| 利用位场连续复小波变换识辨磁场源(上) |
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| 引用本文： | 陈玉东.利用位场连续复小波变换识辨磁场源(上)[J].物探化探计算技术,2003,25(2):113-118. |
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| 作者姓名： | 陈玉东 |
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| 作者单位： | 中国地质大学,北京,100083 |
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| 摘 要： | 对国外最新研究位场连续复小波变换理论的一系列文章进行了系统总结与高度概括，并利用水平面磁荷模型的垂直分量对齐次位场小波变换系数与位场导数向上延拓的等价关系进行了详细推导与归纳。基于Poisson半群核构成一类柯西小波，它将对位场的求导以及位场向上延拓这两种运算相结合，形成一简单算子，在作用于齐次场源的位场时，其小波变换系数与位场导数向上延拓是等同的，并服从小波变换双尺度规律。利用位场小波变换系数模沿极值轴线的变化特征分别反演磁场源的形态、埋深、倾角，同时利用其相位反演磁倾角。此法实用于重磁资料自动化处理与解释。
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| 关 键 词： | 位场 小波变换 磁场源 反演 |
| 文章编号： | 1001-1749(2003)02-0113-06 |
| 修稿时间： | 2002年1月9日 |
IDENTIFICATION OF MAGNETIC SOURCES WITH CONTINUOUS COMPLEX POTENTIAL WAVELETS TRANSFORM(1) |
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| Abstract: | 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. |
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| Keywords: | wavelet transform geopotential field magnetic sources inversion |
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