An analysis method for magnetotelluric data based on the Hilbert–Huang Transform
Jian-Hua Cai 1 2 3 Jing-Tian Tang 1 Xi-Rui Hua 1 Yu-Rong Gong 11 Institute of Info-physics and Geomatics Enginerring, Central South University, Changsha, Hunan 410083, China.
2 Institute of Physics and Electronic, Hunan University of Arts and Science, Changde, Hunan 415000, China.
3 Corresponding author. Email: caijianhua79@gmail.com
Exploration Geophysics 40(2) 197-205 https://doi.org/10.1071/EG08124
Submitted: 20 November 2008 Published: 17 June 2009
Abstract
Prevailing methods of magnetotelluric (MT) data analysis determine the spectra using variations of the Fourier Transform (FT), which is based on the principle of signal stationarity. However, MT data series are non-stationary random signals that do not meet the basic requirements of conventional methods based on the FT. In recent years, the Hilbert–Huang Transform (HHT) has been regarded as a powerful tool for adaptive analysis of non-linear and non-stationary signals. This paper proposes for the first time the adoption of a new method of analysis for MT data, and focuses on two aspects that are facilitated by applying the HHT. The first aspect is the pretreatment of the MT time series data through selecting MT data subsets, and noise suppression; the other concerns the determination of the impedance and apparent resistivity using the HHT instantaneous spectrum. The conclusion reached through discussion of the first aspect is that the proposed methods can greatly improve the quality of MT data. The conclusion drawn from the second aspect is that the HHT instantaneous spectrum method can overcome the problems described above, and obtain stable and reliable estimation of the impedance tensor, and thus naturally minimise the estimation bias brought about by the non-stationary characteristics of MT data. Therefore, the HHT method is effective in analysing MT data and is able to generate meaningful geological information.
Key words: empirical mode decomposition, Hilbert–Huang Transform, impedance estimation, instantaneous spectrum, magnetotelluric data, noise suppression.
Acknowledgments
The authors express their appreciation for the financial support provided by the State 863 Project of China (Project No: 2006AA06Z10).
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