研究多层密度界面的正则化非线性反演方法

NORMALIZED NONLINEAR INVERSION FOR THE MULTI-DENSITY-INTERFACE

同济大学

本文简述了用重力方法计算多层密度界面的几种方法,并着重叙述了以垂直Z轴侧边的梯形棱柱的组合体为模型的正则化非线性反演方法的基本原理及计算方法等。同时在理论模型试计结果的基础上,讨论了方法的应用条件和影响精度的多种因素。通过适当修饰与处理,此法已应用于实测重力资料的反演计算中.最后,理论模型计算和实际资料反演的结果均证实了此方法的有效性和可行性.

In this paper, several techniques for estimating the multi-density-interfaces in accordance with the gravity data were described in brief. Special attention was paid to the basic principle of the normalized nonlinear inversion for the model of trapezoid prisms and its algorithm. In line with the results obtained from the synthetical model calculations, the conditions for its use and the factors affected to its accuracy were discussed and examined. At present, the technique recommended has used in solving the inversed problem of the field data. Both the effectiveness and the flexibility of the technique mentioned above have been verified by comparing the results of the synthetical model and the results of the inversion of the field data.