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《Chinese Journal of Geophysics》 2006-01
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A new method for spectral analysis of the potential field and conversion of derivative of gravity-anomalies: cosine transform

ZHANG Feng_Xu~(1), MENG Ling_Shun~(1),ZHANG Feng_Qin~(1,2),LIU Cai~(1), WU Yan_Gang~(1), DU Xiao_Juan~(1)1 Geo_Exploration Science and Technology Institute, Jilin University, Changchun 130026, China 2 College of Physics, Jilin University, Changchun 130023, China  
In order to improve the accuracy of derivative conversion of gravity anomalies and reflect anomaly characteristic of geologic bodies effectively, we propose a new method of calculating anomaly derivative using cosine transform. Two theorems are put forward and proved and the common expression of the cosine transform spectrum of the gravity potential field and the formula to calculate derivatives of gravity anomalies are deduced. So the theory of cosine_transform_spectrum of the potential_field is established. In model experiments, we find that the deviation of the first derivative calculated by Fourier transform is very large to comparing with the theoretical derivative, but the fitting effect of the derivative of anomalies calculated by cosine transform is very good. The calculation accuracy of data are all very high except that errors of several data on the boundary are large because of the residual Gibbus effect induced by finite truncation of gravity anomalies. Errors are (-0.09%~5%.)
【Fund】: 大庆探区外围中新生代断陷盆地群演化与油气远景项目(XQ-2007-07-05);; 吉林大学“九八五工程”项目资助.
【CateGory Index】: P631.22
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