利用位场连续复小波变换识辨磁场源(下)

基于齐次位场源的位场柯西小波变换，等效于位场向上延拓和求导两种运算相结合原理，建立了不同的理论模型，并编写了所有程序，通过合成资料的大量计算，对所有结果进行了验证与讨论。利用小波变换系数模沿极值轴线的变化特征，可以同时反演位场源的几何形状、埋深、倾角。实用于重磁资料自动化处理与解释，为磁场反演提供了一条新的途径。

IDENTIFICATION OF MAGNETIC SOURCES WITH CONTINUOUS COMPLEX POTENTIAL WAVELETS TRANSFORM

The theory models are established based on the pr inciple that cauchy wavelet transform of potential field for homogeneous causati ve sources is equivalent to the combination of upward continuation wit h any order derivatives of potential fields and obeys a double scaling law. Conc lusions are verified on richen synthetic field sources with writing programs. T he geometry, depth and dip of causative sources can be simultaneously inverted u tilizing wavelet transform coefficients modulus along modelus maxima lines. Con tinuous complex potential wavelet transform provides a new kind of approach and is useful for automation processing, inversion and interpretation of magnetic an d gravity fields.