Edition |
2nd ed. |
Description |
1 online resource (806 pages) |
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text txt rdacontent |
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computer c rdamedia |
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online resource cr rdacarrier |
Series |
Methods in Geochemistry and Geophysics ; v. Volume 43 |
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Methods in geochemistry and geophysics.
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Note |
Print version record. |
Contents |
Front Cover -- Foundations of Geophysical Electromagnetic Theory and Methods -- Copyright -- Contents -- Preface to the Second Edition -- Preface -- Introduction -- References and Recommended Reading to Introduction -- Part 1 Introduction to Field Theory -- 1 Differential Calculus of Vector Fields and Differential Forms -- 1.1 The Basic Differential Relationships of Field Theory -- 1.1.1 Concept of the Physical Field -- 1.1.2 Dot (Scalar) and Cross (Vector) Products of Vectors -- 1.1.3 Vector Differential Operators -- Gradient of a scalar eld |
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Divergence and curl (rotation) of the vector eld The del operator â#x88;#x87; -- Second derivatives of the scalar and vector elds -- 1.1.4 Differentiation of the Products of Scalar and Vector Fields -- 1.2 The Basic Integral Relationships of Field Theory -- 1.2.1 Concept of Work and Flux of a Field -- 1.2.2 Gauss's Theorem and Its Vector Formulations -- 1st vector form of Gauss's theorem -- 2nd vector form of Gauss's theorem -- 3rd vector form of Gauss's theorem -- 1.2.3 Stokes's Theorem and Its Vector Formulations -- 1st vector form of Stokes's theorem |
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2nd vector form of Stokes's theorem1.2.4 Green's Formulas -- 1st Green's formula -- 2nd Green's formula -- 3rd Green's formula -- 1.3 Differential Forms in Field Theory -- 1.3.1 Concept of the Differential Form -- 1.3.2 Exterior (Wedge) Product of the Linear Forms -- 1.3.3 Canonical Representations of the Differential Forms in Three-Dimensional Euclidean Space -- 1.3.4 The Exterior Derivative -- 0-forms -- 1-forms -- 2-forms -- 3-forms -- References and Recommended Reading to Chapter 1 -- 2 Foundations of Field Theory -- 2.1 Field Generation |
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2.1.1 Harmonic Functions Liouville's Theorem -- 2.1.2 Uniqueness of Determination of the Scalar Field by Its Gradient and the Vector Field by Its Divergence and Curl -- Determination of the scalar eld by its gradient -- Determination of the vector eld by its divergence and curl -- 2.1.3 Field Generation Conditions -- 2.1.4 Sources of the Field and Their Physical Meaning -- 2.1.5 Vortices of the Field and Their Physical Meaning -- 2.1.6 Source Field and Vortex Field -- 2.2 Stationary Field Equations and Methods of Their Solutions |
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2.2.1 Poisson's Equations for Scalar and Vector Fields Scalar eld equations -- Vector eld equations -- 2.2.2 Point Source; Dirac Singular Function -- 2.2.3 Fundamental Green's Function for the Laplace Equation -- Solution of the scalar eld equations -- Solution of the vector eld equations -- 2.3 Scalar and Vector Potentials of the Stationary Field -- 2.3.1 Scalar Potential of the Source Field -- 2.3.2 Vector Potential of the Vortex Field -- 2.3.3 Helmholtz Theorem and Classi cation of the Vector Fields -- 2.4 Nonstationary Fields and Differential Forms |
Note |
""2.4.1 Nonstationary Vector Fields and Differential Forms in Four-Dimensional Space E4"" |
Bibliography |
Includes bibliographical references (pages 745-762) and index. |
Summary |
Annotation This second edition builds on the strength of the first edition to offer a systematic exposition of geophysical electromagnetic theory and methods. The new edition highlights progress made over the last decade, with a special focus on recent advances in marine and airborne electromagnetic methods. Also included are recent case histories on practical applications in tectonic studies, mineral exploration, environmental studies and off-shore hydrocarbon exploration. |
Subject |
Magnetic prospecting.
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Electromagnetic measurements.
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Prospection magnétique.
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Mesures électromagnétiques.
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magnetic surveying.
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SCIENCE -- Earth Sciences -- General.
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SCIENCE -- Physics -- Geophysics.
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Electromagnetic measurements
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Magnetic prospecting
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Other Form: |
Print version: Zhdanov, Michael S. Foundations of Geophysical Electromagnetic Theory and Methods. Saint Louis : Elsevier Science, ©2017 9780444638908 |
ISBN |
9780444638915 |
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0444638911 |
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0444638903 |
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9780444638908 |
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9780444638908 |
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0444638903 |
Standard No. |
9780444638908 |
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AU@ 000061153923 |
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GBVCP 1002873002 |
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UKMGB 018462754 |
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AU@ 000062880718 |
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AU@ 000072987259 |
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