Potential Theory in Applied Geophysics

2008
ISBN: 978-3-540-72089-8
Verlag: Springer

Buch, Englisch, 651 Seiten, Format (B × H): 155 mm x 235 mm, Gewicht: 2460 g

This book 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. Discussion includes behaviours of the scalar and vector potential and the nature of the solutions of these boundary value problems, along with the use of complex variables and conformal transformation, Green's theorem, Green's formula and Green's functions.

Zielgruppe

Research

Autoren/Hrsg.

Roy, Kalyan Kumar

Fachgebiete

• Geowissenschaften Geologie GIS, Geoinformatik
• Geowissenschaften Geologie Geophysik
• Geowissenschaften Geologie Geodäsie, Kartographie, Fernerkundung
• Mathematik | Informatik Mathematik Numerik und Wissenschaftliches Rechnen Angewandte Mathematik, Mathematische Modelle
• Naturwissenschaften Physik Physik Allgemein Theoretische Physik, Mathematische Physik, Computerphysik
• Naturwissenschaften Physik Angewandte Physik Geophysik
• Mathematik | Informatik Mathematik Mathematische Analysis Vektoranalysis, Physikalische Felder
• Geowissenschaften Geographie | Raumplanung Geodäsie, Kartographie, GIS, Fernerkundung

Inhaltsverzeichnis

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.