1887
Volume 48, Issue 3
  • ISSN: 0812-3985
  • E-ISSN: 1834-7533

Abstract

[

Based on the Hilbert-Huang transform, a time-frequency analysis method is proposed to obtain stable estimates of the magnetotelluric response function. The response function estimation is performed in the time-frequency domain using instantaneous spectra rather than in the frequency domain, which allows for imaging the response parameter content as a function of time and frequency.

,

The time-frequency analysis method represents signal as a function of time and frequency, and it is considered a powerful tool for handling arbitrary non-stationary time series by using instantaneous frequency and instantaneous amplitude. It also provides a possible alternative to the analysis of the non-stationary magnetotelluric (MT) signal. Based on the Hilbert-Huang transform (HHT), a time-frequency analysis method is proposed to obtain stable estimates of the magnetotelluric response function. In contrast to conventional methods, the response function estimation is performed in the time-frequency domain using instantaneous spectra rather than in the frequency domain, which allows for imaging the response parameter content as a function of time and frequency. The theory of the method is presented and the mathematical model and calculation procedure, which are used to estimate response function based on HHT time-frequency spectrum, are discussed. To evaluate the results, response function estimates are compared with estimates from a standard MT data processing method based on the Fourier transform. All results show that apparent resistivities and phases, which are calculated from the HHT time-frequency method, are generally more stable and reliable than those determined from the simple Fourier analysis. The proposed method overcomes the drawbacks of the traditional Fourier methods, and the resulting parameter minimises the estimation bias caused by the non-stationary characteristics of the MT data.

]
ASEG
Loading

Article metrics loading...

/content/journals/10.1071/EG15014
2017-09-01
2026-01-12

  • From This Site

    /content/journals/10.1071/EG15014
    dcterms_title,dcterms_subject,pub_keyword
    -contentType:Journal -contentType:Contributor -contentType:Concept -contentType:Institution
    10
    5
Loading full text...

Full text loading...

References

  1. Alexandrescu M. Gilbert D. Hulot G. Le Mouel J.-L. Saracco G. 1995 Detection of geomagnetic jerks using wavelet analysis: Journal of Geophysical Research 100 12557 12572 10.1029/95JB00314
    https://doi.org/10.1029/95JB00314 [Google Scholar]
  2. Berdichevsky M. N. 1973 Magnetotelluric sounding with applications to mathematical filters: Physics of the Earth 3 76 92
    [Google Scholar]
  3. Bostick, F. X., 1977, A simple almost exact method of MT analysis: Workshop on Electrical Methods in Geothermal Exploration, US Geological Survey, Contract No. 14080001–8-359.
  4. Cai J. H. Tang J. T. Hua X. R. 2009 An analysis method for magnetotelluric data based on the Hilbert–Huang Transform: Exploration Geophysics 40 197 205 10.1071/EG08124
    https://doi.org/10.1071/EG08124 [Google Scholar]
  5. Chant, I. J., and Hastie, L. M., 1991, A comparison of Fourier and Wigner-Ville signal processing methods applied to a magnetotelluric survey of the Kenmore oil field: Proceedings of the Australian Society of Exploration Geophysicists 8th Conference and Exhibition and Geological Society of Australia Exploration Symposium, 42–43.
  6. Chant I. J. Hastie L. M. 1992 Time-frequency analysis of magnetotelluric data: Geophysical Journal International 111 399 413 10.1111/j.1365‑246X.1992.tb00586.x
    https://doi.org/10.1111/j.1365-246X.1992.tb00586.x [Google Scholar]
  7. Chant I. J. Hastie L. M. 1993 A comparison of the stability of stationary and non-stationary magnetotelluric analysis methods: Geophysical Journal International 115 1143 1147 10.1111/j.1365‑246X.1993.tb01516.x
    https://doi.org/10.1111/j.1365-246X.1993.tb01516.x [Google Scholar]
  8. Chen L. S. H. Bai G. X. 1984 The transient spectrum method for analyzing magnetotelluric data: Oil Geophysical Prospecting 12 562 574 [in Chinese]
    [Google Scholar]
  9. Duffy D. G. 2004 The application of Hilbert-Huang transforms to meteorological data sets: Journal of Atmospheric and Oceanic Technology 21 599 611 10.1175/1520‑0426(2004)021<0599:TAOHTT>2.0.CO;2
    https://doi.org/10.1175/1520-0426(2004)021<0599:TAOHTT>2.0.CO;2 [Google Scholar]
  10. Flandrin, P., 1999. Time-frequency/time-scale analysis: Academic Press.
  11. Huang N. E. Wu Z. 2008 A review on Hilbert-Huang transform: method and its applications to geophysical studies: Reviews of Geophysics 46 RG2006 10.1029/2007RG000228
    https://doi.org/10.1029/2007RG000228 [Google Scholar]
  12. Huang N. E. Shen Z Long S. R. Wu M. C. Shih H. H. Zheng Q Yen N.-C. Tung C. C. Liu H. H. 1998 The empirical mode decomposition and the Hilbert spectrum for nonlinear and non-stationary time series analysis: Proceedings of the Royal Society of London Series A: Mathematical, Physical and Engineering Sciences 454 903 995 10.1098/rspa.1998.0193
    https://doi.org/10.1098/rspa.1998.0193 [Google Scholar]
  13. Huang N. E. Wu Z. Long S. R. 2009 On instantaneous frequency: Advances in Adaptive Data Analysis 1 177 229 10.1142/S1793536909000096
    https://doi.org/10.1142/S1793536909000096 [Google Scholar]
  14. Jones A. G. Chave A. D. Egbert G Auld D Bahr K 1989 A comparison of techniques for magnetotelluric response function estimation: Journal of Geophysical Research: Solid Earth 94 14201 14213
    [Google Scholar]
  15. Rato R. T. Ortigueira M. D. Batista A. G. 2008 On the HHT, its problems, and some solutions: Mechanical Systems and Signal Processing 22 1374 1394 10.1016/j.ymssp.2007.11.028
    https://doi.org/10.1016/j.ymssp.2007.11.028 [Google Scholar]
  16. Ritter O Junge A Dawes G 1998 New equipment and processing for magnetotelluric remote reference observations: Geophysical Journal International 132 535 548 10.1046/j.1365‑246X.1998.00440.x
    https://doi.org/10.1046/j.1365-246X.1998.00440.x [Google Scholar]
  17. Sims W. E. Bostick F. X. Smith H. W. 1971 The estimation of magnetotelluric impedance tensor elements from measured data: Geophysics 36 938 942 10.1190/1.1440225
    https://doi.org/10.1190/1.1440225 [Google Scholar]
  18. Suto N. Harada M. Izutsu J. Nagao T. 2006 Time variation of the electromagnetic transfer function of the earth estimated by using wavelet transform: Proceedings of the Japan Academy, Series B 82 175 180 10.2183/pjab.82.175
    https://doi.org/10.2183/pjab.82.175 [Google Scholar]
  19. Szarka L. 1988 Geophysical aspects of man-made electromagnetic noise in the earth - a review: Surveys in Geophysics 9 287 318 10.1007/BF01901627
    https://doi.org/10.1007/BF01901627 [Google Scholar]
  20. Tang J. T. Hua X. R. Cao Z. M. 2008 Hilbert–Huang transformation and noise suppression of magnetotelluric sounding data: Chinese Journal of Geophysics 51 603 610 [in Chinese]
    [Google Scholar]
  21. Tikhonov A. N. Berdichevsky M. N. 1966 Experience in the use of magnetotelluric methods to study the geological structures of sedimentary basins: Izvestiya, Academy of Sciences, USSR, Physics of the Solid Earth 2 34 41
    [Google Scholar]
  22. Trad, D. O., and Travassos, J. M., 1996, Magnetotelluric data analysis: robust filter in discrete wavelet analysis: 13th Workshop on Electromagnetic Induction in the Earth, paper 7.13.
  23. Vozoff K. 1972 The magnetotelluric method in the exploration of sedimentary basins: Geophysics 37 98 141 10.1190/1.1440255
    https://doi.org/10.1190/1.1440255 [Google Scholar]
  24. Wang S. M. Wang J. Y. 2004 a Discussion on the non-minimum phase of magnetotelluric signals: Progress in Geophysics 19 216 221 [in Chinese]
    [Google Scholar]
  25. Wang S. M. Wang J. Y. 2004 b Application of higher-order statistics in magnetotelluric data processing: Chinese Journal of Geophysics 47 928 934 [in Chinese]
    [Google Scholar]
/content/journals/10.1071/EG15014
Loading
A time-frequency analysis method to obtain stable estimates of magnetotelluric response function based on Hilbert-Huang transform
Exploration Geophysics 48, 192 (2017); https://doi.org/10.1071/EG15014
/content/journals/10.1071/EG15014
/content/journals/10.1071/EG15014
Loading

Data & Media loading...

  • Article Type: Research Article
Keyword(s): Hilbert-Huang transform, magnetotelluric signals, response function estimation, time-frequency method.

Most Cited This Month Most Cited RSS feed

This is a required field
Please enter a valid email address
Approval was a Success
Invalid data
An Error Occurred
Approval was partially successful, following selected items could not be processed due to error