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Integral Transforms in Geophysics
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Integral Transforms in Geophysics - Taschenbuch

2011, ISBN: 9783642726309

[ED: Taschenbuch / Paperback], [PU: Springer, Berlin], KURZE BESCHREIBUNG/ANMERKUNGEN: Title of the original Russian edition:"Analogi integrala tipa, Koshi v teorii geofizicheskikh, Polei",Nauka, 1984 AUSFÜHRLICHERE BESCHREIBUNG: Integral Transforms of Geophysical Fields serve as one of the major tools for processing and interpreting geophysical data. In this book the authors present a unified treatment of this theory, ranging from the techniques of the transfor- mation of 2-D and 3-D potential fields to the theory of se- paration and migration of electromagnetic and seismic fields. Of interest primarily to scientists and post-gradu- ate students engaged in gravimetrics, but also useful to geophysicists and researchers in mathematical physics. INHALT: I Cauchy-Type Integrals in the Theory of a Plane Geopotential Field.- 1 Cauchy-Type Integral.- 1.1 Definition.- 1.1.1 Cauchy Integral Formula.- 1.1.2 Concept of the Cauchy-Type Integral.- 1.1.3 Piecewise Analytical Functions.- 1.2 Main Properties.- 1.2.1 Hölder Condition.- 1.2.2 Calculation of Singular Integrals in Terms of the Cauchy Principal Value.- 1.2.3 Sokhotsky-Plemelj Formulas.- 1.2.4 Generalization of the Sokhotsky-Plemelj Formulas for Piecewise Smooth Curves.- 1.2.5 Cauchy-Tpye Integrals Along the Real Axis.- 1.3 Cauchy and Hubert Integral Transforms.- 1.3.1 Integral Boundary Conditions for Analytical Functions.- 1.3.2 Determination of a Piecewise Analytical Function from a Specified Discontinuity.- 1.3.3 Inversion Formulas for the Cauchy-Type Integral (Cauchy Integral Transforms).- 1.3.4 Hilbert Transforms.- 2 Representation of Plane Geopotential Fields in the Form of the Cauchy-Type Integral.- 2.1 Plane Potential Fields and Their Governing Equations.- 2.1.1 Vector Field Equations.- 2.1.2 Concept of a Plane Field.- 2.1.3 Plane Field Equations.- 2.1.4 Plane Field Flow Function.- 2.2 Logarithmic Potentials and the Cauchy-Type Integral.- 2.2.1 Logarithmic Potentials.- 2.2.2 Logarithmic Potentials in Complex Coordinates.- 2.2.3 Cauchy-Type Integral as a Sum of the Logarithmic Potentials of Simple and Double Layers.- 2.3 Complex Intensity and Potential of a Plane Field.- 2.3.1 Concept of Complex Intensity of a Plane Field.- 2.3.2 Complex Intensity Equations.- 2.3.3 Representation of Complex Intensity in Terms of Field Source Density.- 2.3.4 Complex Potential.- 2.4 Direct Solution of the Equation for Complex Field Intensity.- 2.4.1 Two-Dimensional Ostrogradsky-Gauss Formula in Complex Notation.- 2.4.2 Pompei Formulas.- 2.4.3 Solution to the Equation for Complex Intensity.- 2.5 Representation of the Gravitational Field in Terms of the Cauchy-Type Integral.- 2.5.1 Complex Intensity of the Gravitational Field.- 2.5.2 Representation of the Gravitational Field of a Homogeneous Domain in Terms of the Cauchy-Type Integral.- 2.5.3 Representation of the Gravitational Field of a Domain with an Analytical Mass Distribution in Terms of the Cauchy-Type Integral.- 2.5.4 Case of Vertical or Horizontal Variations in the Density.- 2.5.5 Case of Linear Density Variations Along the Coordinate Axis.- 2.5.6 General Case of Continuous Density Distribution.- 2.5.7 Calculation of the Gravitational Field of an Infinitely Extended Domain.- 2.6 Representation of a Fixed Magnetic Field in Terms of the Cauchy-Type Integral.- 2.6.1 Complex Potential of a Polarized Source.- 2.6.2 Complex Intensities and Potential of a Magnetic Field.- 2.6.3 Representation of the Magnetic Potential of a Homogeneous Domain in Terms of the Cauchy-Type Integrals.- 2.6.4 General Case of Magnetization Distribution.- 2.6.5 Analytical Distribution of Magnetization.- 3 Techniques for Separation of Plane Fields.- 3.1 Separation of Geopotential Fields into External and Internal Parts Using Spectral Decomposition.- 3.1.1 Statement of the Problem of Plane Field Separation.- 3.1.2 Spectral Representations of Plane Fields.- 3.1.3 Determination of the External and Internal Parts of the Scalar Potential and Field (Gauss-Schmiedt Formulas).- 3.2 Kertz-Siebert Technique.- 3.2.1 Problem of Separation of Field Complex Intensity.- 3.2.2 Field Separation at Ordinary Points of the Line L.- 3.2.3 Field Separation at Corners of the Line L.- 3.2.4 Kertz-Siebert Formulas.- 3.2.5 Equivalence Between the Kertz-Siebert and the Gauss-Schmiedt Formulas.- 4 Analytical Continuation of a Plane Field.- 4.1 Fundamentals of Analytical Continuation.- 4.1.1 Taylor Theorem.- 4.1.2 Uniqueness of an Analytical Function.- 4.1.3 Concept of Analytical Continuation.- 4.1.4 Concept of the Riemann Surface.- 4.1.5 Weierstrass Continuation of an Analytical Function.- 4.1.6 Singular Points of an Analytical Function.- 4.1.7 Penleve Continuation of an Analytical Function (Principle of Continuity).- 4.1.8 Conformai Mapp, Neuware, gewerbliches Angebot, H: 242mm, B: 170mm

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Integral Transforms In Geophysics
Vergriffenes Buch, derzeit bei uns nicht verfügbar.
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Integral Transforms In Geophysics - neues Buch

ISBN: 9783642726309

ID: 18129810

Integral Transforms of Geophysical Fields serve as one of the major tools for processing and interpreting geophysical data. In this book the authors present a unified treatment of this theory, ranging from the techniques of the transfor- mation of 2-D and 3-D potential fields to the theory of se- paration and migration of electromagnetic and seismic fields. Of interest primarily to scientists Integral Transforms of Geophysical Fields serve as one of the major tools for processing and interpreting geophysical data. In this book the authors present a unified treatment of this theory, ranging from the techniques of the transfor- mation of 2-D and 3-D potential fields to the theory of se- paration and migration of electromagnetic and seismic fields. Of interest primarily to scientists and post-gradu- ate students engaged in gravimetrics, but also useful to geophysicists and researchers in mathematical physics. Books, Science and Geography~~Earth Sciences~~Geology & The Lithosphere, Integral Transforms In Geophysics~~Book~~9783642726309~~Michael S. Zhdanov, , , , , , , , , ,, [PU: Springer, Berlin/Heidelberg/New York, NY]

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Integral Transforms in Geophysics - Zhdanov, Michael S.
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Zhdanov, Michael S.:
Integral Transforms in Geophysics - Taschenbuch

2011

ISBN: 9783642726309

[ED: Softcover], [PU: Springer, Berlin], Integral Transforms of Geophysical Fields serve as one of the major tools for processing and interpreting geophysical data. In this book the authors present a unified treatment of this theory, ranging from the techniques of the transfor- mation of 2-D and 3-D potential fields to the theory of se- paration and migration of electromagnetic and seismic fields. Of interest primarily to scientists and post-gradu- ate students engaged in gravimetrics, but also useful to geophysicists and researchers in mathematical physics. Softcover reprint of the original 1st ed. 1988. 2011. xxiii, 367 S. XXIII, 367 pp. 71 figs. 242 mm Versandfertig in 3-5 Tagen, [SC: 0.00], Neuware, gewerbliches Angebot

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Integral Transforms in Geophysics - Michael S. Zhdanov
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Michael S. Zhdanov:
Integral Transforms in Geophysics - neues Buch

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ID: 163382144

Integral Transforms of Geophysical Fields serve as one of the major tools for processing and interpreting geophysical data. In this book the authors present a unified treatment of this theory, ranging from the techniques of the transfor- mation of 2-D and 3-D potential fields to the theory of se- paration and migration of electromagnetic and seismic fields. Of interest primarily to scientists and post-gradu- ate students engaged in gravimetrics, but also useful to geophysicists and researchers in mathematical physics. Title of the original Russian edition:´´Analogi integrala tipa, Koshi v teorii geofizicheskikh, Polei´´,Nauka, 1984 Buch (fremdspr.) Bücher>Fremdsprachige Bücher>Englische Bücher, Springer

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Integral Transforms in Geophysics - Michael S. Zhdanov
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Michael S. Zhdanov:
Integral Transforms in Geophysics - Taschenbuch

2011, ISBN: 9783642726309

ID: 27911249

Softcover reprint of the original 1st ed. 1988, Softcover, Buch, [PU: Springer Berlin]

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