The application of Prony's decomposition in the analysis of seismic signals
https://doi.org/10.18303/2619-1563-2024-4-75
Abstract
The article presents the results of Prony decomposition using real and synthetic data as an example. This decomposition allows us to obtain the following parameters of a seismic record: attenuation, amplitude, frequency, and phase. The attenuation parameter is associated with the characteristics of the rocks in the geological section, in particular, the compaction of the rocks. The results of the study demonstrate a high correlation between the quality factor, which is the inverse of the obtained attenuation value, and the density of the rocks in the section.
About the Authors
A. A. LisinRussian Federation
Aleksandr A. Lisin
Pirogova Str., 1, Novosibirsk, 630090
Koptyug Ave., 3, Novosibirsk, 630090
G. M. Mitrofanov
Russian Federation
Georgy M. Mitrofanov
Pirogova Str., 1, Novosibirsk, 630090
Koptyug Ave., 3, Novosibirsk, 630090
K. Marks Ave., 20, Novosibirsk, 630073
D. I. Kostashchuk
Russian Federation
Daniil I. Kostashchuk
Pirogova Str., 1, Novosibirsk, 630090
Koptyug Ave., 3, Novosibirsk, 630090
References
1. de Oliveira I.B., Mitrofanov G.M., Priimenko V.I., Freires J.C.P.S. Some aspects of the development of the Prony Filtering method // Brazilian Journal of Geophysics. 2021. Vol. 39 (1). P. 147–158. doi: 10.22564/rbgf.v39i1.2092.
2. de Prony G.R. Essai experimental et analytique: sur les lois de la dilatabilite de fluides elastiques et sur celles de la force expansive de la vapeur de l’eau et de la vapeur de l’alkool, a differentes temperatures // Journal de l’Ecole Polytechnique. 1795. Vol. 1 (2). P. 24–76.
3. Gantmacher F.R. The theory of matrices. In 2 volumes. Chelsea Publishing Company, 1959.
4. Glumov I.F., Malovichkiy Ya.P., Novikov A.A., Senin B.V. Regional geology and petroleum potential of the Caspian Sea (In Russ.). Nedra, Moscow, 2004. 342 p.
5. Gredasova N.V., Koreshnikova M.A., Zhelonkina N.I., Korchemkina L.V., Polishchuk E.G., Ivanov V.M., Andreyeva I.Yu. Linear algebra: Textbook (In Russ.). Ural University Press, Yekaterinburg, 2019. 88 p.
6. Grigorenko Yu.N., Mirchink I.M., Savchenko V.I., Senin B.V., Suprunenko O.I. Structure of the petroleum potential of the continental shelf // Mineral Resources of Russian Shelf. Special Issue to “Mineral Resources of Russia. Economics and Management” (In Russ.). Moscow, 2006. P. 14–71.
7. Kovalev V.P., Telepnev G.F. Application of the method for identifying hidden periodicities in the study of seismic wave dynamics // Doklady Akad. Nauk Ukrain. SSR. Ser. B. 1981. No. 5. P. 10–14. (In Russ.).
8. Mallat S. A wavelets tour of signal processing. Academic Press, 2009. 805 p.
9. Marple S.L. Digital spectral analysis: with applications. Prentice-Hall, 1987. 492 p.
10. Mitrofanov G., Priymenko V. Basics and applications of the Prony filtration method // Seismic Technologies. 2011. No. 3. P. 93–108. (In Russ.).
11. Oppenheim A.V., Schafer R.W. Digital signal processing. Pearson, 1975. 585 p.
12. Rodríguez A.J.F., de Santiago Rodrigo L., López-Guillén E., Rodríguez-Ascariz J.M., Miguel-Jiménez J.M., Boquete L. Coding Prony’s method in MATLAB and applying it to biomedical signal filtering // BMC Bioinformatics. 2018. Vol 19 (1). Article 451. doi:10.1186/s12859-018-2473-y.
13. Sarkar T.K., Pereira O. Using the matrix pencil method to estimate the parameters of a sum of complex exponentials // IEEE Antennas and Propagation Magazine. 1995. Vol. 37 (1). P. 48–55. doi:10.1109/74.370583.
14. Sarkar T.K., Hu F., Hua Y., Wicks M. A real time signal processing technique for approximating a function by a sum of complex exponentials utilizing the Matrix Pencil approach // Digital Signal Processing. 1994. Vol. 4 (2). P. 127–140. doi:10.1006/dspr.1994.1011.
Review
For citations:
Lisin A.A., Mitrofanov G.M., Kostashchuk D.I. The application of Prony's decomposition in the analysis of seismic signals. Russian Journal of Geophysical Technologies. 2024;(4):75-88. (In Russ.) https://doi.org/10.18303/2619-1563-2024-4-75