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

Publication subTitle ：Gravitational, Electric, and Magnetic Fields

Publication series ：Volume 49

Author： Kaufman   Alexander A.  

Publisher： Elsevier Science‎

Publication year： 1992

E-ISBN: 9780080959924

P-ISBN(Paperback): 9780124020412

P-ISBN(Hardback):  9780124020412

Subject： O412.3 field theory

Language： ENG

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Description

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

Chapter

Front Cover

Geophysical Field Theory and Method: Gravitational, Electric, and Magnetic Fields

Copyright Page

Contents

Preface

Acknowledgments

List of Symbols

Chapter I Fields and Their Generators

I.1 Scalars and Vectors, Systems of Coordinates

I.2 The Solid Angle

I.3 Fields

I.4 Scalar Field and Gradient

I.5 Geometric Model of a Field

I.6 Flux, Divergence, Gauss' Theorem

I.7 Voltage, Circulation, Curl, Stokes' Theorem

I.8 Two Types of Fields and Their Generators: Field Equations

I.9 Harmonic Fields

I.10 Source Fields

I.11 Vortex Fields

References

Chapter II The Gravitational Field

II.1 Newton's Law of Attraction and the Gravitational Field

II.2 Determination of the Gravitational Field

II.3 System of Equations of the Gravitational Field and Upward Continuation

References

Chapter III Electric Fields

III.1 Coulomb's Law

III.2 System of Equations for the Time-Invariant Electric Field and Potential

III.3 The Electric Field in the Presence of Dielectrics

III.4 Electric Current, Conductivity, and Ohm's Law

III.5 Electric Charges in a Conducting Medium

III.6 Resistance

III.7 The Extraneous Field and Its Electromotive Force

III.8 The Work of Coulomb and Extraneous Forces, Joule's Law

III.9 Determination of the Electric Field in a Conducting Medium

III.10 Behavior of the Electric Field in a Conducting Medium

References

Chapter IV Magnetic Fields

IV.1 Interaction of Currents, Biot–Savart's Law, the Magnetic Field

IV.2 The Vector Potential of the Magnetic Field

IV.3 The System of Equations of the Magnetic Field B Caused by Conduction Currents

IV.4 Determination of the Magnetic Field B Caused by Conduction Currents

IV.5 Behavior of the Magnetic Field Caused by Conduction Currents

IV.6 Magnetization and Molecular Currents: The Field H and Its Relation to the Magnetic Field B

IV.7 Systems of Equations for the Magnetic Field B and the Field H

IV.8 Behavior of the Magnetic Field Caused by Currents in the Earth

References

Index

International Geophysics Series

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