电阻率成像的混合正则化反演算法  

Electrical resistivity tomography by using a hybrid regularization

作　　者：韩波[1] 窦以鑫[2] 丁亮[3] 

机构地区：[1]哈尔滨工业大学数学系,哈尔滨150001 [2]哈尔滨工业大学航天学院航天工程与力学系,哈尔滨150001 [3]东北林业大学数学系,哈尔滨150001

出　　处：《地球物理学报》2012年第3期970-980,共11页Chinese Journal of Geophysics

基　　金：国家自然科学基金项目(41074088)资助

摘　　要：利用混合正则化方法对二维分片常值电阻率进行反演研究,该方法结合了全变差正则化方法(totalvariation regularization)和经典吉洪诺夫正则化方法(classical Tikhonov regularization)的优点.全变差正则化能够有效地重构分片常值电阻率和识别边界,而经典吉洪诺夫正则化方法则能有效地重构光滑的电阻率,从数值算例中可以看出,将这两种方法有效地结合到一起能够改进重构效果.In this paper,we investigate the reconstruction of a piecewise constant resistivity in 2D by using a hybrid regularization.This hybrid regularization integrates a total variation（TV） regularization with a classical Tikhonov regularization.A TV regularization can reconstruct a piecewise constant resistivity as well as detect jump boundaries,and a classical Tikhonov regularization has the ability to reconstruct a smooth resistivity.Combining a classical Tikhonov regularization with a TV regularization,we can see that the hybrid regularization improves the results of numerical experiments.

关 键 词：电阻率成像 经典吉洪诺夫正则化 全变差正则化方法 混和正则化方法 

分 类 号：P631[天文地球—地质矿产勘探]