Buch, Englisch, 651 Seiten, Previously published in hardcover, Format (B × H): 155 mm x 235 mm, Gewicht: 1007 g
Buch, Englisch, 651 Seiten, Previously published in hardcover, Format (B × H): 155 mm x 235 mm, Gewicht: 1007 g
ISBN: 978-3-642-09125-4
Verlag: Springer
"Potential Theory in Applied Geophysics" introduces the principles of gravitational, magnetic, electrostatic, direct current electrical and electromagnetic fields, with detailed solutions of Laplace and electromagnetic wave equations by the method of separation of variables. Behaviour of the scalar and vector potential and the nature of the solutions of these boundary value problems are shown along with the use of complex variables and conformal transformation, Green's theorem, Green's functions and its use in integral equation. Finite element and finite difference methods for two-dimensional potential problems are discussed in considerable detail. The analytical continuation of the potential field and inverse theory, used for the interpretation of potential field data, are also demonstrated.
Zielgruppe
Research
Autoren/Hrsg.
Fachgebiete
- Geowissenschaften Geologie Geodäsie, Kartographie, Fernerkundung
- Mathematik | Informatik Mathematik Numerik und Wissenschaftliches Rechnen Angewandte Mathematik, Mathematische Modelle
- Geowissenschaften Geographie | Raumplanung Geodäsie, Kartographie, GIS, Fernerkundung
- Naturwissenschaften Physik Physik Allgemein Theoretische Physik, Mathematische Physik, Computerphysik
- Geowissenschaften Geologie Geophysik
- Mathematik | Informatik Mathematik Mathematische Analysis Vektoranalysis, Physikalische Felder
- Geowissenschaften Geologie GIS, Geoinformatik
- Naturwissenschaften Physik Angewandte Physik Geophysik
Weitere Infos & Material
Elements of Vector Analysis.- Introductory Remarks.- Gravitational Potential and Field.- Electrostatics.- Magnetostatics.- Direct Current Flow Field.- Solution of Laplace Equation.- Direct Current Field Related Potential Problems.- Complex Variables and Conformal Transformation in Potential Theory.- Green’s Theorem in Potential Theory.- Electrical Images in Potential Theory.- Electromagnetic Theory (Vector Potentials).- Electromagnetic Wave Propagation Problems Related to Geophysics.- Green’s Function.- Numerical Methods in Potential Theory.- Analytical Continuation of Potential Field.- Inversion of Potential Field Data.
