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《Chinese Journal of Geophysics》 2007-01
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Magnetic potential spectrum analysis and calculating method of magnetic anomaly derivatives based on discrete cosine transform

ZHANG Feng-Xu~1,ZHANG Feng-Qin~(1,2),MENG Ling-Shun~1,LIU Cai~11 College of Geo-Exploration Science and Technology,Jilin University,Changchun 130026,China2 College of Physics,Jilin University,Changchun 130023,China  
A method of magnetic potential spectrum based on the cosine transform is proposed in order to improve the calculating accuracy of magnetic anomaly derivatives.According to the Poisson equation of gravity-magnetic potential,we derive the relation of cosine transform spectrum between magnetic potential and magnetic field constituent and deduce the cosine transform spectrum formula of n degree derivatives using the cosine transform.The horizontal and vertical first derivatives of magnetic anomalies of an infinite cylinder are calculated by the cosine transform method,in which the maximum errors are-0.28 nT/m and 0.47nT/m,respectively and the percent errors are generally within-3.57%~3.27% and-1.94%~1.88%,respectively except several data of the boundary and part are bigger because of remains of Gibbus effect.The calculating curve and theoretical curve are approximately coincident,and there is no influence by effective magnetic dip angle in computing.But the errors with the Fourier transform method are-10.62nT/m and(14.42nT/m,) there is large departure between the calculating curve and theoretical curve and evident influence by effective magnetic dip angle in computing.It indicates that the calculating accuracy of magnetic anomaly derivatives calculated by cosine transform is higher than Fourier transform,and the computing stability is excellent.
【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“985工程”项目联合资助
【CateGory Index】: P631.2
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