Geophysical Field Theory and Method, Part A, Volume 49: Gravitational, Electric, and Magnetic Fields

Geophysical Field Theory and Method, Part A, Volume 49: Gravitational, Electric, and Magnetic Fields
Academic Press | June 22, 1992 | ISBN-10: 0124020410 | 581 pages | PDF | 19 Mb

An essential book for all students and scientists in the field, Part A of Geophysical Field Theory and Method describes the physical and mathematical principles of geophysical methods, specifically the behavior of gravitational, electrical, and magnetic fields. The broader use of these methods underlines the far-reaching appeal of this book. Oil and mineral prospecting, solving groundwater and engineering problems, and well-logging are just some of the activities which involve geophysical methods. Parts B and C will be devoted to the theory of fields and applied to electromagnetic, seismic, nuclear, and geothermal methods.

CONTENT

Chapter I Fields and Their Generators (4.8 Mb)
I.1 Scalars and Vectors, Systems of Coordinates 1
I.2 The Solid Angle 12
I.3 Fields 22
I.4 Scalar Field and Gradient 23
I.5 Geometric Model of a Field 36
I.6 Flux, Divergence, Gauss' Theorem 40
I.7 Voltage, Circulation, Curl, Stokes' Theorem 52
I.8 Two Types of Fields and Their Generators: Field Equations 66
I.9 Harmonic Fields 81
I.10 Source Fields 100
I.11 Vortex Fields 123
References 136

Chapter II The Gravitational Field (2.1 Mb)
II.1 Newton's Law of Attraction and the Gravitational Field 139
II.2 Determination of the Gravitational Field 157
II.3 System of Equations of the Gravitational Field and Upward Continuation 178
References 199

Chapter III Electric Fields (6.7 Mb)
III.1 Coulomb's Law 200
III.2 System of Equations for the Time-Invariant Electric Field and Potential 213
III.3 The Electric Field in the Presence of Dielectrics 238
III.4 Electric Current, Conductivity, and Ohm's Law 251
III.5 Electric Charges in a Conducting Medium 265
III.6 Resistance 274
III.7 The Extraneous Field and Its Electromotive Force 286
III.8 The Work of Coulomb and Extraneous Forces, Joule's Law 299
III.9 Determination of the Electric Field in a Conducting Medium 304
III.l0 Behavior of the Electric Field in a Conducting Medium 326
References 396

Chapter IV Magnetic Fields (5.1 Mb)
IV.1 Interaction of Currents, Biot-Savart's Law, the Magnetic Field 398
IV.2 The Vector Potential of the Magnetic Field 405
IV.3 The System of Equations of the Magnetic Field B Caused by Conduction Currents 425
IV.4 Determination of the Magnetic Field B Caused by Conduction Currents 432
IV.5 Behavior of the Magnetic Field Caused by Conduction Currents 444
IV.6 Magnetization and Molecular Currents: The Field H and Its Relation to the Magnetic Field B 481
IV.7 Systems of Equations for the Magnetic Field B and the Field H 493
IV.8 Behavior of the Magnetic Field Caused by Currents in the Earth 511
References 565


Index (0.5 Mb)
International Geophysics Series 579

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