二维连续复小波变换识别重力场源

THE IDENTIFICATION OF GRAVITY ANOMALY WITH CONTINUOUS COMPLEX POTENTIAL WAVELET TRANSFORM

利用旋转反投影法由位场一维连续母小波构造出二维连续母小波,同时也给出了位场中适应性非常强的矢量分析母小波和张量分析母小波。在理论模型上(直方棱柱体和球体)进行了二维连续小波变换,估计了场源的尺度指数,通过尺度指数与欧拉结构指数关系式得到场源的欧拉结构指数,由此可以识别出重力场源的类型,成功地实现了重力场源的快速反演。此法实用于重磁资料快速自动化处理、反演与解释。

Using inverse rotational projection, this paper has constructed 2-D continuous potential mother wavelets from 1 -D continuous potential mother wavelets. At the same time, the widely-used mother wavelets for vector analysis and for tensor analysis are given. 2-D continuous potential wavelet transforms were conducted on synthetic models. SI （ Euler Structure index） for gravity sources was obtained by estimating the scale exponent , so that gravity sources could be identified. Gravity sources were quickly and successfully inversed by means of continuous potential wavelet transforms. This approach is useful in fast automation processing, inversion and interpretation of magnetic and gravity fields.