Open AccessContinuation of Three‐dimensional Potential Fields Measured on an Uneven Surface†
Author(s) -
Ducruix J.,
Mouel J. L. Le,
Courtillot V.
Publication year - 1974
Publication title -
geophysical journal of the royal astronomical society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.302
H-Index - 168
eISSN - 1365-246X
pISSN - 0016-8009
DOI - 10.1111/j.1365-246x.1974.tb04122.x
Subject(s) - continuation , potential field , inversion (geology) , geophysics , geology , surface (topology) , inverse theory , geodesy , simple (philosophy) , field (mathematics) , mathematical analysis , mathematics , geometry , seismology , computer science , philosophy , oceanography , deformation (meteorology) , epistemology , pure mathematics , tectonics , programming language
Summary This paper describes a method for the continuation of three‐dimensional potential fields measured on an uneven surface; this method is based on a technique proposed earlier by the authors: first we represent potential functions as a sum of elementary interpolating functions; then an inversion technique gives the continued field as a very simple linear combination of the observed values. The method is of interest in several geophysical problems: for example, aeromagnetic surveys made at different altitudes can be joined with no edge effect. This case and others, both theoretical and real, are presented in the paper.