Geophysical Field Theory and Method, Part A (eBook)

Gravitational, Electric, and Magnetic Fields

eBook Download: PDF

1992 | 1. Auflage
581 Seiten
Elsevier Science (Verlag)
978-0-08-095992-4 (ISBN)

Infos

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.

Presents physical principles of geophysical methods
Covers physical laws which govern field behavior and their areas of application
Examines the influence of a medium on a field, and the distribution of field generators
Presents formulation of conditions when physical laws cannot be used directly for field calculations
Examines systems of field equations and their neccesity when some of the field generators are unknown
Explains the formulation of boundary value problems and their importance in determining the field
Features auxiliary fields and their role in field theory
Presents approximate methods of field calculation

Inhalt

Front Cover 1
Geophysical Field Theory and Method: Gravitational, Electric, and Magnetic Fields 4
Copyright Page 5
Contents 8
Preface 10
Acknowledgments 12
List of Symbols 14
Chapter I Fields and Their Generators 18
I.1 Scalars and Vectors, Systems of Coordinates 18
I.2 The Solid Angle 29
I.3 Fields 39
I.4 Scalar Field and Gradient 40
I.5 Geometric Model of a Field 53
I.6 Flux, Divergence, Gauss' Theorem 57
I.7 Voltage, Circulation, Curl, Stokes' Theorem 69
I.8 Two Types of Fields and Their Generators: Field Equations 83
I.9 Harmonic Fields 98
I.10 Source Fields 117
I.11 Vortex Fields 140
References 153
Chapter II The Gravitational Field 154
II.1 Newton's Law of Attraction and the Gravitational Field 154
II.2 Determination of the Gravitational Field 174
II.3 System of Equations of the Gravitational Field and Upward Continuation 195
References 216
Chapter III Electric Fields 217
III.1 Coulomb's Law 217
III.2 System of Equations for the Time-Invariant Electric Field and Potential 230
III.3 The Electric Field in the Presence of Dielectrics 255
III.4 Electric Current, Conductivity, and Ohm's Law 268
III.5 Electric Charges in a Conducting Medium 282
III.6 Resistance 291
III.7 The Extraneous Field and Its Electromotive Force 303
III.8 The Work of Coulomb and Extraneous Forces, Joule's Law 316
III.9 Determination of the Electric Field in a Conducting Medium 321
III.10 Behavior of the Electric Field in a Conducting Medium 343
References 413
Chapter IV Magnetic Fields 414
IV.1 Interaction of Currents, Biot–Savart's Law, the Magnetic Field 415
IV.2 The Vector Potential of the Magnetic Field 422
IV.3 The System of Equations of the Magnetic Field B Caused by Conduction Currents 442
IV.4 Determination of the Magnetic Field B Caused by Conduction Currents 449
IV.5 Behavior of the Magnetic Field Caused by Conduction Currents 461
IV.6 Magnetization and Molecular Currents: The Field H and Its Relation to the Magnetic Field B 498
IV.7 Systems of Equations for the Magnetic Field B and the Field H 510
IV.8 Behavior of the Magnetic Field Caused by Currents in the Earth 528
References 582
Index 584
International Geophysics Series 596

Produkt-Details

• Erscheint lt. Verlag: 20.7.1992
• Mitarbeit: Herausgeber (Serie): Alexander A. Kaufman
• Sprache: englisch
• Themenwelt: Naturwissenschaften ► Geowissenschaften ► Geologie
• Themenwelt: Naturwissenschaften ► Geowissenschaften ► Geophysik
• Themenwelt: Naturwissenschaften ► Physik / Astronomie
• Themenwelt: Technik
• Themenwelt: Wirtschaft ► Betriebswirtschaft / Management ► Unternehmensführung / Management
• Themenwelt: Wirtschaft ► Volkswirtschaftslehre ► Mikroökonomie
• ISBN-10: 0-08-095992-X / 008095992X
• ISBN-13: 978-0-08-095992-4 / 9780080959924