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This book bridges the gap between the classic texts on potential theory and modern books on applied geophysics. It begins with Newton's second law of motion and concludes with topics on state-of-the-art interpretations of gravity and magnetic data. The introductory chapters discuss potential theory with emphasis on those aspects particularly important to earth scientists, such as Laplace's equation, Newtonian potential, magnetostatic and electrostatic fields, conduction of heat, and spherical harmonic analysis. Difficult concepts are illustrated with easily visualized examples from steady-state heat flow. Later chapters apply these theoretical concepts specifically to the interpretation of gravity and magnetic anomalies, with emphasis on anomalies caused by crustal and othospheric sources. Many of these examples are drawn from the modern geophysical literature. Topics explored include regional and global fields, forward modeling, inverse methods, depth-to-course estimation, ideal bodies, analytical continuation, and spectral analysis.
Geophysics --- Potential theory (Mathematics). --- Geografie --- Technique. --- Fysische geografie --- Zonnestelsel --- Astronomie.
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This text bridges the gap between the classic texts on potential theory and modern books on applied geophysics. It opens with an introduction to potential theory, emphasising those aspects particularly important to earth scientists, such as Laplace's equation, Newtonian potential, magnetic and electrostatic fields, and conduction of heat. The theory is then applied to the interpretation of gravity and magnetic anomalies, drawing on examples from modern geophysical literature. Topics explored include regional and global fields, forward modeling, inverse methods, depth-to-source estimation, ideal bodies, analytical continuation, and spectral analysis. The book includes numerous exercises and a variety of computer subroutines written in FORTRAN. Graduate students and researchers in geophysics will find this book essential.
Geophysics --- Potential theory (Mathematics) --- Green's operators --- Green's theorem --- Potential functions (Mathematics) --- Potential, Theory of --- Mathematical analysis --- Mechanics --- Geological physics --- Terrestrial physics --- Earth sciences --- Physics --- Technique. --- 550.3 --- 550.3 Geophysics
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