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A CONTRIBUTION TO THE QUANTITATIVE ERROR ANALYSIS IN MAGNETIC AND GRAVIMETRIC INTERPRETATION *
Author(s) -
HJELT S. E.
Publication year - 1974
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.1365-2478.1974.tb00105.x
Subject(s) - interpretation (philosophy) , square root , gravimetric analysis , magnetic anomaly , mathematics , least squares function approximation , point (geometry) , anomaly (physics) , simple (philosophy) , geology , statistics , geometry , geophysics , chemistry , physics , computer science , philosophy , epistemology , organic chemistry , programming language , condensed matter physics , estimator
A bstract The paper discusses the smallest obtainable parameter errors (variances) in the interpretation with the least‐squares method. Useful approximations of the sum of squares contained in the minimum error expressions are obtained using results of numerical integration. The approximations lead to especially simple results for long interpretation profiles, when the parameter errors are proportional to the square root of the point separation. Formulae are developed and examples shown for minimum error calculation in gravimetric interpretation with the cylindrical model and in magnetic interpretation with the two‐dimensional plate model. Smallest errors are obtained when the interpretation profile is chosen around the anomaly maximum except for dip and depth extent interpretation of magnetic plates.