拟MQ函数在物探数据处理中的应用

Application of quasi-MQ function in geophysical data processing

拟MQ函数是一种保形、稳定、快速的插值方法,可改善地球物理数据处理效果。笔者首先介绍了MQ函数的基本原理,给出拟MQ函数及其导数的表达式,并将该函数应用于物探数据处理案例中以检验应用效果。发现在拟合地表高程数据时,利用该函数能够很好地逼近地表形态,最大程度保留原始数据特征;在对高密度电法数据处理中,利用该函数能很好地压制噪声,从而更有利于数据的分析与解释;在对电测深数据处理中,利用该函数进行一维插值和数值微分,能够较好地提取地下弱异常信息,从而展示出拟MQ函数在物探数据处理中的实用性及潜力。

The quasi-MQ function is a shape-preserving,stable,and fast interpolation method that can improve the performance of geophysical data processing.In this paper,We first introduce the basic principle of the MQ function.We give the expression of the quasi-MQ function and its derivative and apply this function to geophysical data processing cases to test the application effect.The results show that in fitting the surface elevation data,the quasi-MQ function can be used to approximate the surface shape well and retain the original data characteristics to the maximum extent;in the data processing of high-density electrical method,using this function can suppress the noise well,which is more conducive to the analysis and interpretation of data;in the processing of electrical sounding data,using this function to carry out one-dimensional interpolation and numerical differentiation can extracted the weak anomaly information well.All these confirm the practicability and potential of the quasi-MQ function in geophysical data processing.