Electrical Resistivity Tomography by Using a Hybrid Regularization

详细信息   

• 责任者：Han Bo (Department of Mathematics ; Harbin Institute of Technology ; Harbin 150001 ; China) ; Dou Yixin
• 刊名：Chinese Journal of Geophysics
• 出版年：2012
• 卷期：55(3)
• 关键词：成像 ; imagery ; 直流电法 ; direct current methods
• 页码：p.970-980
• 图表：5 illus., 33 tables, 2 refs.
• 分类号：1600
• issnNo：ISSN0001-5733
• isbnNo：CN11-2074/P

摘要

In this paper, the authors 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, the authors can see that the hybrid regularization improves the results of numerical experiments.