利用相关系数法确定三种位场垂向导数换算的滤波参数

Determination of filtering parameters for conversion of vertical derivatives of three potential fields by correlation coefficient method

垂向导数被广泛应用于位场数据的处理和解释中。在波数域中常规垂向导数算子受噪声的影响较大。通常解决方法是在垂向导数算子中引入低通滤波器,来压制高频噪声的干扰。Butterworth低通滤波、Hanning窗滤波以及向上延拓滤波是三种效果较好的低通滤波,但存在滤波参数较难选择的问题。针对这个问题,本文利用相关系数法确定各方法的滤波参数,避免了人为因素对求导结果的影响。模型试验和松辽盆地镇赉地区实际数据处理结果表明,使用相关系数法确定滤波参数后能快速获得较好的垂向导数结果,其中Butterworth低通滤波的导数结果相比其他两种方法的效果要好。

Vertical derivatives are widely used in the processing and interpretation of potential field data.In wavenumber domain,the conventional vertical derivative operators are greatly affected by noise.The usual solution is to introduce a low-pass filter into the vertical derivative operator to suppress the interference of high-frequency noise.Butterworth low pass filtering,Hanning window filtering and upward continuation filtering are three methods of low-pass filtering with better effect,but it is difficult to select filter parameters.In order to solve this problem,the authors use correlation coefficient to determine the filtering parameters of each method,to avoid the influence of human factors on the derivation results.The model test and the actual data processing results in Zhenlai area of Songliao Basin show that good vertical derivative results can be obtained quickly by using correlation coefficient method to determine filtering parameters.Moreover,the derivative result of Butterworth low-pass filter is better than that of Hanning window filtering and upward continuation filtering.