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《Chinese Journal of Geophysics》 2001-01
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APPLICATION OF CONFORMAL MAPPING IN REGIONAL SURFACE WAVE GROUP VELOCITY INVERSION

ZHU LIANG BAO XU QING CHEN XIAO FEI (Department of Geophysics,Peking University,Beijing 100871,China) [  
Through conformal mapping,in which the group velocities keep unchanged,a regional spherical area can be extended to a much larger spherical segment area,and then to the whole sphere by analytical continuation. Representing velocities by spherical harmonic expansion on the sphere after transformation can greatly reduce the number of spherical harmonic coefficients needed.Thus the inversion of surface wave velocities turns into the linear inversion of spherical harmonic coefficients.The resolution kernel and the root square deviation of the inversion solution can be obtained by analyzing the spherical harmonic coefficients.The algorithm has advantages in a few aspects:fast computing speed,smooth contours,and clear tectonic boundaries.Theoretically,this method is applicable not only to the surface wave group velocity inversion,but also to various analyses of regional fields. [
【Fund】: 国家自然科学基金项目! (4962 540 6) ;; 国家重点基础研究发展规划项目!(G1 9980 4 0 70 2 ) .
【CateGory Index】: P631
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