1887
Volume 46 Number 5
  • E-ISSN: 1365-2478

Abstract

A method based on the discrete wavelet transform was applied to the regional‐residual separation of potential fields and to the filtering of local anomalies. A specific space‐scale wavelet analysis, called multiresolution analysis, allowed decomposition of the signal with respect to a vast range of scales. Different analysing wavelets were applied to anomalies in both synthetic and real cases, but the more appropriate basis needed to be chosen by requiring the maximum compactness for the multiresolution analysis. Moreover, since such analysis was found not to be shift‐invariant, the same criterion was applied to choosing the best signal shift. Application of the technique to both synthetic and real cases produced an optimal space‐scale representation of the fields and a consistent regional‐residual separation. Furthermore, the space localization allowed a variety of filtered signals to be obtained, each one with a specific scale and local area content. Fourier and wavelet analyses were both applied to the filtering out of the intense Etna anomaly from the aeromagnetic field of Sicily. The wavelet method was more powerful, suppressing only the Etna volcano anomaly and leaving the rest of the map practically unchanged.

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References

  1. AGIP
    AGIP1981. Carta aeromagnetica d'Italia (scala 1:500.000). Attivitè Mineraria Direzione Esplorazione, Idrocarburi, S. Donato Milanese.
  2. BaranovW.1975. Potential Fields and their Transformations in Applied Geophysics. Gebrüder Borntraeger.
  3. BarberiF., GaspariniP., InnocentiF.VillariL.1973. Volcanism of southern Tyrrenian sea and its geodynamic implications. Journal of Geophysical Research78,5221–5232.
    [Google Scholar]
  4. BlakelyR.J.1995. Potential Theory in Gravity and Magnetic Applications, p. 441. Cambridge University Press.
  5. BoccalettiM., NicolichR.TortoriciL.1984. The Calabrian arc and the Ionian sea in the dynamic evolution of the central Mediterranean. Marine Geology55,229–245.
    [Google Scholar]
  6. BracewellR.1965. The Fourier Transform and its Applications. McGraw‐Hill Book Co.
  7. ChakrabortyA.OkayaD.1995. Frequency‐time decomposition of seismic data using wavelet‐based methods. Geophysics60,1906–1916.
    [Google Scholar]
  8. CoifmanR.R., MeyerY.WickerhauserM.V.1992. Wavelet analysis and signal processing. In: Wavelets and their Applications (eds M. B. Ruskai et al.), pp. 153–178. Jones and Bartlett, Boston.
  9. DaubechiesI.1987. Orthonormal bases of wavelets with finite support‐connection with discrete filters. In: Wavelets, Time‐Frequency Methods and Phase‐Space (eds J. M. Combes, A. Grossmann and P. Tchamitchian), pp. 38–‐66. Proceedings of the International Conference, Paris. Springer‐Verlag.
  10. DaubechiesI.1992. Ten Lectures on Wavelets. SIAM, Philadelphia.
  11. DavisA., MurshakA.WiscombeW.1994. Wavelet‐base multifractal analysis of non‐stationary and/or intermittent geophysical signals. In: Wavelets in Geophysics (eds E. Foufoula Georgiou and P. Kumar), pp. 249–298. Academic Press, Inc.
  12. DonohoD.L.1993. Nonlinear wavelet methods for recovery of signals, densities and spectra from indirect and noisy data. Proceedings of Symposia in Applied Mathematics47,173–205.
    [Google Scholar]
  13. FediM.1989. On the quantitative interpretation of magnetic anomalies by pseudo‐gravimetric integration. Terra Nova1,564–572.
    [Google Scholar]
  14. FediM., QuartaT.De SantisA.1997. Inherent power law behavior of magnetic field power spectra from a Spector and Grant ensemble. Geophysics, 64,1143–1150..
    [Google Scholar]
  15. FinettiI.R.1982. Structure, stratigraphy and evolution of central Mediterranean. Bollettino di Geofisica Teorica Applicata24,247–315.
    [Google Scholar]
  16. FoufoulaGeorgiou E.KumarP.1994. Wavelets in Geophysics, p. 373. Academic Press, Inc.
  17. GaborD.1946. Theory of communications. Journal of the Institute of Electrical Engineers93,429–457.
    [Google Scholar]
  18. GoupillaudP., GrossmannA.MorletJ.1984. Cycle‐octave and related transforms in seismic signal analysis. Geoexploration23,85–102.
    [Google Scholar]
  19. GrantF.S.WestG.F.1965. Interpretation Theory in Applied Geophysics, p. 583. McGraw‐Hill Book Co.
  20. GrossmannA.MorletJ.1984. Decomposition of Hardy functions into square integrable wavelets of constant shape. SIAM Journal of Mathematical Analysis15,723–736.
    [Google Scholar]
  21. JawerthB.SweldensW.1994. An overview of wavelet base multiresolution analysis. SIAM Review36,377–412.
    [Google Scholar]
  22. LongarettiG.RocchiS.1990. Il magmatismo dell'avanpaese ibleo (Sicilia orientale) tra il Trias e il Quaternario: dati stratigrafici e petrologigi di sottosuolo. Memorie Società Geologica Italiana45,911–992.
    [Google Scholar]
  23. MallatS.1989. A theory for multiresolution signal decomposition: the wavelet representation. IEEE Transactions on Pattern Analysis and Machine Intelligence11,674–693.
    [Google Scholar]
  24. MallatS.GZhangZ.1993. Matching pursuit with time‐frequency dictionaries. IEEE Transactions on Signal Processing41,3397–3415.
    [Google Scholar]
  25. MeyerY.1993. Wavelets: Algorithms and Applications, p. 133. SIAM, Philadelphia.
  26. PataccaE., ScandoneP., GiuntaG.LiguoriV.1979. Mesozoic paleotectonic evolution of the Ragusa zone (Southeastern Sicily). Geologica Romana18,331–369.
    [Google Scholar]
  27. SaitoN.1994. Simultaneous noise suppression and signal compression using a library of orthonormal bases and the minimum description length criterion. In: Wavelets in Geophysics (eds E. Foufoula Georgiou and P. Kumar), pp. 299–324. Academic Press, Inc.
  28. ScandoneP., GiuntaG.LiguoriV.1977. The connection between the Apulia and Sahara continental margin in the southern Apennines and Sicily. Memorie Società Geologica Italiana13,317–323.
    [Google Scholar]
  29. SpectorA.GrantS.1970. Statistical models for interpreting aeromagnetic data. Geophysics35,293–302.
    [Google Scholar]
  30. WickerhauserM.V.1993. Best‐adapted wavelet packet bases. Proceedings of Symposia in Applied Mathematics47,155–171.
    [Google Scholar]
  31. YaglomA.M.YaglomI.M.1969. Probabilité et Information. Collection Sigma dirigeè par H. Hierche, 17, Dunod, Paris.
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