地球物理反演的拟线性近似方法综述

Review of Quasi-Linear Approximation in Geophysical Inversion

以地球物理反演的非线性及其线性化方法为背景 ,系统地介绍了拟线性近似的基本思想及其在地球物理反演中的应用 .在数学类比的基础上 ,提出了将拟线性近似方法应用到直流位场反演的研究中的思想框架 .通过分析 ,得出了拟线性近似方法可以在地球物理反演研究中广泛应用的结论 .

Based on the discussion of the non-linearity of geophysical inversion, we review the main ideas of the quasi-linear approximation, the quasi-linear series and the quasi-linear inversion as well as the application of the quasi-linear approximation to some geophysical problems. We find that the quasi-linear approximation is a practical approach to the solution of the non-linear problems in geophysical inversion, because the method is based on simple principles and the range of the applicability of the method is much broader than the classical linear approximations.