垂直激电测深二维自适应正则化反演

2D Selfadaptive Regularization Inversion with Vertical Induced Polarization Sounding Data

摘要:

为了提高垂直激电测深2维反演的分辨率和稳定性,提出了一种针对垂直激电测深数据的自适应正则化反演方法.在整个反演过程中,正则化因子的选取无需人为干涉,实现了完全的自适应.给出了极化率数据的广义线性总体光滑约束反演方法,分别对极化率反演中初始模型的给定、偏导数矩阵的计算及自适应正则化因子的选取进行了研究,并编制了实用、高效的垂直激电测深2维反演软件.通过对模拟和实测的垂直激电测深数据反演,验证了方法的可行性和有效性,编制的反演软件可用于实际生产.

Abstract:

The paper presents a selfadaptive regularization inversion method to improve the resolution and stability of 2D inversion for vertical induced polarization sounding(VIPS) data.The choice of regularization factor can be completely selfadaptively adjusted during the global inversion by taking no human effort.First,the generalized linear inversion method is introduced that total smooth constraint is imposed,and studies are made of the construction of initial model,the computation of partial derivative matrix and the choice of selfadaptive regularization factor of VIPS inversion.Then, the practical and effective 2D inversion software of vertical induced polarization sounding is programmed.Finally,it is verified through inverting the simulated and measured VIPS data that the method is feasible and effective,and the inversion software can be applied to the practical work.