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OverviewIntegral 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. Full Product DetailsAuthor: Michael S. Zhdanov , Tamara M. PyankovaPublisher: Springer-Verlag Berlin and Heidelberg GmbH & Co. KG Imprint: Springer-Verlag Berlin and Heidelberg GmbH & Co. K Edition: Softcover reprint of the original 1st ed. 1988 Dimensions: Width: 17.00cm , Height: 2.10cm , Length: 24.20cm Weight: 0.673kg ISBN: 9783642726309ISBN 10: 3642726305 Pages: 367 Publication Date: 10 December 2011 Audience: Professional and scholarly , Professional & Vocational Format: Paperback Publisher's Status: Active Availability: Manufactured on demand  We will order this item for you from a manufactured on demand supplier. Table of ContentsI Cauchy-Type Integrals in the Theory of a Plane Geopotential Field.- 1 Cauchy-Type Integral.- 2 Representation of Plane Geopotential Fields in the Form of the Cauchy-Type Integral.- 3 Techniques for Separation of Plane Fields.- 4 Analytical Continuation of a Plane Field.- II Cauchy-Type Integral Analogs in the Theory of a Three-Dimensional Geopotential Field.- 5 Three-Dimensional Cauchy-Type Integral Analogs.- 6 Application of Cauchy Integral Analogs to the Theory of a Three-Dimensional Geopotential Field.- 7 Analytical Continuation of a Three-Dimensional Geopotential Field.- III Stratton-Chu Type Integrals in the Theory of Electromagnetic Fields.- 8 Stratton-Chu Type Integrals.- 9 Analytical Continuation of the Electromagnetic Field.- 10 Migration of the Electromagnetic Field.- IV Kirchhoff-Type Integrals in the Elastic Wave Theory.- 11 Kirchhoff-Type Integrals.- 12 Continuation and Migration of Elastic Wave Fields.- Appendix A Space Analogs of the Cauchy-Type Integrals and the Quaternion Theory.- A.1 Quaternions and Operations Thereon.- A.2 Monogenic Functions.- A.3 Quaternion Notation of Space Analogs of the Cauchy-Type Integral.- Appendix B Green Electromagnetic Functions for Inhomogeneous Media and Their Properties.- B.1 Field Equations.- B.2 Lorentz Lemma for an Inhomogeneous Medium.- B.3 Reciprocal Relations.- B.4 Integral Representations of the Electric and Magnetic Fields.- B.5 Some Formulas and Rules of Operations on Dyadic Tensor Functions.- B.6 Tensor Statements of the Ostrogradsky-Gauss Theorem.- References.ReviewsAuthor InformationTab Content 6Author Website:Countries AvailableAll regions |
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