Magnetotelluric Response Function Estimation Based on Hilbert–Huang Transform

Magnetotelluric (MT) data series are non-stationary random signals that do not meet the basic requirements of conventional methods based on the Fourier transform. To minimize the estimation bias errors brought about by the non-stationary characteristics of MT data, a new method, based on the Hilbert...

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Bibliographic Details
Published in:Pure and applied geophysics 2013-11, Vol.170 (11), p.1899-1911
Main Author: Cai, Jian-hua
Format: Article
Language:English
Subjects:
Computer simulation
Earth and Environmental Science
Earth Sciences
Electromagnetic fields
Electromagnetism
Fourier transforms
Geophysics
Geophysics/Geodesy
Mathematical analysis
Mathematical models
Response functions
Time series
Transforms
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Summary:Magnetotelluric (MT) data series are non-stationary random signals that do not meet the basic requirements of conventional methods based on the Fourier transform. To minimize the estimation bias errors brought about by the non-stationary characteristics of MT data, a new method, based on the Hilbert–Huang transform (HHT), is proposed for the first time for estimating the MT response functions from a time series of electromagnetic field variations. With the HHT method, the amplitude of data series are expressed as a function of frequency and time and then response functions are estimated statistically from the time–frequency spectrum. Mathematical model and calculation processes are introduced and some simulated data are analyzed to verify the correctness of the method. Finally, the measured MT data is facilitated by applying the HHT to assess the ability of HHT method to quantify meaningful geologic information.
ISSN:0033-4553
1420-9136
DOI:10.1007/s00024-012-0620-3