Abstract
The results of processing and analyzing the instrumental observations of the Earth’s magnetic field at the Geophysical Observatory Mikhnevo of the Institute of Geosphere Dynamics of the Russian Academy of Sciences (IGD RAS) for 2010–2015 are presented. Quasi-harmonic components with the periods close to the lunar–solar tidal waves are revealed in the spectra of geomagnetic variations over a period of 0.4 to 30 days. The elliptical S1 tidal wave which is detected in the geomagnetic variations has modulations with periods of 1/3, 1/2, and 1 year. The spectra of the geomagnetic variations contain peaks corresponding to the free oscillations of the Earth. The analysis of the time series of the magnetic field for the period of the strong earthquakes in the absence of geomagnetic disturbances revealed the fine structure of the Earth’s fundamental spheroidal mode 0S2, which splits into five singlets. The established features of the spectrum of geomagnetic variations are helping the development of the new method for studying the deep structure of the Earth and the properties of the inner geospheres for estimating the viscosity of the Earth’s outer core and dynamics of the current systems in the outer (liquid) core, as well as for exploring, with the use of empirical data, the general regularities governing the regimes of energy exchange processes in the geospheres.
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References
Adushkin, V.V. and Spivak, A.A., Fizicheskie polya v pripoverkhnostnoi geofizike (Physical Fields in the Near-Surface Geophysics), Moscow: GEOS, 2014.
Adushkin, V.V., Spivak, A.A., Ryabova, S.A., and Kharlamov, V.A., Tidal effects in geomagnetic variations, Dokl. Earth Sci., 2017a, vol. 474, no. 1, pp. 579–582.
Adushkin, V.V., Spivak, A.A., Rybnov, Yu.S., and Kharlamov, V.A., Tidal waves and pressure variations in the Earth’s atmosphere, Geofiz. Issled., 2017b, vol. 18, no. 3, pp. 67–80.
Avsyuk, Yu.N., Prilivnye sily i prirodnye protsessy (Tidal Forces and Natural Processes), Moscow: OIFZ, 1996.
Backus, G.E. and Gilbert, J.F., Numerical applications of a formalism for geophysical inverse problems, Geophys. J. R. Astron. Soc., 1967, vol. 13, pp. 247–276.
Bobova, V.N., Osipov, K.S., Savina, N.G., Vladimirskii, B.M., and Pudovkin, M.I., On the probable seismic nature of the long-period (T = 1–4 h) variations in geomagnetic storminess, Geomagn. Aeron., 1990, vol. 30, no. 3, pp. 492–494.
Dahlen, F.A., The normal modes of a rotating, elliptical Earth, Geophys. J. R. Astron. Soc., 1968, vol. 16, pp. 329–367.
Dubrov, A.M., Mkhitaryan, V.S., and Troshin, L.I., Mnogomernye statisticheskie metody: uchebnik dlya studentov ekonomicheskikh spetsial’nostei vysshikh uchebnykh zavedenii (Multivariate Statistical Methods: A Textbook for Graduate Students in Economics), Moscow: Finansy i Statistika, 2003.
Fukao, Y., Nishida, N., Suda, N., Nawa, R., and Kobayashi, N., A theory of the Earth’s background free oscillations, J. Geophys. Res., 2002, vol. 107. doi 10.1029/ 2001JB000153
Gilbert, J.F. and Backus, G.T., Approximate solutions to the inverse normal mode problem, Bull. Seismol. Soc. Am., 1968, vol. 58, pp. 103–131.
Glasmeier, K.-H., Soffel, H., and Negendank, J.F.W., Geomagnetic Field Variations. Berlin: Springer, 2009.
Grachev, A.V., On recovering the gaps in the experimental data, Vestn. NNGU im. N.I. Lobachevskogo, Ser. Radiofiz., 2004, no. 2, pp. 15–23.
Grubbs, F.E., Procedures for detecting outlying observations in samples, Technometrics, 1969, vol. 11, no. 1, pp. 1–21.
Grunskaya, L.V., Elektromagnetizm prizemnogo sloya i ego vzaimosvyaz’ s geogfizicheskimi i astrofizicheskimi protsessami (Electromagnetism of Atmospheric Boundary Layer and Its Interrelationship with Geophysical and Astrophysical Processes), Vladimir: Vladim. Gos. univ., 2002.
Grunskaya, L.V., Morozov, V.N., Zakirov, A.A., Rubai, D.V., and Rubai, R.V., Solar and lunar tides in the geomagnetic field, Russ. Phys. J., 2011, vol. 54, no. 2, pp. 133–146.
Gvishiani, A.D. and Lukianova, R.Yu., Geoinformatics and Observations of the Earth’s Magnetic Field: The Russian Segment, Izv., Phys. Solid Earth, 2015, vol. 51, no. 2, pp. 157–175.
Hoaglin, D.C., Mosteller, F., and Tukey, J.W., Understanding Robust and Exploratory Data Analysis, 2nd ed., New York: Wiley, 2000.
Igel, H., Nader, M.-F., Kurrle, D., Ferreira, A.M.G., Wasserman, J., and Schreiber, U., Observations of Earth’s toroidal free oscillations with a rotation sensor: the 2011 magnitude 9.0 Tohoku-Oki earthquake, Geophys. Res. Lett., 2011, vol. 38, L21303.
Kanasevich, E.R., Analiz vremennykh posledovatel’nostei v geofizike (Analysis of Time Sequences in Geophysics), Moscow: Nedra, 1985.
Kobayashi, N. and Nishida, K., Continuous excitation of planetary free oscillations by atmospheric disturbances, Nature, 1998, vol. 395, pp. 357–360.
Krolevets, A.N. and Kopylova, G.N., Tidal components in the electrotelluric field, Izv., Phys. Solid Earth, 2003, vol. 39, no. 5, pp. 418–427.
Krolevets, A.N. and Sheremet’eva, O.V., A probable mechanism of magnetic variations, Vulkanol. Seismol., 2004, no. 4, pp. 16–21.
Kuznetsov, V.V., Fizika Zemli. Uchebnik-monografiya (Physics of the Earth: Textbook and Monograph), Novosibirsk, 2011.
Lin’kov, E.M., Seismicheskie yavleniya (Seismic Phenomena), Leningrad: Leningr. univ., 1987.
Malin, S.R.C., Tuncer, M.K., and Yarici-Cakin, O., Systematic analysis of geomagnetic observatory data. A proposed method, Geophys. J. Int., 1996, vol. 126, pp. 635–644.
Marple, S.L., Digital Spectral Analysis with Applications, Englewood Cliffs: Prentice Hall, 1987.
Milyukov, V.K., Observation of the fine structure of the fundamental spheroidal mode 0S2, Izv., Phys. Solid Earth, 2005, vol. 41, no. 4, pp. 267–272.
Milyukov, V.K., Vinogradov, M.P., Mironov, A.P., Myasnikov, A.V., and Perelygin, N.A., The free oscillations of the Earth excited by three strongest earthquakes of the past decade according to deformation observations, Izv., Phys. Solid Earth, 2015, vol. 51, no. 2, pp. 176–190.
Molodenskii, S.M., Prilivy, nutatsiya i vnutrennee stroenie Zemli (Tides, Nutations, and Interior Structure of the Earth), Moscow: Nauka, 1984.
Molodenskii, S.M. and Molodenskaya, M.S., Resonance of liquid core according to the data of tidal gravity observations in Talgar, Izv., Phys. Solid Earth, 2009, vol. 45, no. 10, pp. 839–844.
Ness, N.F., Harrison, J.C., and Slichter, L.B., Observations of the free oscillations of the Earth, J. Geophys. Res., 1961, vol. 66, no. 2, pp. 621–629.
Park, J., Amoruso, A., Crescentini, L., and Boschi, E., Long period toroidal earth free oscillations from the great Sumatra–Andaman earthquake observed by paired laser extensometers in Grand Sasso, Italy, Geophys. J. Int., 2008, vol. 178, pp. 887–905.
Sheremet’eva, O.V., Components of geomagnetic variations with tidal wave frequencies, Geomagn. Aeron., 2011, vol. 51, no. 2, pp. 221–225.
Sheremet’eva, O.V. and Smirnov, S.E., Tidal components of geomagnetic variations, Geomagn. Aeron., 2007, vol. 47, no. 5, pp. 588–597.
Shved, G.M., Petrova, L.N., and Polyakova, O.S., Penetration of the Earth’s free oscillations at 54 minute period into the atmosphere, Ann. Geophys., 2000, vol. 18, pp. 566–572.
Sidorenkov, N.S., Celestial-mechanical factors of the weather and climate change, Geofiz. Protsessy Biosfera, 2015, vol. 14, no. 3, pp. 5–26.
Sobolev, G.A., Pulsations in the Free Oscillations of the Earth, Izv., Phys. Solid Earth, 2015, vol. 51, no. 3, pp. 321–330.
Sokoloff, D.D., Geodynamo and models of geomagnetic field generation: a review, Geomagn. Aeron., 2004, vol. 44, no. 5, pp. 533–542.
Somsikov, V.M., Andreev, A.B., Zhumabaev, B.T., and Sokolova, O.N., Analysis of diurnal dynamics of the geomagnetic field variation spectrum, Geomagn. Aeron., 2011, vol. 51, no. 1, pp. 66–70.
Starzhinsky, S.S., The thin structure of lunar daily variation in a geomagnetic field, Dokl. Earth Sci., 2004, vol. 398, no. 1, pp. 950–952.
Starjinsky, S.S., Studying the dynamics of the lunar daily geomagnetic variations, Geomagn. Aeron., 2008, vol. 48, no. 2, pp. 265–276.
Stening, R.J., Simulating the lunar geomagnetic variations, J. Geophys. Res., 2002, vol. 107, no. A7, pp. 1125–1131.
Suda, N., Nawa, K., and Fukao, Y., Earth’s background free oscillations, Science, 1998, vol. 79, pp. 2089–2091.
Tanimoto, T. and Um, J., Earth’s continuous oscillations observed on seismically quiet days, Geophys. Res. Lett., vol. 25, no. 10, pp. 1553–1556.
Tietjen, G.L. and Moore, R.H., Some Grubbs-type statistics for the detection of several outliers, Technometrics, 1972, vol. 14, pp. 583–597.
Tietjen, G.L., Moore, R.H., and Backman, R.J., Testing for a single outlier in a simple linear regression, Technometrics, 1973, vol. 15, pp. 717–721.
Tikhonov, N.N. and Arsenin, V.Ya., Metody resheniya nekorrektnykh zadach (Methods for Solving Ill-Posed Problems), Moscow: Nauka, 1979.
Widrow, B. and Stearns, S.D., Adaptive Signal Processing, New Jersey: Prentice-Hall, 1985.
Winch, D.E., Bolt, B.A., and Slaucitajs, L., Geomagnetic fluctuations with the frequencies of torsional oscillations of the Earth, J. Geophys. Res., 1963, vol. 68, no. 9, pp. 2685–2693.
Zernov, N.V. and Karpov, V.G., Teoriya radiotekhnicheskikh tsepei (Theory of Radio Circuits), Leningrad: Energiya, 1972.
Zhamaletdinov, A.A., Mitrofanov, F.P., Tokarev, A.D., and Shevtsov, A.N., The influence of lunar and solar tidal deformations on electrical conductivity and fluid regime of the Earth’s crust, Dokl. Earth. Sci., 2000, vol. 371, no. 1, pp. 403–407.
Zharkov, V.N., Fizika Zemnykh nedr (Physics of the Earth’s Interior), Moscow: Nauka i obrazovanie, 2012.
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Original Russian Text © V.V. Adushkin, A.A. Spivak, V.A. Kharlamov, 2018, published in Fizika Zemli, 2018, No. 6, pp. 59–71.
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Adushkin, V.V., Spivak, A.A. & Kharlamov, V.A. Manifestation of the Lunar–Solar Tide and Free Oscillations of the Earth in the Variations of the Magnetic Field. Izv., Phys. Solid Earth 54, 859–871 (2018). https://doi.org/10.1134/S1069351318060010
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DOI: https://doi.org/10.1134/S1069351318060010