Titlebook: Integral Transforms in Geophysics; Michael S. Zhdanov Book 1988 Springer-Verlag Berlin Heidelberg 1988 Fundament.Riemann surface.distribut

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Three-Dimensional Cauchy-Type Integral Analogstype integral. But two-dimensional (plane) fields can serve just as an approximate model of actual geophysical fields dependent on three space coordinates. In view of this, an extremely important problem of theoretical geophysics is how to extend the results of a two-dimensional theory to a three-di

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Analytical Continuation of the Electromagnetic Fielding analytical continuation of functions of a complex variable are outlined in Chap. 4, while those for an analytical vector field are treated in Sect. 7.1. We will apply these principles to the electromagnetic field. For the sake of simplicity, we will confine ourselves to a monochromatic field, al

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Kirchhoff-Type Integralsmic prospecting and they yield extremely significant information about the deep structure of the Earth which could not be gained using other geophysical methods. In view of this, the problem of extending the body of Cauchy-type integrals to wave fields is of critical value in theoretical geophysics.

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Continuation and Migration of Elastic Wave Fieldseismoholography (Hemon 1971; Timoshin 1972, 1978; Petrashen and Nakhamkin 1973; Vasiliev 1975; Clearbout 1976, 1985; Berkhout 1980, 1984). Behind these methods is the idea of time reversal of an elastic oscillation field and continuation of the reversed wave field toward sources. For instance, in di

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978-3-642-72630-9Springer-Verlag Berlin Heidelberg 1988