Integral Transforms in Geophysics
Published on 10. December 2011
Book
Paperback/Softback
XXIII, 367 pages
978-3-642-72630-9 (ISBN)
Description
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.
More details
Edition
Softcover reprint of the original 1st ed. 1988
Language
English
Place of publication
Berlin
Germany
Publishing group
Springer Berlin
Target group
Professional and scholarly
Research
Illustrations
XXIII, 367 p.
Dimensions
Height: 242 mm
Width: 170 mm
Thickness: 22 mm
Weight
669 gr
ISBN-13
978-3-642-72630-9 (9783642726309)
DOI
10.1007/978-3-642-72628-6
Schweitzer Classification
Other editions
Additional editions
Michael S. Zhdanov
Integral Transforms in Geophysics
E-Book
12/2012
Springer
€53.49
Available for download
Michael S. Zhdanov
Integral Transforms in Geophysics
Book
02/1988
Springer
€85.55
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Content
I 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.