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pure and applied geophysics

, Volume 66, Issue 1, pp 5–15 | Cite as

Untersuchungen über fiktiveg zz -Anomalien und über die Möglichkeit derer Beseitigung

  • Franz Steiner
Article

Summary

After showing the possible definitions of the fictioious anomalies of local gravitational maps derived from Bouguer-maps, in the first part is discussed that
$$\frac{{\smallint G dF}}{{\smallint |G |dF}} = 0$$
is the better fulfilled, the greater the map is in comparison with the horizontal dimensions of the anomalies (it is to integrate for the whole map;G is the derived quantity, e.g. residual org zz , obtained with method which are applying linear combinations of mean values on circles). It means that ficitious anomalies appear necessarily by such residual methods in general.—Because of the dependency of theG-values ons (radius of the smallest circle) applying such methods, in the second part is proposed the deduction ofs-independent formula for computing ofG, to diminish the disturbing effect of the fictitious anomalies. It is shown that the expression
$$8.9\mathop \smallint \limits_0^\infty Res(s)/s^3 ds$$
gives satisfactoryg zz -approximations by pointmass [Res(s) is the residual-value as a function ofs obtained by the surface interpolation formula, [3] (7), usingd 1 2 =d2=2].

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Literaturverzeichnis

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    T. A. Elkins,The second derivative method of gravity interpretation, Geophysics16 (1951).Google Scholar
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    Z. J. Fajklewicz,Fictitious anomalies of higher vertical derivatives of gravity, Geophysics30 (1965).Google Scholar
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    F. Steiner,Über einige Methoden der sekundaren gravimetrischen Auswertung, Geofis. Pura e Appl.56 (1963).Google Scholar
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    F. Steiner,A felületi interpoláció módszerének összehasonlitása a gravitációs másodlagos anomaliák meghatározásának néhány ismert eljárásával (Vergleich der Oberflächeninterpolationsmethode mit einigen bekannten Methoden für die Bestimmung der abgeleiteten gravitationellen Anomalien), Magyar Geofizika5 (1964).Google Scholar
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    F. Steiner,Bouguer-térképek elemzése (Analyse von Bouguer-Karten), Dissertation, Manuskript, Miskolc (1965).Google Scholar

Copyright information

© Birkh#x00E4;user Verlag 1967

Authors and Affiliations

  • Franz Steiner
    • 1
  1. 1.Institut für Geophysik der Technischen Universität für die SchwerindustrieMiskolcUngarn

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