Abstract
Tikhonov regularization (TR) method has played a very important role in the gravity data and magnetic data process. In this paper, the Tikhonov regularization method with respect to the inversion of gravity data is discussed. and the extrapolated TR method (EXTR) is introduced to improve the fitting error. Furthermore, the effect of the parameters in the EXTR method on the fitting error, number of iterations, and inversion results are discussed in details. The computation results using a synthetic model with the same and different densities indicated that. compared with the TR method, the EXTR method not only achieves the a priori fitting error level set by the interpreter but also increases the fitting precision, although it increases the computation time and number of iterations. And the EXTR inversion results are more compact than the TR inversion results, which are more divergent. The range of the inversion data is closer to the default range of the model parameters, and the model features and default model density distribution agree well.
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This study was supported by the National Scientific and Technological Plan (Nos. 2009BAB43B00 and 2009BAB43B01).
Wang Zhu-Wen received his PhD from the Department of Applied Geophysics at China University of Geosciences (Beijing) in 1994, M.Sc. in Structure Geology from East China College of Geology in 1990 and B.Sc. in Exploration Geophysics from East China College of Geology in 1987. He is currently a Professor at Jilin University. His interests are new methods and techniques in Geophysical Well Logging, Reservoir Formation Evaluation, Applied Geophysics, Nuclear Geophysics, and Radiation and Environmental Evaluation.
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Wang, ZW., Xu, S., Liu, YP. et al. Extrapolated Tikhonov method and inversion of 3D density images of gravity data. Appl. Geophys. 11, 139–148 (2014). https://doi.org/10.1007/s11770-014-0440-6
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DOI: https://doi.org/10.1007/s11770-014-0440-6