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Methods in Computational Physics, Volume 13: Geophysics is a 10-chapter text that focuses with the theoretical solid-earth geophysics. This volume specifically covers the general topics of terrestrial magnetism and electricity, the Earth's gravity field, tidal deformations, dynamics of global spin, spin processing, and convective models for the deep interior. This volume surveys first the construction of mathematical models, such as the representation of the geomagnetic field by assuming arrangements of multipole sources in the core and the fast computer evaluation of two- and three-dimensional gravity models, which revolutionized their use in mineral prospecting and in studies of the crust. These topics are followed by a presentation of geophysical modeling and the uncertainties involved in quantitative convection studies of mantle flow. Other chapters explore the construction of numerical geophysical models related intimately to the inverse problem whereby maximum likelihood estimates of the required parameters must be determined along with calculation of confidence limits, including density, conductivity, and viscosity. The remaining chapters are devoted to the importance of harmonic analysis in geophysics, particularly spherical harmonic analysis, which has seen many refinements and applications. Physicists, geoscientists, and mathematicians will find this book invaluable.
Language
Place of publication
Publishing group
Elsevier Science & Techn.
ISBN-13
978-0-323-14836-8 (9780323148368)
Schweitzer Classification
Contributors PrefaceErrata Signal Processing and Frequency-Wavenumber Spectrum Analysis for a Large Aperture Seismic Array I. Introduction II. Optimum Detector for Seismic Arrays III. Signal Estimation Procedures IV. Frequency-Wavenumber Power Spectrum V. Estimation of Frequency-Wavenumber Power Spectrum VI. Signal-to-Noise Ratio Improvement Results at LASA VII. Characteristics of Background Microseismic Noise VIII. Analysis of Rayleigh-Wave Multipath Propagation at LASA IX. Detection of Interfering Rayleigh Waves at LASA X. Conclusions References Models of the Sources of the Earth's Magnetic Field I. Introduction II. The Spherical Harmonic Analysis III. The Radial Dipole Model IV. The Magnetohydrodynamic Models V. Modeling Archival Data ReferencesComputations with Spherical Harmonics and Fourier Series in Geomagnetism I. Introduction II. Recurrence Relations for Spherical Harmonics III. Analysis of Cartesian Components of the Geomagnetic Field IV. Eccentric Geomagnetic Dipoles V. Wigner 3-j Coefficients VI. Transformation of Spherical Harmonics under Rotation VII. Applications of Wigner 3-j Coefficients VIII. Fourier Analysis of Geomagnetic Hourly Mean Values IX. Numerical Procedure References Inverse Methods in the Interpretation of Magnetic and Gravity Anomalies I. Formulation of Problem II. The Linear Inverse Method III. Nonlinear Inverse Methods References Analysis of Geoelectromagnetic Data I. Introduction II. The Forward Problem III. The Inverse Problem References Nonlinear Spherical Harmonic Analysis of Paleomagnetic Data I. Introduction II. Technique of Analysis III. Synthetic Paleomagnetic Fields IV. The Quaternary Field References Harmonic Analysis Of Earth Tides I. Special Aspects of the Earth Tides Problem II. Tidal Analysis III. Some Recent Results of Earth Tide Analysis References Computer Usage in the Computation of Gravity Anomalies I. Introduction II. Notation, Coordinate System and Gravitational Effect of Simple Bodies III. Gravitational Effect of Two-Dimensional Bodies of Arbitrary Shape IV. Gravitational Effect of Three-Dimensional Bodies of Arbitrary Shape V. Terrain Correction on a Flat Earth VI. Computational Problems on a Spherical Earth References Analysis of Irregularities in the Earth's Rotation I. Introduction II. Theory and Measurements III. Irregularities in the Rotation of the Earth as Time Series IV. Examples of the Analysis of Measurements V. Discussion References Convection in the Earth's Mantle I. Introduction II. Surface Displacements III. Properties of the Mantle IV. Applicable Equations V. Numerical Method VI. Results VII. Summary References Author Index Subject Index Contents of Previous Volumes