IDENTIFICATION OF MAGNETIC SOURCES WITH CONTINUOUS COMPLEX POTENTIAL WAVELETS TR ANSFORM
Yu Chen · Computing Techniques for Geophysical and Geochemical Exploration · 2003
The paper systematically summarizes and highly generalizes the latest progresses in potential complex wavelet transform theory developed at abroad, which are presented in the a series of papers. The association of derivation and upward continuation of potential fields is derived in detail on the model of the horizontal plane magnetic distribution. It is useful for combination of derivation and upward continuation of potential fields due to homogeneous sources in a single operator via the wavelet formalism, called Cauchy wavelets based on Poisson semi group. The relationship between the wavelet coefficients at two levels obeys a double scaling law. The depth, shape and thickness of the source as well as its dip can be simultaneously estimated with characteristics of the wavelet coefficients along the extremal line. The technique can be applied for automatic interpretation of potential fields. All the conclusions are verified and discussed with a lot of synthetic magnetic source modeling using the computer programs written by the author.