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.
出处
《地球物理学报》
SCIE
EI
CAS
CSCD
北大核心
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
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
Electrical resistivity tomography
Classical Tikhonov regularization
Total variation regularization
Hybrid regularization
