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《Progress In Geophysics》 2003-01
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Geophysical signal decomposition by singular method and application in GIS

LI Qing mou 1 ,LIU Shao hua 2(1. Department of Earth Sciences, York University, Toronto M3J 1P3, Canada;2. Institute of geology and geophysics 1, Chinese academy of sciences, Beijing 100101,China)  
In this paper, Bouguer anomaly was reconstructed as 2 D arrays by singular decomposition method. The cross multiplying of left and right eigenvector matrix created an orthogonal base. The projection coefficients for Bouguer anomaly are its eigenvalues (square of singular values). These singular values are one kind of power spectra or energy density. After comparison of energy density, changing rate of energy density and accumulated energy density, the energy measurement was defines as the function of energy density radii. The energy measurement defined by this way is related with the radii by multi fractal power law. Use optimal least square (LS) segmentation, the breaks points on radii coordinate were got. Use these breaks, geophysical fields could be reconstructed, filtered or decomposed in this orthogonal space. A program was made and integrated into GIS environment fro this purpose. Then using this tool, the geophysical data from Nova Scotia, Canada, were processed and the results were compared with known gold deposit ores positions and geology. It approved that the reconstructed fields represent background and anomalies very nicely. This method could also be used in image processing and compressing. By this software, the singular analysis and reconstruction can be done on a fly and with most facilities and could overlay with other known datasets.
【Key Words】: GIS(geographical information system) singular decomposition anomaly separation image processing gold exploration orthogonal space
【Fund】: 国家自然科学基金项目 ( 4 97742 3 7)资助 .
【CateGory Index】: P631
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