Beitrag zur Interpretation von Schwerebildern mit Hilfe Höherer Ableitungen
Journal name: Geophysical Prospecting
Issue: Vol 1, No 4, December 1953 pp. 250 - 258
Info: Article, PDF ( 580.91Kb )
For the treatment of the problems involved in the interpretation of gravity pictures this paper gives a formula that holds generally for any potential function. It provides an extended applicability of the relation used by Elkins for the computation of the second derivative, and also yields an analogous relation to derivatives of higher order of the gravity field.
This relation has not been utilized to determine in details the course of the derivatives of higher order in a plane, but is merely applied to points of comparatively extreme curvature of the isogams where the differential values present a ratio favourable to the “noise level”. By this method the values of the derivatives of higher order will not be determined themselves but only the ratio's responsible for the depth of divergence in comparison with the course of an anomaly of masses replaced by points.
It is shown by examples of intercalated masses that the divergence points are important and by law related to the form and position of the density contrasts themselves.
An analysis of the total gravity picture is made possible by progressing from elements close to the surface to deeper ones. In this way the fundamental features of the earth's crust will be obtained. The application of the analysis process to a gravity anomaly actually measured in Northwest Germany is given.