A Dual-Parameter Regularization Method for Electrical Conductivity Imaging

详细信息   

• 责任者：Wang Wenjuan (School of Mathematical Sciences ; Fudan University ; Shanghai 200433 ; China) ; Chris Farmer
• 刊名：Chinese Journal of Geophysics
• 出版年：2011
• 卷期：54(8)
• 关键词：电法勘探 ; electrical exploration ; 电导率 ; electrical conductivity ; 成像 ; imagery
• 页码：p.2154-2159
• 图表：8 illus., 22 refs.
• 分类号：1600
• issnNo：ISSN0001-5733
• isbnNo：CN11-2074/P

摘要

This paper presents a dual-parameter regularization method with two parameters by introducing a regularization term with a second order regularization operator. The optimal value of the regularization parameter is determined by applying the L-curve criterion, discrepancy principle, and generalized cross-validation. The validity and superiority of the proposed method is verified by numerical simulations of the theoretical model with Truncated Singular Value Decomposition, Conjugate Gradient, and Standard-form Tikhonov Regularization. The results are of very high precision and confirm the stability of the method against random data noises. Finally, we apply the proposed method conductivity imaging. The imaging results imaging quality and fidelity. This further inversion problems, the proposed method multiplicity of solutions, and performs faster to geophysical inversion problems in electrical conclude that the proposed method improves the validates that, when it is applied to geophysical improves the stability of inversion, reduces the computations.