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SOME REMARKS ON THE ERRORS IN THE CALCULATION OF THE VERTICAL GRADIENT OF GRAVITY *
Author(s) -
BARANOV V.,
TASSENCOURT J.
Publication year - 1954
Publication title -
geophysical prospecting
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.735
H-Index - 79
eISSN - 1365-2478
pISSN - 0016-8025
DOI - 10.1111/j.1365-2478.1954.tb01294.x
Subject(s) - bouguer anomaly , computation , derivative (finance) , free air gravity anomaly , geodesy , second derivative , gravity anomaly , gravitational field , geology , error analysis , gemology , directional derivative , field (mathematics) , minor (academic) , geophysics , mathematical analysis , mathematics , algorithm , engineering geology , physics , seismology , classical mechanics , economics , law , political science , oil field , financial economics , tectonics , paleontology , volcanism , pure mathematics
A bstract In a previous paper by the first author a method has been presented for computing the first vertical derivative of the gravity field or of the magnetic field. In the present paper an analysis is given of the errors in the first vertical derivative that result when the latter is computed by the above method. Two sorts of errors are considered. Firstly, the error in the first vertical derivative that results from the errors in interpolating between isogam lines on the Bouguer anomaly map. Secondly, the error in the first vertical derivative that results from the approximations upon which the computation method is based. The conclusion is reached that both sorts of error are only of minor importance.