bailey Method	p. 91
Final Remarks on the Bahr and Groom-Bailey Methods	p. 94
The Zhang-Roberts-Pedersen Method	p. 101
The Chave-Smith Method	p. 105
The Caldwell-Bibby-Brown Method	p. 109
The Phase Tensor	p. 109
Polar Diagrams of the Phase Tensor	p. 112
The Phase-Tensor Eigenstate Problem	p. 114
The Magnetovariational Response Functions	p. 119
The Wiese-Parkinson Matrix	p. 119
Rotation of the Wiese-Parkinson Matrix	p. 122
Dispersion Relations in the Wiese-Parkinson Matrix	p. 123
Vector Representation of the Wiese-Parkinson Matrix	p. 125
The Wiese-Parkinson Tipper Technique	p. 125
The Vozoff Tipper Technique	p. 128
Polar Diagrams of the Wiese-Parkinson Matrix	p. 134
Magnetic Tensors	p. 136
The Horizontal Magnetic Tensor	p. 136
The Schmucker Tensor	p. 142
Magnetovariational Response Functions in the Superimposition Model	p. 143
The Zhang-Pedersen-Mareschal-Chouteau Method	p. 146
The Ritter-Banks Method	p. 146
The Berdichevsky-Kuznetsov Method	p. 147
Magnetic Perturbation Ellipses	p. 152
The Recent Developments	p. 155
Advancement of the Plane-Wave Model	p. 155
Analysis of the Normal Magnetotelluric Field	p. 156
MT and MV Response Functions in the Absence of the Source Effect	p. 161
The Source Effect	p. 163
Final Remarks on the Generalized Impedance Tensor	p. 166
Synthesis of the Magnetotelluric Field	p. 166
Anomalous Magnetotelluric Field in the Air	p. 167
Synthesis of the Magnetic Field from the Impedance Tensors	p. 171
Synthesis of the Magnetic Field from the Tippers	p. 174
Synthesis of the Magnetic Field from the Generalized Impedance Tensors	p. 177
Model Experiments on the Synthesis of the Magnetic Field	p. 179
Basic Models of the Distortion Theory
Two Classic Models of the Distortion Theory	p. 185
The Vertical-Interface Model	p. 185
The Dike Model	p. 193
Models of the Near-Surface Distortions	p. 203
Distortions Caused by Small-Scale Near-Surface Inclusions	p. 203
The Two-Dimensional [rho]-Effect of the Semicylinder and Prism	p. 203
The Three-Dimensional [rho]-Effect of the Hemisphere	p. 207
Two-Dimensional Conductance Models	p. 210
The Tikhonov-Dmitriev Basic Model	p. 210
The Two-Segment Model	p. 225
The Three-Segment Model	p. 234
The Screening Effect	p. 248
Three-Dimensional Conductance Models	p. 254
The Dmitriev-Barashkov Basic Model	p. 254
The Singer-Fainberg Model	p. 256
The Berdichevsky-Dmitriev Model	p. 261
The Golubtsova Model	p. 270
Models of Structures in the Basement Topography	p. 272
The Horst Model	p. 272
The Graben Model	p. 277
Models of Deep Geoelectric Structures	p. 287
Models of Crustal Conductive Zones	p. 287
Magnetotelluric Anomaly Caused by Crustal Conductive Zone	p. 289
Magnetotelluric and Magnetovariational Response Functions in the Model of Crustal Conductive Zone	p. 290
Electromagnetic Excitation of Crustal Conductors	p. 296
On the Quasi-Two-Dimensionality of Crustal Conductors	p. 299
Are Deep Crustal Conductors Isotropic or Anisotropic?	p. 303
Models of Asthenosphere Conductive Zones	p. 306
The Dmitriev-Mershchikova Cosine-Relief Model	p. 306
Magnetotelluric Anomalies Caused by the Asthenosphere Uplift	p. 310
May Asthenospheric Structures be Excited Inductively?	p. 317
On the Quasi-Two-Dimensionality of Asthenospheric Structures	p. 318
Are Asthenospheric Structures Isotropic or Anisotropic?	p. 321
Models of Deep Faults	p. 327
Near-Surface Inhomogeneity in the Presence of Conductive Faults	p. 327
Deep Inhomogeneity in the Presence of Conductive Faults	p. 334
Current Channeling in Conductive Faults	p. 336
Interpretation of Magnetotelluric and Magnetovariational Data
Statement of Inverse Problem	p. 341
On Multi-Dimensional Inverse Problem	p. 342
Normal Background	p. 342
On Detailedness of the Multi-Dimensional Inversion	p. 345
On Redundancy of Observation Data	p. 346
Inverse Problem as a Sequence of Forward Problems	p. 346
Forward Problem in the Class of 1D-Models	p. 347
Forward Problem in the Class of 2D-Models	p. 347
Forward Problem in the Class of 3D-Models	p. 350
Three Questions of Hadamard	p. 351
On the Existence of Solution to the Inverse Problem	p. 352
On the Uniqueness of Solution to the Inverse Problem	p. 352
On the Instability of the Inverse Problem	p. 361
In the Light of the Theory of Ill-Posed Problems	p. 363
Conditionally Well-Posed Formulation of the Inverse Problem	p. 364
Optimization Method	p. 366
Regularization Method	p. 368
A Few Words About the Backus-Gilbert Method	p. 371
Probabilistic Statement of the Inverse Problem	p. 372
Comparison Criteria	p. 375
The Interpretation Model	p. 383
Analyzing the Static Distortions	p. 383
Recognising the Static Distortions	p. 384
Averaging Apparent Resistivities	p. 390
Filtering Apparent Resistivities	p. 395
Fitting Apparent Resistivities to Reference Level	p. 403
Modeling the Distortions	p. 409
Saving the Static Shift Troubles	p. 411
Stratifying the Geoelectric Background	p. 412
Identifying the Geoelectric Structures	p. 416
The Magnetovariational Test	p. 416
The Magnetotelluric Test	p. 417
Determining the Strike of the Regional Two-Dimensional Background	p. 421
Visualizing the Geoelectric Structures	p. 422
Plotting Tipper Vectors	p. 422
Constructing Impedance and Tipper Polar Diagrams	p. 423
Drawing the Profiles, Maps, Pseudo-Sections and Pseudo-Topographies of MT and MV Response Functions	p. 427
Mapping the Sediments Conductance	p. 441
The Singer-Fainberg Method	p. 442
The Obukhov Method	p. 446
Inversion Strategy	p. 453
The Smoothing and Contrasting Inversions	p. 453
The Hypotheses Test Mode	p. 456
Quasi-One-Dimensional MT Inversion	p. 456
Synthesizing the One-Dimensional Inversions	p. 456
Using the S-Method	p. 458
Correcting Quasi-One-Dimensional Inversion	p. 461
Two-Dimensional Bimodal MV-MT Inversion	p. 464
Sensitivity of the TM- and TE-Modes to the Target Structures	p. 465
Robustness of the TM- and TE-Modes to the 3D-Effects	p. 469
Susceptibility of the TM- and TE-Modes to Near-surface Galvanic Distortions	p. 476
Informational Complementarity of the TM- and TE-Modes	p. 479
Two Approaches to Multicriterion Inverse Problem	p. 481
Geoelectric Model of the Baikal Rift	p. 493
Two Concepts of the Baikal Rift Zone	p. 493
Synthesis of Apparen-Resitivity Curves	p. 496
Interpretation Model	p. 498
Bimodal Inversion in the Hypotheses Test Mode	p. 498
Test of the Mantle-Diapir Hypothesis	p. 499
Test of the Asthenosphere-Upwarp Hypothesis	p. 504
Final Remarks on the Geoelectric Model of the Baikal Rift Zone	p. 505
Geoelectric Model of the Cascadia Subduction Zone	p. 508
Brief Geological Description of the Cascadia Subduction Zone	p. 510
Geophysical Investigations in the Cascadia Subduction Zone	p. 511
MT and MV Soundings on the Ocean Coast	p. 514
On the Regional Near-surface Distortions	p. 520
Models EMSLAB-I and EMSLAB-II	p. 524
Analysis of Observations on the Lincoln Line	p. 526
A New Geolectric Model of Cascadia: EMSLAB-III	p. 530
From Two-Dimensional Inversion to Three-Dimensional Inversion	p. 541
Magnetotelluric Catechism	p. 545
References	p. 547
Index	p. 561
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Models and Methods of Magnetotellurics

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