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THE USE OF FOURIER SERIES METHOD IN UPWARD CONTINUATION WITH NEW IMPROVEMENTS *
Author(s) -
TSAY L. J.
Publication year - 1975
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.1365-2478.1975.tb00678.x
Subject(s) - classification of discontinuities , continuation , series (stratigraphy) , fourier series , potential field , computation , field (mathematics) , fourier transform , representation (politics) , algorithm , trigonometric functions , geology , geophysics , computer science , mathematics , mathematical analysis , geometry , paleontology , political science , law , programming language , politics , pure mathematics
A bstract This paper shows how to reduce the errors near edges of potential field data that result from using Fourier series in the computation of upward continuation of potential field anomalies. This kind of error, if uncorrected, can lead to erroneous geological interpretation. The errors that occur at both edges of potential field data after upward continuation originate from the representation of data by using Fourier series from which data becomes periodic with discontinuities or sharp changes between each period. In order to reduce this type of error, we propose, either 1) to use only the cosine series, or 2) to add a certain number of constant data to both edges of the original data before continuation. Using these new schemes, we have demonstrated the improvement on the accuracy near edges of continued anomalies with profiles of magnetic anomaly computed from an assumed model.