Abstract
Current article discusses a possibility of applying wavelets based on the Poisson kernel for processing and interpretation the area potential fields. By analyzing their wavelet-spectrum, it is possible to determine the position of sources. It is also possible to reconstruct or calculate the transformants of the original signal using the inverse wavelet transform of the wavelet-spectrum.
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References
Bulychev A.A. (1985) Methods of potential fields processing and interpretation based on the apparatus of spectral transformations: Doct. Diss. Moscow., 1985. 145 pp. (in Russian)
Gravimetry. Reference book of geophysics (1990)/edited by E.A. Mudrecova, K.E. Veselov. Moscow.: Nedra 1990. 607 pp. (in Russian)
Kobrunov A.I., Varfolomeev V.A. (1981) On one method of ε-equivalent redistributions and its use in the interpretation of gravitational fields. //Izv. AN SSSR. Fizika Zemli. 1981. № 10. pp. 25–44. (in Russian)
Kuznetsov K.M., Obolenskiy I.V., Bulychev A.A. (2015) Potential fields transformations based on continuos wavelet-transformation//Moscow University Bulletin. Series 4: Geology. — 2015. — № 6. — pp. 61–70 (in Russian)
Obolenskiy I.V., Bulychev A.A. (2011) Application of complex continuous Poisson wavelet-transformations for sources of potential field’s anomalies determination. //Geophysical research. 2011. vol. 12. №3. pp. 5–21 (in Russian)
Pugin A.V. (2004) Wavelets: a new tool for interpreting potential fields. //Gornoe eho. Vestnik Gornogo inctituta UrO RAN. 2004. № 3. pp. 20–23 (in Russian)
Utyomov E.V., Nurgaliev D.K., Hamidullina G.S. (2010) Technology of gravity data processing and interpretation based on the “natural” wavelet-transform, Uchenye zapiski Kazanskogo universiteta. 2010. vol. 152, book 3. pp. 208–222 (in Russian)
Yudin M.N., Farkov Yu.A., Filatov D.M. (2001) Introduction in wavelet-analysis. Moscow.: MGAA. 2001 (in Russian)
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Kuznetsov, K.M., Bulychev, A.A., Lygin, I.V. (2019). Gridded Potential Fields Data Analysis Based on Poisson Wavelet-Transformations. In: Nurgaliev, D., Khairullina, N. (eds) Practical and Theoretical Aspects of Geological Interpretation of Gravitational, Magnetic and Electric Fields. Springer Proceedings in Earth and Environmental Sciences. Springer, Cham. https://doi.org/10.1007/978-3-319-97670-9_4
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DOI: https://doi.org/10.1007/978-3-319-97670-9_4
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