Statistical Characteristics of the Background Microseismic Field
G. I. Dolgikh1, S. G. Dolgikh1, 2, M. P. Ivanov1, 2, ✉, E. N. Pelinovsky3, 4, 5, T. G. Talipova3
1 V. I. Il’ichev Pacific Oceanological Institute, Far Eastern Branch of Russian Academy of Sciences, Vladivostok, Russian Federation
2 Institute of Automation and Control Processes, Far Eastern Branch of Russian Academy of Sciences, Vladivostok, Russian Federation
3 A. V. Gaponov-Grekhov Institute of Applied Physics, Russian Academy of Sciences, Nizhny Novgorod, Russian Federation
4 Higher School of Economics University, Nizhny Novgorod, Russian Federation
5 Nizhny Novgorod State Technical University n. a. R. E. Alekseev, Nizhny Novgorod, Russian Federation
✉ e-mail: Ivanov.mp@poi.dvo.ru
Abstract
Purpose. The purpose of this study is to investigate the statistical characteristics of the background microseismic field recorded by horizontal unequal-arm laser strainmeters and to assess deviations of the data from a normal distribution.
Methods and Results. The study involved data from two laser strainmeters developed using modern laser-interferometry techniques and installed at the Cape Shults Marine Experimental Station of POI FEB RAS (Primorsky Krai). The analysis focused on microdeformations of the Earth’s crust upper layer measured by laser strainmeters with measuring arm lengths of 52.5 m (North – South orientation) and 17.5 m (West – East orientation). The microseismic noise field was statistically analyzed using data from these laser-interferometric devices for 2019–2020. The considered frequency range (0.05–0.5 Hz) includes microseisms generated by both terrestrial and marine processes (wind and swell waves). The statistical properties of the signals were comprehensively analyzed, including evaluation of skewness and kurtosis coefficients. Deviations from normal distribution were identified, and the Gram-Charlier series, which demonstrated the best correlation with empirical data, was applied to describe the probability density function. Kurtosis was predominantly positive for both components, indicating a high likelihood of large-amplitude outliers.
Conclusions. The performed analysis enabled quantitative assessment of background signal deviations from normal distribution and revealed their key statistical features. These results are crucial for analyzing microseismic background characteristics, as deviations from normality facilitate the study of physical mechanisms underlying the generation and interaction of oceanic, atmospheric and lithospheric processes.
Keywords
microseismic oscillations, laser strainmeter, noise characteristics, statistical characteristics, skewness coefficient, kurtosis coefficient, Fourier transform, Gram-Charlier series
Acknowledgements
The study was carried out with partial financial support from grant No. 075-15-2024-642 “Study of the processes and patterns of occurrence, development and transformation of catastrophic phenomena in the oceans and at the continents using seismoacoustic monitoring methods”.
Original russian text
Original Russian Text © The Authors, 2025, published in MORSKOY GIDROFIZICHESKIY ZHURNAL, Vol. 41, Iss. 5, pp. 611-630 (2025)
For citation
Dolgikh, G.I., Dolgikh, S.G., Ivanov, M.P., Pelinovsky, E.N. and Talipova, T.G., 2025. Statistical Characteristics of the Background Microseismic Field. Physical Oceanography, 32(5), pp. 624-642.
References
- Dolgikh, G.I., Dolgikh, S.G., Chebrov, V.N. and Shevchenko, Yu.V., 2010. Cape of Shults Geophysical Ground. Vestnik of the Far East Branch of the Russian Academy of Sciences, (5), pp. 165-169 (in Russian).
- Vinogradov, A.N., Vinogradov, Yu.A. and Malovichko, A.A., 2014. The Applicability of Seismoinfrasound Monitoring for Remote Control of Geodynamic Regime in Oil and Gas Fields of the Kara Sea Shelf and Yamal Peninsula. Transactions of the Kola Science Centre of RAS, 4(19), pp. 22-31 (in Russian).
- Kovalev, D.P. and Kovalev, P.D., 2024. Tsunami Waves off the Southeastern Coast of Sakhalin Island Caused by the Eruption of the Hunga–Tonga–Hunga–Ha’apai Volcano on January 15, 2022 According to Observations by Bottom Devices of Waves. Moscow University Physics Bulletin, 79(3), pp. 399-407. https://doi.org/10.3103/S0027134924700449
- Tilinina, N., Ivonin, D., Gavrikov, A., Sharmar, V., Gulev, S., Suslov, A., Fadeev, V., Trofimov, B., Bargman, S. [et al.], 2022. Wind Waves in the North Atlantic from Ship Navigational Radar: SeaVision Development and Its Validation with the Spotter Wave Buoy and WaveWatch III. Earth System Science Data, 14(8), pp. 3615-3633. https://doi.org/10.5194/essd-14-3615-2022
- Dolgikh, G.I., Batyushin, G.N., Valentin, D.I., Dolgikh, S.G., Kovalev, S.N., Koren', I.A., Ovcharenko, V.V. and Yakovenko, S.V., 2002. Seismoacoustic Hydrophysical Complex for Monitoring the Atmosphere–Hydrosphere–Lithosphere System. Instruments and Experimental Techniques, 45(3), pp. 401-403. https://doi.org/10.1023/A:1016031925259
- Dolgikh, G., Dolgikh, S., Chupin, V., Davydov, A. and Mishakov, A., 2023. Remote Seismoacoustic Monitoring of Tropical Cyclones in the Sea of Japan. Remote Sensing, 15(6), 1707. https://doi.org/10.3390/ rs15061707
- Dolgikh, G. and Dolgikh, S., 2021. Deformation Anomalies Accompanying Tsunami Origination. Journal of Marine Science and Engineering, 9(10), 1144. https://doi.org/10.3390/jmse9101144
- Dolgikh, G.I. and Dolgikh, S.G., 2021. Effect of Atmospheric Pressure on the Deformation of the Earth’s Crust. Doklady Earth Sciences, 500(2), pp. 848-851. https://doi.org/10.1134/S1028334X21100093
- Dolgikh, G.I., Budrin, S.S. and Dolgikh, S.G., 2024. Transformations of Bottom Pressure Variations Generated by Marine Infragravity Waves into Displacements of the Upper Layer of the Earth’s Crust: Quantitative Assessment. Doklady Earth Sciences, 516(1), pp. 763-767. https://doi.org/10.1134/S1028334X24600841
- Dolgikh, G.I., 2000. The Investigations of the Wave Fields of the Ocean and Lithosphere by Laser – Interference Methods. Vladivostok: Dalnauka, 160 p. (in Russian).
- Beucler, É., Mocquet, A., Schimmel, M., Chevrot, S., Quillard, O., Vergne, J. and Sylvander, M., 2015. Observation of Deep Water Microseisms in the North Atlantic Ocean Using Tide Modulations. Geophysical Research Letters, 42(2), pp. 316-322. https://doi.org/10.1002/2014GL062347
- Le Pape, F., Craig, D. and Bean, C.J., 2021. How Deep Ocean-Land Coupling Controls the Generation of Secondary Microseism Love Waves. Nature Communications, 12(1), 2332. https://doi.org/10.1038/s41467-021-22591-5
- Tanimoto, T. and Anderson, A., 2023. Seismic Noise between 0.003 Hz and 1.0 Hz and Its Classification. Progress in Earth and Planetary Science, 10(1), 56. https://doi.org/10.1186/s40645-023-00587-7
- Ardhuin, F., Stutzmann, E., Schimmel, M. and Mangeney, A., 2011. Ocean Wave Sources of Seismic Noise. Journal of Geophysical Research: Oceans, 116(C9), C09004. https://doi.org/10.1029/2011JC006952
- Moni, A., Craig, D. and Bean, C.J., 2013. Separation and Location of Microseism Sources. Geophysical Research Letters, 40(12), pp. 3118-3122. https://doi.org/10.1002/grl.50566
- Anthony, R.E., Aster, R.C. and McGrath, D., 2017. Links between Atmosphere, Ocean, and Cryosphere from Two Decades of Microseism Observations on the Antarctic Peninsula. Journal of Geophysical Research: Earth Surface, 122(1), pp. 153-166. https://doi.org/10.1002/2016JF004098
- Lin, J., Fang, S., Xu, W., Ni, S., Zhang, H. and Yang, T., 2022. Multi-Instrument Observations of Microseisms Generated by Typhoon Kalmaegi (2014) over the Northwestern Pacific. Earth and Planetary Science Letters, 594, 117746. https://doi.org/10.1016/j.epsl.2022.117746
- Dolgikh, G.I., Valentin, D.I., Dolgikh, S.G., Kovalev, S.N., Koren, I.A., Ovcharenko, V.V. and Fishchenko, V.K., 2002. Application of Horizontally and Vertically Oriented Strainmeters in Geophysical Studies of Transitional Zones. Izvestiya, Physics of the Solid Earth, 38(8), pp. 686-689.
- Dolgikh, G.I., Dolgikh, S.G., Kovalev, S.N., Koren, I.A., Novikova, O.V., Ovcharenko, V.V., Okuntseva, O.P., Shvets, V.A., Chupin, V.A. [et al.], 2004. A Laser Nanobarograph and Its Application to the Study of Pressure-Strain Coupling. Izvestiya, Physics of the Solid Earth, 40(8), pp. 683-691.
- Dolgikh, S.G., Budrin, S.S. and Plotnikov, A.A., 2017. Laser Meter for Hydrosphere Pressure Variations with a Mechanical Temperature Compensation System. Oceanology, 57(4), pp. 600-604. https://doi.org/10.1134/S000143701704004X
- Dolgikh, G.I. and Privalov, V.E., 2016. Laser Physics: Basic and Applied Research. Vladivostok: Reya LLC, 352 p. (in Russian).
- Sayfullin, R.T. and Bochkarev, A.V., 2020. Calculating of Asymmetry and Excess Coefficients for Chromatographic Peaks by Using Chebyshev-Hermite Functions and Gram-Charlier Series. Vestnik of Samara State Technical University. Technical Sciences Series, 28(4), pp. 89-105 (in Russian).
- Montgomery, D.C. and Runger, C.G., 2010. Applied Statistics and Probability for Engineers. USA: John Wiley and Sons Inc., 784 p.
- Slunyaev, A.V., Pelinovsky, D.E. and Pelinovsky, E.N., 2023. Rogue Waves in the Sea: Observations, Physics, and Mathematics. Physics-Uspekhi, 66(2), pp. 148-172. https://doi.org/10.3367/UFNe.2021.08.039038