【摘要】 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。更多还原

【Abstract】 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.更多还原