Potential theory in applied geophysics
β Kalyan Kumar Roy
π Library
π
2008
π Springer
π English
β¦ LIBER β¦
π
Potential Theory in Applied Geophysics
β Scribed by Kalyan Kumar Roy (auth.)
- Publisher
- Springer-Verlag Berlin Heidelberg
- Year
- 2008
- Tongue
- English
- Leaves
- 660
- Edition
- 1
- Category
- Library
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No coin nor oath required. For personal study only.
β¦ Synopsis
"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.
β¦ Table of Contents
Front Matter....Pages I-XXIII
Elements of Vector Analysis....Pages 1-16
Introductory Remarks....Pages 17-42
Gravitational Potential and Field....Pages 43-73
Electrostatics....Pages 75-89
Magnetostatics....Pages 91-125
Direct Current Flow Field....Pages 127-150
Solution of Laplace Equation....Pages 151-205
Direct Current Field Related Potential Problems....Pages 207-262
Complex Variables and Conformal Transformation in Potential Theory....Pages 263-305
Greenβs Theorem in Potential Theory....Pages 307-327
Electrical Images in Potential Theory....Pages 329-347
Electromagnetic Theory (Vector Potentials)....Pages 349-379
Electromagnetic Wave Propagation Problems Related to Geophysics....Pages 381-443
Greenβs Function....Pages 445-469
Numerical Methods in Potential Theory....Pages 471-534
Analytical Continuation of Potential Field....Pages 535-560
Inversion of Potential Field Data....Pages 561-624
Back Matter....Pages 625-651
β¦ Subjects
Geophysics/Geodesy;Mathematical and Computational Physics;Potential Theory;Math. Applications in Geosciences;Applications of Mathematics
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