Estimating depth and model type using the continuous wavelet transform of magnetic data
Estimating depth and model type using the continuous wavelet transform of magnetic data
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DOI：
10.1190/1.1649387
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发表时间：
2004-01
期刊：
影响因子：
3.3
通讯作者：
Marc A. Vallée;P. Keating;Richard S. Smith;Camille St-Hilaire
中科院分区：
文献类型：
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作者：
Marc A. Vallée;P. Keating;Richard S. Smith;Camille St-Hilaire
近年来，连续小波变换被提出用于解释位场异常。利用泊松小波，它相当于解析信号的向上延拓，这种技术允许人们估计均匀场源的埋藏深度，并以结构指数的形式确定源的性质。Moreau等人（1999）通过连续测试小波变换幅度与深度和膨胀（向上延伸高度）之和的对数-对数图上的最小二乘不拟合来实现这一点。我们通过分析一阶和二阶泊松小波系数的比值来扩展这一方法。对于简单的极源，一次膨胀时的比值足以唯一地估计深度和折射率；但是对于有限大小的扩展源，我们必须分析估计随膨胀的变化。该技术在综合和现场实例上均取得了良好的效果。
The continuous wavelet transform has been proposed recently for the interpretation of potential field anomalies. Using Poisson wavelets, which are equivalent to an upward continuation of the analytic signal, this technique allows one to estimate the depth of burial of homogeneous field sources and to determine the nature of the source in the form of a structural index. Moreau et al. (1999) accomplish this by successively testing the least‐squares misfit on a log–log plot of the wavelet transform amplitude versus the sum of the depth and the dilation (upward continuation height). We extend this methodology by analyzing the ratio of the Poisson wavelet coefficients of the first and second orders. For simple pole sources, this ratio at one dilation is enough to estimate the depth and index uniquely; but for extended sources of finite size, we must analyze the variation of the estimates with dilations. The technique gives good results on synthetic and field examples.